TSTP Solution File: SWW382+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW382+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 : n006.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 18:08:56 EDT 2024
% Result : Theorem 198.12s 198.39s
% Output : CNFRefutation 198.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW382+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jun 19 06:02:24 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.50 start to proof:theBenchmark
% 197.65/198.22 %-------------------------------------------
% 197.65/198.22 % File :CSE---1.7
% 197.65/198.22 % Problem :theBenchmark
% 197.65/198.22 % Transform :cnf
% 197.65/198.22 % Format :tptp:raw
% 197.65/198.22 % Command :java -jar mcs_scs.jar %d %s
% 197.65/198.22
% 197.65/198.22 % Result :Theorem 183.260000s
% 197.65/198.22 % Output :CNFRefutation 183.260000s
% 197.65/198.22 %-------------------------------------------
% 197.65/198.23 %------------------------------------------------------------------------------
% 197.65/198.23 % File : SWW382+1 : TPTP v8.2.0. Released v5.2.0.
% 197.65/198.23 % Domain : Software Verification
% 197.65/198.23 % Problem : Hoare's Logic with Procedures 435619, 5000 axioms selected
% 197.65/198.23 % Version : Especial.
% 197.65/198.23 % English :
% 197.65/198.23
% 197.65/198.23 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 197.65/198.23 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 197.65/198.23 % Source : [Bla11]
% 197.65/198.23 % Names : hoare_435619.5000.p [Bla11]
% 197.65/198.23
% 197.65/198.23 % Status : ContradictoryAxioms
% 197.65/198.23 % Rating : 0.64 v8.2.0, 0.61 v8.1.0, 0.75 v7.4.0, 0.77 v7.3.0, 0.83 v7.2.0, 0.79 v7.1.0, 0.74 v7.0.0, 0.80 v6.4.0, 0.77 v6.3.0, 0.79 v6.2.0, 0.88 v6.1.0, 0.90 v6.0.0, 0.87 v5.5.0, 0.93 v5.4.0, 0.89 v5.3.0, 0.93 v5.2.0
% 197.65/198.23 % Syntax : Number of formulae : 5250 (1761 unt; 0 def)
% 197.65/198.23 % Number of atoms : 12583 (4568 equ)
% 197.65/198.23 % Maximal formula atoms : 13 ( 2 avg)
% 197.65/198.23 % Number of connectives : 8335 (1002 ~; 150 |; 711 &)
% 197.65/198.23 % ( 887 <=>;5585 =>; 0 <=; 0 <~>)
% 197.65/198.23 % Maximal formula depth : 22 ( 6 avg)
% 197.65/198.23 % Maximal term depth : 19 ( 2 avg)
% 197.65/198.23 % Number of predicates : 145 ( 144 usr; 2 prp; 0-6 aty)
% 197.65/198.23 % Number of functors : 398 ( 398 usr; 56 con; 0-7 aty)
% 197.65/198.23 % Number of variables : 16639 (16498 !; 141 ?)
% 197.65/198.23 % SPC : FOF_THM_RFO_SEQ
% 197.65/198.23
% 197.65/198.23 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 197.65/198.23 % 2011-03-01 12:57:34
% 197.65/198.23 %------------------------------------------------------------------------------
% 197.65/198.23 %----Relevant facts (4985)
% 197.65/198.23 fof(fact_ext,axiom,
% 197.65/198.23 ! [V_g_2,V_f_2] :
% 197.65/198.23 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 197.65/198.23 => V_f_2 = V_g_2 ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_empty,axiom,
% 197.65/198.23 ! [V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 197.65/198.23 ! [V_a_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_asm,axiom,
% 197.65/198.23 ! [V_G_2,V_ts_2,T_a] :
% 197.65/198.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_G_2))
% 197.65/198.23 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_weaken,axiom,
% 197.65/198.23 ! [V_ts_2,V_ts_H_2,V_G_2,T_a] :
% 197.65/198.23 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_H_2)
% 197.65/198.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 197.65/198.23 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_thin,axiom,
% 197.65/198.23 ! [V_G_2,V_ts_2,V_G_H_2,T_a] :
% 197.65/198.23 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 197.65/198.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_H_2),V_G_2))
% 197.65/198.23 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_cut,axiom,
% 197.65/198.23 ! [V_G_2,V_ts_2,V_G_H_2,T_a] :
% 197.65/198.23 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 197.65/198.23 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_G_H_2)
% 197.65/198.23 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_hoare__derivs_Oinsert,axiom,
% 197.65/198.23 ! [V_ts_2,V_t_2,V_G_2,T_a] :
% 197.65/198.23 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.23 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2)
% 197.65/198.23 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_derivs__insertD,axiom,
% 197.65/198.23 ! [V_ts_2,V_t_2,V_G_2,T_a] :
% 197.65/198.23 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2))
% 197.65/198.23 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.23 & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_MGT__BodyN,axiom,
% 197.65/198.23 ! [V_G_2,V_pn_2] :
% 197.65/198.23 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn_2))),V_G_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 197.65/198.23 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_finite__imageI,axiom,
% 197.65/198.23 ! [V_h_2,T_b,V_Fa_2,T_a] :
% 197.65/198.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.65/198.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_Fa_2))) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_empty__subsetI,axiom,
% 197.65/198.23 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_finite_OinsertI,axiom,
% 197.65/198.23 ! [V_a_2,V_A_2,T_a] :
% 197.65/198.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_finite_OemptyI,axiom,
% 197.65/198.23 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_image__eqI,axiom,
% 197.65/198.23 ! [T_a,V_A_2,T_b,V_x_2,V_f_2,V_b_2] :
% 197.65/198.23 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 197.65/198.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/198.23 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_subsetD,axiom,
% 197.65/198.23 ! [V_c_2,V_B_2,V_A_2,T_a] :
% 197.65/198.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.23 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.23 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_insertE,axiom,
% 197.65/198.23 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 197.65/198.23 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 197.65/198.23 => ( V_a_2 != V_b_2
% 197.65/198.23 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_insertCI,axiom,
% 197.65/198.23 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 197.65/198.23 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 197.65/198.23 => V_a_2 = V_b_2 )
% 197.65/198.23 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_emptyE,axiom,
% 197.65/198.23 ! [V_a_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_image__constant,axiom,
% 197.65/198.23 ! [V_c_2,T_b,V_A_2,V_x_2,T_a] :
% 197.65/198.23 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.23 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_image__constant__conv,axiom,
% 197.65/198.23 ! [V_c_2,T_b,T_a,V_A_2] :
% 197.65/198.23 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.23 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 197.65/198.23 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.23 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_insert__dom,axiom,
% 197.65/198.23 ! [T_b,V_y_2,T_a,V_x_2,V_f_2] :
% 197.65/198.23 ( hAPP(V_f_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 197.65/198.23 => hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) = c_Map_Odom(T_b,T_a,V_f_2) ) ).
% 197.65/198.23
% 197.65/198.23 fof(fact_equalityCE,axiom,
% 197.65/198.23 ! [V_c_2,T_a,V_B_2,V_A_2] :
% 197.65/198.23 ( V_A_2 = V_B_2
% 197.65/198.23 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.23 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) )
% 197.65/198.23 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_equalityI,axiom,
% 197.65/198.24 ! [V_B_2,V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/198.24 => V_A_2 = V_B_2 ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_eq__mem__trans,axiom,
% 197.65/198.24 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 197.65/198.24 ( V_a_2 = V_b_2
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_eqelem__imp__iff,axiom,
% 197.65/198.24 ! [V_A_2,T_a,V_y_2,V_x_2] :
% 197.65/198.24 ( V_x_2 = V_y_2
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_eqset__imp__iff,axiom,
% 197.65/198.24 ! [V_x_2,T_a,V_B_2,V_A_2] :
% 197.65/198.24 ( V_A_2 = V_B_2
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_mem__def,axiom,
% 197.65/198.24 ! [V_A_2,V_x_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_finite__code,axiom,
% 197.65/198.24 ! [V_A_2,T_a] :
% 197.65/198.24 ( class_Finite__Set_Ofinite(T_a)
% 197.65/198.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_finite,axiom,
% 197.65/198.24 ! [V_A_2,T_a] :
% 197.65/198.24 ( class_Finite__Set_Ofinite(T_a)
% 197.65/198.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__code,axiom,
% 197.65/198.24 ! [V_x_2,V_A_2,V_y_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))
% 197.65/198.24 <=> ( V_y_2 = V_x_2
% 197.65/198.24 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__commute,axiom,
% 197.65/198.24 ! [V_A_2,V_y_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__absorb2,axiom,
% 197.65/198.24 ! [V_A_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_equalityE,axiom,
% 197.65/198.24 ! [T_a,V_B_2,V_A_2] :
% 197.65/198.24 ( V_A_2 = V_B_2
% 197.65/198.24 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_subset__trans,axiom,
% 197.65/198.24 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_equalityD2,axiom,
% 197.65/198.24 ! [T_a,V_B_2,V_A_2] :
% 197.65/198.24 ( V_A_2 = V_B_2
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_equalityD1,axiom,
% 197.65/198.24 ! [T_a,V_B_2,V_A_2] :
% 197.65/198.24 ( V_A_2 = V_B_2
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_set__eq__subset,axiom,
% 197.65/198.24 ! [T_a,V_B_2,V_A_2] :
% 197.65/198.24 ( V_A_2 = V_B_2
% 197.65/198.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_subset__refl,axiom,
% 197.65/198.24 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_image__image,axiom,
% 197.65/198.24 ! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_a,hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f_2),V_g_2)),V_A_2) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_equals0D,axiom,
% 197.65/198.24 ! [V_a_2,T_a,V_A_2] :
% 197.65/198.24 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.24 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_empty__iff,axiom,
% 197.65/198.24 ! [V_c_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_ex__in__conv,axiom,
% 197.65/198.24 ! [V_A_2,T_a] :
% 197.65/198.24 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.65/198.24 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_all__not__in__conv,axiom,
% 197.65/198.24 ! [V_A_2,T_a] :
% 197.65/198.24 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.65/198.24 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__absorb,axiom,
% 197.65/198.24 ! [V_A_2,V_a_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.65/198.24 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insertI2,axiom,
% 197.65/198.24 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__ident,axiom,
% 197.65/198.24 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 197.65/198.24 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 197.65/198.24 => ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)
% 197.65/198.24 <=> V_A_2 = V_B_2 ) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__iff,axiom,
% 197.65/198.24 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 197.65/198.24 <=> ( V_a_2 = V_b_2
% 197.65/198.24 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insertI1,axiom,
% 197.65/198.24 ! [V_B_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_set__mp,axiom,
% 197.65/198.24 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_set__rev__mp,axiom,
% 197.65/198.24 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_in__mono,axiom,
% 197.65/198.24 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_rev__image__eqI,axiom,
% 197.65/198.24 ! [T_b,V_f_2,V_b_2,V_A_2,V_x_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_imageI,axiom,
% 197.65/198.24 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_image__iff,axiom,
% 197.65/198.24 ! [V_A_2,V_f_2,T_b,V_z_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 197.65/198.24 <=> ? [B_x] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/198.24 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_finite_Oequations_I1_J,axiom,
% 197.65/198.24 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_singleton__inject,axiom,
% 197.65/198.24 ! [V_b_2,V_a_2,T_a] :
% 197.65/198.24 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 197.65/198.24 => V_a_2 = V_b_2 ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_doubleton__eq__iff,axiom,
% 197.65/198.24 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.65/198.24 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 197.65/198.24 <=> ( ( V_a_2 = V_c_2
% 197.65/198.24 & V_b_2 = V_d_2 )
% 197.65/198.24 | ( V_a_2 = V_d_2
% 197.65/198.24 & V_b_2 = V_c_2 ) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__not__empty,axiom,
% 197.65/198.24 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_empty__not__insert,axiom,
% 197.65/198.24 ! [V_A_2,V_a_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_finite__insert,axiom,
% 197.65/198.24 ! [V_A_2,V_a_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)))
% 197.65/198.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_subset__empty,axiom,
% 197.65/198.24 ! [V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 197.65/198.24 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_image__is__empty,axiom,
% 197.65/198.24 ! [V_A_2,V_f_2,T_a,T_b] :
% 197.65/198.24 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.24 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_image__empty,axiom,
% 197.65/198.24 ! [V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_empty__is__image,axiom,
% 197.65/198.24 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.65/198.24 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)
% 197.65/198.24 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_finite__subset,axiom,
% 197.65/198.24 ! [V_B_2,V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.65/198.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_rev__finite__subset,axiom,
% 197.65/198.24 ! [V_A_2,V_B_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.65/198.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_insert__mono,axiom,
% 197.65/198.24 ! [V_a_2,V_D_2,V_C_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_D_2))) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_subset__insertI2,axiom,
% 197.65/198.24 ! [V_b_2,V_B_2,V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_subset__insertI,axiom,
% 197.65/198.24 ! [V_a_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_image__insert,axiom,
% 197.65/198.24 ! [V_B_2,V_a_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_image__mono,axiom,
% 197.65/198.24 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_subset__image__iff,axiom,
% 197.65/198.24 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 197.65/198.24 <=> ? [B_AA] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_AA),V_A_2))
% 197.65/198.24 & V_B_2 = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),B_AA) ) ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_singletonE,axiom,
% 197.65/198.24 ! [V_a_2,V_b_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 197.65/198.24 => V_b_2 = V_a_2 ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_singleton__iff,axiom,
% 197.65/198.24 ! [V_a_2,V_b_2,T_a] :
% 197.65/198.24 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 197.65/198.24 <=> V_b_2 = V_a_2 ) ).
% 197.65/198.24
% 197.65/198.24 fof(fact_subset__insert,axiom,
% 197.65/198.24 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 197.65/198.24 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 197.65/198.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_insert__subset,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2))
% 197.65/198.25 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 197.65/198.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_insert__image,axiom,
% 197.65/198.25 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.25 => hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_subset__singletonD,axiom,
% 197.65/198.25 ! [V_x_2,V_A_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 197.65/198.25 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.25 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_finite__surj,axiom,
% 197.65/198.25 ! [V_f_2,V_B_2,T_b,V_A_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 197.65/198.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_domI,axiom,
% 197.65/198.25 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] :
% 197.65/198.25 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2)
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_a,V_m_2))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_finite__dom__body,axiom,
% 197.65/198.25 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_MGF,axiom,
% 197.65/198.25 ! [V_c_2] :
% 197.65/198.25 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 197.65/198.25 => ( c_Com_OWT__bodies
% 197.65/198.25 => ( hBOOL(hAPP(c_Com_OWT,V_c_2))
% 197.65/198.25 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_the__elem__eq,axiom,
% 197.65/198.25 ! [V_x_2,T_a] : c_Set_Othe__elem(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ).
% 197.65/198.25
% 197.65/198.25 fof(fact_MGT__Body,axiom,
% 197.65/198.25 ! [V_Procs_2,V_G_2] :
% 197.65/198.25 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Procs_2))
% 197.65/198.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),V_Procs_2))
% 197.65/198.25 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),V_Procs_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_order__refl,axiom,
% 197.65/198.25 ! [V_x,T_a] :
% 197.65/198.25 ( class_Orderings_Opreorder(T_a)
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_pred__subset__eq,axiom,
% 197.65/198.25 ! [V_S_2,V_R_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))
% 197.65/198.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_bot__fun__def,axiom,
% 197.65/198.25 ! [V_x_2,T_b,T_a] :
% 197.65/198.25 ( class_Orderings_Obot(T_a)
% 197.65/198.25 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_bot__empty__eq,axiom,
% 197.65/198.25 ! [V_x_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))
% 197.65/198.25 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_the_Osimps,axiom,
% 197.65/198.25 ! [V_x,T_a] : hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ).
% 197.65/198.25
% 197.65/198.25 fof(fact_folding__one_Oinsert,axiom,
% 197.65/198.25 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.25 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.65/198.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.25 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,V_A_2)) ) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_BodyN,axiom,
% 197.65/198.25 ! [V_G_2,V_Q_2,V_pn_2,V_P_2,T_a] :
% 197.65/198.25 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),V_G_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.25 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_weak__Body,axiom,
% 197.65/198.25 ! [V_Q_2,V_pn_2,V_P_2,V_G_2,T_a] :
% 197.65/198.25 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.25 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_sup1CI,axiom,
% 197.65/198.25 ! [T_a,V_A_2,V_x_2,V_B_2] :
% 197.65/198.25 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 197.65/198.25 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 197.65/198.25 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_sup1E,axiom,
% 197.65/198.25 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.65/198.25 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 197.65/198.25 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_UnE,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_UnCI,axiom,
% 197.65/198.25 ! [V_A_2,V_B_2,V_c_2,T_a] :
% 197.65/198.25 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) )
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__absorb,axiom,
% 197.65/198.25 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__commute,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__left__absorb,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__left__commute,axiom,
% 197.65/198.25 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__assoc,axiom,
% 197.65/198.25 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_bex__Un,axiom,
% 197.65/198.25 ! [V_P_2,V_B_2,V_A_2,T_a] :
% 197.65/198.25 ( ? [B_x] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.25 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.65/198.25 <=> ( ? [B_x] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.65/198.25 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.65/198.25 | ? [B_x] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 197.65/198.25 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_ball__Un,axiom,
% 197.65/198.25 ! [V_P_2,V_B_2,V_A_2,T_a] :
% 197.65/198.25 ( ! [B_x] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.25 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.65/198.25 <=> ( ! [B_x] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.65/198.25 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.65/198.25 & ! [B_x] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 197.65/198.25 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_sup1I2,axiom,
% 197.65/198.25 ! [V_A_2,T_a,V_x_2,V_B_2] :
% 197.65/198.25 ( hBOOL(hAPP(V_B_2,V_x_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_sup1I1,axiom,
% 197.65/198.25 ! [V_B_2,T_a,V_x_2,V_A_2] :
% 197.65/198.25 ( hBOOL(hAPP(V_A_2,V_x_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_triple_Oinject,axiom,
% 197.65/198.25 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_a] :
% 197.65/198.25 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 197.65/198.25 <=> ( V_fun1_2 = V_fun1_H_2
% 197.65/198.25 & V_com_2 = V_com_H_2
% 197.65/198.25 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_sup__Un__eq,axiom,
% 197.65/198.25 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 197.65/198.25 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__iff,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.25 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.25 | hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_UnI1,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_UnI2,axiom,
% 197.65/198.25 ! [V_A_2,V_B_2,V_c_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__empty__left,axiom,
% 197.65/198.25 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__empty__right,axiom,
% 197.65/198.25 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__empty,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,T_a] :
% 197.65/198.25 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.25 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.25 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_finite__Un,axiom,
% 197.65/198.25 ! [V_G_2,V_Fa_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_Fa_2),V_G_2)))
% 197.65/198.25 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.65/198.25 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_finite__UnI,axiom,
% 197.65/198.25 ! [V_G_2,V_Fa_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.65/198.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2))
% 197.65/198.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_Fa_2),V_G_2))) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__insert__right,axiom,
% 197.65/198.25 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__insert__left,axiom,
% 197.65/198.25 ! [V_C_2,V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__upper1,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__upper2,axiom,
% 197.65/198.25 ! [V_A_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_subset__Un__eq,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.25 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__absorb1,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__absorb2,axiom,
% 197.65/198.25 ! [V_A_2,V_B_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/198.25 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__least,axiom,
% 197.65/198.25 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Un__mono,axiom,
% 197.65/198.25 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_image__Un,axiom,
% 197.65/198.25 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_insert__is__Un,axiom,
% 197.65/198.25 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_hoare__derivs_OBody,axiom,
% 197.65/198.25 ! [V_Procs_2,V_Q_2,V_P_2,V_G_2,T_a] :
% 197.65/198.25 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 197.65/198.25 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_linorder__linear,axiom,
% 197.65/198.25 ! [V_y,V_x,T_a] :
% 197.65/198.25 ( class_Orderings_Olinorder(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_order__eq__iff,axiom,
% 197.65/198.25 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.25 ( class_Orderings_Oorder(T_a)
% 197.65/198.25 => ( V_x_2 = V_y_2
% 197.65/198.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_order__eq__refl,axiom,
% 197.65/198.25 ! [V_y,V_x,T_a] :
% 197.65/198.25 ( class_Orderings_Opreorder(T_a)
% 197.65/198.25 => ( V_x = V_y
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_order__antisym__conv,axiom,
% 197.65/198.25 ! [V_x_2,V_y_2,T_a] :
% 197.65/198.25 ( class_Orderings_Oorder(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.25 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_ord__eq__le__trans,axiom,
% 197.65/198.25 ! [V_c,V_b,V_a,T_a] :
% 197.65/198.25 ( class_Orderings_Oord(T_a)
% 197.65/198.25 => ( V_a = V_b
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_xt1_I3_J,axiom,
% 197.65/198.25 ! [V_c,V_b,V_a,T_a] :
% 197.65/198.25 ( class_Orderings_Oorder(T_a)
% 197.65/198.25 => ( V_a = V_b
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_ord__le__eq__trans,axiom,
% 197.65/198.25 ! [V_c,V_b,V_a,T_a] :
% 197.65/198.25 ( class_Orderings_Oord(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/198.25 => ( V_b = V_c
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_xt1_I4_J,axiom,
% 197.65/198.25 ! [V_c,V_a,V_b,T_a] :
% 197.65/198.25 ( class_Orderings_Oorder(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/198.25 => ( V_b = V_c
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_order__antisym,axiom,
% 197.65/198.25 ! [V_y,V_x,T_a] :
% 197.65/198.25 ( class_Orderings_Oorder(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.25 => V_x = V_y ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_order__trans,axiom,
% 197.65/198.25 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.25 ( class_Orderings_Opreorder(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_xt1_I5_J,axiom,
% 197.65/198.25 ! [V_x,V_y,T_a] :
% 197.65/198.25 ( class_Orderings_Oorder(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.25 => V_x = V_y ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_xt1_I6_J,axiom,
% 197.65/198.25 ! [V_z,V_x,V_y,T_a] :
% 197.65/198.25 ( class_Orderings_Oorder(T_a)
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_linorder__le__cases,axiom,
% 197.65/198.25 ! [V_y,V_x,T_a] :
% 197.65/198.25 ( class_Orderings_Olinorder(T_a)
% 197.65/198.25 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_eq__mem,axiom,
% 197.65/198.25 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))
% 197.65/198.25 <=> V_x_2 = V_y_2 ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_WT_Oequations_I7_J,axiom,
% 197.65/198.25 ! [V_a_2] :
% 197.65/198.25 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))
% 197.65/198.25 <=> ? [B_y] : hAPP(c_Com_Obody,V_a_2) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_rev__predicate1D,axiom,
% 197.65/198.25 ! [V_Q_2,T_a,V_x_2,V_P_2] :
% 197.65/198.25 ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2))
% 197.65/198.25 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_predicate1D,axiom,
% 197.65/198.25 ! [V_x_2,V_Q_2,V_P_2,T_a] :
% 197.65/198.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2))
% 197.65/198.25 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.65/198.25 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_option_Oinject,axiom,
% 197.65/198.25 ! [V_a_H_2,V_a_2,T_a] :
% 197.65/198.25 ( hAPP(c_Option_Ooption_OSome(T_a),V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_a_H_2)
% 197.65/198.25 <=> V_a_2 = V_a_H_2 ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_folding__one_Osingleton,axiom,
% 197.65/198.25 ! [V_x_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.25 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.65/198.25 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_com_Osimps_I6_J,axiom,
% 197.65/198.25 ! [V_pname_H_2,V_pname_2] :
% 197.65/198.25 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2)
% 197.65/198.25 <=> V_pname_2 = V_pname_H_2 ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_WT__bodiesD,axiom,
% 197.65/198.25 ! [V_b,V_pn] :
% 197.65/198.25 ( c_Com_OWT__bodies
% 197.65/198.25 => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
% 197.65/198.25 => hBOOL(hAPP(c_Com_OWT,V_b)) ) ) ).
% 197.65/198.25
% 197.65/198.25 fof(fact_Body1,axiom,
% 197.65/198.25 ! [V_pn_2,V_Procs_2,V_Q_2,V_P_2,V_G_2,T_a] :
% 197.65/198.25 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 197.65/198.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procs_2))
% 197.65/198.25 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P_2,V_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Q_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 197.65/198.25
% 197.65/198.26 fof(fact_pred__equals__eq,axiom,
% 197.65/198.26 ! [V_S_2,V_R_2,T_a] :
% 197.65/198.26 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)
% 197.65/198.26 <=> V_R_2 = V_S_2 ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_bot__least,axiom,
% 197.65/198.26 ! [V_x,T_a] :
% 197.65/198.26 ( class_Orderings_Obot(T_a)
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__fun__def,axiom,
% 197.65/198.26 ! [V_g_2,V_f_2,T_a,T_b] :
% 197.65/198.26 ( class_Orderings_Oord(T_b)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 197.65/198.26 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__funD,axiom,
% 197.65/198.26 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 197.65/198.26 ( class_Orderings_Oord(T_b)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__funE,axiom,
% 197.65/198.26 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 197.65/198.26 ( class_Orderings_Oord(T_b)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_bot__apply,axiom,
% 197.65/198.26 ! [V_x_2,T_b,T_a] :
% 197.65/198.26 ( class_Orderings_Obot(T_a)
% 197.65/198.26 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Body__sound__lemma,axiom,
% 197.65/198.26 ! [V_Procs_2,V_Q_2,V_P_2,V_G_2,T_a] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_MGF__lemma1,axiom,
% 197.65/198.26 ! [V_c_2,V_G_2] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 197.65/198.26 => ( ! [B_x] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) )
% 197.65/198.26 => ( hBOOL(hAPP(c_Com_OWT,V_c_2))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_MGF__complete,axiom,
% 197.65/198.26 ! [V_Q_2,V_P_2,V_c_2] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 197.65/198.26 => ( c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_finite__pointwise,axiom,
% 197.65/198.26 ! [V_Q_2,V_P_2,V_Q_H_2,V_c0_2,V_P_H_2,V_G_2,T_b,V_U_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_U_2))
% 197.65/198.26 => ( ! [B_p] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,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_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
% 197.65/198.26 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,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_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,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_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__fun__def,axiom,
% 197.65/198.26 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WTs__elim__cases_I7_J,axiom,
% 197.65/198.26 ! [V_P] :
% 197.65/198.26 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_P)))
% 197.65/198.26 => ~ ! [B_y] : hAPP(c_Com_Obody,V_P) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_triple_Osimps_I2_J,axiom,
% 197.65/198.26 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_triple_Orecs,axiom,
% 197.65/198.26 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Option_Oset_Osimps_I2_J,axiom,
% 197.65/198.26 ! [V_x_2,T_a] : c_Option_Oset(T_a,hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__apply,axiom,
% 197.65/198.26 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__bot__left,axiom,
% 197.65/198.26 ! [V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.65/198.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_hoare__sound,axiom,
% 197.65/198.26 ! [V_ts_2,V_G_2,T_a] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2)
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,V_ts_2) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup_Oidem,axiom,
% 197.65/198.26 ! [V_a,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__idem,axiom,
% 197.65/198.26 ! [V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup_Ocommute,axiom,
% 197.65/198.26 ! [V_b,V_a,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_inf__sup__aci_I5_J,axiom,
% 197.65/198.26 ! [V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => 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) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__commute,axiom,
% 197.65/198.26 ! [V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup_Oleft__idem,axiom,
% 197.65/198.26 ! [V_b,V_a,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_inf__sup__aci_I8_J,axiom,
% 197.65/198.26 ! [V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => 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) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__left__idem,axiom,
% 197.65/198.26 ! [V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup_Oleft__commute,axiom,
% 197.65/198.26 ! [V_c,V_a,V_b,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_inf__sup__aci_I7_J,axiom,
% 197.65/198.26 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => 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)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__left__commute,axiom,
% 197.65/198.26 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup_Oassoc,axiom,
% 197.65/198.26 ! [V_c,V_b,V_a,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_inf__sup__aci_I6_J,axiom,
% 197.65/198.26 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => 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)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__assoc,axiom,
% 197.65/198.26 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_elem__set,axiom,
% 197.65/198.26 ! [V_xo_2,V_x_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Option_Oset(T_a,V_xo_2)))
% 197.65/198.26 <=> V_xo_2 = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__supE,axiom,
% 197.65/198.26 ! [V_x,V_b,V_a,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( 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))
% 197.65/198.26 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.65/198.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__mono,axiom,
% 197.65/198.26 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.65/198.26 => 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))) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__least,axiom,
% 197.65/198.26 ! [V_z,V_x,V_y,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 197.65/198.26 => 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)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__supI,axiom,
% 197.65/198.26 ! [V_b,V_x,V_a,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.65/198.26 => 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)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__absorb1,axiom,
% 197.65/198.26 ! [V_x,V_y,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__absorb2,axiom,
% 197.65/198.26 ! [V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__supI2,axiom,
% 197.65/198.26 ! [V_a,V_b,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.65/198.26 => 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))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__supI1,axiom,
% 197.65/198.26 ! [V_b,V_a,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.65/198.26 => 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))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__sup__iff,axiom,
% 197.65/198.26 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)),V_z_2))
% 197.65/198.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 197.65/198.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_le__iff__sup,axiom,
% 197.65/198.26 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.26 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__ge2,axiom,
% 197.65/198.26 ! [V_x,V_y,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_inf__sup__ord_I4_J,axiom,
% 197.65/198.26 ! [V_x,V_y,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => 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))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__ge1,axiom,
% 197.65/198.26 ! [V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.26 => 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))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_inf__sup__ord_I3_J,axiom,
% 197.65/198.26 ! [V_y,V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => 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))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__eq__bot__iff,axiom,
% 197.65/198.26 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.26 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.65/198.26 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_a)
% 197.65/198.26 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_a)
% 197.65/198.26 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_sup__bot__right,axiom,
% 197.65/198.26 ! [V_x,T_a] :
% 197.65/198.26 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.65/198.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one_Oclosed,axiom,
% 197.65/198.26 ! [V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_Fa_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.65/198.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/198.26 => hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_B_2)),hAPP(V_Fa_2,V_A_2)) = hAPP(V_Fa_2,V_A_2) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_finite__subset__induct,axiom,
% 197.65/198.26 ! [V_P_2,V_A_2,V_Fa_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_Fa_2),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 197.65/198.26 => ( ! [B_a,B_F] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 197.65/198.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_F))
% 197.65/198.26 => ( hBOOL(hAPP(V_P_2,B_F))
% 197.65/198.26 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_F))) ) ) ) )
% 197.65/198.26 => hBOOL(hAPP(V_P_2,V_Fa_2)) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,V_A_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_escape,axiom,
% 197.65/198.26 ! [V_Q_2,V_c_2,V_G_2,T_a,V_P_2] :
% 197.65/198.26 ( ! [B_Z,B_s] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),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_a),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) )
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 197.65/198.26 ! [V_a2_2,V_a1_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_hoare__derivs_OSkip,axiom,
% 197.65/198.26 ! [V_P_2,V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_the__elem__def,axiom,
% 197.65/198.26 ! [V_X_2,T_a] : c_Set_Othe__elem(T_a,V_X_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_conseq1,axiom,
% 197.65/198.26 ! [V_P_2,V_Q_2,V_c_2,V_P_H_2,V_G_2,T_a] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_H_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.26 => ( ! [B_Z,B_s] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 197.65/198.26 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_conseq2,axiom,
% 197.65/198.26 ! [V_Q_2,V_Q_H_2,V_c_2,V_P_2,V_G_2,T_a] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.26 => ( ! [B_Z,B_s] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 197.65/198.26 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one__idem_Oidem,axiom,
% 197.65/198.26 ! [V_x_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I18_J,axiom,
% 197.65/198.26 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I19_J,axiom,
% 197.65/198.26 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WT_Oequations_I1_J,axiom,
% 197.65/198.26 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WT_OSkip,axiom,
% 197.65/198.26 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one__idem_Oin__idem,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,V_A_2)) = hAPP(V_Fa_2,V_A_2) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 197.65/198.26 ! [V_N_2,V_h_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( ! [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))
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.65/198.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => hAPP(V_h_2,hAPP(V_Fa_2,V_N_2)) = hAPP(V_Fa_2,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Comp,axiom,
% 197.65/198.26 ! [V_R_2,V_d_2,V_Q_2,V_c_2,V_P_2,V_G_2,T_a] :
% 197.65/198.26 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.26 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 197.65/198.26 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_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_a),tc_HOL_Obool)))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple_Oinsert,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/198.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_the__eq__trivial,axiom,
% 197.65/198.26 ! [V_a_2,T_a] : c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 197.65/198.26
% 197.65/198.26 fof(fact_the__sym__eq__trivial,axiom,
% 197.65/198.26 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 197.65/198.26
% 197.65/198.26 fof(fact_LoopF,axiom,
% 197.65/198.26 ! [V_c_2,V_b_2,V_P_2,V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_P_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_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one_Oremove,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => hAPP(V_Fa_2,V_A_2) = V_x_2 )
% 197.65/198.26 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => hAPP(V_Fa_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_option_Orecs_I2_J,axiom,
% 197.65/198.26 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_option_Osimps_I5_J,axiom,
% 197.65/198.26 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/198.26 => hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_B_2)),hAPP(V_Fa_2,V_A_2)) = hAPP(V_Fa_2,V_A_2) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_DiffE,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.26 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_DiffI,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_finite__Diff,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WTs__elim__cases_I6_J,axiom,
% 197.65/198.26 ! [V_c_2,V_b_2] :
% 197.65/198.26 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_c_2)))
% 197.65/198.26 => hBOOL(hAPP(c_Com_OWT,V_c_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WTs__elim__cases_I4_J,axiom,
% 197.65/198.26 ! [V_c2,V_c1] :
% 197.65/198.26 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c1,V_c2)))
% 197.65/198.26 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 197.65/198.26 => ~ hBOOL(hAPP(c_Com_OWT,V_c2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I5_J,axiom,
% 197.65/198.26 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 197.65/198.26 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 197.65/198.26 <=> ( V_fun_2 = V_fun_H_2
% 197.65/198.26 & V_com_2 = V_com_H_2 ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I3_J,axiom,
% 197.65/198.26 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 197.65/198.26 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 197.65/198.26 <=> ( V_com1_2 = V_com1_H_2
% 197.65/198.26 & V_com2_2 = V_com2_H_2 ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I47_J,axiom,
% 197.65/198.26 ! [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) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I46_J,axiom,
% 197.65/198.26 ! [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) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__idemp,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_minus__apply,axiom,
% 197.65/198.26 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 197.65/198.26 ( class_Groups_Ominus(T_a)
% 197.65/198.26 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_fun__diff__def,axiom,
% 197.65/198.26 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 197.65/198.26 ( class_Groups_Ominus(T_a)
% 197.65/198.26 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 197.65/198.26 ! [V_x_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_DiffD2,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.26 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_DiffD1,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__iff,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.26 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.26 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__cancel,axiom,
% 197.65/198.26 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__empty,axiom,
% 197.65/198.26 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 197.65/198.26
% 197.65/198.26 fof(fact_empty__Diff,axiom,
% 197.65/198.26 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_finite__Diff2,axiom,
% 197.65/198.26 ! [V_A_2,V_B_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/198.26 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_double__diff,axiom,
% 197.65/198.26 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/198.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__mono,axiom,
% 197.65/198.26 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_D_2),V_B_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__subset,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Un__Diff,axiom,
% 197.65/198.26 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Un__Diff__cancel2,axiom,
% 197.65/198.26 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Un__Diff__cancel,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I58_J,axiom,
% 197.65/198.26 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I59_J,axiom,
% 197.65/198.26 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WT_Oequations_I6_J,axiom,
% 197.65/198.26 ! [V_a1_2,V_a2_2] :
% 197.65/198.26 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_a2_2,V_a1_2)))
% 197.65/198.26 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_While,axiom,
% 197.65/198.26 ! [V_b_2,V_c_2] :
% 197.65/198.26 ( hBOOL(hAPP(c_Com_OWT,V_c_2))
% 197.65/198.26 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_c_2))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I17_J,axiom,
% 197.65/198.26 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I16_J,axiom,
% 197.65/198.26 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I48_J,axiom,
% 197.65/198.26 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I49_J,axiom,
% 197.65/198.26 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WT_Oequations_I4_J,axiom,
% 197.65/198.26 ! [V_a2_2,V_a1_2] :
% 197.65/198.26 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_a1_2,V_a2_2)))
% 197.65/198.26 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 197.65/198.26 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_WT_OSemi,axiom,
% 197.65/198.26 ! [V_c1,V_c0] :
% 197.65/198.26 ( hBOOL(hAPP(c_Com_OWT,V_c0))
% 197.65/198.26 => ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 197.65/198.26 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c0,V_c1))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I13_J,axiom,
% 197.65/198.26 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 197.65/198.26
% 197.65/198.26 fof(fact_com_Osimps_I12_J,axiom,
% 197.65/198.26 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_insert__Diff1,axiom,
% 197.65/198.26 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 197.65/198.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_insert__Diff__if,axiom,
% 197.65/198.26 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 197.65/198.26 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 197.65/198.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) )
% 197.65/198.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 197.65/198.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_insert__Diff__single,axiom,
% 197.65/198.26 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__insert2,axiom,
% 197.65/198.26 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__insert,axiom,
% 197.65/198.26 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_finite__Diff__insert,axiom,
% 197.65/198.26 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))))
% 197.65/198.26 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_image__diff__subset,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__subset__conv,axiom,
% 197.65/198.26 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 197.65/198.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__partition,axiom,
% 197.65/198.26 ! [V_B_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.26 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple_Oempty,axiom,
% 197.65/198.26 ! [V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => hAPP(V_Fa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple_Oremove,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/198.26 => hAPP(V_Fa_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_insert__Diff,axiom,
% 197.65/198.26 ! [V_A_2,V_a_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.65/198.26 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Diff__insert__absorb,axiom,
% 197.65/198.26 ! [V_A_2,V_x_2,T_a] :
% 197.65/198.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_diff__single__insert,axiom,
% 197.65/198.26 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_subset__insert__iff,axiom,
% 197.65/198.26 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 197.65/198.26 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 197.65/198.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__one_Oinsert__remove,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 197.65/198.26 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/198.26 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2)) = hAPP(V_Fa_2,V_A_2) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.26 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/198.26 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_flat__lub__def,axiom,
% 197.65/198.26 ! [V_b_2,V_A_2,T_a] :
% 197.65/198.26 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 197.65/198.26 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = V_b_2 )
% 197.65/198.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 197.65/198.26 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_diff__eq__diff__less__eq,axiom,
% 197.65/198.26 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.65/198.26 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.65/198.26 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 197.65/198.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c_2),V_d_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_finite__empty__induct,axiom,
% 197.65/198.26 ! [V_P_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 197.65/198.26 => ( ! [B_a,B_A] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A))
% 197.65/198.26 => ( hBOOL(hAPP(V_P_2,B_A))
% 197.65/198.26 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_a),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) )
% 197.65/198.26 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_fun__left__comm__idem__remove,axiom,
% 197.65/198.26 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_psubset__insert__iff,axiom,
% 197.65/198.26 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 197.65/198.26 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 197.65/198.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 197.65/198.26 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 197.65/198.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_finite__induct,axiom,
% 197.65/198.26 ! [V_P_2,V_Fa_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.65/198.26 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 197.65/198.26 => ( ! [B_x,B_F] :
% 197.65/198.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 197.65/198.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_F))
% 197.65/198.26 => ( hBOOL(hAPP(V_P_2,B_F))
% 197.65/198.26 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_x),B_F))) ) ) )
% 197.65/198.26 => hBOOL(hAPP(V_P_2,V_Fa_2)) ) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 197.65/198.26 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 197.65/198.26 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2)
% 197.65/198.26 => c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 197.65/198.26
% 197.65/198.26 fof(fact_Sup__fin_Oremove,axiom,
% 197.65/198.26 ! [V_x_2,V_A_2,T_a] :
% 197.65/198.26 ( class_Lattices_Olattice(T_a)
% 197.65/198.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.65/198.26 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.26 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.26 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = V_x_2 )
% 197.65/198.26 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.65/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_Diff1__fold__graph,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 197.65/198.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_y_2))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.27 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_image__ident,axiom,
% 197.65/198.27 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__image,axiom,
% 197.65/198.27 ! [V_y_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 197.65/198.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.27 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) )
% 197.65/198.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.65/198.27 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__triv,axiom,
% 197.65/198.27 ! [V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 197.65/198.27 ! [V_z_2,V_x_2,V_f_2,T_b,T_a] :
% 197.65/198.27 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 197.65/198.27 => 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) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_psubset__trans,axiom,
% 197.65/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 197.65/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__def,axiom,
% 197.65/198.27 ! [V_b_2,V_f_2,T_b,T_a,V_a_2,V_x_2] :
% 197.65/198.27 ( ( V_x_2 = V_a_2
% 197.65/198.27 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = V_b_2 )
% 197.65/198.27 & ( V_x_2 != V_a_2
% 197.65/198.27 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__idem,axiom,
% 197.65/198.27 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] :
% 197.65/198.27 ( hAPP(V_f_2,V_x_2) = V_y_2
% 197.65/198.27 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2) = V_f_2 ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__other,axiom,
% 197.65/198.27 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 197.65/198.27 ( V_z_2 != V_x_2
% 197.65/198.27 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__twist,axiom,
% 197.65/198.27 ! [V_d_2,V_b_2,V_m_2,T_b,T_a,V_c_2,V_a_2] :
% 197.65/198.27 ( V_a_2 != V_c_2
% 197.65/198.27 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_a_2),V_b_2)),V_c_2),V_d_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_c_2),V_d_2)),V_a_2),V_b_2) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__apply,axiom,
% 197.65/198.27 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 197.65/198.27 ( ( V_z_2 = V_x_2
% 197.65/198.27 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = V_y_2 )
% 197.65/198.27 & ( V_z_2 != V_x_2
% 197.65/198.27 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__same,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2),V_x_2) = V_y_2 ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__upd,axiom,
% 197.65/198.27 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_x_2),V_z_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_z_2) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__upd__idem__iff,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 197.65/198.27 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2) = V_f_2
% 197.65/198.27 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__irrefl,axiom,
% 197.65/198.27 ! [V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__neq__iff,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( V_x_2 != V_y_2
% 197.65/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_not__less__iff__gr__or__eq,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 197.65/198.27 | V_x_2 = V_y_2 ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__less__linear,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 | V_x = V_y
% 197.65/198.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__antisym__conv3,axiom,
% 197.65/198.27 ! [V_x_2,V_y_2,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__neqE,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( V_x != V_y
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_less__imp__neq,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => V_x != V_y ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__not__sym,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__imp__not__less,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__imp__not__eq,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => V_x != V_y ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__imp__not__eq2,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => V_y != V_x ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__asym_H,axiom,
% 197.65/198.27 ! [V_b,V_a,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I9_J,axiom,
% 197.65/198.27 ! [V_a,V_b,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.65/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_ord__eq__less__trans,axiom,
% 197.65/198.27 ! [V_c,V_b,V_a,T_a] :
% 197.65/198.27 ( class_Orderings_Oord(T_a)
% 197.65/198.27 => ( V_a = V_b
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I1_J,axiom,
% 197.65/198.27 ! [V_c,V_b,V_a,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( V_a = V_b
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_ord__less__eq__trans,axiom,
% 197.65/198.27 ! [V_c,V_b,V_a,T_a] :
% 197.65/198.27 ( class_Orderings_Oord(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/198.27 => ( V_b = V_c
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I2_J,axiom,
% 197.65/198.27 ! [V_c,V_a,V_b,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.65/198.27 => ( V_b = V_c
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__trans,axiom,
% 197.65/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I10_J,axiom,
% 197.65/198.27 ! [V_z,V_x,V_y,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__asym,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__cases,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => ( V_x != V_y
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_diff__eq__diff__less,axiom,
% 197.65/198.27 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.65/198.27 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.65/198.27 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 197.65/198.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_d_2)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 197.65/198.27 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 197.65/198.27 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 197.65/198.27 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 197.65/198.27 ! [V_a2_2,V_a1_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 197.65/198.27 ! [V_z_2,V_f_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_less__fun__def,axiom,
% 197.65/198.27 ! [V_g_2,V_f_2,T_a,T_b] :
% 197.65/198.27 ( class_Orderings_Oord(T_b)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 197.65/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 197.65/198.27 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_g_2),V_f_2)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__not__less,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__not__le,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__le__less__linear,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__le,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.27 & V_x_2 != V_y_2 ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_less__le__not__le,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.27 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__le__less,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 | V_x_2 = V_y_2 ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_leI,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_not__leE,axiom,
% 197.65/198.27 ! [V_x,V_y,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__antisym__conv1,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__neq__le__trans,axiom,
% 197.65/198.27 ! [V_b,V_a,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( V_a != V_b
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I12_J,axiom,
% 197.65/198.27 ! [V_b,V_a,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( V_a != V_b
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_leD,axiom,
% 197.65/198.27 ! [V_x,V_y,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__imp__le,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_linorder__antisym__conv2,axiom,
% 197.65/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.65/198.27 ( class_Orderings_Olinorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.65/198.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 197.65/198.27 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__le__imp__less__or__eq,axiom,
% 197.65/198.27 ! [V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 | V_x = V_y ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__le__neq__trans,axiom,
% 197.65/198.27 ! [V_b,V_a,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/198.27 => ( V_a != V_b
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I11_J,axiom,
% 197.65/198.27 ! [V_a,V_b,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/198.27 => ( V_a != V_b
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__less__le__trans,axiom,
% 197.65/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I7_J,axiom,
% 197.65/198.27 ! [V_z,V_x,V_y,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_order__le__less__trans,axiom,
% 197.65/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.65/198.27 ( class_Orderings_Opreorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_xt1_I8_J,axiom,
% 197.65/198.27 ! [V_z,V_x,V_y,T_a] :
% 197.65/198.27 ( class_Orderings_Oorder(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_psubsetD,axiom,
% 197.65/198.27 ! [V_c_2,V_B_2,V_A_2,T_a] :
% 197.65/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.65/198.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_not__psubset__empty,axiom,
% 197.65/198.27 ! [V_A_2,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_less__supI2,axiom,
% 197.65/198.27 ! [V_a,V_b,V_x,T_a] :
% 197.65/198.27 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 197.65/198.27 => 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))) ) ) ).
% 197.65/198.27
% 197.65/198.27 fof(fact_less__supI1,axiom,
% 197.65/198.27 ! [V_b,V_a,V_x,T_a] :
% 197.65/198.27 ( class_Lattices_Osemilattice__sup(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 197.84/198.27 => 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))) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_psubset__eq,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 & V_A_2 != V_B_2 ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_subset__iff__psubset__eq,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 | V_A_2 = V_B_2 ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_psubset__imp__subset,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_psubset__subset__trans,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_subset__psubset__trans,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_map__upd__Some__unfold,axiom,
% 197.84/198.27 ! [V_y_2,V_x_2,V_b_2,V_a_2,V_m_2,T_a,T_b] :
% 197.84/198.27 ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 197.84/198.27 <=> ( ( V_x_2 = V_a_2
% 197.84/198.27 & V_b_2 = V_y_2 )
% 197.84/198.27 | ( V_x_2 != V_a_2
% 197.84/198.27 & hAPP(V_m_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_map__upd__triv,axiom,
% 197.84/198.27 ! [T_b,V_x_2,T_a,V_k_2,V_t_2] :
% 197.84/198.27 ( hAPP(V_t_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 197.84/198.27 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = V_t_2 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_map__upd__eqD1,axiom,
% 197.84/198.27 ! [V_y_2,V_n_2,V_x_2,V_a_2,V_m_2,T_b,T_a] :
% 197.84/198.27 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_n_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))
% 197.84/198.27 => V_x_2 = V_y_2 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 197.84/198.27 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__graph_OemptyI,axiom,
% 197.84/198.27 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_empty__fold__graphE,axiom,
% 197.84/198.27 ! [V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2))
% 197.84/198.27 => V_x_2 = V_z_2 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__graph__imp__finite,axiom,
% 197.84/198.27 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 197.84/198.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Osingleton,axiom,
% 197.84/198.27 ! [V_x_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fun__left__comm__idem__insert,axiom,
% 197.84/198.27 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fun__left__comm__idem__sup,axiom,
% 197.84/198.27 ! [T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__sup(T_a)
% 197.84/198.27 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_image__map__upd,axiom,
% 197.84/198.27 ! [V_y_2,V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 197.84/198.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.27 => hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))),V_A_2) = hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),V_m_2),V_A_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Oin__idem,axiom,
% 197.84/198.27 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__graph_OinsertI,axiom,
% 197.84/198.27 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 197.84/198.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 197.84/198.27 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 197.84/198.27 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Osubset__idem,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Ounion__idem,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_diff__eq__diff__eq,axiom,
% 197.84/198.27 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.84/198.27 ( class_Groups_Oab__group__add(T_a)
% 197.84/198.27 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)
% 197.84/198.27 => ( V_a_2 = V_b_2
% 197.84/198.27 <=> V_c_2 = V_d_2 ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Oidem,axiom,
% 197.84/198.27 ! [V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Oinsert,axiom,
% 197.84/198.27 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 197.84/198.27 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 197.84/198.27 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold1Set_Ointros,axiom,
% 197.84/198.27 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,V_a_2,V_A_2),V_x_2))
% 197.84/198.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Oclosed,axiom,
% 197.84/198.27 ! [V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 197.84/198.27 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] :
% 197.84/198.27 ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 197.84/198.27 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 197.84/198.27 | ? [B_x,B_y] :
% 197.84/198.27 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 197.84/198.27 & hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a2_2))
% 197.84/198.27 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Ohom__commute,axiom,
% 197.84/198.27 ! [V_N_2,V_h_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.84/198.27 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_image__eq__fold__image,axiom,
% 197.84/198.27 ! [V_f_2,T_b,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_b,tc_HOL_Obool),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_setsum__diff1,axiom,
% 197.84/198.27 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 197.84/198.27 ( class_Groups_Oab__group__add(T_b)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 197.84/198.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_setsum__diff1__ring,axiom,
% 197.84/198.27 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 197.84/198.27 ( class_Rings_Oring(T_b)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__graph__permute__diff,axiom,
% 197.84/198.27 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_a] :
% 197.84/198.27 ( class_Groups_Oab__semigroup__mult(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_x_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 197.84/198.27 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.27 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Sup__fin_Ounion__inter,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf1E,axiom,
% 197.84/198.27 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.84/198.27 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 197.84/198.27 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf1I,axiom,
% 197.84/198.27 ! [T_a,V_B_2,V_x_2,V_A_2] :
% 197.84/198.27 ( hBOOL(hAPP(V_A_2,V_x_2))
% 197.84/198.27 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 197.84/198.27 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_IntE,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.84/198.27 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.84/198.27 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_IntI,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_finite__Int,axiom,
% 197.84/198.27 ! [V_G_2,V_Fa_2,T_a] :
% 197.84/198.27 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.84/198.27 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2)) )
% 197.84/198.27 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_Fa_2),V_G_2))) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_setsum__product,axiom,
% 197.84/198.27 ! [V_B_2,V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 197.84/198.27 ( class_Rings_Osemiring__0(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_setsum__left__distrib,axiom,
% 197.84/198.27 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 197.84/198.27 ( class_Rings_Osemiring__0(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 197.84/198.27 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.27 ( class_Groups_Oab__semigroup__mult(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_setsum__right__distrib,axiom,
% 197.84/198.27 ! [V_A_2,V_f_2,T_b,V_r_2,T_a] :
% 197.84/198.27 ( class_Rings_Osemiring__0(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2)),V_f_2)),V_A_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Inf__fin_Oidem,axiom,
% 197.84/198.27 ! [V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf1D2,axiom,
% 197.84/198.27 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.84/198.27 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf1D1,axiom,
% 197.84/198.27 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.84/198.27 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__assoc,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__left__commute,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__left__absorb,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__commute,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__absorb,axiom,
% 197.84/198.27 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__apply,axiom,
% 197.84/198.27 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__assoc,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__aci_I2_J,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf_Oassoc,axiom,
% 197.84/198.27 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__left__commute,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__aci_I3_J,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf_Oleft__commute,axiom,
% 197.84/198.27 ! [V_c,V_a,V_b,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__left__idem,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__aci_I4_J,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf_Oleft__idem,axiom,
% 197.84/198.27 ! [V_b,V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_mult__left__idem,axiom,
% 197.84/198.27 ! [V_b,V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__commute,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__aci_I1_J,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf_Ocommute,axiom,
% 197.84/198.27 ! [V_b,V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__fun__def,axiom,
% 197.84/198.27 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__idem,axiom,
% 197.84/198.27 ! [V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf_Oidem,axiom,
% 197.84/198.27 ! [V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_mult__idem,axiom,
% 197.84/198.27 ! [V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_times_Oidem,axiom,
% 197.84/198.27 ! [V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_setsum__commute,axiom,
% 197.84/198.27 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 197.84/198.27 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_a),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))),V_A_2)),V_B_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_le__infE,axiom,
% 197.84/198.27 ! [V_b,V_a,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( 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)))
% 197.84/198.27 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.84/198.27 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__mono,axiom,
% 197.84/198.27 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.84/198.27 => 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))) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__greatest,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 197.84/198.27 => 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))) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_le__infI,axiom,
% 197.84/198.27 ! [V_b,V_a,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.84/198.27 => 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))) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__absorb2,axiom,
% 197.84/198.27 ! [V_x,V_y,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__absorb1,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_le__infI2,axiom,
% 197.84/198.27 ! [V_a,V_x,V_b,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.84/198.27 => 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)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_le__infI1,axiom,
% 197.84/198.27 ! [V_b,V_x,V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.84/198.27 => 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)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_le__inf__iff,axiom,
% 197.84/198.27 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2)))
% 197.84/198.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.84/198.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_le__iff__inf,axiom,
% 197.84/198.27 ! [V_y_2,V_x_2,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.84/198.27 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__le2,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__ord_I2_J,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__le1,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__ord_I1_J,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_less__infI2,axiom,
% 197.84/198.27 ! [V_a,V_x,V_b,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 197.84/198.27 => 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)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_less__infI1,axiom,
% 197.84/198.27 ! [V_b,V_x,V_a,T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 197.84/198.27 => 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)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__bot__right,axiom,
% 197.84/198.27 ! [V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__bot__left,axiom,
% 197.84/198.27 ! [V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.84/198.27 => 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) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__absorb,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_sup__inf__absorb,axiom,
% 197.84/198.27 ! [V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__distrib1,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Odistrib__lattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_sup__inf__distrib1,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Odistrib__lattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__sup__distrib2,axiom,
% 197.84/198.27 ! [V_x,V_z,V_y,T_a] :
% 197.84/198.27 ( class_Lattices_Odistrib__lattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_sup__inf__distrib2,axiom,
% 197.84/198.27 ! [V_x,V_z,V_y,T_a] :
% 197.84/198.27 ( class_Lattices_Odistrib__lattice(T_a)
% 197.84/198.27 => 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)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_IntD2,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_IntD1,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__iff,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_c_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.84/198.27 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.84/198.27 & hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_disjoint__iff__not__equal,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.27 <=> ! [B_x] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.84/198.27 => ! [B_xa] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))
% 197.84/198.27 => B_x != B_xa ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__empty__right,axiom,
% 197.84/198.27 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__empty__left,axiom,
% 197.84/198.27 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_insert__inter__insert,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__mono,axiom,
% 197.84/198.27 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__greatest,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_C_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))
% 197.84/198.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2))
% 197.84/198.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__absorb1,axiom,
% 197.84/198.27 ! [V_A_2,V_B_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__absorb2,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__lower2,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__lower1,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Un__Int__crazy,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Un__Int__distrib2,axiom,
% 197.84/198.27 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__Un__distrib2,axiom,
% 197.84/198.27 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Un__Int__distrib,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__Un__distrib,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Diff__Int2,axiom,
% 197.84/198.27 ! [V_B_2,V_C_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Diff__Int__distrib2,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__Diff,axiom,
% 197.84/198.27 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Diff__Int__distrib,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_C_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__image__empty,axiom,
% 197.84/198.27 ! [V_z_2,V_g_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 197.84/198.27
% 197.84/198.27 fof(fact_setsum__subtractf,axiom,
% 197.84/198.27 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 197.84/198.27 ( class_Groups_Oab__group__add(T_a)
% 197.84/198.27 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fun__left__comm__idem__inf,axiom,
% 197.84/198.27 ! [T_a] :
% 197.84/198.27 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.27 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fun__left__comm__idem,axiom,
% 197.84/198.27 ! [T_a] :
% 197.84/198.27 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.84/198.27 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_inf__Int__eq,axiom,
% 197.84/198.27 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 197.84/198.27 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_fold__image__insert,axiom,
% 197.84/198.27 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_a,T_b] :
% 197.84/198.27 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.84/198.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_distrib__inf__le,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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)))) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_distrib__sup__le,axiom,
% 197.84/198.27 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.27 ( class_Lattices_Olattice(T_a)
% 197.84/198.27 => 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)))) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__insert__left__if1,axiom,
% 197.84/198.27 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__insert__right__if1,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 197.84/198.27 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__insert__left__if0,axiom,
% 197.84/198.27 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 197.84/198.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__insert__right__if0,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 197.84/198.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__insert__left,axiom,
% 197.84/198.27 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 197.84/198.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 197.84/198.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Int__insert__right,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 197.84/198.27 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 197.84/198.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.27 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_image__Int__subset,axiom,
% 197.84/198.27 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)))) ).
% 197.84/198.27
% 197.84/198.27 fof(fact_Diff__disjoint,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Diff__triv,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Un__Int__assoc__eq,axiom,
% 197.84/198.28 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold1Set__nonempty,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,V_f_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),V_x_2))
% 197.84/198.28 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_empty__fold1SetE,axiom,
% 197.84/198.28 ! [V_x_2,V_f_2,T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Un__Diff__Int,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Diff__Un,axiom,
% 197.84/198.28 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Diff__Int,axiom,
% 197.84/198.28 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 197.84/198.28 ! [V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.28 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.84/198.28 => hAPP(V_Fa_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__diff__nat,axiom,
% 197.84/198.28 ! [V_f_2,V_A_2,V_B_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_inf__Sup__absorb,axiom,
% 197.84/198.28 ! [V_a_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold__graph__insert__swap,axiom,
% 197.84/198.28 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_a] :
% 197.84/198.28 ( class_Groups_Oab__semigroup__mult(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_y_2))
% 197.84/198.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 197.84/198.28 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2),V_y_2))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.28 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.84/198.28 => hAPP(hAPP(V_f_2,hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__diff1__nat,axiom,
% 197.84/198.28 ! [V_f_2,V_A_2,V_a_2,T_a] :
% 197.84/198.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 197.84/198.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__diff,axiom,
% 197.84/198.28 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Oab__group__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold1Set__sing,axiom,
% 197.84/198.28 ! [V_b_2,V_a_2,V_f_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_b_2))
% 197.84/198.28 <=> V_a_2 = V_b_2 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.28 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.84/198.28 => hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_folding__one_Ounion__disjoint,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.84/198.28 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_folding__one_Ounion__inter,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.84/198.28 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(hAPP(V_f_2,hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__monoid__big_OF__eq,axiom,
% 197.84/198.28 ! [V_g_2,V_A_2,V_Fa_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.28 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_Fa_2)
% 197.84/198.28 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.84/198.28 => hAPP(hAPP(V_Fa_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) )
% 197.84/198.28 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.84/198.28 => hAPP(hAPP(V_Fa_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Oremove,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = V_x_2 )
% 197.84/198.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fun__upd__restrict__conv,axiom,
% 197.84/198.28 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 197.84/198.28 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__fun__upd,axiom,
% 197.84/198.28 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 197.84/198.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 197.84/198.28 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) )
% 197.84/198.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 197.84/198.28 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold__Un__disjoint,axiom,
% 197.84/198.28 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__strict__mono,axiom,
% 197.84/198.28 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 & class_Groups_Oordered__cancel__ab__semigroup__add(T_b) )
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( ! [B_x] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2))) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum_Oremove,axiom,
% 197.84/198.28 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__diff1_H,axiom,
% 197.84/198.28 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Ounion__inter,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_one__reorient,axiom,
% 197.84/198.28 ! [V_x_2,T_a] :
% 197.84/198.28 ( class_Groups_Oone(T_a)
% 197.84/198.28 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 197.84/198.28 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oab__semigroup__add(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__left__cancel,axiom,
% 197.84/198.28 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Groups_Ocancel__semigroup__add(T_a)
% 197.84/198.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2)
% 197.84/198.28 <=> V_b_2 = V_c_2 ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__right__cancel,axiom,
% 197.84/198.28 ! [V_c_2,V_a_2,V_b_2,T_a] :
% 197.84/198.28 ( class_Groups_Ocancel__semigroup__add(T_a)
% 197.84/198.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2)
% 197.84/198.28 <=> V_b_2 = V_c_2 ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__left__imp__eq,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Ocancel__semigroup__add(T_a)
% 197.84/198.28 => ( 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)
% 197.84/198.28 => V_b = V_c ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__imp__eq,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 197.84/198.28 => ( 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)
% 197.84/198.28 => V_b = V_c ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__right__imp__eq,axiom,
% 197.84/198.28 ! [V_c,V_a,V_b,T_a] :
% 197.84/198.28 ( class_Groups_Ocancel__semigroup__add(T_a)
% 197.84/198.28 => ( 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)
% 197.84/198.28 => V_b = V_c ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__le__cancel__right,axiom,
% 197.84/198.28 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__le__cancel__left,axiom,
% 197.84/198.28 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__right__mono,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__left__mono,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__mono,axiom,
% 197.84/198.28 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.84/198.28 => 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))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__le__imp__le__right,axiom,
% 197.84/198.28 ! [V_b,V_c,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( 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)))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__le__imp__le__left,axiom,
% 197.84/198.28 ! [V_b,V_a,V_c,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( 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)))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__less__imp__less__left,axiom,
% 197.84/198.28 ! [V_b,V_a,V_c,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( 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)))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__less__imp__less__right,axiom,
% 197.84/198.28 ! [V_b,V_c,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( 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)))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__strict__mono,axiom,
% 197.84/198.28 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.84/198.28 => 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))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__strict__left__mono,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__strict__right__mono,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__less__cancel__left,axiom,
% 197.84/198.28 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__less__cancel__right,axiom,
% 197.84/198.28 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__diff__cancel,axiom,
% 197.84/198.28 ! [V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.28 => 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 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__add__cancel,axiom,
% 197.84/198.28 ! [V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.28 => 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 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_mult__1__left,axiom,
% 197.84/198.28 ! [V_a,T_a] :
% 197.84/198.28 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_mult__1,axiom,
% 197.84/198.28 ! [V_a,T_a] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_mult__1__right,axiom,
% 197.84/198.28 ! [V_a,T_a] :
% 197.84/198.28 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_mult_Ocomm__neutral,axiom,
% 197.84/198.28 ! [V_a,T_a] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__in,axiom,
% 197.84/198.28 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__restrict,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_B_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__addf,axiom,
% 197.84/198.28 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__less__le__mono,axiom,
% 197.84/198.28 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.84/198.28 => 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))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__le__less__mono,axiom,
% 197.84/198.28 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.84/198.28 => 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))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Osingleton,axiom,
% 197.84/198.28 ! [V_x_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum_Odistrib,axiom,
% 197.84/198.28 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Oplus__class_Oplus(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__map__insert,axiom,
% 197.84/198.28 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_f_2,V_A_2)),V_a_2),hAPP(V_f_2,V_a_2)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_dom__restrict,axiom,
% 197.84/198.28 ! [V_A_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m_2)),V_A_2) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__Un__nat,axiom,
% 197.84/198.28 ! [V_f_2,V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_sup__Inf__absorb,axiom,
% 197.84/198.28 ! [V_a_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Oin__idem,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold__image__distrib,axiom,
% 197.84/198.28 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_b)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum_Oinsert,axiom,
% 197.84/198.28 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__insert,axiom,
% 197.84/198.28 ! [V_f_2,V_a_2,V_Fa_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.84/198.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_Fa_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_Fa_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_Fa_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__Un__Int,axiom,
% 197.84/198.28 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Osubset__idem,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 197.84/198.28 ! [V_g_2,V_A_2,V_Fa_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.28 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_Fa_2)
% 197.84/198.28 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.84/198.28 => hAPP(hAPP(V_Fa_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Ounion__idem,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__le__Sup,axiom,
% 197.84/198.28 ! [V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum_Oinsert__remove,axiom,
% 197.84/198.28 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__Un__disjoint,axiom,
% 197.84/198.28 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_setsum__Un,axiom,
% 197.84/198.28 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Oab__group__add(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fun__upd__restrict,axiom,
% 197.84/198.28 ! [V_y_2,V_x_2,V_D_2,V_m_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold__image__Un__Int,axiom,
% 197.84/198.28 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Oinsert,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 197.84/198.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__add__iff2,axiom,
% 197.84/198.28 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.28 => ( 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_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__add__iff1,axiom,
% 197.84/198.28 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.28 => ( 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_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 197.84/198.28 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__add__iff2,axiom,
% 197.84/198.28 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.28 => ( 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_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__add__iff1,axiom,
% 197.84/198.28 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.28 => ( 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_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 197.84/198.28 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 197.84/198.28 ! [V_m,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 197.84/198.28 ! [V_a,V_m,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 197.84/198.28 ! [V_m,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_eq__add__iff1,axiom,
% 197.84/198.28 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Rings_Oring(T_a)
% 197.84/198.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 197.84/198.28 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_eq__add__iff2,axiom,
% 197.84/198.28 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Rings_Oring(T_a)
% 197.84/198.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 197.84/198.28 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_linorder__neqE__linordered__idom,axiom,
% 197.84/198.28 ! [V_y,V_x,T_a] :
% 197.84/198.28 ( class_Rings_Olinordered__idom(T_a)
% 197.84/198.28 => ( V_x != V_y
% 197.84/198.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 197.84/198.28 ! [V_c,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 197.84/198.28 ! [V_d,V_c,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 197.84/198.28 ! [V_d,V_c,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 197.84/198.28 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 197.84/198.28 ! [V_b,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 197.84/198.28 ! [V_ry,V_rx,V_lx,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 197.84/198.28 ! [V_ry,V_rx,V_lx,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 197.84/198.28 ! [V_rx,V_ly,V_lx,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 197.84/198.28 ! [V_rx,V_ly,V_lx,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 197.84/198.28 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 197.84/198.28 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 197.84/198.28 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 197.84/198.28 ! [V_z,V_y,V_x,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_crossproduct__noteq,axiom,
% 197.84/198.28 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.84/198.28 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 197.84/198.28 => ( ( V_a_2 != V_b_2
% 197.84/198.28 & V_c_2 != V_d_2 )
% 197.84/198.28 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__class_Odistrib,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 197.84/198.28 ! [V_b,V_m,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_combine__common__factor,axiom,
% 197.84/198.28 ! [V_c,V_b,V_e,V_a,T_a] :
% 197.84/198.28 ( class_Rings_Osemiring(T_a)
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_crossproduct__eq,axiom,
% 197.84/198.28 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] :
% 197.84/198.28 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 197.84/198.28 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))
% 197.84/198.28 <=> ( V_w_2 = V_x_2
% 197.84/198.28 | V_y_2 = V_z_2 ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 197.84/198.28 ! [V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 197.84/198.28 ! [V_a,T_a] :
% 197.84/198.28 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__add__one,axiom,
% 197.84/198.28 ! [V_a,T_a] :
% 197.84/198.28 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.28 => 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)))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__1__mult,axiom,
% 197.84/198.28 ! [V_n,V_m,T_a] :
% 197.84/198.28 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 197.84/198.28 => 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))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold__image__Un__one,axiom,
% 197.84/198.28 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 197.84/198.28 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 197.84/198.28 => ( ! [B_x] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 197.84/198.28 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 197.84/198.28 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_T_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Oclosed,axiom,
% 197.84/198.28 ! [V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__add__inverse2,axiom,
% 197.84/198.28 ! [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 ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__add__inverse,axiom,
% 197.84/198.28 ! [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 ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__diff__left,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__cancel,axiom,
% 197.84/198.28 ! [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) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__cancel2,axiom,
% 197.84/198.28 ! [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) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__add__assoc2,axiom,
% 197.84/198.28 ! [V_i,V_j,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__diff__assoc2,axiom,
% 197.84/198.28 ! [V_i,V_j,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__less__le,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.28 & V_m_2 != V_n_2 ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__eq__less__or__eq,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.28 | V_m_2 = V_n_2 ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__imp__le__nat,axiom,
% 197.84/198.28 ! [V_n,V_m] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__neq__implies__less,axiom,
% 197.84/198.28 ! [V_n,V_m] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => ( V_m != V_n
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__or__eq__imp__le,axiom,
% 197.84/198.28 ! [V_n,V_m] :
% 197.84/198.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 | V_m = V_n )
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_mult__le__mono,axiom,
% 197.84/198.28 ! [V_l,V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_mult__le__mono2,axiom,
% 197.84/198.28 ! [V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_mult__le__mono1,axiom,
% 197.84/198.28 ! [V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__cube,axiom,
% 197.84/198.28 ! [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)))) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__square,axiom,
% 197.84/198.28 ! [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))) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__refl,axiom,
% 197.84/198.28 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__le__linear,axiom,
% 197.84/198.28 ! [V_n,V_m] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_eq__imp__le,axiom,
% 197.84/198.28 ! [V_n,V_m] :
% 197.84/198.28 ( V_m = V_n
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__trans,axiom,
% 197.84/198.28 ! [V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__antisym,axiom,
% 197.84/198.28 ! [V_n,V_m] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.84/198.28 => V_m = V_n ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__add__commute,axiom,
% 197.84/198.28 ! [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) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__add__left__commute,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__add__assoc,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__add__left__cancel,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.28 ( 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)
% 197.84/198.28 <=> V_m_2 = V_n_2 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__add__right__cancel,axiom,
% 197.84/198.28 ! [V_n_2,V_k_2,V_m_2] :
% 197.84/198.28 ( 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)
% 197.84/198.28 <=> V_m_2 = V_n_2 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__leE,axiom,
% 197.84/198.28 ! [V_n,V_k,V_m] :
% 197.84/198.28 ( 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))
% 197.84/198.28 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__leD1,axiom,
% 197.84/198.28 ! [V_n,V_k,V_m] :
% 197.84/198.28 ( 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))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__leD2,axiom,
% 197.84/198.28 ! [V_n,V_k,V_m] :
% 197.84/198.28 ( 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))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__le__mono,axiom,
% 197.84/198.28 ! [V_l,V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__le__mono1,axiom,
% 197.84/198.28 ! [V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_trans__le__add2,axiom,
% 197.84/198.28 ! [V_m,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_trans__le__add1,axiom,
% 197.84/198.28 ! [V_m,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__add__left__cancel__le,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.28 ( 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)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__iff__add,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.28 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__add1,axiom,
% 197.84/198.28 ! [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))) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__add2,axiom,
% 197.84/198.28 ! [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))) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__mult__distrib,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__mult__distrib2,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_not__add__less1,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_not__add__less2,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__add__left__cancel__less,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.28 ( 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)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_trans__less__add1,axiom,
% 197.84/198.28 ! [V_m,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_trans__less__add2,axiom,
% 197.84/198.28 ! [V_m,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__less__mono1,axiom,
% 197.84/198.28 ! [V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__less__mono,axiom,
% 197.84/198.28 ! [V_l,V_k,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__add__eq__less,axiom,
% 197.84/198.28 ! [V_n,V_m,V_l,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 197.84/198.28 => ( 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)
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__lessD1,axiom,
% 197.84/198.28 ! [V_k,V_j,V_i] :
% 197.84/198.28 ( 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))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__mult__distrib2,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__mult__distrib,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__imp__diff__less,axiom,
% 197.84/198.28 ! [V_n,V_k,V_j] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__less__mono2,axiom,
% 197.84/198.28 ! [V_l,V_n,V_m] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__diff__iff,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 197.84/198.28 => ( 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)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__less__mono,axiom,
% 197.84/198.28 ! [V_c,V_b,V_a] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 197.84/198.28 => 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__le__self,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__le__mono2,axiom,
% 197.84/198.28 ! [V_l,V_n,V_m] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__le__mono,axiom,
% 197.84/198.28 ! [V_l,V_n,V_m] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__diff__cancel,axiom,
% 197.84/198.28 ! [V_n,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 197.84/198.28 => 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 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_eq__diff__iff,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 197.84/198.28 => ( 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)
% 197.84/198.28 <=> V_m_2 = V_n_2 ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Nat_Odiff__diff__eq,axiom,
% 197.84/198.28 ! [V_n,V_m,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 197.84/198.28 => 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) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__diff__iff,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 197.84/198.28 => ( 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)))
% 197.84/198.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__commute,axiom,
% 197.84/198.28 ! [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) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__diff__conv,axiom,
% 197.84/198.28 ! [V_k_2,V_j_2,V_i_2] :
% 197.84/198.28 ( 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)))
% 197.84/198.28 <=> 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__diff__inverse,axiom,
% 197.84/198.28 ! [V_n,V_m] :
% 197.84/198.28 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.28 => 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 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__diff__right,axiom,
% 197.84/198.28 ! [V_i,V_j,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__diff__conv,axiom,
% 197.84/198.28 ! [V_i_2,V_k_2,V_j_2] :
% 197.84/198.28 ( 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))
% 197.84/198.28 <=> 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__add__diff,axiom,
% 197.84/198.28 ! [V_m,V_n,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__add__diff__inverse,axiom,
% 197.84/198.28 ! [V_m,V_n] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.84/198.28 => 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 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_add__diff__assoc,axiom,
% 197.84/198.28 ! [V_i,V_j,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__diff__conv2,axiom,
% 197.84/198.28 ! [V_i_2,V_j_2,V_k_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 197.84/198.28 => ( 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)))
% 197.84/198.28 <=> 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)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__add__diff__inverse2,axiom,
% 197.84/198.28 ! [V_m,V_n] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.84/198.28 => 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 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_le__imp__diff__is__add,axiom,
% 197.84/198.28 ! [V_k_2,V_j_2,V_i_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.84/198.28 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 197.84/198.28 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_diff__add__assoc,axiom,
% 197.84/198.28 ! [V_i,V_j,V_k] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__le__add__iff1,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 197.84/198.28 => ( 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)))
% 197.84/198.28 <=> 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)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__less__add__iff1,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 197.84/198.28 => ( 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)))
% 197.84/198.28 <=> 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)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__diff__add__eq1,axiom,
% 197.84/198.28 ! [V_n,V_m,V_u,V_i,V_j] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 197.84/198.28 => 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) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__eq__add__iff1,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 197.84/198.28 => ( 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)
% 197.84/198.28 <=> 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 ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__le__add__iff2,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.84/198.28 => ( 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)))
% 197.84/198.28 <=> 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__less__add__iff2,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.84/198.28 => ( 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)))
% 197.84/198.28 <=> 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))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__diff__add__eq2,axiom,
% 197.84/198.28 ! [V_n,V_m,V_u,V_j,V_i] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.84/198.28 => 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)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__eq__add__iff2,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.84/198.28 => ( 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)
% 197.84/198.28 <=> 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) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_termination__basic__simps_I4_J,axiom,
% 197.84/198.28 ! [V_y,V_z,V_x] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__less__cases,axiom,
% 197.84/198.28 ! [V_P_2,V_n_2,V_m_2] :
% 197.84/198.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 197.84/198.28 => ( ( V_m_2 = V_n_2
% 197.84/198.28 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 197.84/198.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 197.84/198.28 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__not__refl3,axiom,
% 197.84/198.28 ! [V_t,V_s] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 197.84/198.28 => V_s != V_t ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__not__refl2,axiom,
% 197.84/198.28 ! [V_m,V_n] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 197.84/198.28 => V_m != V_n ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__irrefl__nat,axiom,
% 197.84/198.28 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_linorder__neqE__nat,axiom,
% 197.84/198.28 ! [V_y,V_x] :
% 197.84/198.28 ( V_x != V_y
% 197.84/198.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__neq__iff,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2] :
% 197.84/198.28 ( V_m_2 != V_n_2
% 197.84/198.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_less__not__refl,axiom,
% 197.84/198.28 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__mult__commute,axiom,
% 197.84/198.28 ! [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) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__mult__assoc,axiom,
% 197.84/198.28 ! [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)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__mult__eq__1__iff,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2] :
% 197.84/198.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.84/198.28 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.84/198.28 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__mult__1__right,axiom,
% 197.84/198.28 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__1__eq__mult__iff,axiom,
% 197.84/198.28 ! [V_n_2,V_m_2] :
% 197.84/198.28 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 197.84/198.28 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.84/198.28 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_nat__mult__1,axiom,
% 197.84/198.28 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 197.84/198.28
% 197.84/198.28 fof(fact_termination__basic__simps_I2_J,axiom,
% 197.84/198.28 ! [V_y,V_z,V_x] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_termination__basic__simps_I1_J,axiom,
% 197.84/198.28 ! [V_z,V_y,V_x] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_left__add__mult__distrib,axiom,
% 197.84/198.28 ! [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) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_termination__basic__simps_I5_J,axiom,
% 197.84/198.28 ! [V_y,V_x] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_termination__basic__simps_I3_J,axiom,
% 197.84/198.28 ! [V_z,V_y,V_x] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 197.84/198.28 => 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))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_Ohom__commute,axiom,
% 197.84/198.28 ! [V_N_2,V_h_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.84/198.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fun__upd__None__restrict,axiom,
% 197.84/198.28 ! [V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 197.84/198.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 197.84/198.28 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) )
% 197.84/198.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 197.84/198.28 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_insert__fold1SetE,axiom,
% 197.84/198.28 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2)),V_x_2))
% 197.84/198.28 => ~ ! [B_a,B_A] :
% 197.84/198.28 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_x_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold1Set_Oequations,axiom,
% 197.84/198.28 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2)),V_a3_2))
% 197.84/198.28 <=> ? [B_a,B_A] :
% 197.84/198.28 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 197.84/198.28 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_a3_2))
% 197.84/198.28 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold1__Un,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( class_Groups_Oab__semigroup__mult(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__Diff__singleton,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__Diff__singleton__if,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 197.84/198.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card_Oremove,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Finite__Set_Ocard(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__Diff2__less,axiom,
% 197.84/198.28 ! [V_y_2,V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_option_Osimps_I2_J,axiom,
% 197.84/198.28 ! [V_a_H,T_a] : c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_option_Osimps_I3_J,axiom,
% 197.84/198.28 ! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_not__Some__eq,axiom,
% 197.84/198.28 ! [T_a,V_x_2] :
% 197.84/198.28 ( ! [B_y] : V_x_2 != hAPP(c_Option_Ooption_OSome(T_a),B_y)
% 197.84/198.28 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_not__None__eq,axiom,
% 197.84/198.28 ! [T_a,V_x_2] :
% 197.84/198.28 ( V_x_2 != c_Option_Ooption_ONone(T_a)
% 197.84/198.28 <=> ? [B_y] : V_x_2 = hAPP(c_Option_Ooption_OSome(T_a),B_y) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_option_Osimps_I4_J,axiom,
% 197.84/198.28 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),c_Option_Ooption_ONone(T_b)) = V_f1_2 ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__eq__setsum,axiom,
% 197.84/198.28 ! [V_A_2,T_a] : hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_empty__upd__none,axiom,
% 197.84/198.28 ! [V_xa_2,V_x_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))),V_x_2),c_Option_Ooption_ONone(T_a)),V_xa_2) = c_Option_Ooption_ONone(T_a) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__map__empty,axiom,
% 197.84/198.28 ! [V_x_2,V_D_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_D_2),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_domIff,axiom,
% 197.84/198.28 ! [V_m_2,T_b,V_a_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))
% 197.84/198.28 <=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_option_Orecs_I1_J,axiom,
% 197.84/198.28 ! [V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,c_Option_Ooption_ONone(T_b)) = V_f1_2 ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__out,axiom,
% 197.84/198.28 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 197.84/198.28 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold1__singleton,axiom,
% 197.84/198.28 ! [V_a_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold1__singleton__def,axiom,
% 197.84/198.28 ! [V_a_2,V_f_2,T_a,V_g_2] :
% 197.84/198.28 ( V_g_2 = c_Finite__Set_Ofold1(T_a,V_f_2)
% 197.84/198.28 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_dom__empty,axiom,
% 197.84/198.28 ! [T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_dom__eq__empty__conv,axiom,
% 197.84/198.28 ! [V_f_2,T_b,T_a] :
% 197.84/198.28 ( c_Map_Odom(T_a,T_b,V_f_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 <=> V_f_2 = hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__map__def,axiom,
% 197.84/198.28 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 197.84/198.28 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) )
% 197.84/198.28 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_restrict__map__to__empty,axiom,
% 197.84/198.28 ! [V_x_2,V_m_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,V_m_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_set__empty__eq,axiom,
% 197.84/198.28 ! [V_xo_2,T_a] :
% 197.84/198.28 ( c_Option_Oset(T_a,V_xo_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.28 <=> V_xo_2 = c_Option_Ooption_ONone(T_a) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Option_Oset_Osimps_I1_J,axiom,
% 197.84/198.28 ! [T_a] : c_Option_Oset(T_a,c_Option_Ooption_ONone(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_map__upd__nonempty,axiom,
% 197.84/198.28 ! [V_x_2,V_k_2,V_t_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) != hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_folding__one_Oeq__fold,axiom,
% 197.84/198.28 ! [V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.84/198.28 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => hAPP(V_Fa_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__insert__le,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__mono,axiom,
% 197.84/198.28 ! [V_A_2,V_B_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__seteq,axiom,
% 197.84/198.28 ! [V_A_2,V_B_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)))
% 197.84/198.28 => V_A_2 = V_B_2 ) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__image__le,axiom,
% 197.84/198.28 ! [V_f_2,T_b,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_psubset__card__mono,axiom,
% 197.84/198.28 ! [V_A_2,V_B_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_dom__minus,axiom,
% 197.84/198.28 ! [V_A_2,T_b,T_a,V_x_2,V_f_2] :
% 197.84/198.28 ( hAPP(V_f_2,V_x_2) = c_Option_Ooption_ONone(T_a)
% 197.84/198.28 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),V_A_2) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_WT_OBody,axiom,
% 197.84/198.28 ! [V_pn] :
% 197.84/198.28 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom)
% 197.84/198.28 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_fold1__def,axiom,
% 197.84/198.28 ! [V_A_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2)) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Sup__fin_OF__eq,axiom,
% 197.84/198.28 ! [V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_A_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_Inf__fin_OF__eq,axiom,
% 197.84/198.28 ! [V_A_2,T_a] :
% 197.84/198.28 ( class_Lattices_Olattice(T_a)
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card_Oinsert,axiom,
% 197.84/198.28 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.28 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),V_A_2)) ) ) ).
% 197.84/198.28
% 197.84/198.28 fof(fact_card__Un__Int,axiom,
% 197.84/198.28 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card_Ounion__inter,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__Diff__subset,axiom,
% 197.84/198.29 ! [V_A_2,V_B_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__Diff__subset__Int,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__card__le__card__Diff,axiom,
% 197.84/198.29 ! [V_A_2,V_B_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => 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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__psubset,axiom,
% 197.84/198.29 ! [V_A_2,V_B_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_fold1__belowI,axiom,
% 197.84/198.29 ! [V_a_2,V_A_2,T_a] :
% 197.84/198.29 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_below__fold1__iff,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( class_Lattices_Osemilattice__inf(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)))
% 197.84/198.29 <=> ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_fold1__insert__idem,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.84/198.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_fold1__Un2,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__Diff__insert,axiom,
% 197.84/198.29 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card_Oinsert__remove,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__Un__disjoint,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__Diff1__le,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_dom__fun__upd,axiom,
% 197.84/198.29 ! [V_x_2,V_f_2,T_b,T_a,V_y_2] :
% 197.84/198.29 ( ( V_y_2 = c_Option_Ooption_ONone(T_a)
% 197.84/198.29 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) )
% 197.84/198.29 & ( V_y_2 != c_Option_Ooption_ONone(T_a)
% 197.84/198.29 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_fold1__insert,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( class_Groups_Oab__semigroup__mult(T_a)
% 197.84/198.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_dom__eq__singleton__conv,axiom,
% 197.84/198.29 ! [V_x_2,V_f_2,T_b,T_a] :
% 197.84/198.29 ( c_Map_Odom(T_a,T_b,V_f_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 197.84/198.29 <=> ? [B_v] : V_f_2 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),B_v)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__Diff1__less,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_semilattice__big_OF__eq,axiom,
% 197.84/198.29 ! [V_A_2,V_Fa_2,V_f_2,T_a] :
% 197.84/198.29 ( c_Big__Operators_Osemilattice__big(T_a,V_f_2,V_Fa_2)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(V_Fa_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ran__map__upd,axiom,
% 197.84/198.29 ! [V_b_2,T_b,T_a,V_a_2,V_m_2] :
% 197.84/198.29 ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_a)
% 197.84/198.29 => c_Map_Oran(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_fold1__in,axiom,
% 197.84/198.29 ! [V_A_2,T_a] :
% 197.84/198.29 ( class_Groups_Oab__semigroup__mult(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),V_A_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_hom__fold1__commute,axiom,
% 197.84/198.29 ! [V_N_2,V_h_2,T_a] :
% 197.84/198.29 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.84/198.29 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.84/198.29 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__Suc__Diff1,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,V_Fa_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 197.84/198.29 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.84/198.29 => ( ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.84/198.29 => hAPP(V_g_2,B_x) = V_z_2 )
% 197.84/198.29 => hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_restrict__upd__same,axiom,
% 197.84/198.29 ! [V_y_2,V_x_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_restrict__complement__singleton__eq,axiom,
% 197.84/198.29 ! [V_x_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),c_Option_Ooption_ONone(T_b)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Oremove,axiom,
% 197.84/198.29 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__mono,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_lessI,axiom,
% 197.84/198.29 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ComplI,axiom,
% 197.84/198.29 ! [V_A_2,V_c_2,T_a] :
% 197.84/198.29 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__inject,axiom,
% 197.84/198.29 ! [V_y,V_x] :
% 197.84/198.29 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 197.84/198.29 => V_x = V_y ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat_Oinject,axiom,
% 197.84/198.29 ! [V_nat_H_2,V_nat_2] :
% 197.84/198.29 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 197.84/198.29 <=> V_nat_2 = V_nat_H_2 ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__n__not__n,axiom,
% 197.84/198.29 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 197.84/198.29
% 197.84/198.29 fof(fact_n__not__Suc__n,axiom,
% 197.84/198.29 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_neg__equal__iff__equal,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 197.84/198.29 <=> V_a_2 = V_b_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__equation__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_b_2
% 197.84/198.29 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) = V_a_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_equation__minus__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 197.84/198.29 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__minus,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__eq__Compl__iff,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)
% 197.84/198.29 <=> V_A_2 = V_B_2 ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_double__complement,axiom,
% 197.84/198.29 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 197.84/198.29
% 197.84/198.29 fof(fact_compl__eq__compl__iff,axiom,
% 197.84/198.29 ! [V_y_2,V_x_2,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)
% 197.84/198.29 <=> V_x_2 = V_y_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_uminus__apply,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Ouminus(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_double__compl,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_fun__Compl__def,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Ouminus(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_compl__mono,axiom,
% 197.84/198.29 ! [V_y,V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.84/198.29 => 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))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_compl__le__compl__iff,axiom,
% 197.84/198.29 ! [V_y_2,V_x_2,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__imp__neg__le,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.29 => 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))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_neg__le__iff__le,axiom,
% 197.84/198.29 ! [V_a_2,V_b_2,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__le__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__minus__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__minus__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__less__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_neg__less__iff__less,axiom,
% 197.84/198.29 ! [V_a_2,V_b_2,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__add__cancel,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => 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 ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__minus__cancel,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => 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 ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__add,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__add__distrib,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Oab__group__add(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_square__eq__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Rings_Oidom(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2)
% 197.84/198.29 <=> ( V_a_2 = V_b_2
% 197.84/198.29 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__mult__minus,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oring(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__mult__commute,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oring(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__mult__left,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oring(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__mult__right,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oring(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ComplE,axiom,
% 197.84/198.29 ! [V_A_2,V_c_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 197.84/198.29 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ComplD,axiom,
% 197.84/198.29 ! [V_A_2,V_c_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 197.84/198.29 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__iff,axiom,
% 197.84/198.29 ! [V_A_2,V_c_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 197.84/198.29 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__diff__eq,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Oab__group__add(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__anti__mono,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__subset__Compl__iff,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__less__SucD,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__lessD,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__SucE,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 197.84/198.29 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => V_m = V_n ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__trans__Suc,axiom,
% 197.84/198.29 ! [V_k,V_j,V_i] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__lessI,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__SucI,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__antisym,axiom,
% 197.84/198.29 ! [V_m,V_n] :
% 197.84/198.29 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 197.84/198.29 => V_m = V_n ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_not__less__less__Suc__eq,axiom,
% 197.84/198.29 ! [V_m_2,V_n_2] :
% 197.84/198.29 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 197.84/198.29 <=> V_n_2 = V_m_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__less__eq,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( 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)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__Suc__eq,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.84/198.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.29 | V_m_2 = V_n_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_not__less__eq,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__Suc__shift,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__Suc,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__Suc__right,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__leD,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__SucE,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 197.84/198.29 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__SucI,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__le__mono,axiom,
% 197.84/198.29 ! [V_m_2,V_n_2] :
% 197.84/198.29 ( 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)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__Suc__eq,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.84/198.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.29 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_not__less__eq__eq,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__n__not__le__n,axiom,
% 197.84/198.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__Suc__Suc,axiom,
% 197.84/198.29 ! [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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__diff__diff,axiom,
% 197.84/198.29 ! [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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__mult__cancel1,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.29 ( 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)
% 197.84/198.29 <=> V_m_2 = V_n_2 ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__timesf,axiom,
% 197.84/198.29 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),V_A_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__1,axiom,
% 197.84/198.29 ! [V_A_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Oone__class_Oone(T_a))),V_A_2) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setsum__negf,axiom,
% 197.84/198.29 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Oab__group__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Oempty,axiom,
% 197.84/198.29 ! [V_g_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__empty,axiom,
% 197.84/198.29 ! [V_f_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Oinfinite,axiom,
% 197.84/198.29 ! [V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__infinite,axiom,
% 197.84/198.29 ! [V_f_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__eq__1__iff,axiom,
% 197.84/198.29 ! [V_f_2,V_Fa_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.84/198.29 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_Fa_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.84/198.29 <=> ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_Fa_2))
% 197.84/198.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 197.84/198.29 ! [V_y,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__ring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__def,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ab__diff__minus,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Oab__group__add(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__minus__eq__add,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_square__eq__1__iff,axiom,
% 197.84/198.29 ! [V_x_2,T_a] :
% 197.84/198.29 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 197.84/198.29 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 197.84/198.29 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__ring__1(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_compl__inf__bot,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_inf__compl__bot,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__eq,axiom,
% 197.84/198.29 ! [V_y,V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_compl__inf,axiom,
% 197.84/198.29 ! [V_y,V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_compl__sup,axiom,
% 197.84/198.29 ! [V_y,V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_subset__Compl__self__eq,axiom,
% 197.84/198.29 ! [V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 197.84/198.29 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__disjoint2,axiom,
% 197.84/198.29 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__disjoint,axiom,
% 197.84/198.29 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__Un,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__Int,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Compl__Diff__eq,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Diff__Compl,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Diff__eq,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__iff__Suc__add,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.29 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__add__Suc2,axiom,
% 197.84/198.29 ! [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)))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__add__Suc1,axiom,
% 197.84/198.29 ! [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)))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__le__lessD,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__less__Suc__eq,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 197.84/198.29 <=> V_n_2 = V_m_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__leI,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__imp__less__Suc,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__le__eq,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__Suc__eq__le,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__eq__Suc__le,axiom,
% 197.84/198.29 ! [V_m_2,V_n_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Odistrib,axiom,
% 197.84/198.29 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__less__Suc,axiom,
% 197.84/198.29 ! [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))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__mult__less__cancel1,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.29 ( 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)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__Suc__right,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__Suc,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__diff__le,axiom,
% 197.84/198.29 ! [V_m,V_n] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__mult__le__cancel1,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.29 ( 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)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__Suc__1,axiom,
% 197.84/198.29 ! [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 ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__eq__Suc__le__raw,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__delta,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.84/198.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.84/198.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__delta_H,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.84/198.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.84/198.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_disjoint__eq__subset__Compl,axiom,
% 197.84/198.29 ! [V_B_2,V_A_2,T_a] :
% 197.84/198.29 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__Suc__diff__eq2,axiom,
% 197.84/198.29 ! [V_m,V_j,V_k] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__Suc__diff__eq1,axiom,
% 197.84/198.29 ! [V_m,V_j,V_k] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Oinsert,axiom,
% 197.84/198.29 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__insert,axiom,
% 197.84/198.29 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Ounion__inter,axiom,
% 197.84/198.29 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__Un__Int,axiom,
% 197.84/198.29 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Oeq__fold,axiom,
% 197.84/198.29 ! [V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_OF__eq,axiom,
% 197.84/198.29 ! [V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) )
% 197.84/198.29 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__insert__disjoint,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__insert__if,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) )
% 197.84/198.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ranI,axiom,
% 197.84/198.29 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] :
% 197.84/198.29 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2)
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Oinsert__remove,axiom,
% 197.84/198.29 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Ounion__disjoint,axiom,
% 197.84/198.29 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__Un__disjoint,axiom,
% 197.84/198.29 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__insert,axiom,
% 197.84/198.29 ! [V_x_2,V_A_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ran__empty,axiom,
% 197.84/198.29 ! [T_a,T_b] : c_Map_Oran(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 197.84/198.29 ! [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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__eq__plus1__left,axiom,
% 197.84/198.29 ! [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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__eq__plus1,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Body__triple__valid__Suc,axiom,
% 197.84/198.29 ! [V_Q_2,V_pn_2,V_P_2,V_n_2,T_a] :
% 197.84/198.29 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2))
% 197.84/198.29 <=> c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 197.84/198.29 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.84/198.29 => ( ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.84/198.29 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__Un__one,axiom,
% 197.84/198.29 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 197.84/198.29 => ( ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 197.84/198.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__gen__delta,axiom,
% 197.84/198.29 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.84/198.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,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_b),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 197.84/198.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,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_b),V_c_2),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 197.84/198.29 ! [V_q,V_y,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 197.84/198.29 ! [V_q,V_p,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 197.84/198.29 ! [V_q,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 197.84/198.29 ! [V_q,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 197.84/198.29 ! [V_q,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 197.84/198.29 ! [V_q,V_p,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_triple__valid__Suc,axiom,
% 197.84/198.29 ! [V_t,V_n,T_a] :
% 197.84/198.29 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 197.84/198.29 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__constant,axiom,
% 197.84/198.29 ! [V_y_2,V_A_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_COMBK(T_b,T_a),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__increasing__iff,axiom,
% 197.84/198.29 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__le__imp__le__exp,axiom,
% 197.84/198.29 ! [V_n,V_m,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => ( 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)))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__minus,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oring__1(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__increasing,axiom,
% 197.84/198.29 ! [V_a,V_N,V_n,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__strict__increasing,axiom,
% 197.84/198.29 ! [V_a,V_N,V_n,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__less__imp__less__exp,axiom,
% 197.84/198.29 ! [V_n,V_m,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => ( 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)))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__strict__increasing__iff,axiom,
% 197.84/198.29 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__gt1,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => 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)))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__commutes,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__mult__distrib,axiom,
% 197.84/198.29 ! [V_n,V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__one,axiom,
% 197.84/198.29 ! [V_n,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__mult,axiom,
% 197.84/198.29 ! [V_n,V_m,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__one__right,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_one__le__power,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => 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))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__inject__exp,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2))
% 197.84/198.29 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)
% 197.84/198.29 <=> V_m_2 = V_n_2 ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__Suc,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Power_Opower(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__Suc2,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__add,axiom,
% 197.84/198.29 ! [V_n,V_m,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__mult(T_a)
% 197.84/198.29 => 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__less__power__Suc,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => 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)))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__gt1__lemma,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.84/198.29 => 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)))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__power__power,axiom,
% 197.84/198.29 ! [T_a] :
% 197.84/198.29 ( class_Power_Opower(T_a)
% 197.84/198.29 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__mono__one__right,axiom,
% 197.84/198.29 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.84/198.29 => ( ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.84/198.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setprod__mono__one__left,axiom,
% 197.84/198.29 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.84/198.29 => ( ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.84/198.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_ran__restrictD,axiom,
% 197.84/198.29 ! [V_A_2,V_m_2,T_b,V_y_2,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),c_Map_Oran(T_b,T_a,c_Map_Orestrict__map(T_b,T_a,V_m_2,V_A_2))))
% 197.84/198.29 => ? [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.84/198.29 & hAPP(V_m_2,B_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_compl__unique,axiom,
% 197.84/198.29 ! [V_y,V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Oboolean__algebra(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 197.84/198.29 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 197.84/198.29 <=> 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)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_convex__bound__lt,axiom,
% 197.84/198.29 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 197.84/198.29 => 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)) ) ) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_fold__image__1,axiom,
% 197.84/198.29 ! [V_f_2,V_S_2,T_a,T_b] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.84/198.29 => ( ! [B_x] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 197.84/198.29 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 197.84/198.29 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_UNIV__I,axiom,
% 197.84/198.29 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__zeroE,axiom,
% 197.84/198.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le0,axiom,
% 197.84/198.29 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_zero__less__Suc,axiom,
% 197.84/198.29 ! [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))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__eq__0__iff,axiom,
% 197.84/198.29 ! [V_n_2,V_a_2,T_a] :
% 197.84/198.29 ( ( class_Power_Opower(T_a)
% 197.84/198.29 & class_Rings_Omult__zero(T_a)
% 197.84/198.29 & class_Rings_Ono__zero__divisors(T_a)
% 197.84/198.29 & class_Rings_Ozero__neq__one(T_a) )
% 197.84/198.29 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power_Opower_Opower__0,axiom,
% 197.84/198.29 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 197.84/198.29
% 197.84/198.29 fof(fact_finite__fun__UNIVD2,axiom,
% 197.84/198.29 ! [T_b,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 197.84/198.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_finite__option__UNIV,axiom,
% 197.84/198.29 ! [T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool))))
% 197.84/198.29 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_finite__Plus__UNIV__iff,axiom,
% 197.84/198.29 ! [T_b,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))))
% 197.84/198.29 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 197.84/198.29 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_finite__Prod__UNIV,axiom,
% 197.84/198.29 ! [T_b,T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 197.84/198.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.84/198.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_top__apply,axiom,
% 197.84/198.29 ! [V_x_2,T_b,T_a] :
% 197.84/198.29 ( class_Orderings_Otop(T_a)
% 197.84/198.29 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_zero__reorient,axiom,
% 197.84/198.29 ! [V_x_2,T_a] :
% 197.84/198.29 ( class_Groups_Ozero(T_a)
% 197.84/198.29 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 197.84/198.29 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat__case__0,axiom,
% 197.84/198.29 ! [V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__0__left,axiom,
% 197.84/198.29 ! [V_n,T_a] :
% 197.84/198.29 ( ( class_Power_Opower(T_a)
% 197.84/198.29 & class_Rings_Osemiring__0(T_a) )
% 197.84/198.29 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 => 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) )
% 197.84/198.29 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 => 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) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_UNIV__not__empty,axiom,
% 197.84/198.29 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_finite__UNIV,axiom,
% 197.84/198.29 ! [T_a] :
% 197.84/198.29 ( class_Finite__Set_Ofinite(T_a)
% 197.84/198.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_subset__UNIV,axiom,
% 197.84/198.29 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__0__left,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__0,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_double__zero__sym,axiom,
% 197.84/198.29 ! [V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.84/198.29 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)
% 197.84/198.29 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__0__right,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Omonoid__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add_Ocomm__neutral,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__0__iff,axiom,
% 197.84/198.29 ! [V_a_2,V_b_2,T_a] :
% 197.84/198.29 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 197.84/198.29 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)
% 197.84/198.29 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_divisors__zero,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Ono__zero__divisors(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_no__zero__divisors,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Ono__zero__divisors(T_a)
% 197.84/198.29 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__eq__0__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Rings_Oring__no__zero__divisors(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__zero__right,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Rings_Omult__zero(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__zero__left,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Rings_Omult__zero(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Un__UNIV__left,axiom,
% 197.84/198.29 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Un__UNIV__right,axiom,
% 197.84/198.29 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Int__UNIV__left,axiom,
% 197.84/198.29 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Int__UNIV__right,axiom,
% 197.84/198.29 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 197.84/198.29
% 197.84/198.29 fof(fact_right__minus__eq,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 <=> V_a_2 = V_b_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_eq__iff__diff__eq__0,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Oab__group__add(T_a)
% 197.84/198.29 => ( V_a_2 = V_b_2
% 197.84/198.29 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__self,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__0__right,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_zero__neq__one,axiom,
% 197.84/198.29 ! [T_a] :
% 197.84/198.29 ( class_Rings_Ozero__neq__one(T_a)
% 197.84/198.29 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_one__neq__zero,axiom,
% 197.84/198.29 ! [T_a] :
% 197.84/198.29 ( class_Rings_Ozero__neq__one(T_a)
% 197.84/198.29 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__zero,axiom,
% 197.84/198.29 ! [T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_neg__0__equal__iff__equal,axiom,
% 197.84/198.29 ! [V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 197.84/198.29 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_equal__neg__zero,axiom,
% 197.84/198.29 ! [V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.84/198.29 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 197.84/198.29 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_neg__equal__0__iff__equal,axiom,
% 197.84/198.29 ! [V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Ogroup__add(T_a)
% 197.84/198.29 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_neg__equal__zero,axiom,
% 197.84/198.29 ! [V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.84/198.29 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_a_2
% 197.84/198.29 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Zero__not__Suc,axiom,
% 197.84/198.29 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat_Osimps_I2_J,axiom,
% 197.84/198.29 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__not__Zero,axiom,
% 197.84/198.29 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat_Osimps_I3_J,axiom,
% 197.84/198.29 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Zero__neq__Suc,axiom,
% 197.84/198.29 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Suc__neq__Zero,axiom,
% 197.84/198.29 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 197.84/198.29 ! [V_m_2,V_x_2] :
% 197.84/198.29 ( 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))
% 197.84/198.29 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__Suc__0,axiom,
% 197.84/198.29 ! [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)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_field__power__not__zero,axiom,
% 197.84/198.29 ! [V_n,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 197.84/198.29 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_not__less0,axiom,
% 197.84/198.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_neq0__conv,axiom,
% 197.84/198.29 ! [V_n_2] :
% 197.84/198.29 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__nat__zero__code,axiom,
% 197.84/198.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_gr__implies__not0,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.84/198.29 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_gr0I,axiom,
% 197.84/198.29 ! [V_n] :
% 197.84/198.29 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat__power__less__imp__less,axiom,
% 197.84/198.29 ! [V_n,V_m,V_i] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 197.84/198.29 => ( 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)))
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat__zero__less__power__iff,axiom,
% 197.84/198.29 ! [V_n_2,V_x_2] :
% 197.84/198.29 ( 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)))
% 197.84/198.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 197.84/198.29 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_card__UNIV__unit,axiom,
% 197.84/198.29 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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_plus__nat_Oadd__0,axiom,
% 197.84/198.29 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 197.84/198.29
% 197.84/198.29 fof(fact_Nat_Oadd__0__right,axiom,
% 197.84/198.29 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__is__0,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__eq__self__zero,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 197.84/198.29 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 197.84/198.29 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_le__0__eq,axiom,
% 197.84/198.29 ! [V_n_2] :
% 197.84/198.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 197.84/198.29 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diffs0__imp__equal,axiom,
% 197.84/198.29 ! [V_n,V_m] :
% 197.84/198.29 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 => V_m = V_n ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__self__eq__0,axiom,
% 197.84/198.29 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_minus__nat_Odiff__0,axiom,
% 197.84/198.29 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 197.84/198.29
% 197.84/198.29 fof(fact_diff__0__eq__0,axiom,
% 197.84/198.29 ! [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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.29 ( 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)
% 197.84/198.29 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 | V_m_2 = V_n_2 ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__cancel2,axiom,
% 197.84/198.29 ! [V_n_2,V_k_2,V_m_2] :
% 197.84/198.29 ( 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)
% 197.84/198.29 <=> ( V_m_2 = V_n_2
% 197.84/198.29 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__cancel1,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2,V_k_2] :
% 197.84/198.29 ( 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)
% 197.84/198.29 <=> ( V_m_2 = V_n_2
% 197.84/198.29 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__is__0,axiom,
% 197.84/198.29 ! [V_n_2,V_m_2] :
% 197.84/198.29 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.84/198.29 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__0__right,axiom,
% 197.84/198.29 ! [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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__0,axiom,
% 197.84/198.29 ! [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) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_finite__UNIV__card__ge__0,axiom,
% 197.84/198.29 ! [T_a] :
% 197.84/198.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 197.84/198.29 => 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_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__eq__imp__eq__base,axiom,
% 197.84/198.29 ! [V_b,V_n,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( 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)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.84/198.29 => V_a = V_b ) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_range__composition,axiom,
% 197.84/198.29 ! [V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBB(T_c,T_a,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_setsum__0,axiom,
% 197.84/198.29 ! [V_A_2,T_b,T_a] :
% 197.84/198.29 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_A_2) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_top__greatest,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Orderings_Otop(T_a)
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_sup__top__right,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_sup__top__left,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.84/198.29 => 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) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_inf__top__left,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_inf__top__right,axiom,
% 197.84/198.29 ! [V_x,T_a] :
% 197.84/198.29 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.84/198.29 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_inf__eq__top__iff,axiom,
% 197.84/198.29 ! [V_y_2,V_x_2,T_a] :
% 197.84/198.29 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.84/198.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_a)
% 197.84/198.29 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_a)
% 197.84/198.29 & V_y_2 = c_Orderings_Otop__class_Otop(T_a) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_UNIV__option__conv,axiom,
% 197.84/198.29 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_power__strict__mono,axiom,
% 197.84/198.29 ! [V_n,V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__semidom(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.84/198.29 => 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))) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_rangeI,axiom,
% 197.84/198.29 ! [T_b,V_x_2,V_f_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_range__eqI,axiom,
% 197.84/198.29 ! [T_b,T_a,V_x_2,V_f_2,V_b_2] :
% 197.84/198.29 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 197.84/198.29 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__nonpos__nonpos,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__increasing2,axiom,
% 197.84/198.29 ! [V_a,V_b,V_c,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__increasing,axiom,
% 197.84/198.29 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__nonneg__eq__0__iff,axiom,
% 197.84/198.29 ! [V_y_2,V_x_2,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x_2))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y_2))
% 197.84/198.29 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.84/198.29 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_add__nonneg__nonneg,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 197.84/198.29 ! [V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 197.84/198.29 ! [V_a_2,T_a] :
% 197.84/198.29 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.84/198.29 => ( 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_2),V_a_2)))
% 197.84/198.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_zero__le__square,axiom,
% 197.84/198.29 ! [V_a,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__ring(T_a)
% 197.84/198.29 => 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))) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_zero__le__mult__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.84/198.29 => ( 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_2),V_b_2)))
% 197.84/198.29 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 197.84/198.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 197.84/198.29 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__le__0__iff,axiom,
% 197.84/198.29 ! [V_b_2,V_a_2,T_a] :
% 197.84/198.29 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 197.84/198.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 197.84/198.29 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__nonneg__nonneg,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__nonneg__nonpos,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__nonneg__nonpos2,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__nonpos__nonneg,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__nonpos__nonpos,axiom,
% 197.84/198.29 ! [V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__right__mono,axiom,
% 197.84/198.29 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__left__mono,axiom,
% 197.84/198.29 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_comm__mult__left__mono,axiom,
% 197.84/198.29 ! [V_c,V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__comm__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__right__mono__neg,axiom,
% 197.84/198.29 ! [V_c,V_a,V_b,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__left__mono__neg,axiom,
% 197.84/198.29 ! [V_c,V_a,V_b,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.29 => 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))) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__mono_H,axiom,
% 197.84/198.29 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.84/198.29 ( class_Rings_Oordered__semiring(T_a)
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.84/198.29 => 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))) ) ) ) ) ) ).
% 197.84/198.29
% 197.84/198.29 fof(fact_mult__mono,axiom,
% 197.84/198.29 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.84/198.30 ( class_Rings_Oordered__semiring(T_a)
% 197.84/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.84/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.84/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.84/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.84/198.30 => 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))) ) ) ) ) ) ).
% 197.84/198.30
% 197.84/198.30 fof(fact_split__mult__pos__le,axiom,
% 197.84/198.30 ! [V_b,V_a,T_a] :
% 197.84/198.30 ( class_Rings_Oordered__ring(T_a)
% 197.84/198.30 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 197.84/198.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 197.84/198.30 => 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))) ) ) ).
% 197.84/198.30
% 197.84/198.30 fof(fact_split__mult__neg__le,axiom,
% 197.84/198.30 ! [V_b,V_a,T_a] :
% 197.84/198.30 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.84/198.30 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.84/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 197.84/198.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.84/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 197.84/198.30 => 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))) ) ) ).
% 197.84/198.30
% 197.84/198.30 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 197.84/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.30 => ( 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_2),V_a_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__pos__pos,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__neg__neg,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_pos__add__strict,axiom,
% 197.93/198.30 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_not__square__less__zero,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring(T_a)
% 197.93/198.30 => ~ 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__cancel__right__disj,axiom,
% 197.93/198.30 ! [V_b_2,V_c_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)))
% 197.93/198.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 197.93/198.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__cancel__left__disj,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2)))
% 197.93/198.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 197.93/198.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__cancel__left__pos,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__pos__pos,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__pos__neg,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__pos__neg2,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__less__mult__pos,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__less__mult__pos2,axiom,
% 197.93/198.30 ! [V_a,V_b,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__cancel__left__neg,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__neg__pos,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__neg__neg,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__strict__right__mono,axiom,
% 197.93/198.30 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__strict__left__mono,axiom,
% 197.93/198.30 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_comm__mult__strict__left__mono,axiom,
% 197.93/198.30 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__strict__right__mono__neg,axiom,
% 197.93/198.30 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__strict__left__mono__neg,axiom,
% 197.93/198.30 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_le__iff__diff__le__0,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_less__iff__diff__less__0,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Diff__UNIV,axiom,
% 197.93/198.30 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_sum__squares__eq__zero__iff,axiom,
% 197.93/198.30 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__scale__eq__noteq,axiom,
% 197.93/198.30 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 197.93/198.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 197.93/198.30 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => ( ( V_a = V_b
% 197.93/198.30 & V_c != V_d )
% 197.93/198.30 => 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)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_not__one__le__zero,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ~ 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__le__one,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__less__one,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_not__one__less__zero,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 197.93/198.30 => ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 197.93/198.30 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_neg__0__le__iff__le,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_le__minus__self__iff,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_neg__le__0__iff__le,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_minus__le__self__iff,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_neg__less__nonneg,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_neg__less__0__iff__less,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_neg__0__less__iff__less,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_less__minus__self__iff,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_right__minus,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Groups_Ogroup__add(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Ogroup__add(T_a)
% 197.93/198.30 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 197.93/198.30 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_left__minus,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Groups_Ogroup__add(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_ab__left__minus,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oab__group__add(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_minus__unique,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Ogroup__add(T_a)
% 197.93/198.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__mono,axiom,
% 197.93/198.30 ! [V_n,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__le__power,axiom,
% 197.93/198.30 ! [V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__less__power,axiom,
% 197.93/198.30 ! [V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__0,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Groups_Ogroup__add(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__empty,axiom,
% 197.93/198.30 ! [V_f_2,T_b,T_a] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum_Oempty,axiom,
% 197.93/198.30 ! [V_g_2,T_b,T_a] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__infinite,axiom,
% 197.93/198.30 ! [V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum_Oinfinite,axiom,
% 197.93/198.30 ! [V_g_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Compl__empty__eq,axiom,
% 197.93/198.30 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Compl__UNIV__eq,axiom,
% 197.93/198.30 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__compl,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 197.93/198.30 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__0__Suc,axiom,
% 197.93/198.30 ! [V_n,T_a] :
% 197.93/198.30 ( ( class_Power_Opower(T_a)
% 197.93/198.30 & class_Rings_Osemiring__0(T_a) )
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setprod__zero__iff,axiom,
% 197.93/198.30 ! [V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( ( class_Rings_Ocomm__semiring__1(T_b)
% 197.93/198.30 & class_Rings_Ono__zero__divisors(T_b) )
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.93/198.30 <=> ? [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.30 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setprod__zero,axiom,
% 197.93/198.30 ! [V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( class_Rings_Ocomm__semiring__1(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( ? [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.30 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_less__Suc__eq__0__disj,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.93/198.30 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 | ? [B_j] :
% 197.93/198.30 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_less__Suc0,axiom,
% 197.93/198.30 ! [V_n_2] :
% 197.93/198.30 ( 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))))
% 197.93/198.30 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_gr0__conv__Suc,axiom,
% 197.93/198.30 ! [V_n_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 197.93/198.30 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Compl__partition2,axiom,
% 197.93/198.30 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Compl__partition,axiom,
% 197.93/198.30 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_one__is__add,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( 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)
% 197.93/198.30 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.93/198.30 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.30 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__is__1,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( 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))
% 197.93/198.30 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.93/198.30 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.30 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__gr__0,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 197.93/198.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__one__le__power,axiom,
% 197.93/198.30 ! [V_n,V_i] :
% 197.93/198.30 ( 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))
% 197.93/198.30 => 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 197.93/198.30 ! [V_x,T_a] :
% 197.93/198.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__0,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Power_Opower(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 197.93/198.30 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_A_2) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card_Oempty,axiom,
% 197.93/198.30 ! [T_a] : hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__infinite,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__eq__1__iff,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( 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))
% 197.93/198.30 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.93/198.30 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__less__diff,axiom,
% 197.93/198.30 ! [V_m_2,V_n_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__less,axiom,
% 197.93/198.30 ! [V_m,V_n] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.93/198.30 => 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)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__mult__less__cancel1,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2,V_k_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__mult__eq__cancel1,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2,V_k_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.93/198.30 => ( 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)
% 197.93/198.30 <=> V_m_2 = V_n_2 ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__0__less__mult__iff,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__cancel1,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2,V_k_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__cancel2,axiom,
% 197.93/198.30 ! [V_n_2,V_k_2,V_m_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__mono1,axiom,
% 197.93/198.30 ! [V_k,V_j,V_i] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__mono2,axiom,
% 197.93/198.30 ! [V_k,V_j,V_i] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__add__0,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__is__0__eq,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__is__0__eq_H,axiom,
% 197.93/198.30 ! [V_n,V_m] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.93/198.30 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_One__nat__def,axiom,
% 197.93/198.30 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__eq__self__implies__10,axiom,
% 197.93/198.30 ! [V_n,V_m] :
% 197.93/198.30 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 197.93/198.30 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.93/198.30 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__eq__0__iff,axiom,
% 197.93/198.30 ! [V_f_2,V_Fa_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 197.93/198.30 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_Fa_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 <=> ! [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_Fa_2))
% 197.93/198.30 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__range__imageI,axiom,
% 197.93/198.30 ! [V_f_2,T_c,V_g_2,T_b,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 197.93/198.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(c_COMBB(T_a,T_c,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__case__Suc,axiom,
% 197.93/198.30 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_dom__const,axiom,
% 197.93/198.30 ! [V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_compl__bot__eq,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Lattices_Oboolean__algebra(T_a)
% 197.93/198.30 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_compl__top__eq,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Lattices_Oboolean__algebra(T_a)
% 197.93/198.30 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_compl__sup__top,axiom,
% 197.93/198.30 ! [V_x,T_a] :
% 197.93/198.30 ( class_Lattices_Oboolean__algebra(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_sup__compl__top,axiom,
% 197.93/198.30 ! [V_x,T_a] :
% 197.93/198.30 ( class_Lattices_Oboolean__algebra(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power_Opower_Opower__Suc,axiom,
% 197.93/198.30 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,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_a,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__pos__nonneg,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__nonneg__pos,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__strict__increasing,axiom,
% 197.93/198.30 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__strict__increasing2,axiom,
% 197.93/198.30 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__neg__nonpos,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__nonpos__neg,axiom,
% 197.93/198.30 ! [V_b,V_a,T_a] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__le__cancel__left__pos,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__le__cancel__left__neg,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__strict__mono,axiom,
% 197.93/198.30 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => 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))) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__strict__mono_H,axiom,
% 197.93/198.30 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => 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))) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__le__imp__less,axiom,
% 197.93/198.30 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => 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))) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__le__less__imp__less,axiom,
% 197.93/198.30 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => 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))) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__right__less__imp__less,axiom,
% 197.93/198.30 ! [V_b,V_c,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__imp__less__right,axiom,
% 197.93/198.30 ! [V_b,V_c,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__left__less__imp__less,axiom,
% 197.93/198.30 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__less__imp__less__left,axiom,
% 197.93/198.30 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__right__le__imp__le,axiom,
% 197.93/198.30 ! [V_b,V_c,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__left__le__imp__le,axiom,
% 197.93/198.30 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_sum__squares__ge__zero,axiom,
% 197.93/198.30 ! [V_y,V_x,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring(T_a)
% 197.93/198.30 => 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)))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_sum__squares__le__zero__iff,axiom,
% 197.93/198.30 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( 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_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_not__sum__squares__lt__zero,axiom,
% 197.93/198.30 ! [V_y,V_x,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring(T_a)
% 197.93/198.30 => ~ 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_sum__squares__gt__zero__iff,axiom,
% 197.93/198.30 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.93/198.30 => ( 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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))))
% 197.93/198.30 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__right__le__one__le,axiom,
% 197.93/198.30 ! [V_y,V_x,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 197.93/198.30 => 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)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__left__le__one__le,axiom,
% 197.93/198.30 ! [V_y,V_x,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 197.93/198.30 => 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)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zero__less__two,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => 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)))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__less__imp__less__base,axiom,
% 197.93/198.30 ! [V_b,V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__inject__base,axiom,
% 197.93/198.30 ! [V_b,V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( 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))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => V_a = V_b ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__le__imp__le__base,axiom,
% 197.93/198.30 ! [V_b,V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( 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))))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_surj__Compl__image__subset,axiom,
% 197.93/198.30 ! [V_A_2,V_f_2,T_a,T_b] :
% 197.93/198.30 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__eq__0__iff,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.30 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__ge__0__finite,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( 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_a),V_A_2)))
% 197.93/198.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Suc__pred,axiom,
% 197.93/198.30 ! [V_n] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.30 => 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 ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__Suc__less,axiom,
% 197.93/198.30 ! [V_i,V_n] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.30 => 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)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_n__less__m__mult__n,axiom,
% 197.93/198.30 ! [V_m,V_n] :
% 197.93/198.30 ( 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))
% 197.93/198.30 => ( 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))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_n__less__n__mult__m,axiom,
% 197.93/198.30 ! [V_m,V_n] :
% 197.93/198.30 ( 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))
% 197.93/198.30 => ( 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))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_one__less__mult,axiom,
% 197.93/198.30 ! [V_m,V_n] :
% 197.93/198.30 ( 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))
% 197.93/198.30 => ( 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))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__diff__split__asm,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_P_2] :
% 197.93/198.30 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 197.93/198.30 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 197.93/198.30 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.93/198.30 | ? [B_d] :
% 197.93/198.30 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 197.93/198.30 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__diff__split,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_P_2] :
% 197.93/198.30 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 197.93/198.30 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 197.93/198.30 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.93/198.30 & ! [B_d] :
% 197.93/198.30 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 197.93/198.30 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_one__le__mult__iff,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> ( 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))
% 197.93/198.30 & 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)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__le__cancel1,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2,V_k_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__le__cancel2,axiom,
% 197.93/198.30 ! [V_n_2,V_k_2,V_m_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__mult__le__cancel1,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2,V_k_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__eq__if,axiom,
% 197.93/198.30 ! [V_p,V_m] :
% 197.93/198.30 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 197.93/198.30 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 => 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)))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__eq__Suc0__iff,axiom,
% 197.93/198.30 ! [V_f_2,V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.93/198.30 <=> ? [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.30 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.93/198.30 & ! [B_xa] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 197.93/198.30 => ( B_x != B_xa
% 197.93/198.30 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__eq__1__iff,axiom,
% 197.93/198.30 ! [V_f_2,V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.93/198.30 <=> ? [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.30 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.93/198.30 & ! [B_xa] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 197.93/198.30 => ( B_x != B_xa
% 197.93/198.30 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__delta_H,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.30 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.93/198.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__delta,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.30 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.93/198.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setprod__pos__nat__iff,axiom,
% 197.93/198.30 ! [V_f_2,V_S_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.30 => ( 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_a,tc_Nat_Onat),V_f_2),V_S_2)))
% 197.93/198.30 <=> ! [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__range__updI,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 197.93/198.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Body__triple__valid__0,axiom,
% 197.93/198.30 ! [V_Q_2,V_pn_2,V_P_2,T_a] : c_Hoare__Mirabelle_Otriple__valid(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_convex__bound__le,axiom,
% 197.93/198.30 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semiring__1(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 197.93/198.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 197.93/198.30 => 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)) ) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__Suc__less,axiom,
% 197.93/198.30 ! [V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__Suc__less__one,axiom,
% 197.93/198.30 ! [V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__strict__decreasing,axiom,
% 197.93/198.30 ! [V_a,V_N,V_n,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.93/198.30 => 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))) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_power__decreasing,axiom,
% 197.93/198.30 ! [V_a,V_N,V_n,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.93/198.30 => 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))) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_one__less__power,axiom,
% 197.93/198.30 ! [V_n,V_a,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__gt__0__iff,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( 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_a),V_A_2)))
% 197.93/198.30 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum_OF__eq,axiom,
% 197.93/198.30 ! [V_g_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) )
% 197.93/198.30 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum_Oeq__fold,axiom,
% 197.93/198.30 ! [V_g_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Suc__pred_H,axiom,
% 197.93/198.30 ! [V_n] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.30 => 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Suc__diff__1,axiom,
% 197.93/198.30 ! [V_n] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.30 => 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 ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add__eq__if,axiom,
% 197.93/198.30 ! [V_n,V_m] :
% 197.93/198.30 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 197.93/198.30 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 => 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)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_mult__eq__if,axiom,
% 197.93/198.30 ! [V_n,V_m] :
% 197.93/198.30 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.30 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 => 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)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__restrict__set,axiom,
% 197.93/198.30 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__def,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 197.93/198.30 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card_Oeq__fold__g,axiom,
% 197.93/198.30 ! [V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__fun__UNIVD1,axiom,
% 197.93/198.30 ! [T_b,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 197.93/198.30 => ( hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.93/198.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_even__less__0__iff,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__mono2,axiom,
% 197.93/198.30 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.30 => ( ! [B_b] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_b))) )
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_triple_Osize_I1_J,axiom,
% 197.93/198.30 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_a] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_a,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card_Ounion__inter__neutral,axiom,
% 197.93/198.30 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.30 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.93/198.30 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__Un__zero,axiom,
% 197.93/198.30 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 197.93/198.30 => ( ! [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 197.93/198.30 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 197.93/198.30 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 197.93/198.30 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.30 => ( ! [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.93/198.30 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.93/198.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_setsum__mono3,axiom,
% 197.93/198.30 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 197.93/198.30 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.30 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.30 => ( ! [B_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_top1I,axiom,
% 197.93/198.30 ! [V_x_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_bot__nat__def,axiom,
% 197.93/198.30 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zpower__zadd__distrib,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zpower__zpower,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__Suc,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_double__eq__0__iff,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_triple_Osize_I2_J,axiom,
% 197.93/198.30 ! [V_fun2_2,V_com_2,V_fun1_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__Suc__eq,axiom,
% 197.93/198.30 ! [V_k_2,V_A_2,T_a] :
% 197.93/198.30 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 197.93/198.30 <=> ? [B_b,B_B] :
% 197.93/198.30 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_b),B_B)
% 197.93/198.30 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_b),B_B))
% 197.93/198.30 & hAPP(c_Finite__Set_Ocard(T_a),B_B) = V_k_2
% 197.93/198.30 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.30 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_option_Osize_I2_J,axiom,
% 197.93/198.30 ! [V_a_2,V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,hAPP(c_Option_Ooption_OSome(T_a),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__odd__less__0,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),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)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_iso__tuple__UNIV__I,axiom,
% 197.93/198.30 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I4_J,axiom,
% 197.93/198.30 ! [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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__Plus__conv__if,axiom,
% 197.93/198.30 ! [V_B_2,T_b,V_A_2,T_a] :
% 197.93/198.30 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) )
% 197.93/198.30 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zmult__zless__mono2,axiom,
% 197.93/198.30 ! [V_k,V_j,V_i] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_pos__zmult__eq__1__iff,axiom,
% 197.93/198.30 ! [V_n_2,V_m_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 197.93/198.30 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.93/198.30 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.93/198.30 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zmult__zminus,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zmult__1,axiom,
% 197.93/198.30 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zmult__1__right,axiom,
% 197.93/198.30 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__zmult__distrib2,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__zmult__distrib,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zmult__commute,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zmult__assoc,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiff__zmult__distrib,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiff__zmult__distrib2,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__0,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Rings_Oring__1(T_a)
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__add,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Oring__1(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__mult,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Oring__1(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__diff,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Oring__1(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__1,axiom,
% 197.93/198.30 ! [T_a] :
% 197.93/198.30 ( class_Rings_Oring__1(T_a)
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__minus,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Oring__1(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__power,axiom,
% 197.93/198.30 ! [V_n_2,V_a_2,T_a] :
% 197.93/198.30 ( class_Rings_Oring__1(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_option_Osize_I1_J,axiom,
% 197.93/198.30 ! [V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I7_J,axiom,
% 197.93/198.30 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I1_J,axiom,
% 197.93/198.30 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__double__eq__0__iff,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Int_Oring__char__0(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__Plus__iff,axiom,
% 197.93/198.30 ! [V_B_2,V_A_2,T_b,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 197.93/198.30 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__Plus,axiom,
% 197.93/198.30 ! [V_B_2,T_b,V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.93/198.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__PlusD_I1_J,axiom,
% 197.93/198.30 ! [V_B_2,V_A_2,T_b,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 197.93/198.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_finite__PlusD_I2_J,axiom,
% 197.93/198.30 ! [V_B_2,V_A_2,T_b,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 197.93/198.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_card__Plus,axiom,
% 197.93/198.30 ! [V_B_2,T_b,V_A_2,T_a] :
% 197.93/198.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.93/198.30 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Ints__odd__nonzero,axiom,
% 197.93/198.30 ! [V_a_2,T_a] :
% 197.93/198.30 ( class_Int_Oring__char__0(T_a)
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 197.93/198.30 => 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)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I6_J,axiom,
% 197.93/198.30 ! [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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_UNIV__Plus__UNIV,axiom,
% 197.93/198.30 ! [T_b,T_a] : c_Sum__Type_OPlus(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat_Osize_I2_J,axiom,
% 197.93/198.30 ! [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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Plus__eq__empty__conv,axiom,
% 197.93/198.30 ! [V_B_2,V_A_2,T_b,T_a] :
% 197.93/198.30 ( c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))
% 197.93/198.30 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.30 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat_Osize_I4_J,axiom,
% 197.93/198.30 ! [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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_option_Osize_I4_J,axiom,
% 197.93/198.30 ! [V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),hAPP(c_Option_Ooption_OSome(T_a),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_option_Osize_I3_J,axiom,
% 197.93/198.30 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I12_J,axiom,
% 197.93/198.30 ! [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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat__size,axiom,
% 197.93/198.30 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__zless__mono,axiom,
% 197.93/198.30 ! [V_z,V_z_H,V_w,V_w_H] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zless__le,axiom,
% 197.93/198.30 ! [V_w_2,V_z_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 197.93/198.30 & V_z_2 != V_w_2 ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zless__linear,axiom,
% 197.93/198.30 ! [V_y,V_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 197.93/198.30 | V_x = V_y
% 197.93/198.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__strict__right__mono,axiom,
% 197.93/198.30 ! [V_k,V_j,V_i] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 197.93/198.30 => 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__assoc,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__left__commute,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__commute,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__left__mono,axiom,
% 197.93/198.30 ! [V_k,V_j,V_i] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 197.93/198.30 => 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zless__add1__eq,axiom,
% 197.93/198.30 ! [V_z_2,V_w_2] :
% 197.93/198.30 ( 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))))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 197.93/198.30 | V_w_2 = V_z_2 ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zle__diff1__eq,axiom,
% 197.93/198.30 ! [V_z_2,V_w_2] :
% 197.93/198.30 ( 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))))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zless__imp__add1__zle,axiom,
% 197.93/198.30 ! [V_z,V_w] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 197.93/198.30 => 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)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_add1__zle__eq,axiom,
% 197.93/198.30 ! [V_z_2,V_w_2] :
% 197.93/198.30 ( 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))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zle__add1__eq__le,axiom,
% 197.93/198.30 ! [V_z_2,V_w_2] :
% 197.93/198.30 ( 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))))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zminus__zadd__distrib,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__int__def__symmetric,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_diff__int__def,axiom,
% 197.93/198.30 ! [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)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zminus__zminus,axiom,
% 197.93/198.30 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zminus__0,axiom,
% 197.93/198.30 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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__zminus__inverse2,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_le__imp__0__less,axiom,
% 197.93/198.30 ! [V_z] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.30 => 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_int__one__le__iff__zero__less,axiom,
% 197.93/198.30 ! [V_z_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_int__0__less__1,axiom,
% 197.93/198.30 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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_odd__less__0,axiom,
% 197.93/198.30 ! [V_z_2] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_odd__nonzero,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_int__0__neq__1,axiom,
% 197.93/198.30 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__0,axiom,
% 197.93/198.30 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zadd__0__right,axiom,
% 197.93/198.30 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 197.93/198.30
% 197.93/198.30 fof(fact_less__bin__lemma,axiom,
% 197.93/198.30 ! [V_l_2,V_k_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 197.93/198.30 <=> 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat_Osize_I3_J,axiom,
% 197.93/198.30 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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I15_J,axiom,
% 197.93/198.30 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I9_J,axiom,
% 197.93/198.30 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nat_Osize_I1_J,axiom,
% 197.93/198.30 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_com_Osize_I14_J,axiom,
% 197.93/198.30 ! [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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_self__quotient__aux2,axiom,
% 197.93/198.30 ! [V_q,V_r,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.93/198.30 => ( 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))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_self__quotient__aux1,axiom,
% 197.93/198.30 ! [V_q,V_r,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.93/198.30 => ( 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))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 197.93/198.30 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 197.93/198.30 ( 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)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_unique__quotient__lemma__neg,axiom,
% 197.93/198.30 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__mono2__lemma,axiom,
% 197.93/198.30 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 197.93/198.30 ( 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)
% 197.93/198.30 => ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_unique__quotient__lemma,axiom,
% 197.93/198.30 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_q__neg__lemma,axiom,
% 197.93/198.30 ! [V_r_H,V_q_H,V_b_H] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zle__refl,axiom,
% 197.93/198.30 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zle__linear,axiom,
% 197.93/198.30 ! [V_w,V_z] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 197.93/198.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zle__trans,axiom,
% 197.93/198.30 ! [V_k,V_j,V_i] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zle__antisym,axiom,
% 197.93/198.30 ! [V_w,V_z] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 197.93/198.30 => V_z = V_w ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_q__pos__lemma,axiom,
% 197.93/198.30 ! [V_r_H,V_q_H,V_b_H] :
% 197.93/198.30 ( 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)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.93/198.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 197.93/198.30 ! [V_n,V_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.30 => 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))) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 197.93/198.30 ! [V_y,V_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 197.93/198.30 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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 197.93/198.30 ! [V_y,V_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 197.93/198.30 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))) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_int__power__div__base,axiom,
% 197.93/198.30 ! [V_k,V_m] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 197.93/198.30 => 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)))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__zero,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__zminus__zminus,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__zminus2,axiom,
% 197.93/198.30 ! [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) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__by__0,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__0,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__by__1,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 197.93/198.30 ! [V_y,V_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__neg__pos__less0,axiom,
% 197.93/198.30 ! [V_b,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 197.93/198.30 ! [V_a_2,V_b_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 197.93/198.30 ! [V_a_2,V_b_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__self,axiom,
% 197.93/198.30 ! [V_a] :
% 197.93/198.30 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.30 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__mult__mult1__if,axiom,
% 197.93/198.30 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => 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) )
% 197.93/198.30 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => 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) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__mult__self2__is__id,axiom,
% 197.93/198.30 ! [V_a,V_b,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => 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 ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__mult__self1__is__id,axiom,
% 197.93/198.30 ! [V_a,V_b,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => 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 ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__mult__mult2,axiom,
% 197.93/198.30 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => 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) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__mult__mult1,axiom,
% 197.93/198.30 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => 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) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__self,axiom,
% 197.93/198.30 ! [V_a,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__mono1__neg,axiom,
% 197.93/198.30 ! [V_b,V_a_H,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__mono1,axiom,
% 197.93/198.30 ! [V_b,V_a_H,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__neg__neg__trivial,axiom,
% 197.93/198.30 ! [V_b,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 197.93/198.30 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__mono2__neg,axiom,
% 197.93/198.30 ! [V_b,V_b_H,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__nonpos__pos__le0,axiom,
% 197.93/198.30 ! [V_b,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 197.93/198.30 ! [V_a_2,V_b_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__pos__pos__trivial,axiom,
% 197.93/198.30 ! [V_b,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.93/198.30 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__nonneg__neg__le0,axiom,
% 197.93/198.30 ! [V_b,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 => 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))) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__mono2,axiom,
% 197.93/198.30 ! [V_b,V_b_H,V_a] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.93/198.30 => 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))) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 197.93/198.30 ! [V_b_2,V_a_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 197.93/198.30 ! [V_i_2,V_k_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 197.93/198.30 ! [V_a_2,V_b_2] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 197.93/198.30 => ( 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)))
% 197.93/198.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__eq__0__iff,axiom,
% 197.93/198.30 ! [V_k_2,V_i_2] :
% 197.93/198.30 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.30 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 197.93/198.30 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_int__div__less__self,axiom,
% 197.93/198.30 ! [V_k,V_x] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 197.93/198.30 => 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)) ) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_zdiv__zmult2__eq,axiom,
% 197.93/198.30 ! [V_b,V_a,V_c] :
% 197.93/198.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.93/198.30 => 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) ) ).
% 197.93/198.30
% 197.93/198.30 fof(fact_div__mult__self2,axiom,
% 197.93/198.30 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.30 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.30 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.30 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mult__self1,axiom,
% 197.93/198.31 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__add__self2,axiom,
% 197.93/198.31 ! [V_a,V_b,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__add__self1,axiom,
% 197.93/198.31 ! [V_a,V_b,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__zdiv,axiom,
% 197.93/198.31 ! [V_k_2,V_n_2,V_P_2] :
% 197.93/198.31 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 197.93/198.31 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.93/198.31 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.93/198.31 => ! [B_i] :
% 197.93/198.31 ( ? [B_j] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 197.93/198.31 & 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) )
% 197.93/198.31 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 197.93/198.31 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => ! [B_i] :
% 197.93/198.31 ( ? [B_j] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 & 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) )
% 197.93/198.31 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divmod__int__rel__div__eq,axiom,
% 197.93/198.31 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 197.93/198.31 ( 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)
% 197.93/198.31 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 197.93/198.31 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_z3div__def,axiom,
% 197.93/198.31 ! [V_k,V_l] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.93/198.31 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.93/198.31 => 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))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_tsub__def,axiom,
% 197.93/198.31 ! [V_x,V_y] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 197.93/198.31 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 197.93/198.31 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setprod__diff1,axiom,
% 197.93/198.31 ! [V_a_2,V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.31 ( class_Fields_Ofield(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.31 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_b)
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.31 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.31 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setsum__nonneg__leq__bound,axiom,
% 197.93/198.31 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_a,T_b] :
% 197.93/198.31 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 197.93/198.31 => ( ! [B_i] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 197.93/198.31 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = V_B_2
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setsum__nonneg__0,axiom,
% 197.93/198.31 ! [V_i_2,V_f_2,V_s_2,T_a,T_b] :
% 197.93/198.31 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 197.93/198.31 => ( ! [B_i] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 197.93/198.31 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 197.93/198.31 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_ex__least__nat__less,axiom,
% 197.93/198.31 ! [V_n_2,V_P_2] :
% 197.93/198.31 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 197.93/198.31 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 197.93/198.31 => ? [B_k] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 197.93/198.31 & ! [B_i] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 197.93/198.31 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 197.93/198.31 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__zero__left,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__zero,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_add__divide__distrib,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_times__divide__eq__right,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_diff__divide__distrib,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__le__mono,axiom,
% 197.93/198.31 ! [V_k,V_n,V_m] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => 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))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__le__dividend,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__1,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_minus__divide__left,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mult2__eq,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_power__divide,axiom,
% 197.93/198.31 ! [V_n,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setsum__divide__distrib,axiom,
% 197.93/198.31 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Rings_Oinverse__class_Odivide(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_nonzero__eq__divide__eq,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)
% 197.93/198.31 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_nonzero__divide__eq__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_b_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2) = V_a_2
% 197.93/198.31 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__eq__imp,axiom,
% 197.93/198.31 ! [V_a,V_b,V_c,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 197.93/198.31 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_eq__divide__imp,axiom,
% 197.93/198.31 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 197.93/198.31 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__1,axiom,
% 197.93/198.31 ! [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 ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__less,axiom,
% 197.93/198.31 ! [V_n,V_m] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__self__if,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 197.93/198.31 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 197.93/198.31 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__self,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_right__inverse__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_b_2,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_a)
% 197.93/198.31 <=> V_a_2 = V_b_2 ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_nonzero__minus__divide__right,axiom,
% 197.93/198.31 ! [V_a,V_b,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_nonzero__minus__divide__divide,axiom,
% 197.93/198.31 ! [V_a,V_b,T_a] :
% 197.93/198.31 ( class_Rings_Odivision__ring(T_a)
% 197.93/198.31 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_nat__mult__div__cancel__disj,axiom,
% 197.93/198.31 ! [V_n,V_m,V_k] :
% 197.93/198.31 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 => 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) )
% 197.93/198.31 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_nonzero__power__divide,axiom,
% 197.93/198.31 ! [V_n,V_a,V_b,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_power__one__over,axiom,
% 197.93/198.31 ! [V_n,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setprod__dividef,axiom,
% 197.93/198.31 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.31 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__le__mono2,axiom,
% 197.93/198.31 ! [V_k,V_n,V_m] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => 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))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mult__self__is__m,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.31 => 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 ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mult__self1__is__m,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.31 => 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 ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_nat__mult__div__cancel1,axiom,
% 197.93/198.31 ! [V_n,V_m,V_k] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__less__dividend,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__if,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__geq,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.31 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__div,axiom,
% 197.93/198.31 ! [V_k_2,V_n_2,V_P_2] :
% 197.93/198.31 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 197.93/198.31 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.93/198.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 => ! [B_i,B_j] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 197.93/198.31 => ( 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)
% 197.93/198.31 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_power__diff,axiom,
% 197.93/198.31 ! [V_m,V_n,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_le__div__geq,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__div__lemma,axiom,
% 197.93/198.31 ! [V_m_2,V_q_2,V_n_2] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 197.93/198.31 => ( ( 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))
% 197.93/198.31 & 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)))) )
% 197.93/198.31 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__div_H,axiom,
% 197.93/198.31 ! [V_n_2,V_m_2,V_P_2] :
% 197.93/198.31 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 197.93/198.31 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.93/198.31 | ? [B_q] :
% 197.93/198.31 ( 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))
% 197.93/198.31 & 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))))
% 197.93/198.31 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 197.93/198.31 ! [V_y,V_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.31 => 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))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_tsub__eq,axiom,
% 197.93/198.31 ! [V_x,V_y] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 197.93/198.31 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__left__mono__neg,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 => 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))) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__left__mono,axiom,
% 197.93/198.31 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 => 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))) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_neg__divide__le__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_b_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),V_a_2))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_neg__le__divide__eq,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mult__imp__le__div__pos,axiom,
% 197.93/198.31 ! [V_x,V_z,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => ( 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))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mult__imp__div__pos__le,axiom,
% 197.93/198.31 ! [V_z,V_x,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_times__divide__times__eq,axiom,
% 197.93/198.31 ! [V_w,V_z,V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_minus__divide__divide,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_minus__divide__right,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zero__le__divide__iff,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( 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_a_2),V_b_2)))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 197.93/198.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__le__0__iff,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 197.93/198.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__right__mono,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__right__mono__neg,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__strict__right__mono__neg,axiom,
% 197.93/198.31 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__strict__right__mono,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__neg__neg,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__neg__pos,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__pos__neg,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__pos__pos,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__less__0__iff,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 197.93/198.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zero__less__divide__iff,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( 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_a_2),V_b_2)))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 197.93/198.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_eq__divide__eq,axiom,
% 197.93/198.31 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)
% 197.93/198.31 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2) = V_b_2 )
% 197.93/198.31 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__eq__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_c_2,V_b_2,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2) = V_a_2
% 197.93/198.31 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2) )
% 197.93/198.31 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mult__divide__mult__cancel__right,axiom,
% 197.93/198.31 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mult__divide__mult__cancel__left,axiom,
% 197.93/198.31 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_frac__eq__eq,axiom,
% 197.93/198.31 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2)
% 197.93/198.31 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__nonneg__pos,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__nonneg__neg,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_frac__less2,axiom,
% 197.93/198.31 ! [V_z,V_w,V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 197.93/198.31 => 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))) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_frac__less,axiom,
% 197.93/198.31 ! [V_z,V_w,V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 197.93/198.31 => 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))) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_frac__le,axiom,
% 197.93/198.31 ! [V_z,V_w,V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 197.93/198.31 => 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))) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__nonpos__pos,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__nonpos__neg,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_less__divide__eq,axiom,
% 197.93/198.31 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__less__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_c_2,V_b_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),V_a_2))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_pos__less__divide__eq,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_pos__divide__less__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_b_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),V_a_2))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mult__imp__div__pos__less,axiom,
% 197.93/198.31 ! [V_z,V_x,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mult__imp__less__div__pos,axiom,
% 197.93/198.31 ! [V_x,V_z,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.31 => ( 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))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_neg__less__divide__eq,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_neg__divide__less__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_b_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),V_a_2))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__strict__left__mono,axiom,
% 197.93/198.31 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 => 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))) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__strict__left__mono__neg,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 => 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))) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_add__num__frac,axiom,
% 197.93/198.31 ! [V_x,V_z,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_add__divide__eq__iff,axiom,
% 197.93/198.31 ! [V_y,V_x,V_z,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_add__frac__num,axiom,
% 197.93/198.31 ! [V_z,V_x,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.31 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__add__eq__iff,axiom,
% 197.93/198.31 ! [V_y,V_x,V_z,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_add__frac__eq,axiom,
% 197.93/198.31 ! [V_w,V_x,V_z,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_diff__frac__eq,axiom,
% 197.93/198.31 ! [V_w,V_x,V_z,V_y,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__diff__eq__iff,axiom,
% 197.93/198.31 ! [V_y,V_x,V_z,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_diff__divide__eq__iff,axiom,
% 197.93/198.31 ! [V_y,V_x,V_z,T_a] :
% 197.93/198.31 ( class_Fields_Ofield(T_a)
% 197.93/198.31 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_less__half__sum,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.31 => 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))))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_gt__half__sum,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_le__divide__eq,axiom,
% 197.93/198.31 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divide__le__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_c_2,V_b_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),V_a_2))
% 197.93/198.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_pos__le__divide__eq,axiom,
% 197.93/198.31 ! [V_b_2,V_a_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_pos__divide__le__eq,axiom,
% 197.93/198.31 ! [V_a_2,V_b_2,V_c_2,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),V_a_2))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setprod__Un,axiom,
% 197.93/198.31 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 197.93/198.31 ( class_Fields_Ofield(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.31 => ( ! [B_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.93/198.31 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_b) )
% 197.93/198.31 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setsum__mono__zero__right,axiom,
% 197.93/198.31 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 197.93/198.31 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.93/198.31 => ( ! [B_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.93/198.31 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.93/198.31 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setsum__mono__zero__left,axiom,
% 197.93/198.31 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 197.93/198.31 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.93/198.31 => ( ! [B_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.93/198.31 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.93/198.31 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_card__Pow,axiom,
% 197.93/198.31 ! [V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.31 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),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_a),V_A_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_field__le__mult__one__interval,axiom,
% 197.93/198.31 ! [V_y,V_x,T_a] :
% 197.93/198.31 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.31 => ( ! [B_z] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 197.93/198.31 => 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)) ) )
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__pos__lemma,axiom,
% 197.93/198.31 ! [V_n_2,V_P_2,V_k_2] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(V_P_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)))
% 197.93/198.31 <=> ! [B_i,B_j] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 197.93/198.31 & 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) )
% 197.93/198.31 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_PowI,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__not__empty,axiom,
% 197.93/198.31 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Cantors__paradox,axiom,
% 197.93/198.31 ! [V_A_2,T_a] :
% 197.93/198.31 ~ ? [B_f] : hAPP(c_Set_Oimage(T_a,tc_fun(T_a,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_a),V_A_2) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__top,axiom,
% 197.93/198.31 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mod__trivial,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__0,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__by__0,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__self,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__add__self2,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__add__self1,axiom,
% 197.93/198.31 ! [V_a,V_b,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__add__right__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__add__left__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__add__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__simps_I2_J,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__simps_I1_J,axiom,
% 197.93/198.31 ! [V_b,V_c,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__add__cong,axiom,
% 197.93/198.31 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 197.93/198.31 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 197.93/198.31 => 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) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__right__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__left__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__mult1,axiom,
% 197.93/198.31 ! [V_b,V_a,V_c,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__mult2,axiom,
% 197.93/198.31 ! [V_b,V_c,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__simps_I4_J,axiom,
% 197.93/198.31 ! [V_b,V_c,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__cong,axiom,
% 197.93/198.31 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 197.93/198.31 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 197.93/198.31 => 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) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__diff__cong,axiom,
% 197.93/198.31 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Oring__div(T_a)
% 197.93/198.31 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 197.93/198.31 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 197.93/198.31 => 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) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__diff__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Oring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__diff__left__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Oring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__diff__right__eq,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Oring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__minus__eq,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Oring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__minus__cong,axiom,
% 197.93/198.31 ! [V_a_H,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Oring__div(T_a)
% 197.93/198.31 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zero,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__self,axiom,
% 197.93/198.31 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zmult1__eq,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__simps_I3_J,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiff__zmod__left,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiff__zmod__right,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zminus2,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zminus__zminus,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zminus__zmod,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zpower__zmod,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__empty,axiom,
% 197.93/198.31 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__bottom,axiom,
% 197.93/198.31 ! [V_B_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Set_OPow(T_a),V_B_2))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_finite__Pow__iff,axiom,
% 197.93/198.31 ! [V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)))
% 197.93/198.31 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__insert,axiom,
% 197.93/198.31 ! [V_A_2,V_a_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_a),V_a_2)),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__mono,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_PowD,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__iff,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_image__Pow__surj,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] :
% 197.93/198.31 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_B_2
% 197.93/198.31 => hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(c_Set_OPow(T_a),V_B_2) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__UNIV,axiom,
% 197.93/198.31 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Un__Pow__subset,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Pow__Int__eq,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__self1__is__0,axiom,
% 197.93/198.31 ! [V_a,V_b,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__self2__is__0,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__self2,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__self1,axiom,
% 197.93/198.31 ! [V_b,V_c,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__by__1,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__div__trivial,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__le__nonneg__dividend,axiom,
% 197.93/198.31 ! [V_k,V_m] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 197.93/198.31 ! [V_y,V_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.31 => 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))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_pos__mod__bound,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_neg__mod__bound,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => 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))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__eq__0__iff,axiom,
% 197.93/198.31 ! [V_d_2,V_m_2] :
% 197.93/198.31 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zminus1__not__zero,axiom,
% 197.93/198.31 ! [V_l,V_k] :
% 197.93/198.31 ( 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)
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zminus2__not__zero,axiom,
% 197.93/198.31 ! [V_l,V_k] :
% 197.93/198.31 ( 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)
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zdiv__trivial,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_DIVISION__BY__ZERO,axiom,
% 197.93/198.31 ! [V_a] :
% 197.93/198.31 ( 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)
% 197.93/198.31 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiv__zadd1__eq,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_image__Pow__mono,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),V_B_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2))),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mod__equality,axiom,
% 197.93/198.31 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mod__equality2,axiom,
% 197.93/198.31 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__div__equality,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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 ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__div__equality2,axiom,
% 197.93/198.31 ! [V_a,V_b,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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 ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Divides_Osemiring__div(T_a)
% 197.93/198.31 => 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 ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_pos__mod__sign,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.93/198.31 => 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))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_pos__mod__conj,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 & 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__pos__pos__trivial,axiom,
% 197.93/198.31 ! [V_b,V_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_neg__mod__sign,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => 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))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_neg__mod__conj,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 & 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))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__neg__neg__trivial,axiom,
% 197.93/198.31 ! [V_b,V_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zminus2__eq__if,axiom,
% 197.93/198.31 ! [V_b,V_a] :
% 197.93/198.31 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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) )
% 197.93/198.31 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zminus1__eq__if,axiom,
% 197.93/198.31 ! [V_b,V_a] :
% 197.93/198.31 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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) )
% 197.93/198.31 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiv__zmod__equality2,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiv__zmod__equality,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiv__zmult1__eq,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zdiv__equality,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zdiv__equality_H,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmult__div__cancel,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__pos__neg__trivial,axiom,
% 197.93/198.31 ! [V_b,V_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.93/198.31 => ( 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)))
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_divmod__int__rel__mod__eq,axiom,
% 197.93/198.31 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 197.93/198.31 ( 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)
% 197.93/198.31 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 197.93/198.31 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmult2__lemma__aux2,axiom,
% 197.93/198.31 ! [V_q,V_r,V_b,V_c] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmult2__lemma__aux1,axiom,
% 197.93/198.31 ! [V_q,V_r,V_b,V_c] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmult2__lemma__aux4,axiom,
% 197.93/198.31 ! [V_q,V_b,V_r,V_c] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmult2__lemma__aux3,axiom,
% 197.93/198.31 ! [V_q,V_b,V_r,V_c] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.93/198.31 => 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))) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__zmod,axiom,
% 197.93/198.31 ! [V_k_2,V_n_2,V_P_2] :
% 197.93/198.31 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 197.93/198.31 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 197.93/198.31 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.93/198.31 => ! [B_i,B_j] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 197.93/198.31 & 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) )
% 197.93/198.31 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 197.93/198.31 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => ! [B_i,B_j] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 & 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) )
% 197.93/198.31 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zmod__zmult2__eq,axiom,
% 197.93/198.31 ! [V_b,V_a,V_c] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiv__zminus1__eq__if,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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)) )
% 197.93/198.31 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zdiv__zminus2__eq__if,axiom,
% 197.93/198.31 ! [V_a,V_b] :
% 197.93/198.31 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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)) )
% 197.93/198.31 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => 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)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__neg__lemma,axiom,
% 197.93/198.31 ! [V_n_2,V_P_2,V_k_2] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(V_P_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)))
% 197.93/198.31 <=> ! [B_i,B_j] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 197.93/198.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.31 & 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) )
% 197.93/198.31 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_z3mod__def,axiom,
% 197.93/198.31 ! [V_k,V_l] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.93/198.31 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Powp__Pow__eq,axiom,
% 197.93/198.31 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_a),V_A_2))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__if,axiom,
% 197.93/198.31 ! [V_x,T_a] :
% 197.93/198.31 ( class_Groups_Osgn__if(T_a)
% 197.93/198.31 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 197.93/198.31 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__1__neg,axiom,
% 197.93/198.31 ! [V_a_2,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__neg,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_zsgn__def,axiom,
% 197.93/198.31 ! [V_i] :
% 197.93/198.31 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.93/198.31 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 197.93/198.31 => 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)) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__sgn,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__less,axiom,
% 197.93/198.31 ! [V_n,V_m] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__less__eq__dividend,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__distrib,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__distrib2,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn0,axiom,
% 197.93/198.31 ! [T_a] :
% 197.93/198.31 ( class_Groups_Osgn__if(T_a)
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__0__0,axiom,
% 197.93/198.31 ! [V_a_2,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.31 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__times,axiom,
% 197.93/198.31 ! [V_b,V_a,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__1,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__Suc,axiom,
% 197.93/198.31 ! [V_n,V_m] :
% 197.93/198.31 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.31 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 197.93/198.31 => 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)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__less__divisor,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__eq__0__iff,axiom,
% 197.93/198.31 ! [V_d_2,V_m_2] :
% 197.93/198.31 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__if,axiom,
% 197.93/198.31 ! [V_n,V_m] :
% 197.93/198.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 197.93/198.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => 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) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__geq,axiom,
% 197.93/198.31 ! [V_n,V_m] :
% 197.93/198.31 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__self3,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_le__mod__geq,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__add1__eq,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__le__divisor,axiom,
% 197.93/198.31 ! [V_m,V_n] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.93/198.31 => 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)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult__self4,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__less,axiom,
% 197.93/198.31 ! [V_a_2,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__greater,axiom,
% 197.93/198.31 ! [V_a_2,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Osgn__class_Osgn(T_a,V_a_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__mult2__eq,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mult1__eq,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_div__mod__equality_H,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mult__div__cancel,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Divides_Omod__div__equality_H,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Powp__mono,axiom,
% 197.93/198.31 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_a,V_A_2)),c_Predicate_OPowp(T_a,V_B_2))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_split__mod,axiom,
% 197.93/198.31 ! [V_k_2,V_n_2,V_P_2] :
% 197.93/198.31 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 197.93/198.31 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 197.93/198.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.31 => ! [B_i,B_j] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 197.93/198.31 => ( 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)
% 197.93/198.31 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_mod__lemma,axiom,
% 197.93/198.31 ! [V_q,V_b,V_r,V_c] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 197.93/198.31 => 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))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Suc__times__mod__eq,axiom,
% 197.93/198.31 ! [V_m,V_k] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 197.93/198.31 => 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) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__1__pos,axiom,
% 197.93/198.31 ! [V_a_2,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a)
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_sgn__pos,axiom,
% 197.93/198.31 ! [V_a,T_a] :
% 197.93/198.31 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.31 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setprod__pos__nat,axiom,
% 197.93/198.31 ! [V_f_2,V_S_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.31 => ( ! [B_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 197.93/198.31 => 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))) )
% 197.93/198.31 => 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_a,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_arith__series__nat,axiom,
% 197.93/198.31 ! [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)))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_finite__map__freshness,axiom,
% 197.93/198.31 ! [V_f_2,T_b,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,V_f_2)))
% 197.93/198.31 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 197.93/198.31 => ? [B_x] : hAPP(V_f_2,B_x) = c_Option_Ooption_ONone(T_b) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setsum__SucD,axiom,
% 197.93/198.31 ! [V_n_2,V_A_2,V_f_2,T_a] :
% 197.93/198.31 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 197.93/198.31 => ? [B_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.31 & 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))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osize_I13_J,axiom,
% 197.93/198.31 ! [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))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osize_I5_J,axiom,
% 197.93/198.31 ! [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))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_finite__lessThan,axiom,
% 197.93/198.31 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_WTs__elim__cases_I5_J,axiom,
% 197.93/198.31 ! [V_c2_2,V_c1_2,V_b_2] :
% 197.93/198.31 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)))
% 197.93/198.31 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 197.93/198.31 => ~ hBOOL(hAPP(c_Com_OWT,V_c2_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_lessThan__Suc,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_lessThan__0,axiom,
% 197.93/198.31 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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_lessThan__eq__iff,axiom,
% 197.93/198.31 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.31 ( class_Orderings_Olinorder(T_a)
% 197.93/198.31 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)
% 197.93/198.31 <=> V_x_2 = V_y_2 ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I4_J,axiom,
% 197.93/198.31 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 197.93/198.31 ( 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)
% 197.93/198.31 <=> ( V_fun_2 = V_fun_H_2
% 197.93/198.31 & V_com1_2 = V_com1_H_2
% 197.93/198.31 & V_com2_2 = V_com2_H_2 ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_card__lessThan,axiom,
% 197.93/198.31 ! [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 ).
% 197.93/198.31
% 197.93/198.31 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 197.93/198.31 ! [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))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I55_J,axiom,
% 197.93/198.31 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I54_J,axiom,
% 197.93/198.31 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_WT_OIf,axiom,
% 197.93/198.31 ! [V_b_2,V_c1_2,V_c0_2] :
% 197.93/198.31 ( hBOOL(hAPP(c_Com_OWT,V_c0_2))
% 197.93/198.31 => ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 197.93/198.31 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2))) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_WT_Oequations_I5_J,axiom,
% 197.93/198.31 ! [V_a2_2,V_a1_2,V_a3_2] :
% 197.93/198.31 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2)))
% 197.93/198.31 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 197.93/198.31 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I53_J,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I52_J,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I44_J,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I45_J,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I14_J,axiom,
% 197.93/198.31 ! [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) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_com_Osimps_I15_J,axiom,
% 197.93/198.31 ! [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 ).
% 197.93/198.31
% 197.93/198.31 fof(fact_lessThan__iff,axiom,
% 197.93/198.31 ! [V_k_2,V_i_2,T_a] :
% 197.93/198.31 ( class_Orderings_Oord(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_i_2),V_k_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_lessThan__subset__iff,axiom,
% 197.93/198.31 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.31 ( class_Orderings_Olinorder(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_setsum__lessThan__Suc,axiom,
% 197.93/198.31 ! [V_n_2,V_f_2,T_a] :
% 197.93/198.31 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_lessThan__strict__subset__iff,axiom,
% 197.93/198.31 ! [V_n_2,V_m_2,T_a] :
% 197.93/198.31 ( class_Orderings_Olinorder(T_a)
% 197.93/198.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_n_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_n_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_single__Diff__lessThan,axiom,
% 197.93/198.31 ! [V_k_2,T_a] :
% 197.93/198.31 ( class_Orderings_Oorder(T_a)
% 197.93/198.31 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_finite__nat__set__iff__bounded,axiom,
% 197.93/198.31 ! [V_N_2] :
% 197.93/198.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 197.93/198.31 <=> ? [B_m] :
% 197.93/198.31 ! [B_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 197.93/198.31 ! [V_N_2] :
% 197.93/198.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 197.93/198.31 <=> ? [B_m] :
% 197.93/198.31 ! [B_x] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 197.93/198.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_arith__series__general,axiom,
% 197.93/198.31 ! [V_n_2,V_d_2,V_a_2,T_a] :
% 197.93/198.31 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.93/198.31 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_a)),c_Nat_Osemiring__1__class_Oof__nat(T_a))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_ord_OatMost__iff,axiom,
% 197.93/198.31 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatMost(T_a,V_less__eq_2,V_k_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_ord_OatLeast__iff,axiom,
% 197.93/198.31 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeast(T_a,V_less__eq_2,V_k_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_ord_OlessThan__iff,axiom,
% 197.93/198.31 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OlessThan(T_a,V_less_2,V_k_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_ord_OgreaterThan__iff,axiom,
% 197.93/198.31 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThan(T_a,V_less_2,V_k_2)))
% 197.93/198.31 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 197.93/198.31 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_a] :
% 197.93/198.31 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_a,V_less__eq_2,V_l_2,V_u_2)))
% 197.93/198.31 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 197.93/198.31 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_negative__zle,axiom,
% 197.93/198.31 ! [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))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_negative__zless,axiom,
% 197.93/198.31 ! [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))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_of__nat__eq__iff,axiom,
% 197.93/198.31 ! [V_n_2,V_m_2,T_a] :
% 197.93/198.31 ( class_Nat_Osemiring__char__0(T_a)
% 197.93/198.31 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)
% 197.93/198.31 <=> V_m_2 = V_n_2 ) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 197.93/198.31 ! [V_A_2] :
% 197.93/198.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 197.93/198.31 <=> 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))) ) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 197.93/198.31 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))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_infinite__UNIV__nat,axiom,
% 197.93/198.31 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 197.93/198.31 ! [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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_int__setsum,axiom,
% 197.93/198.31 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_int__setprod,axiom,
% 197.93/198.31 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 197.93/198.31 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)) ).
% 197.93/198.31
% 197.93/198.31 fof(fact_int__eq__0__conv,axiom,
% 197.93/198.31 ! [V_n_2] :
% 197.93/198.32 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.32 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__0,axiom,
% 197.93/198.32 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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 197.93/198.32 ! [V_P_2] :
% 197.93/198.32 ( ! [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.93/198.32 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 197.93/198.32 ! [V_P_2] :
% 197.93/198.32 ( ? [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.93/198.32 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.93/198.32 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zero__zle__int,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__less__0__conv,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zless__int,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zle__int,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zadd__int,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zadd__int__left,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zle__iff__zadd,axiom,
% 197.93/198.32 ! [V_z_2,V_w_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 197.93/198.32 <=> ? [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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zero__le__imp__of__nat,axiom,
% 197.93/198.32 ! [V_m,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__0__le__iff,axiom,
% 197.93/198.32 ! [V_n,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_negative__eq__positive,axiom,
% 197.93/198.32 ! [V_m_2,V_n_2] :
% 197.93/198.32 ( 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)
% 197.93/198.32 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.32 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__less__0__iff,axiom,
% 197.93/198.32 ! [V_m,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => ~ 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_not__int__zless__negative,axiom,
% 197.93/198.32 ! [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)))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__mult,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zmult__int,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__0,axiom,
% 197.93/198.32 ! [T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => 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) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__less__imp__less,axiom,
% 197.93/198.32 ! [V_n,V_m,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => ( 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)))
% 197.93/198.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_less__imp__of__nat__less,axiom,
% 197.93/198.32 ! [V_n,V_m,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.93/198.32 => 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))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__less__iff,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 197.93/198.32 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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__1,axiom,
% 197.93/198.32 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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__le__iff,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__add,axiom,
% 197.93/198.32 ! [V_n,V_m,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__mult,axiom,
% 197.93/198.32 ! [V_n,V_m,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zmod__int,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zdiv__int,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__1,axiom,
% 197.93/198.32 ! [T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => 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) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Ints__of__nat,axiom,
% 197.93/198.32 ! [V_n_2,T_a] :
% 197.93/198.32 ( class_Rings_Oring__1(T_a)
% 197.93/198.32 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__power,axiom,
% 197.93/198.32 ! [V_n,V_m,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => 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) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zpower__int,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__power,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__setsum,axiom,
% 197.93/198.32 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__le__0__conv,axiom,
% 197.93/198.32 ! [V_n_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__Suc0__eq__1,axiom,
% 197.93/198.32 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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zless__iff__Suc__zadd,axiom,
% 197.93/198.32 ! [V_z_2,V_w_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 197.93/198.32 <=> ? [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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__zle__neg,axiom,
% 197.93/198.32 ! [V_m_2,V_n_2] :
% 197.93/198.32 ( 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))))
% 197.93/198.32 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.32 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__Suc,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_negative__zle__0,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zdiff__int,axiom,
% 197.93/198.32 ! [V_m,V_n] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__setprod,axiom,
% 197.93/198.32 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.32 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.93/198.32 & class_Rings_Osemiring__1(T_a) )
% 197.93/198.32 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__Suc,axiom,
% 197.93/198.32 ! [V_m,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__diff,axiom,
% 197.93/198.32 ! [V_m,V_n,T_a] :
% 197.93/198.32 ( class_Rings_Oring__1(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__constant,axiom,
% 197.93/198.32 ! [V_A_2,V_y_2,T_b,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_y_2) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zero__less__int__conv,axiom,
% 197.93/198.32 ! [V_n_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zmult__zless__mono2__lemma,axiom,
% 197.93/198.32 ! [V_k,V_j,V_i] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.93/198.32 => 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))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_not__zle__0__negative,axiom,
% 197.93/198.32 ! [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))))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_negative__zless__0,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__0__less__iff,axiom,
% 197.93/198.32 ! [V_n_2,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__semidom(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zdiff__int__split,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,V_P_2] :
% 197.93/198.32 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 197.93/198.32 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 197.93/198.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 197.93/198.32 ! [V_n_2,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_Groups_Oone__class_Oone(T_a)),V_n_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__bounded,axiom,
% 197.93/198.32 ! [V_K_2,V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.32 ( ( class_Groups_Oordered__ab__semigroup__add(T_b)
% 197.93/198.32 & class_Rings_Osemiring__1(T_b) )
% 197.93/198.32 => ( ! [B_i] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_A_2))
% 197.93/198.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_i)),V_K_2)) )
% 197.93/198.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))),V_K_2))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 197.93/198.32 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 197.93/198.32 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 197.93/198.32 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 197.93/198.32 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_a] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_a,V_less_2,V_l_2,V_u_2)))
% 197.93/198.32 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 197.93/198.32 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__int__eq,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2] :
% 197.93/198.32 ( 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)
% 197.93/198.32 <=> V_m_2 = V_n_2 ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2] :
% 197.93/198.32 ( 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)
% 197.93/198.32 <=> V_x_2 = V_y_2 ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 197.93/198.32 ! [V_B_2,V_A_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.32 <=> 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 197.93/198.32 ! [V_B_2,V_A_2] :
% 197.93/198.32 ( V_A_2 = V_B_2
% 197.93/198.32 <=> 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) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 197.93/198.32 ! [V_A_2,V_x_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 197.93/198.32 <=> 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 197.93/198.32 ! [V_B_2,V_A_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.32 <=> 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_infinite__UNIV__int,axiom,
% 197.93/198.32 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 197.93/198.32 ! [V_i_2,V_inc_2,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 197.93/198.32 ! [V_i_2,V_n_2,V_inc_2,T_a] :
% 197.93/198.32 ( class_Rings_Osemiring__1(T_a)
% 197.93/198.32 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 197.93/198.32 ! [V_x_2,V_y_2,V_c_2] :
% 197.93/198.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 197.93/198.32 => 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)) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 197.93/198.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 197.93/198.32 => 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))) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 197.93/198.32 => 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)) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThan__0,axiom,
% 197.93/198.32 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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_sum__diff__distrib,axiom,
% 197.93/198.32 ! [V_n_2,V_P_2,V_Q_2] :
% 197.93/198.32 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x)))
% 197.93/198.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_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_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__natinterval__difff,axiom,
% 197.93/198.32 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Groups_Oab__group__add(T_a)
% 197.93/198.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_a),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)))) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_a) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_gauss__sum,axiom,
% 197.93/198.32 ! [V_n_2,T_a] :
% 197.93/198.32 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.93/198.32 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),c_Nat_Osemiring__1__class_Oof__nat(T_a)),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_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__atLeastLessThan,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__atLeastAtMost,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThan__eq__iff,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)
% 197.93/198.32 <=> V_x_2 = V_y_2 ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I21_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I15_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I7_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__eq__iff,axiom,
% 197.93/198.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_d_2))
% 197.93/198.32 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_c_2),V_d_2)
% 197.93/198.32 <=> ( V_a_2 = V_c_2
% 197.93/198.32 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 197.93/198.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_c_2),V_d_2)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_d_2))
% 197.93/198.32 => V_a_2 = V_c_2 ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 197.93/198.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_c_2),V_d_2)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_d_2))
% 197.93/198.32 => V_b_2 = V_d_2 ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__add__Un,axiom,
% 197.93/198.32 ! [V_k_2,V_j_2,V_i_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.93/198.32 => 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan0,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeast0LessThan,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I6_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_subset__card__intvl__is__intvl,axiom,
% 197.93/198.32 ! [V_k_2,V_A_2] :
% 197.93/198.32 ( 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)))))
% 197.93/198.32 => 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__atLeastLessThan,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastatMost__empty__iff,axiom,
% 197.93/198.32 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.32 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastatMost__empty__iff2,axiom,
% 197.93/198.32 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)
% 197.93/198.32 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastatMost__empty,axiom,
% 197.93/198.32 ! [V_a_2,V_b_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2))
% 197.93/198.32 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastatMost__subset__iff,axiom,
% 197.93/198.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_c_2,V_d_2)))
% 197.93/198.32 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 197.93/198.32 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c_2),V_a_2))
% 197.93/198.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__Suc__atLeastLessThan,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__empty,axiom,
% 197.93/198.32 ! [V_a_2,V_b_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 197.93/198.32 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastAtMost__singleton_H,axiom,
% 197.93/198.32 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( V_a_2 = V_b_2
% 197.93/198.32 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 197.93/198.32 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 197.93/198.32 <=> ( V_a_2 = V_b_2
% 197.93/198.32 & V_b_2 = V_c_2 ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastAtMost__singleton,axiom,
% 197.93/198.32 ! [V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 197.93/198.32 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)
% 197.93/198.32 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__empty__iff,axiom,
% 197.93/198.32 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.32 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__subset__iff,axiom,
% 197.93/198.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_c_2),V_d_2)))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 197.93/198.32 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c_2),V_a_2))
% 197.93/198.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I17_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 197.93/198.32 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__uminus__atLeastAtMost,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.32 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__diff,axiom,
% 197.93/198.32 ! [V_m_2,V_n_2,V_i_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_n_2))
% 197.93/198.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_n_2),V_m_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I11_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__Suc__atLeastAtMost,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 197.93/198.32 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__add__atLeastLessThan,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__add__atLeastAtMost,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__add__nat__ivl,axiom,
% 197.93/198.32 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 197.93/198.32 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__diff__nat__ivl,axiom,
% 197.93/198.32 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Groups_Oab__group__add(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 197.93/198.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThan__iff,axiom,
% 197.93/198.32 ! [V_k_2,V_i_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oord(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_i_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThan__subset__iff,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__atLeastAtMost,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastAtMostSuc__conv,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThan__singleton,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 197.93/198.32 ! [V_k_2,V_f_2] :
% 197.93/198.32 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastatMost__psubset__iff,axiom,
% 197.93/198.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_c_2,V_d_2)))
% 197.93/198.32 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 197.93/198.32 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c_2),V_a_2))
% 197.93/198.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2))
% 197.93/198.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_a_2))
% 197.93/198.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_d_2)) ) ) )
% 197.93/198.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c_2),V_d_2)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I4_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I8_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I2_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 197.93/198.32 ! [V_k_2,V_f_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__head__upt__Suc,axiom,
% 197.93/198.32 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__head__Suc,axiom,
% 197.93/198.32 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThanSuc,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2] :
% 197.93/198.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => 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)) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__op__ivl__Suc,axiom,
% 197.93/198.32 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__uminus__greaterThan,axiom,
% 197.93/198.32 ! [V_x_2,T_a] :
% 197.93/198.32 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.32 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__uminus__lessThan,axiom,
% 197.93/198.32 ! [V_x_2,T_a] :
% 197.93/198.32 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.32 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThan__Suc,axiom,
% 197.93/198.32 ! [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)))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__cl__ivl__Suc,axiom,
% 197.93/198.32 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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))) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__ub__add__nat,axiom,
% 197.93/198.32 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( 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))))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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)))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_geometric__sum,axiom,
% 197.93/198.32 ! [V_n_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Fields_Ofield(T_a)
% 197.93/198.32 => ( V_x_2 != c_Groups_Oone__class_Oone(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_Power_Opower__class_Opower(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x_2),c_Groups_Oone__class_Oone(T_a))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_all__nat__less,axiom,
% 197.93/198.32 ! [V_P_2,V_n_2] :
% 197.93/198.32 ( ! [B_m] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,B_m)) )
% 197.93/198.32 <=> ! [B_x] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ex__nat__less,axiom,
% 197.93/198.32 ! [V_P_2,V_n_2] :
% 197.93/198.32 ( ? [B_m] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 197.93/198.32 & hBOOL(hAPP(V_P_2,B_m)) )
% 197.93/198.32 <=> ? [B_x] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ex__nat__less__eq,axiom,
% 197.93/198.32 ! [V_P_2,V_n_2] :
% 197.93/198.32 ( ? [B_m] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 197.93/198.32 & hBOOL(hAPP(V_P_2,B_m)) )
% 197.93/198.32 <=> ? [B_x] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_all__nat__less__eq,axiom,
% 197.93/198.32 ! [V_P_2,V_n_2] :
% 197.93/198.32 ( ! [B_m] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,B_m)) )
% 197.93/198.32 <=> ! [B_x] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I18_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__greaterThanLessThan,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__atLeastAtMost__int,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__atLeastLessThan__int,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__greaterThanLessThan__int,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThanLessThan__empty,axiom,
% 197.93/198.32 ! [V_k_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 197.93/198.32 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.32 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__add__int__atLeastLessThan,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I13_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I12_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I9_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__greaterThanLessThan,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_simp__from__to,axiom,
% 197.93/198.32 ! [V_i_2,V_j_2] :
% 197.93/198.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 197.93/198.32 => 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)) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I15_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I3_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_bset_I8_J,axiom,
% 197.93/198.32 ! [V_B_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( 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))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 197.93/198.32 => 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))) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_aset_I6_J,axiom,
% 197.93/198.32 ! [V_A_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( 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))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 197.93/198.32 => 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)) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_aset_I4_J,axiom,
% 197.93/198.32 ! [V_A_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( B_x != V_t_2
% 197.93/198.32 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_bset_I4_J,axiom,
% 197.93/198.32 ! [V_B_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( B_x != V_t_2
% 197.93/198.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_bset_I7_J,axiom,
% 197.93/198.32 ! [V_B_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 197.93/198.32 => 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))) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_bset_I3_J,axiom,
% 197.93/198.32 ! [V_B_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( 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))
% 197.93/198.32 => ( ! [B_x] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xa] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 197.93/198.32 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 197.93/198.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_aset_I3_J,axiom,
% 197.93/198.32 ! [V_A_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( 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))
% 197.93/198.32 => ( ! [B_x] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xa] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 197.93/198.32 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 197.93/198.32 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_aset_I5_J,axiom,
% 197.93/198.32 ! [V_A_2,V_t_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 197.93/198.32 => 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)) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_bset_I6_J,axiom,
% 197.93/198.32 ! [V_t_2,V_B_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 197.93/198.32 => 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)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_aset_I8_J,axiom,
% 197.93/198.32 ! [V_t_2,V_A_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 197.93/198.32 => 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))) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_periodic__finite__ex,axiom,
% 197.93/198.32 ! [V_P_2,V_d_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 197.93/198.32 => ( ! [B_x,B_k] :
% 197.93/198.32 ( hBOOL(hAPP(V_P_2,B_x))
% 197.93/198.32 <=> hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 197.93/198.32 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.93/198.32 <=> ? [B_x] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_aset_I7_J,axiom,
% 197.93/198.32 ! [V_t_2,V_A_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 197.93/198.32 => 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))) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_bset_I5_J,axiom,
% 197.93/198.32 ! [V_t_2,V_B_2,V_D_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( ! [B_xa] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 => ! [B_xb] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.93/198.32 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 197.93/198.32 => 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)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeast__Suc,axiom,
% 197.93/198.32 ! [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)))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I19_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__greaterThanAtMost,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_finite__greaterThanAtMost__int,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeast__eq__iff,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)
% 197.93/198.32 <=> V_x_2 = V_y_2 ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThanAtMost__empty,axiom,
% 197.93/198.32 ! [V_k_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 197.93/198.32 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 197.93/198.32 ! [V_l_2,V_k_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2)
% 197.93/198.32 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 197.93/198.32 ! [V_l_2,V_k_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.32 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I20_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I14_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeast__iff,axiom,
% 197.93/198.32 ! [V_k_2,V_i_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oord(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_k_2),V_i_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeast__subset__iff,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__greaterThanAtMost,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeast__0,axiom,
% 197.93/198.32 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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Compl__lessThan,axiom,
% 197.93/198.32 ! [V_k_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Compl__atLeast,axiom,
% 197.93/198.32 ! [V_k_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeast__Suc__greaterThan,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I22_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I16_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.32 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__uminus__atLeastLessThan,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.32 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.32 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I10_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I11_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I5_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I14_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I8_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__int_I6_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Oorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I16_J,axiom,
% 197.93/198.32 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_setsum__head,axiom,
% 197.93/198.32 ! [V_P_2,V_n_2,V_m_2,T_a] :
% 197.93/198.32 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I1_J,axiom,
% 197.93/198.32 ! [V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I13_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I12_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I5_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ivl__disj__un_I4_J,axiom,
% 197.93/198.32 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.32 ( class_Orderings_Olinorder(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 197.93/198.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 197.93/198.32 ! [V_u_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 197.93/198.32 => 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_decr__mult__lemma,axiom,
% 197.93/198.32 ! [V_k_2,V_P_2,V_d_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 197.93/198.32 => ( ! [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(V_P_2,B_x))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(V_P_2,B_x))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_negD,axiom,
% 197.93/198.32 ! [V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.32 => ? [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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_incr__mult__lemma,axiom,
% 197.93/198.32 ! [V_k_2,V_P_2,V_d_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 197.93/198.32 => ( ! [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(V_P_2,B_x))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.93/198.32 => ! [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(V_P_2,B_x))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zero__less__imp__eq__int,axiom,
% 197.93/198.32 ! [V_k] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 197.93/198.32 => ? [B_n] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 197.93/198.32 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__int,axiom,
% 197.93/198.32 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__0,axiom,
% 197.93/198.32 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 197.93/198.32 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_eq__nat__nat__iff,axiom,
% 197.93/198.32 ! [V_z_H_2,V_z_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 197.93/198.32 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 197.93/198.32 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_ex__nat,axiom,
% 197.93/198.32 ! [V_P_2] :
% 197.93/198.32 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.93/198.32 <=> ? [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.93/198.32 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_all__nat,axiom,
% 197.93/198.32 ! [V_P_2] :
% 197.93/198.32 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.93/198.32 <=> ! [B_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 197.93/198.32 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 197.93/198.32 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 197.93/198.32 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 197.93/198.32 ! [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 ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__greaterThanAtMost__int,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 197.93/198.32 ! [V_A_2,V_f_2,T_a] :
% 197.93/198.32 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 & class_Groups_Ocomm__monoid__mult(T_a) )
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 197.93/198.32 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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__0__iff,axiom,
% 197.93/198.32 ! [V_i_2] :
% 197.93/198.32 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__le__0,axiom,
% 197.93/198.32 ! [V_z] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.32 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__mono__iff,axiom,
% 197.93/198.32 ! [V_w_2,V_z_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 197.93/198.32 => ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zless__nat__conj,axiom,
% 197.93/198.32 ! [V_z_2,V_w_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 197.93/198.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 197.93/198.32 => ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__1,axiom,
% 197.93/198.32 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__nat__eq,axiom,
% 197.93/198.32 ! [V_z] :
% 197.93/198.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.32 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.32 => 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) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_int__eq__iff,axiom,
% 197.93/198.32 ! [V_z_2,V_m_2] :
% 197.93/198.32 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 197.93/198.32 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 197.93/198.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__0__le,axiom,
% 197.93/198.32 ! [V_z] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.32 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zless__nat__eq__int__zless,axiom,
% 197.93/198.32 ! [V_z_2,V_m_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 197.93/198.32 <=> 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__zminus__int,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 197.93/198.32 ! [V_A_2,V_f_2,T_a] :
% 197.93/198.32 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.32 & class_Groups_Ocomm__monoid__mult(T_a) )
% 197.93/198.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__atLeastLessThan__int,axiom,
% 197.93/198.32 ! [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)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_zero__less__nat__eq,axiom,
% 197.93/198.32 ! [V_z_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__less__eq__zless,axiom,
% 197.93/198.32 ! [V_z_2,V_w_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.93/198.32 => ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 197.93/198.32 => ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__eq__iff,axiom,
% 197.93/198.32 ! [V_m_2,V_w_2] :
% 197.93/198.32 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 197.93/198.32 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.93/198.32 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.93/198.32 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__eq__iff2,axiom,
% 197.93/198.32 ! [V_w_2,V_m_2] :
% 197.93/198.32 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 197.93/198.32 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.93/198.32 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.93/198.32 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__le__eq__zle,axiom,
% 197.93/198.32 ! [V_z_2,V_w_2] :
% 197.93/198.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.93/198.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 197.93/198.32 => ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_split__nat,axiom,
% 197.93/198.32 ! [V_i_2,V_P_2] :
% 197.93/198.32 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 197.93/198.32 <=> ( ! [B_n] :
% 197.93/198.32 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 197.93/198.32 => hBOOL(hAPP(V_P_2,B_n)) )
% 197.93/198.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.32 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__add__distrib,axiom,
% 197.93/198.32 ! [V_z_H,V_z] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__mult__distrib,axiom,
% 197.93/198.32 ! [V_z_H,V_z] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__diff__distrib,axiom,
% 197.93/198.32 ! [V_z,V_z_H] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 197.93/198.32 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__mod__distrib,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__div__distrib,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 197.93/198.32 ! [V_n,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__power__eq,axiom,
% 197.93/198.32 ! [V_n,V_z] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.32 => 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) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 197.93/198.32 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_one__less__nat__eq,axiom,
% 197.93/198.32 ! [V_z_2] :
% 197.93/198.32 ( 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)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__less__iff,axiom,
% 197.93/198.32 ! [V_m_2,V_w_2] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 197.93/198.32 <=> 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))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 197.93/198.32 ! [V_z] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.32 => 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)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__mult__distrib__neg,axiom,
% 197.93/198.32 ! [V_z_H,V_z] :
% 197.93/198.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.32 => 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))) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__atLeastAtMost__int,axiom,
% 197.93/198.32 ! [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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_card__greaterThanLessThan__int,axiom,
% 197.93/198.32 ! [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)))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_nat__aux__def,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__morphism__nat__int,axiom,
% 197.93/198.32 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))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 197.93/198.32 ! [V_n_2,V_m_2] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 197.93/198.32 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 197.93/198.32 => 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))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__int__of__nat,axiom,
% 197.93/198.32 ! [V_k,T_a] :
% 197.93/198.32 ( class_Rings_Oring__1(T_a)
% 197.93/198.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.32 => 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)))) )
% 197.93/198.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.32 => 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)) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 197.93/198.32 ! [V_B_2,V_A_2] :
% 197.93/198.32 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.32 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.32 => 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))) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 197.93/198.32 ! [V_B_2,V_A_2] :
% 197.93/198.32 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.32 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__int__eq__iff,axiom,
% 197.93/198.32 ! [V_z_2,V_w_2,T_a] :
% 197.93/198.32 ( class_Int_Oring__char__0(T_a)
% 197.93/198.32 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 197.93/198.32 <=> V_w_2 = V_z_2 ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 197.93/198.32 ! [V_B_2,V_A_2] :
% 197.93/198.32 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.32 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.32 => 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)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 197.93/198.32 ! [V_x_2,V_A_2] :
% 197.93/198.32 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 197.93/198.32 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 197.93/198.32 ! [V_y_2,V_x_2] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 197.93/198.32 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__int__int__eq,axiom,
% 197.93/198.32 ! [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) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 197.93/198.32 ! [V_B_2,V_A_2] :
% 197.93/198.32 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.32 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.32 => ( V_A_2 = V_B_2
% 197.93/198.32 <=> 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) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 197.93/198.32 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.93/198.32 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.93/198.32 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 197.93/198.32 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 197.93/198.32 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.93/198.32 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.93/198.32 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.93/198.32 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.93/198.32 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.93/198.32 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.93/198.32 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 197.93/198.32 ! [V_n,V_x] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.93/198.32 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 197.93/198.32 ! [V_y,V_x] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.93/198.32 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.93/198.32 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 197.93/198.32 ! [V_A_2,V_x_2] :
% 197.93/198.32 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 197.93/198.32 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 197.93/198.32 <=> 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))) ) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__int__eq__0__iff,axiom,
% 197.93/198.32 ! [V_z_2,T_a] :
% 197.93/198.32 ( class_Int_Oring__char__0(T_a)
% 197.93/198.32 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.32 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__int__0__eq__iff,axiom,
% 197.93/198.32 ! [V_z_2,T_a] :
% 197.93/198.32 ( class_Int_Oring__char__0(T_a)
% 197.93/198.32 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 197.93/198.32 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__int__0,axiom,
% 197.93/198.32 ! [T_a] :
% 197.93/198.32 ( class_Rings_Oring__1(T_a)
% 197.93/198.32 => 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) ) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 197.93/198.32 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 197.93/198.32
% 197.93/198.32 fof(fact_of__int__le__iff,axiom,
% 197.93/198.32 ! [V_z_2,V_w_2,T_a] :
% 197.93/198.32 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 197.93/198.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.93/198.32
% 197.93/198.33 fof(fact_of__int__less__iff,axiom,
% 197.93/198.33 ! [V_z_2,V_w_2,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__add,axiom,
% 197.93/198.33 ! [V_z,V_w,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__mult,axiom,
% 197.93/198.33 ! [V_z,V_w,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__1,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__diff,axiom,
% 197.93/198.33 ! [V_z,V_w,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__of__nat__eq,axiom,
% 197.93/198.33 ! [V_n,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__minus,axiom,
% 197.93/198.33 ! [V_z,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Ints__of__int,axiom,
% 197.93/198.33 ! [V_z_2,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__power,axiom,
% 197.93/198.33 ! [V_n,V_z,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nat__set__def,axiom,
% 197.93/198.33 ! [V_S_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_S_2)
% 197.93/198.33 <=> ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_is__nat__def,axiom,
% 197.93/198.33 ! [V_x_2] :
% 197.93/198.33 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 197.93/198.33 ! [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)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 197.93/198.33 ! [V_f_2,V_A_2,T_a] :
% 197.93/198.33 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.33 & class_Groups_Ocomm__monoid__mult(T_a) )
% 197.93/198.33 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__setsum,axiom,
% 197.93/198.33 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__setprod,axiom,
% 197.93/198.33 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.33 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.93/198.33 & class_Rings_Oring__1(T_a) )
% 197.93/198.33 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.93/198.33 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 197.93/198.33 ! [V_A_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => 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 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.33 => 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))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__0__le__iff,axiom,
% 197.93/198.33 ! [V_z_2,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__le__0__iff,axiom,
% 197.93/198.33 ! [V_z_2,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__less__0__iff,axiom,
% 197.93/198.33 ! [V_z_2,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__int__0__less__iff,axiom,
% 197.93/198.33 ! [V_z_2,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_of__nat__nat,axiom,
% 197.93/198.33 ! [V_z,T_a] :
% 197.93/198.33 ( class_Rings_Oring__1(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.93/198.33 => 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) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 197.93/198.33 ! [V_f_2,V_A_2,T_a] :
% 197.93/198.33 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.33 & class_Groups_Ocomm__monoid__mult(T_a) )
% 197.93/198.33 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 197.93/198.33 ! [V_A_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 197.93/198.33 <=> 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))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 197.93/198.33 ! [V_A_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.33 <=> 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))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2] :
% 197.93/198.33 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.93/198.33 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.33 <=> 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))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 197.93/198.33 ! [V_f_2,V_A_2,T_a] :
% 197.93/198.33 ( ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 197.93/198.33 ! [V_f_2,V_A_2,T_a] :
% 197.93/198.33 ( ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 197.93/198.33 ! [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))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_ivl__disj__un_I7_J,axiom,
% 197.93/198.33 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_atMost__Int__atLeast,axiom,
% 197.93/198.33 ! [V_n_2,T_a] :
% 197.93/198.33 ( class_Orderings_Oorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__atMost,axiom,
% 197.93/198.33 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_atMost__eq__iff,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)
% 197.93/198.33 <=> V_x_2 = V_y_2 ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_atLeast0AtMost,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_lessThan__Suc__atMost,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_card__atMost,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_atMost__Suc,axiom,
% 197.93/198.33 ! [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)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_atMost__iff,axiom,
% 197.93/198.33 ! [V_k_2,V_i_2,T_a] :
% 197.93/198.33 ( class_Orderings_Oord(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)))
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_k_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_atMost__subset__iff,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Oorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)))
% 197.93/198.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Compl__greaterThan,axiom,
% 197.93/198.33 ! [V_k_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Compl__atMost,axiom,
% 197.93/198.33 ! [V_k_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__atMost__Suc,axiom,
% 197.93/198.33 ! [V_n_2,V_f_2,T_a] :
% 197.93/198.33 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_atMost__0,axiom,
% 197.93/198.33 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))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_ivl__disj__un_I9_J,axiom,
% 197.93/198.33 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_ivl__disj__int_I3_J,axiom,
% 197.93/198.33 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.33 ( class_Orderings_Oorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_ivl__disj__int_I1_J,axiom,
% 197.93/198.33 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.33 ( class_Orderings_Oorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_image__uminus__atLeast,axiom,
% 197.93/198.33 ! [V_x_2,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.33 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_image__uminus__atMost,axiom,
% 197.93/198.33 ! [V_x_2,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.33 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_ivl__disj__un_I2_J,axiom,
% 197.93/198.33 ! [V_u_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_ivl__disj__un_I10_J,axiom,
% 197.93/198.33 ! [V_u_2,V_l_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.33 & class_Groups_Ocomm__monoid__mult(T_a) )
% 197.93/198.33 => ( V_A_2 = V_B_2
% 197.93/198.33 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.33 => ( ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.93/198.33 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_decr__lemma,axiom,
% 197.93/198.33 ! [V_z,V_x,V_d] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_incr__lemma,axiom,
% 197.93/198.33 ! [V_x,V_z,V_d] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 197.93/198.33 & class_Groups_Ocomm__monoid__mult(T_a) )
% 197.93/198.33 => ( V_A_2 = V_B_2
% 197.93/198.33 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.93/198.33 => ( ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.93/198.33 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_card__less__Suc,axiom,
% 197.93/198.33 ! [V_i_2,V_M_2] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 197.93/198.33 => 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))))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_CollectI,axiom,
% 197.93/198.33 ! [T_a,V_a_2,V_P_2] :
% 197.93/198.33 ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__Collect__conjI,axiom,
% 197.93/198.33 ! [V_Q_2,V_P_2,T_a] :
% 197.93/198.33 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) )
% 197.93/198.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__abs,axiom,
% 197.93/198.33 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__Collect__less__nat,axiom,
% 197.93/198.33 ! [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)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__Collect__le__nat,axiom,
% 197.93/198.33 ! [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)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__abs__ge__zero,axiom,
% 197.93/198.33 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__minus__commute,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__divide,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__one,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_empty__Collect__eq,axiom,
% 197.93/198.33 ! [V_P_2,T_a] :
% 197.93/198.33 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),V_P_2)
% 197.93/198.33 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__empty__eq,axiom,
% 197.93/198.33 ! [V_P_2,T_a] :
% 197.93/198.33 ( hAPP(c_Set_OCollect(T_a),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__minus__cancel,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__zero,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__eq__0,axiom,
% 197.93/198.33 ! [V_a_2,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.33 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__idempotent,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__def,axiom,
% 197.93/198.33 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__mult,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__mult__self,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__add__abs,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_power__abs,axiom,
% 197.93/198.33 ! [V_n,V_a,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__of__nat,axiom,
% 197.93/198.33 ! [V_n,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__le__D1,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__ge__self,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__int__eq,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_CollectE,axiom,
% 197.93/198.33 ! [V_P_2,V_a_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_CollectD,axiom,
% 197.93/198.33 ! [V_P_2,V_a_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_mem__Collect__eq,axiom,
% 197.93/198.33 ! [V_P_2,V_a_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__mem__eq,axiom,
% 197.93/198.33 ! [V_A_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)) = V_A_2 ).
% 197.93/198.33
% 197.93/198.33 fof(fact_empty__def,axiom,
% 197.93/198.33 ! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__Collect__disjI,axiom,
% 197.93/198.33 ! [V_Q_2,V_P_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2))))
% 197.93/198.33 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_insert__Collect,axiom,
% 197.93/198.33 ! [V_P_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__setsum__abs,axiom,
% 197.93/198.33 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_UNIV__def,axiom,
% 197.93/198.33 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fTrue)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__disj__eq,axiom,
% 197.93/198.33 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__conj__eq,axiom,
% 197.93/198.33 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__setprod,axiom,
% 197.93/198.33 ! [V_A_2,V_f_2,T_b,T_a] :
% 197.93/198.33 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__neg__eq,axiom,
% 197.93/198.33 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__of__nonneg,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__le__zero__iff,axiom,
% 197.93/198.33 ! [V_a_2,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.33 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__ge__zero,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__of__pos,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_zero__less__abs__iff,axiom,
% 197.93/198.33 ! [V_a_2,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)))
% 197.93/198.33 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__not__less__zero,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ~ 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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__triangle__ineq,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__mult__less,axiom,
% 197.93/198.33 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 197.93/198.33 => 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))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__triangle__ineq2__sym,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__triangle__ineq2,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__triangle__ineq3,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__le__D2,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__leI,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__le__iff,axiom,
% 197.93/198.33 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__ge__minus__self,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__less__iff,axiom,
% 197.93/198.33 ! [V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nonzero__abs__divide,axiom,
% 197.93/198.33 ! [V_a,V_b,T_a] :
% 197.93/198.33 ( class_Fields_Olinordered__field(T_a)
% 197.93/198.33 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__power__minus,axiom,
% 197.93/198.33 ! [V_n,V_a,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__zmult__eq__1,axiom,
% 197.93/198.33 ! [V_n,V_m] :
% 197.93/198.33 ( 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)
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__sgn,axiom,
% 197.93/198.33 ! [V_k,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_mult__sgn__abs,axiom,
% 197.93/198.33 ! [V_x,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_insert__compr__raw,axiom,
% 197.93/198.33 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_insert__compr,axiom,
% 197.93/198.33 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Un__def,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__def,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__Collect,axiom,
% 197.93/198.33 ! [V_P_2,V_A_2,V_x_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__conv__if,axiom,
% 197.93/198.33 ! [T_a,V_a_2,V_P_2] :
% 197.93/198.33 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.93/198.33 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 197.93/198.33 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 197.93/198.33 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__conv__if2,axiom,
% 197.93/198.33 ! [T_a,V_a_2,V_P_2] :
% 197.93/198.33 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.93/198.33 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 197.93/198.33 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 197.93/198.33 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_singleton__conv,axiom,
% 197.93/198.33 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_singleton__conv2,axiom,
% 197.93/198.33 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_set__diff__eq,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__Collect__not,axiom,
% 197.93/198.33 ! [V_P_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))))
% 197.93/198.33 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_insert__def,axiom,
% 197.93/198.33 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Compl__eq,axiom,
% 197.93/198.33 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Collect__imp__eq,axiom,
% 197.93/198.33 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_dom__def,axiom,
% 197.93/198.33 ! [V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),V_m_2)),c_Option_Ooption_ONone(T_b)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__M__bounded__by__nat,axiom,
% 197.93/198.33 ! [V_i_2,V_P_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_P_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__eq__mult,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Rings_Oordered__ring__abs(T_a)
% 197.93/198.33 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.93/198.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 197.93/198.33 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.93/198.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__mult__pos,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__diff__triangle__ineq,axiom,
% 197.93/198.33 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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))))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__triangle__ineq4,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__of__nonpos,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__minus__le__zero,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => 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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__of__neg,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__if,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Groups_Oabs__if(T_a)
% 197.93/198.33 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 197.93/198.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_zero__le__power__abs,axiom,
% 197.93/198.33 ! [V_n,V_a,T_a] :
% 197.93/198.33 ( class_Rings_Olinordered__idom(T_a)
% 197.93/198.33 => 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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_abs__div__pos,axiom,
% 197.93/198.33 ! [V_x,V_y,T_a] :
% 197.93/198.33 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_zabs__less__one__iff,axiom,
% 197.93/198.33 ! [V_z_2] :
% 197.93/198.33 ( 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)))
% 197.93/198.33 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_zabs__def,axiom,
% 197.93/198.33 ! [V_i] :
% 197.93/198.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 197.93/198.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.93/198.33 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nat__abs__mult__distrib,axiom,
% 197.93/198.33 ! [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))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_zero__le__zpower__abs,axiom,
% 197.93/198.33 ! [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))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__setsum__restrict,axiom,
% 197.93/198.33 ! [V_R_2,V_f_2,V_T_2,T_b,V_S_2,T_a,T_c] :
% 197.93/198.33 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_c),tc_fun(tc_fun(T_a,tc_HOL_Obool),T_c),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c)),hAPP(c_COMBC(T_a,T_b,T_c),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_if__image__distrib,axiom,
% 197.93/198.33 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_dom__if,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,V_P_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),T_a),c_If(tc_Option_Ooption(T_b))),V_P_2)),V_f_2)),V_g_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_g_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nat__seg__image__imp__finite,axiom,
% 197.93/198.33 ! [V_n_2,V_f_2,T_a,V_A_2] :
% 197.93/198.33 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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)))
% 197.93/198.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_zero__less__zpower__abs__iff,axiom,
% 197.93/198.33 ! [V_n_2,V_x_2] :
% 197.93/198.33 ( 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)))
% 197.93/198.33 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.93/198.33 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__restrict__set_H,axiom,
% 197.93/198.33 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 197.93/198.33 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__image__gen,axiom,
% 197.93/198.33 ! [V_f_2,T_c,V_g_2,V_S_2,T_a,T_b] :
% 197.93/198.33 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),T_b,T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_a),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_S_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__cases,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_a,T_b] :
% 197.93/198.33 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_card__less__Suc2,axiom,
% 197.93/198.33 ! [V_i_2,V_M_2] :
% 197.93/198.33 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 197.93/198.33 => 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))))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_card__less,axiom,
% 197.93/198.33 ! [V_i_2,V_M_2] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_dom__override__on,axiom,
% 197.93/198.33 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Fun_Ooverride__on(T_a,tc_Option_Ooption(T_b),V_f_2,V_g_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2)))))),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2))))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__multicount,axiom,
% 197.93/198.33 ! [V_k_2,V_R_2,V_T_2,T_b,V_S_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.93/198.33 => ( ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_T_2))
% 197.93/198.33 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_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_b),V_T_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_setsum__multicount__gen,axiom,
% 197.93/198.33 ! [V_k_2,V_R_2,V_t_2,T_b,V_s_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_t_2))
% 197.93/198.33 => ( ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_t_2))
% 197.93/198.33 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_s_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 197.93/198.33 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 197.93/198.33 ! [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)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_inf__Sup2__distrib,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Lattices_Odistrib__lattice(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__Collect__subsets,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Pow__Compl,axiom,
% 197.93/198.33 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_a))))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Pow__def,axiom,
% 197.93/198.33 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__Collect__bounded__ex,axiom,
% 197.93/198.33 ! [V_Q_2,T_b,V_P_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2)))))
% 197.93/198.33 <=> ! [B_y] :
% 197.93/198.33 ( hBOOL(hAPP(V_P_2,B_y))
% 197.93/198.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__image__set,axiom,
% 197.93/198.33 ! [V_f_2,T_b,V_P_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 197.93/198.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_a)),c_fequal)),V_f_2)))),V_P_2))))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_override__on__apply__notin,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 197.93/198.33 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_override__on__apply__in,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_override__on__emptyset,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,T_b,T_a] : c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_f_2 ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 197.93/198.33 ! [V_P_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_override__on__def,axiom,
% 197.93/198.33 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 197.93/198.33 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 197.93/198.33 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_ran__def,axiom,
% 197.93/198.33 ! [V_m_2,T_a,T_b] : c_Map_Oran(T_b,T_a,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_m_2))),c_Option_Ooption_OSome(T_a)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 197.93/198.33 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 197.93/198.33 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_P_2),c_Int_Onat)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_sup__Inf1__distrib,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Lattices_Odistrib__lattice(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_sup__Inf2__distrib,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Lattices_Odistrib__lattice(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_inf__Sup1__distrib,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Lattices_Odistrib__lattice(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 197.93/198.33 ! [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)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_add__Max__commute,axiom,
% 197.93/198.33 ! [V_k_2,V_N_2,T_a] :
% 197.93/198.33 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_add__Min__commute,axiom,
% 197.93/198.33 ! [V_k_2,V_N_2,T_a] :
% 197.93/198.33 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__conv__nat__seg__image,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nat0__intermed__int__val,axiom,
% 197.93/198.33 ! [V_k_2,V_f_2,V_n_2] :
% 197.93/198.33 ( ! [B_i] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 197.93/198.33 => 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))) )
% 197.93/198.33 => ( 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))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 197.93/198.33 => ? [B_i] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 197.93/198.33 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_minus__Min__eq__Max,axiom,
% 197.93/198.33 ! [V_S_2,T_a] :
% 197.93/198.33 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.33 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_minus__Max__eq__Min,axiom,
% 197.93/198.33 ! [V_S_2,T_a] :
% 197.93/198.33 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 197.93/198.33 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Osingleton,axiom,
% 197.93/198.33 ! [V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Osingleton,axiom,
% 197.93/198.33 ! [V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min__le,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_x_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max__ge,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min__in,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max__in,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min__antimono,axiom,
% 197.93/198.33 ! [V_N_2,V_M_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 197.93/198.33 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_M_2))) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max__mono,axiom,
% 197.93/198.33 ! [V_N_2,V_M_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 197.93/198.33 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2))) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nat__gcd_Osimps,axiom,
% 197.93/198.33 ! [V_x,V_y] :
% 197.93/198.33 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.33 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 197.93/198.33 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 197.93/198.33 ! [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)))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Oremove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Oremove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_int__val__lemma,axiom,
% 197.93/198.33 ! [V_k_2,V_f_2,V_n_2] :
% 197.93/198.33 ( ! [B_i] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 197.93/198.33 => 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))) )
% 197.93/198.33 => ( 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))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 197.93/198.33 => ? [B_i] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 197.93/198.33 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__greaterThanAtMost,axiom,
% 197.93/198.33 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_sup__max,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( ( class_Lattices_Osemilattice__sup(T_a)
% 197.93/198.33 & class_Orderings_Olinorder(T_a) )
% 197.93/198.33 => c_Lattices_Osemilattice__sup__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_inf__min,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( ( class_Lattices_Osemilattice__inf(T_a)
% 197.93/198.33 & class_Orderings_Olinorder(T_a) )
% 197.93/198.33 => c_Lattices_Osemilattice__inf__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__greaterThanLessThan,axiom,
% 197.93/198.33 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__atLeastLessThan,axiom,
% 197.93/198.33 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__atLeastAtMost,axiom,
% 197.93/198.33 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_le__max__iff__disj,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_x_2))
% 197.93/198.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_y_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_le__maxI1,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_le__maxI2,axiom,
% 197.93/198.33 ! [V_x,V_y,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__iff__sup,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.93/198.33 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__sup__iff,axiom,
% 197.93/198.33 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__supI1,axiom,
% 197.93/198.33 ! [V_b,V_a,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.93/198.33 => 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))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__supI2,axiom,
% 197.93/198.33 ! [V_a,V_b,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.93/198.33 => 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))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__absorb2,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__absorb1,axiom,
% 197.93/198.33 ! [V_x,V_y,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__supI,axiom,
% 197.93/198.33 ! [V_b,V_x,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.93/198.33 => 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)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__least,axiom,
% 197.93/198.33 ! [V_z,V_x,V_y,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 197.93/198.33 => 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)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__mono,axiom,
% 197.93/198.33 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.93/198.33 => 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))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__supE,axiom,
% 197.93/198.33 ! [V_x,V_b,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( 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))
% 197.93/198.33 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.93/198.33 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__le__iff__disj,axiom,
% 197.93/198.33 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 197.93/198.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__le1,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__le2,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__iff__inf,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.93/198.33 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__inf__iff,axiom,
% 197.93/198.33 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y_2),V_z_2)))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__infI1,axiom,
% 197.93/198.33 ! [V_b,V_x,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__infI2,axiom,
% 197.93/198.33 ! [V_a,V_x,V_b,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__absorb1,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__absorb2,axiom,
% 197.93/198.33 ! [V_x,V_y,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__infI,axiom,
% 197.93/198.33 ! [V_b,V_a,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.93/198.33 => 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))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__greatest,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 197.93/198.33 => 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))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__mono,axiom,
% 197.93/198.33 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.93/198.33 => 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))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ole__infE,axiom,
% 197.93/198.33 ! [V_b,V_a,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( 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)))
% 197.93/198.33 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.93/198.33 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oless__supI1,axiom,
% 197.93/198.33 ! [V_b,V_a,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 197.93/198.33 => 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))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oless__supI2,axiom,
% 197.93/198.33 ! [V_a,V_b,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 197.93/198.33 => 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))) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_less__max__iff__disj,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 197.93/198.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__less__iff__conj,axiom,
% 197.93/198.33 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oless__infI1,axiom,
% 197.93/198.33 ! [V_b,V_x,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oless__infI2,axiom,
% 197.93/198.33 ! [V_a,V_x,V_b,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__less__iff__conj,axiom,
% 197.93/198.33 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__less__iff__disj,axiom,
% 197.93/198.33 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 197.93/198.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 197.93/198.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Odistrib__sup__le,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Odistrib__inf__le,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)))) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_minus__min__eq__max,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_minus__max__eq__min,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup_Oidem,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf_Oidem,axiom,
% 197.93/198.33 ! [V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup_Ocommute,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__commute,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf_Ocommute,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__commute,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__inf__absorb,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__left__idem,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 197.93/198.33 ! [V_b,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__left__idem,axiom,
% 197.93/198.33 ! [V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 197.93/198.33 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__left__commute,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 197.93/198.33 ! [V_c,V_a,V_b,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__left__commute,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup_Oassoc,axiom,
% 197.93/198.33 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__assoc,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf_Oassoc,axiom,
% 197.93/198.33 ! [V_c,V_b,V_a,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__assoc,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 197.93/198.33 ! [V_x,V_z,V_y,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 197.93/198.33 ! [V_x,V_z,V_y,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Oidem,axiom,
% 197.93/198.33 ! [V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Oidem,axiom,
% 197.93/198.33 ! [V_x,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__add__distrib__left,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__add__distrib__left,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__Suc__Suc,axiom,
% 197.93/198.33 ! [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)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__Suc__Suc,axiom,
% 197.93/198.33 ! [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)) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__0L,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__0R,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__0L,axiom,
% 197.93/198.33 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__0R,axiom,
% 197.93/198.33 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__diff__distrib__left,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__diff__distrib__left,axiom,
% 197.93/198.33 ! [V_z,V_y,V_x,T_a] :
% 197.93/198.33 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.93/198.33 => 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)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__diff,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nat__minus__add__max,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__Suc2,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__Suc1,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Oin__idem,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Oin__idem,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__atLeastAtMostR1,axiom,
% 197.93/198.33 ! [V_d_2,V_c_2,V_b_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__atLeastAtMostL1,axiom,
% 197.93/198.33 ! [V_d_2,V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__atLeastAtMostL2,axiom,
% 197.93/198.33 ! [V_c_2,V_b_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_c_2),V_b_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Int__atLeastAtMostR2,axiom,
% 197.93/198.33 ! [V_d_2,V_c_2,V_a_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_c_2),V_d_2) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_OF__eq,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_OF__eq,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__Suc1,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__Suc2,axiom,
% 197.93/198.33 ! [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) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Ofold1__belowI,axiom,
% 197.93/198.33 ! [V_a_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 197.93/198.33 <=> ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_fold1__below__iff,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 197.93/198.33 <=> ? [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_fold1__strict__below__iff,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 197.93/198.33 <=> ? [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_strict__below__fold1__iff,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 197.93/198.33 <=> ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max__insert,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min__insert,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Osubset__idem,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Osubset__idem,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max__Un,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min__Un,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Oinsert,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Oinsert,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_fold1__antimono,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Oinsert__remove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Ounion__inter,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Ounion__disjoint,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Oinsert__remove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Ounion__inter,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Ounion__disjoint,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_dual__min,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Orderings_Oord_Omin(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_dual__max,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Orderings_Oord_Omax(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_max__ord__max,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Orderings_Oord(T_a)
% 197.93/198.33 => c_Orderings_Oord__class_Omax(T_a) = c_Orderings_Oord_Omax(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__ord__min,axiom,
% 197.93/198.33 ! [T_a] :
% 197.93/198.33 ( class_Orderings_Oord(T_a)
% 197.93/198.33 => c_Orderings_Oord__class_Omin(T_a) = c_Orderings_Oord_Omin(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_sup__nat__def,axiom,
% 197.93/198.33 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_inf__nat__def,axiom,
% 197.93/198.33 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omin(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omax(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__le__Sup,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 197.93/198.33 ! [V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 197.93/198.33 ! [V_x_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 197.93/198.33 ! [V_a_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 197.93/198.33 ! [V_a_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 197.93/198.33 ! [V_B_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 197.93/198.33 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 197.93/198.33 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.33 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = V_x_2 )
% 197.93/198.33 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Oclosed,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Oclosed,axiom,
% 197.93/198.33 ! [V_A_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 197.93/198.33 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 197.93/198.33 ! [V_N_2,V_h_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 197.93/198.33 ! [V_N_2,V_h_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Max_Ohom__commute,axiom,
% 197.93/198.33 ! [V_N_2,V_h_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_Min_Ohom__commute,axiom,
% 197.93/198.33 ! [V_N_2,V_h_2,T_a] :
% 197.93/198.33 ( class_Orderings_Olinorder(T_a)
% 197.93/198.33 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 197.93/198.33 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.33 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_pigeonhole__infinite,axiom,
% 197.93/198.33 ! [V_f_2,T_b,V_A_2,T_a] :
% 197.93/198.33 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 197.93/198.33 => ? [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_UN__le__eq__Un0,axiom,
% 197.93/198.33 ! [V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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))) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_diff__nat__eq__if,axiom,
% 197.93/198.33 ! [V_z_2,V_z_H_2] :
% 197.93/198.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 197.93/198.33 => 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) )
% 197.93/198.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 197.93/198.33 => 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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_nat__mod__eq__lemma,axiom,
% 197.93/198.33 ! [V_y,V_n,V_x] :
% 197.93/198.33 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 197.93/198.33 => ? [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)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_SUP1__I,axiom,
% 197.93/198.33 ! [T_b,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 197.93/198.33 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_finite__UN,axiom,
% 197.93/198.33 ! [V_B_2,T_b,V_A_2,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.93/198.33 <=> ! [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_SUP1__iff,axiom,
% 197.93/198.33 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 197.93/198.33 <=> ? [B_x] :
% 197.93/198.33 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.33 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 197.93/198.33
% 197.93/198.33 fof(fact_not__neg__0,axiom,
% 197.93/198.34 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_not__neg__int,axiom,
% 197.93/198.34 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_not__neg__1,axiom,
% 197.93/198.34 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUP__UN__eq,axiom,
% 197.93/198.34 ! [V_x_2,V_r_2,T_b,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_not__neg__eq__ge__0,axiom,
% 197.93/198.34 ! [V_x_2] :
% 197.93/198.34 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_neg__def,axiom,
% 197.93/198.34 ! [V_Z_2] :
% 197.93/198.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_neg__nat,axiom,
% 197.93/198.34 ! [V_z] :
% 197.93/198.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 197.93/198.34 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_not__neg__nat,axiom,
% 197.93/198.34 ! [V_z] :
% 197.93/198.34 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 197.93/198.34 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__lessThan__UNIV,axiom,
% 197.93/198.34 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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__atMost__UNIV,axiom,
% 197.93/198.34 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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__atLeast__UNIV,axiom,
% 197.93/198.34 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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__UN__finite__eq,axiom,
% 197.93/198.34 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__le__add__shift,axiom,
% 197.93/198.34 ! [V_k_2,V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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_a,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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_neg__zminus__int,axiom,
% 197.93/198.34 ! [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))))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__I,axiom,
% 197.93/198.34 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_image__eq__UN,axiom,
% 197.93/198.34 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__Pow__subset,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__insert,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_ball__UN,axiom,
% 197.93/198.34 ! [V_P_2,V_B_2,V_A_2,T_b,T_a] :
% 197.93/198.34 ( ! [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.93/198.34 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.93/198.34 <=> ! [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.93/198.34 => ! [B_xa] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(V_B_2,B_x)))
% 197.93/198.34 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUP__commute,axiom,
% 197.93/198.34 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 197.93/198.34 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__UN__flatten,axiom,
% 197.93/198.34 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I9_J,axiom,
% 197.93/198.34 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I9_J,axiom,
% 197.93/198.34 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUP__le__iff,axiom,
% 197.93/198.34 ! [V_u_2,V_M_2,V_A_2,T_b,T_a] :
% 197.93/198.34 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_M_2)),V_u_2))
% 197.93/198.34 <=> ! [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__SUP__iff,axiom,
% 197.93/198.34 ! [V_f_2,V_A_2,T_b,V_a_2,T_a] :
% 197.93/198.34 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 197.93/198.34 & class_Orderings_Olinorder(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_f_2)))
% 197.93/198.34 <=> ? [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.93/198.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__iff,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.93/198.34 <=> ? [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.93/198.34 & hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUP__const,axiom,
% 197.93/198.34 ! [V_M_2,T_a,V_A_2,T_b] :
% 197.93/198.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.93/198.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UNION__empty__conv_I1_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_b,T_a] :
% 197.93/198.34 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 197.93/198.34 <=> ! [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.93/198.34 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__empty2,axiom,
% 197.93/198.34 ! [V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__constant,axiom,
% 197.93/198.34 ! [V_c_2,T_b,T_a,V_A_2] :
% 197.93/198.34 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 197.93/198.34 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_c_2)) = V_c_2 ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UNION__empty__conv_I2_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_a,T_b] :
% 197.93/198.34 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 <=> ! [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.93/198.34 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__subset__iff,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 197.93/198.34 <=> ! [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I10_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_image__UN,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Oimage(T_b,T_a,V_f_2)),V_B_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I10_J,axiom,
% 197.93/198.34 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__Un__distrib,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__Un,axiom,
% 197.93/198.34 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Int__UN__distrib2,axiom,
% 197.93/198.34 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I4_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Int__UN__distrib,axiom,
% 197.93/198.34 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I5_J,axiom,
% 197.93/198.34 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I4_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I5_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUPR__apply,axiom,
% 197.93/198.34 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 197.93/198.34 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 197.93/198.34 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I6_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I6_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUP__subset,axiom,
% 197.93/198.34 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 197.93/198.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_B_2),V_f_2))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_le__SUPI,axiom,
% 197.93/198.34 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 197.93/198.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_M_2))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__insert__distrib,axiom,
% 197.93/198.34 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__upper,axiom,
% 197.93/198.34 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__absorb,axiom,
% 197.93/198.34 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 197.93/198.34 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I1_J,axiom,
% 197.93/198.34 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 197.93/198.34 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 197.93/198.34 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__singleton,axiom,
% 197.93/198.34 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I1_J,axiom,
% 197.93/198.34 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 197.93/198.34 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 197.93/198.34 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I3_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 197.93/198.34 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 197.93/198.34 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__simps_I2_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 197.93/198.34 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 197.93/198.34 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I3_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 197.93/198.34 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 197.93/198.34 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__extend__simps_I2_J,axiom,
% 197.93/198.34 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 197.93/198.34 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 197.93/198.34 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 197.93/198.34 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__finite2__subset,axiom,
% 197.93/198.34 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 197.93/198.34 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__finite2__eq,axiom,
% 197.93/198.34 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 197.93/198.34 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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)
% 197.93/198.34 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_UN__finite__subset,axiom,
% 197.93/198.34 ! [V_C_2,V_A_2,T_a] :
% 197.93/198.34 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_finite__UN__I,axiom,
% 197.93/198.34 ! [V_B_2,T_b,V_A_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.34 => ( ! [B_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 197.93/198.34 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 197.93/198.34 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUP2__I,axiom,
% 197.93/198.34 ! [T_c,T_b,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_card_Oneutral,axiom,
% 197.93/198.34 ! [V_A_2,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.34 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.34 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.34 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_mod__induct__0,axiom,
% 197.93/198.34 ! [V_i_2,V_P_2,V_p_2] :
% 197.93/198.34 ( ! [B_i] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 197.93/198.34 => ( hBOOL(hAPP(V_P_2,B_i))
% 197.93/198.34 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 197.93/198.34 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 197.93/198.34 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_fold__image__cong,axiom,
% 197.93/198.34 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 197.93/198.34 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.93/198.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.34 => ( ! [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.34 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 197.93/198.34 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Max__eqI,axiom,
% 197.93/198.34 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.34 ( class_Orderings_Olinorder(T_a)
% 197.93/198.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.34 => ( ! [B_y] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_y),V_x_2)) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.34 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_SUP2__iff,axiom,
% 197.93/198.34 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 197.93/198.34 <=> ? [B_x] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 197.93/198.34 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Min__eqI,axiom,
% 197.93/198.34 ! [V_x_2,V_A_2,T_a] :
% 197.93/198.34 ( class_Orderings_Olinorder(T_a)
% 197.93/198.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 197.93/198.34 => ( ! [B_y] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_y)) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 197.93/198.34 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_expand__Suc,axiom,
% 197.93/198.34 ! [V_v] :
% 197.93/198.34 ( 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)))
% 197.93/198.34 => 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))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osize_I3_J,axiom,
% 197.93/198.34 ! [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))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osize_I11_J,axiom,
% 197.93/198.34 ! [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))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_WTs__elim__cases_I3_J,axiom,
% 197.93/198.34 ! [V_c_2,V_a_2,V_Y_2] :
% 197.93/198.34 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_c_2)))
% 197.93/198.34 => hBOOL(hAPP(c_Com_OWT,V_c_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__eq,axiom,
% 197.93/198.34 ! [V_k,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_of__int__number__of__eq,axiom,
% 197.93/198.34 ! [V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_of__nat__number__of__lemma,axiom,
% 197.93/198.34 ! [V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => ( ( 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)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ 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)))
% 197.93/198.34 => 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) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I2_J,axiom,
% 197.93/198.34 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 197.93/198.34 ( 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)
% 197.93/198.34 <=> ( V_loc_2 = V_loc_H_2
% 197.93/198.34 & V_fun_2 = V_fun_H_2
% 197.93/198.34 & V_com_2 = V_com_H_2 ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_eq__number__of,axiom,
% 197.93/198.34 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.34 ( ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 & class_Int_Oring__char__0(T_a) )
% 197.93/198.34 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 197.93/198.34 <=> V_x_2 = V_y_2 ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__reorient,axiom,
% 197.93/198.34 ! [V_x_2,V_w_2,T_a] :
% 197.93/198.34 ( class_Int_Onumber(T_a)
% 197.93/198.34 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = V_x_2
% 197.93/198.34 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_of__nat__number__of__eq,axiom,
% 197.93/198.34 ! [V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I40_J,axiom,
% 197.93/198.34 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I41_J,axiom,
% 197.93/198.34 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_WT_Oequations_I3_J,axiom,
% 197.93/198.34 ! [V_a1_2,V_a3_2,V_a2_2] :
% 197.93/198.34 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2)))
% 197.93/198.34 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_WT_OLocal,axiom,
% 197.93/198.34 ! [V_a_2,V_Y_2,V_c_2] :
% 197.93/198.34 ( hBOOL(hAPP(c_Com_OWT,V_c_2))
% 197.93/198.34 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_c_2))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I38_J,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I39_J,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I36_J,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I37_J,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I34_J,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I35_J,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I11_J,axiom,
% 197.93/198.34 ! [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 ).
% 197.93/198.34
% 197.93/198.34 fof(fact_com_Osimps_I10_J,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_le__number__of__eq__not__less,axiom,
% 197.93/198.34 ! [V_w_2,V_v_2,T_a] :
% 197.93/198.34 ( ( class_Int_Onumber(T_a)
% 197.93/198.34 & class_Orderings_Olinorder(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_left__distrib__number__of,axiom,
% 197.93/198.34 ! [V_v,V_b,V_a,T_b] :
% 197.93/198.34 ( ( class_Int_Onumber(T_b)
% 197.93/198.34 & class_Rings_Osemiring(T_b) )
% 197.93/198.34 => 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))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_right__distrib__number__of,axiom,
% 197.93/198.34 ! [V_c,V_b,V_v,T_b] :
% 197.93/198.34 ( ( class_Int_Onumber(T_b)
% 197.93/198.34 & class_Rings_Osemiring(T_b) )
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_right__diff__distrib__number__of,axiom,
% 197.93/198.34 ! [V_c,V_b,V_v,T_b] :
% 197.93/198.34 ( ( class_Int_Onumber(T_b)
% 197.93/198.34 & class_Rings_Oring(T_b) )
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_left__diff__distrib__number__of,axiom,
% 197.93/198.34 ! [V_v,V_b,V_a,T_b] :
% 197.93/198.34 ( ( class_Int_Onumber(T_b)
% 197.93/198.34 & class_Rings_Oring(T_b) )
% 197.93/198.34 => 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))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_le__number__of,axiom,
% 197.93/198.34 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.34 ( ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 & class_Rings_Olinordered__idom(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__number__of,axiom,
% 197.93/198.34 ! [V_y_2,V_x_2,T_a] :
% 197.93/198.34 ( ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 & class_Rings_Olinordered__idom(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_min__number__of,axiom,
% 197.93/198.34 ! [V_v,V_u,T_b] :
% 197.93/198.34 ( ( class_Int_Onumber(T_b)
% 197.93/198.34 & class_Orderings_Oord(T_b) )
% 197.93/198.34 => ( ( 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)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ 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)))
% 197.93/198.34 => 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) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_max__number__of,axiom,
% 197.93/198.34 ! [V_v,V_u,T_b] :
% 197.93/198.34 ( ( class_Int_Onumber(T_b)
% 197.93/198.34 & class_Orderings_Oord(T_b) )
% 197.93/198.34 => ( ( 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)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ 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)))
% 197.93/198.34 => 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) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__add,axiom,
% 197.93/198.34 ! [V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__number__of__eq,axiom,
% 197.93/198.34 ! [V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__number__of__left,axiom,
% 197.93/198.34 ! [V_z,V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__mult,axiom,
% 197.93/198.34 ! [V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_arith__simps_I32_J,axiom,
% 197.93/198.34 ! [V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_mult__number__of__left,axiom,
% 197.93/198.34 ! [V_z,V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__diff,axiom,
% 197.93/198.34 ! [V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_arith__simps_I30_J,axiom,
% 197.93/198.34 ! [V_w,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__minus,axiom,
% 197.93/198.34 ! [V_w,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Ints__number__of,axiom,
% 197.93/198.34 ! [V_w_2,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_divide__eq__eq__number__of1,axiom,
% 197.93/198.34 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_a_2
% 197.93/198.34 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) )
% 197.93/198.34 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_divide__eq__eq__number__of,axiom,
% 197.93/198.34 ! [V_w_2,V_c_2,V_b_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)
% 197.93/198.34 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2) )
% 197.93/198.34 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_eq__divide__eq__number__of,axiom,
% 197.93/198.34 ! [V_c_2,V_b_2,V_w_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)
% 197.93/198.34 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2) = V_b_2 )
% 197.93/198.34 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_eq__divide__eq__number__of1,axiom,
% 197.93/198.34 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))
% 197.93/198.34 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_b_2 )
% 197.93/198.34 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 197.93/198.34 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__number__of__diff1,axiom,
% 197.93/198.34 ! [V_c,V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_minus__number__of__mult,axiom,
% 197.93/198.34 ! [V_z,V_w,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_diff__number__of__eq,axiom,
% 197.93/198.34 ! [V_w,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_divide__less__eq__number__of1,axiom,
% 197.93/198.34 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_divide__less__eq__number__of,axiom,
% 197.93/198.34 ! [V_w_2,V_c_2,V_b_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2)),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__divide__eq__number__of,axiom,
% 197.93/198.34 ! [V_c_2,V_b_2,V_w_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2)),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__divide__eq__number__of1,axiom,
% 197.93/198.34 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_abs__number__of,axiom,
% 197.93/198.34 ! [V_x,T_a] :
% 197.93/198.34 ( ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 & class_Rings_Olinordered__idom(T_a) )
% 197.93/198.34 => ( ( 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)))
% 197.93/198.34 => 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)) )
% 197.93/198.34 & ( ~ 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)))
% 197.93/198.34 => 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) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__number__of__diff2,axiom,
% 197.93/198.34 ! [V_w,V_c,V_v,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_divide__le__eq__number__of1,axiom,
% 197.93/198.34 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_divide__le__eq__number__of,axiom,
% 197.93/198.34 ! [V_w_2,V_c_2,V_b_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2)),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_le__divide__eq__number__of,axiom,
% 197.93/198.34 ! [V_c_2,V_b_2,V_w_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2)),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_c_2))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_le__divide__eq__number__of1,axiom,
% 197.93/198.34 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 197.93/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber(T_a) )
% 197.93/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 197.93/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 197.93/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.93/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_one__mod__nat__number__of,axiom,
% 197.93/198.34 ! [V_v_H] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.93/198.34 => 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)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.93/198.34 => 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))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_one__div__nat__number__of,axiom,
% 197.93/198.34 ! [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))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_power__number__of__odd__number__of,axiom,
% 197.93/198.34 ! [V_v_2,V_w_2,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => ( ( 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)))
% 197.93/198.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)))),c_COMBI(T_a))) )
% 197.93/198.34 & ( ~ 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)))
% 197.93/198.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_power__nat__number__of__number__of,axiom,
% 197.93/198.34 ! [V_w,V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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)) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_times__numeral__code_I5_J,axiom,
% 197.93/198.34 ! [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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_minus__numeral__code_I5_J,axiom,
% 197.93/198.34 ! [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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__is__id,axiom,
% 197.93/198.34 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 197.93/198.34
% 197.93/198.34 fof(fact_plus__numeral__code_I9_J,axiom,
% 197.93/198.34 ! [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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__number__of__int__code,axiom,
% 197.93/198.34 ! [V_l_2,V_k_2] :
% 197.93/198.34 ( 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)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__eq__number__of__int__code,axiom,
% 197.93/198.34 ! [V_l_2,V_k_2] :
% 197.93/198.34 ( 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)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_neg__number__of__Bit1,axiom,
% 197.93/198.34 ! [V_w_2] :
% 197.93/198.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 197.93/198.34 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I17_J,axiom,
% 197.93/198.34 ! [V_l_2,V_k_2] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__int__code_I16_J,axiom,
% 197.93/198.34 ! [V_k2_2,V_k1_2] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_less__eq__int__code_I16_J,axiom,
% 197.93/198.34 ! [V_k2_2,V_k1_2] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I34_J,axiom,
% 197.93/198.34 ! [V_l_2,V_k_2] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I51_J,axiom,
% 197.93/198.34 ! [V_l_2,V_k_2] :
% 197.93/198.34 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 197.93/198.34 <=> V_k_2 = V_l_2 ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_int__number__of__def,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_bin__less__0__simps_I4_J,axiom,
% 197.93/198.34 ! [V_w_2] :
% 197.93/198.34 ( 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)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Bit1__def,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__number__of,axiom,
% 197.93/198.34 ! [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) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__number__of__def,axiom,
% 197.93/198.34 ! [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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__number__of__Bit1,axiom,
% 197.93/198.34 ! [V_w_2] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.93/198.34 => 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)))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__Bit1,axiom,
% 197.93/198.34 ! [V_w,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_power__number__of__odd,axiom,
% 197.93/198.34 ! [V_z_2,V_w_2,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => ( ( 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)))
% 197.93/198.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2))),c_COMBI(T_a))) )
% 197.93/198.34 & ( ~ 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)))
% 197.93/198.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_zpower__number__of__odd,axiom,
% 197.93/198.34 ! [V_z_2,V_w_2] :
% 197.93/198.34 ( ( 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)))
% 197.93/198.34 => 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))) )
% 197.93/198.34 & ( ~ 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)))
% 197.93/198.34 => 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) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_minus__numeral__code_I6_J,axiom,
% 197.93/198.34 ! [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))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_neg__imp__number__of__eq__0,axiom,
% 197.93/198.34 ! [V_v] :
% 197.93/198.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_int__eq__iff__number__of,axiom,
% 197.93/198.34 ! [V_v_2,V_m_2] :
% 197.93/198.34 ( 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)
% 197.93/198.34 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 197.93/198.34 & 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))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_eq__nat__number__of,axiom,
% 197.93/198.34 ! [V_v_H_2,V_v_2] :
% 197.93/198.34 ( 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)
% 197.93/198.34 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 197.93/198.34 => 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))) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 197.93/198.34 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 197.93/198.34 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__number__of__add__left,axiom,
% 197.93/198.34 ! [V_k,V_v_H,V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.93/198.34 => 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) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_int__nat__number__of,axiom,
% 197.93/198.34 ! [V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_mod__nat__number__of,axiom,
% 197.93/198.34 ! [V_v_H,V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.93/198.34 => 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))) ) ) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_div__nat__number__of,axiom,
% 197.93/198.34 ! [V_v_H,V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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))) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_power__nat__number__of,axiom,
% 197.93/198.34 ! [V_n,V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Suc__nat__number__of__add,axiom,
% 197.93/198.34 ! [V_n,V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.93/198.34 => 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) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_diff__nat__number__of,axiom,
% 197.93/198.34 ! [V_v_2,V_v_H_2] :
% 197.93/198.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 197.93/198.34 => 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)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_min__Suc__number__of,axiom,
% 197.93/198.34 ! [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)))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_min__number__of__Suc,axiom,
% 197.93/198.34 ! [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)))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_succ__Pls,axiom,
% 197.93/198.34 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I39_J,axiom,
% 197.93/198.34 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I46_J,axiom,
% 197.93/198.34 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 197.93/198.34
% 197.93/198.34 fof(fact_diff__bin__simps_I1_J,axiom,
% 197.93/198.34 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 197.93/198.34
% 197.93/198.34 fof(fact_minus__Pls,axiom,
% 197.93/198.34 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I19_J,axiom,
% 197.93/198.34 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I2_J,axiom,
% 197.93/198.34 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__Pls,axiom,
% 197.93/198.34 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__Pls__right,axiom,
% 197.93/198.34 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 197.93/198.34
% 197.93/198.34 fof(fact_succ__pred,axiom,
% 197.93/198.34 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Pls__def,axiom,
% 197.93/198.34 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_mult__Pls,axiom,
% 197.93/198.34 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 197.93/198.34
% 197.93/198.34 fof(fact_number__of__Pls,axiom,
% 197.93/198.34 ! [T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_semiring__norm_I112_J,axiom,
% 197.93/198.34 ! [T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__numeral__0__right,axiom,
% 197.93/198.34 ! [V_a,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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 ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_add__numeral__0,axiom,
% 197.93/198.34 ! [V_a,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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 ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_bin__less__0__simps_I1_J,axiom,
% 197.93/198.34 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_semiring__norm_I113_J,axiom,
% 197.93/198.34 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__number__of__Pls,axiom,
% 197.93/198.34 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_zero__is__num__zero,axiom,
% 197.93/198.34 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I22_J,axiom,
% 197.93/198.34 ! [V_k_2] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_rel__simps_I12_J,axiom,
% 197.93/198.34 ! [V_k_2] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_Suc__diff__number__of,axiom,
% 197.93/198.34 ! [V_m,V_v] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 197.93/198.34 => 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))) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_not__neg__number__of__Pls,axiom,
% 197.93/198.34 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__1__add__number__of,axiom,
% 197.93/198.34 ! [V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.93/198.34 => 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)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__number__of__add__1,axiom,
% 197.93/198.34 ! [V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.93/198.34 => 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)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_le__iff__pred__less,axiom,
% 197.93/198.34 ! [V_l_2,V_k_2] :
% 197.93/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_minus__Bit1,axiom,
% 197.93/198.34 ! [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))) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_pred__def,axiom,
% 197.93/198.34 ! [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)) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_nat__number__of__diff__1,axiom,
% 197.93/198.34 ! [V_v] :
% 197.93/198.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 197.93/198.34 => 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) )
% 197.93/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 197.93/198.34 => 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)) ) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_mult__numeral__1,axiom,
% 197.93/198.34 ! [V_a,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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 ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_mult__numeral__1__right,axiom,
% 197.93/198.34 ! [V_a,T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => 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 ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_divide__Numeral0,axiom,
% 197.93/198.34 ! [V_x,T_a] :
% 197.93/198.34 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.93/198.34 & class_Int_Onumber__ring(T_a) )
% 197.93/198.34 => 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) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_semiring__norm_I110_J,axiom,
% 197.93/198.34 ! [T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_numeral__1__eq__1,axiom,
% 197.93/198.34 ! [T_a] :
% 197.93/198.34 ( class_Int_Onumber__ring(T_a)
% 197.93/198.34 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_eq__0__number__of,axiom,
% 197.93/198.34 ! [V_v_2] :
% 197.93/198.34 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 197.93/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 197.93/198.34
% 197.93/198.34 fof(fact_eq__number__of__0,axiom,
% 198.11/198.34 ! [V_v_2] :
% 198.11/198.34 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_number__of2,axiom,
% 198.11/198.34 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))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I29_J,axiom,
% 198.11/198.34 ! [V_k_2] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I5_J,axiom,
% 198.11/198.34 ! [V_k_2] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__nat__number__of,axiom,
% 198.11/198.34 ! [V_v_H_2,V_v_2] :
% 198.11/198.34 ( 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)))
% 198.11/198.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 198.11/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 198.11/198.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_divide__Numeral1,axiom,
% 198.11/198.34 ! [V_x,T_a] :
% 198.11/198.34 ( ( class_Fields_Ofield(T_a)
% 198.11/198.34 & class_Int_Onumber__ring(T_a) )
% 198.11/198.34 => 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 ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_divide__numeral__1,axiom,
% 198.11/198.34 ! [V_a,T_a] :
% 198.11/198.34 ( ( class_Fields_Ofield(T_a)
% 198.11/198.34 & class_Int_Onumber__ring(T_a) )
% 198.11/198.34 => 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 ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_le__nat__number__of,axiom,
% 198.11/198.34 ! [V_v_H_2,V_v_2] :
% 198.11/198.34 ( 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)))
% 198.11/198.34 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 198.11/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_one__is__num__one,axiom,
% 198.11/198.34 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__numeral__1__eq__1,axiom,
% 198.11/198.34 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Numeral1__eq1__nat,axiom,
% 198.11/198.34 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 198.11/198.34 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_succ__def,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_le__special_I1_J,axiom,
% 198.11/198.34 ! [V_y_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_le__special_I3_J,axiom,
% 198.11/198.34 ! [V_x_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__special_I3_J,axiom,
% 198.11/198.34 ! [V_x_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__special_I1_J,axiom,
% 198.11/198.34 ! [V_y_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__0__number__of,axiom,
% 198.11/198.34 ! [V_v_2] :
% 198.11/198.34 ( 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)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_numeral__3__eq__3,axiom,
% 198.11/198.34 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)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_numeral__1__eq__Suc__0,axiom,
% 198.11/198.34 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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_power3__eq__cube,axiom,
% 198.11/198.34 ! [V_a,T_a] :
% 198.11/198.34 ( class_Groups_Omonoid__mult(T_a)
% 198.11/198.34 => 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) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 198.11/198.34 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))))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc3__eq__add__3,axiom,
% 198.11/198.34 ! [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) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_add__nat__number__of,axiom,
% 198.11/198.34 ! [V_v_H,V_v] :
% 198.11/198.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.11/198.34 => 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) )
% 198.11/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.11/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 198.11/198.34 => 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) )
% 198.11/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 198.11/198.34 => 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)) ) ) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 198.11/198.34 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)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 198.11/198.34 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)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_number__of__succ,axiom,
% 198.11/198.34 ! [V_k,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => 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)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_number__of__pred,axiom,
% 198.11/198.34 ! [V_w,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => 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)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_le__special_I4_J,axiom,
% 198.11/198.34 ! [V_x_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_le__special_I2_J,axiom,
% 198.11/198.34 ! [V_y_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__special_I2_J,axiom,
% 198.11/198.34 ! [V_y_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__special_I4_J,axiom,
% 198.11/198.34 ! [V_x_2,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.11/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_add__special_I3_J,axiom,
% 198.11/198.34 ! [V_v,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => 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))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_add__special_I2_J,axiom,
% 198.11/198.34 ! [V_w,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => 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)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 198.11/198.34 ! [V_m,V_n] :
% 198.11/198.34 ( 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))
% 198.11/198.34 => 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)))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__number__of__mult__left,axiom,
% 198.11/198.34 ! [V_k,V_v_H,V_v] :
% 198.11/198.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.11/198.34 => 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) )
% 198.11/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.11/198.34 => 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) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_mult__nat__number__of,axiom,
% 198.11/198.34 ! [V_v_H,V_v] :
% 198.11/198.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.11/198.34 => 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) )
% 198.11/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 198.11/198.34 => 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)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_neg__number__of__pred__iff__0,axiom,
% 198.11/198.34 ! [V_v_2] :
% 198.11/198.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 198.11/198.34 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 198.11/198.34 ! [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) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_div__Suc__eq__div__add3,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc__div__eq__add3__div,axiom,
% 198.11/198.34 ! [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) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_diff__special_I2_J,axiom,
% 198.11/198.34 ! [V_v,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => 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)))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_diff__special_I1_J,axiom,
% 198.11/198.34 ! [V_w,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => 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))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc__eq__number__of,axiom,
% 198.11/198.34 ! [V_v_2,V_n_2] :
% 198.11/198.34 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 198.11/198.34 <=> 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))))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_eq__number__of__Suc,axiom,
% 198.11/198.34 ! [V_n_2,V_v_2] :
% 198.11/198.34 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 198.11/198.34 <=> 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))))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__case__number__of,axiom,
% 198.11/198.34 ! [V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__Suc__number__of,axiom,
% 198.11/198.34 ! [V_v_2,V_n_2] :
% 198.11/198.34 ( 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)))
% 198.11/198.34 <=> 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))))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__number__of__Suc,axiom,
% 198.11/198.34 ! [V_n_2,V_v_2] :
% 198.11/198.34 ( 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)))
% 198.11/198.34 <=> 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)))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_le__Suc__number__of,axiom,
% 198.11/198.34 ! [V_v_2,V_n_2] :
% 198.11/198.34 ( 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)))
% 198.11/198.34 <=> 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))))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_le__number__of__Suc,axiom,
% 198.11/198.34 ! [V_n_2,V_v_2] :
% 198.11/198.34 ( 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)))
% 198.11/198.34 <=> 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)))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Suc__nat__number__of,axiom,
% 198.11/198.34 ! [V_v] :
% 198.11/198.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.11/198.34 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 198.11/198.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 198.11/198.34 => 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)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_max__Suc__number__of,axiom,
% 198.11/198.34 ! [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)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_max__number__of__Suc,axiom,
% 198.11/198.34 ! [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)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__case__add__eq__if,axiom,
% 198.11/198.34 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__rec__add__eq__if,axiom,
% 198.11/198.34 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),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_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,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))))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_eq__special_I4_J,axiom,
% 198.11/198.34 ! [V_x_2,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 198.11/198.34 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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))))) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_eq__special_I2_J,axiom,
% 198.11/198.34 ! [V_y_2,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => ( c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 198.11/198.34 <=> c_Int_Oiszero(T_a,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_y_2)))) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__rec__number__of,axiom,
% 198.11/198.34 ! [V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_iszero__def,axiom,
% 198.11/198.34 ! [V_z_2,T_a] :
% 198.11/198.34 ( class_Rings_Osemiring__1(T_a)
% 198.11/198.34 => ( c_Int_Oiszero(T_a,V_z_2)
% 198.11/198.34 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_iszero__0,axiom,
% 198.11/198.34 ! [T_a] :
% 198.11/198.34 ( class_Rings_Osemiring__1(T_a)
% 198.11/198.34 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_not__iszero__1,axiom,
% 198.11/198.34 ! [T_a] :
% 198.11/198.34 ( class_Rings_Osemiring__1(T_a)
% 198.11/198.34 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__rec__0,axiom,
% 198.11/198.34 ! [V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 198.11/198.34
% 198.11/198.34 fof(fact_nat__rec__Suc,axiom,
% 198.11/198.34 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a,V_f1_2,V_f2_2),V_nat_2)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_iszero__Numeral0,axiom,
% 198.11/198.34 ! [T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_iszero__number__of__Bit1,axiom,
% 198.11/198.34 ! [V_w,T_a] :
% 198.11/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 & class_Int_Oring__char__0(T_a) )
% 198.11/198.34 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_not__iszero__Numeral1,axiom,
% 198.11/198.34 ! [T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_eq__number__of__eq,axiom,
% 198.11/198.34 ! [V_y_2,V_x_2,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 198.11/198.34 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_eq__special_I1_J,axiom,
% 198.11/198.34 ! [V_y_2,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 198.11/198.34 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_eq__special_I3_J,axiom,
% 198.11/198.34 ! [V_x_2,T_a] :
% 198.11/198.34 ( class_Int_Onumber__ring(T_a)
% 198.11/198.34 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 198.11/198.34 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_zmod__number__of__Bit1,axiom,
% 198.11/198.34 ! [V_v,V_w] :
% 198.11/198.34 ( ( 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)))
% 198.11/198.34 => 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)) )
% 198.11/198.34 & ( ~ 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)))
% 198.11/198.34 => 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)) ) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_neg__zmod__mult__2,axiom,
% 198.11/198.34 ! [V_b,V_a] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.11/198.34 => 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)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_arith__series__int,axiom,
% 198.11/198.34 ! [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)))) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_neg__zdiv__mult__2,axiom,
% 198.11/198.34 ! [V_b,V_a] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.11/198.34 => 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) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I49_J,axiom,
% 198.11/198.34 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I50_J,axiom,
% 198.11/198.34 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_mult__Bit0,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I31_J,axiom,
% 198.11/198.34 ! [V_l_2,V_k_2] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__eq__int__code_I13_J,axiom,
% 198.11/198.34 ! [V_k2_2,V_k1_2] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I48_J,axiom,
% 198.11/198.34 ! [V_l_2,V_k_2] :
% 198.11/198.34 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 198.11/198.34 <=> V_k_2 = V_l_2 ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Bit0__def,axiom,
% 198.11/198.34 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_add__Bit0__Bit0,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_less__int__code_I13_J,axiom,
% 198.11/198.34 ! [V_k2_2,V_k1_2] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I14_J,axiom,
% 198.11/198.34 ! [V_l_2,V_k_2] :
% 198.11/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.11/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_minus__Bit0,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_diff__bin__simps_I7_J,axiom,
% 198.11/198.34 ! [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)) ).
% 198.11/198.34
% 198.11/198.34 fof(fact_Bit0__Pls,axiom,
% 198.11/198.34 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 198.11/198.34
% 198.11/198.34 fof(fact_rel__simps_I38_J,axiom,
% 198.11/198.34 ! [V_l_2] :
% 198.11/198.34 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 198.11/198.34 <=> c_Int_OPls = V_l_2 ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I44_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 198.12/198.34 <=> V_k_2 = c_Int_OPls ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_bin__less__0__simps_I3_J,axiom,
% 198.12/198.34 ! [V_w_2] :
% 198.12/198.34 ( 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)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I21_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I27_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I32_J,axiom,
% 198.12/198.34 ! [V_l_2,V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_less__eq__int__code_I14_J,axiom,
% 198.12/198.34 ! [V_k2_2,V_k1_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I4_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I10_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I16_J,axiom,
% 198.12/198.34 ! [V_l_2,V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_less__int__code_I15_J,axiom,
% 198.12/198.34 ! [V_k2_2,V_k1_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__Bit0__Bit1,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__Bit1__Bit0,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I3_J,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I9_J,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I10_J,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zdiv__number__of__Bit0,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_neg__number__of__Bit0,axiom,
% 198.12/198.34 ! [V_w_2] :
% 198.12/198.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 198.12/198.34 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_pred__Bit1,axiom,
% 198.12/198.34 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_pred__Bit0,axiom,
% 198.12/198.34 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_iszero__number__of__Bit0,axiom,
% 198.12/198.34 ! [V_w_2,T_a] :
% 198.12/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 & class_Int_Oring__char__0(T_a) )
% 198.12/198.34 => ( c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w_2)))
% 198.12/198.34 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_succ__Bit0,axiom,
% 198.12/198.34 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_succ__Bit1,axiom,
% 198.12/198.34 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_nat__number__of__Bit0,axiom,
% 198.12/198.34 ! [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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_number__of__Bit0,axiom,
% 198.12/198.34 ! [V_w,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I15_J,axiom,
% 198.12/198.34 ! [V_l_2,V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_less__int__code_I14_J,axiom,
% 198.12/198.34 ! [V_k2_2,V_k1_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I33_J,axiom,
% 198.12/198.34 ! [V_l_2,V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_less__eq__int__code_I15_J,axiom,
% 198.12/198.34 ! [V_k2_2,V_k1_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_card__UNIV__bool,axiom,
% 198.12/198.34 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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mult__Bit1,axiom,
% 198.12/198.34 ! [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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I8_J,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__Bit1__Bit1,axiom,
% 198.12/198.34 ! [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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__number__of__even,axiom,
% 198.12/198.34 ! [V_w_2,V_z_2,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zpower__number__of__even,axiom,
% 198.12/198.34 ! [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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_double__number__of__Bit0,axiom,
% 198.12/198.34 ! [V_w,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_number__of1,axiom,
% 198.12/198.34 ! [V_n] :
% 198.12/198.34 ( 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)))
% 198.12/198.34 => ( 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))))
% 198.12/198.34 & 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)))) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 198.12/198.34 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__number__of__even__number__of,axiom,
% 198.12/198.34 ! [V_w_2,V_v_2,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mult__2__right,axiom,
% 198.12/198.34 ! [V_z,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mult__2,axiom,
% 198.12/198.34 ! [V_z,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_one__add__one__is__two,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zero__power2,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zero__eq__power2,axiom,
% 198.12/198.34 ! [V_a_2,T_a] :
% 198.12/198.34 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 198.12/198.34 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a)
% 198.12/198.34 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_semiring__norm_I115_J,axiom,
% 198.12/198.34 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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_numeral__2__eq__2,axiom,
% 198.12/198.34 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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 198.12/198.34 ! [V_x,T_a] :
% 198.12/198.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.12/198.34 => 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)))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__eq__square,axiom,
% 198.12/198.34 ! [V_a,T_a] :
% 198.12/198.34 ( class_Groups_Omonoid__mult(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 198.12/198.34 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))))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__2__eq__Suc_H,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__2__eq__Suc,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_one__power2,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__minus,axiom,
% 198.12/198.34 ! [V_a,T_a] :
% 198.12/198.34 ( class_Rings_Oring__1(T_a)
% 198.12/198.34 => 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)))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_nat__mult__2__right,axiom,
% 198.12/198.34 ! [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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_nat__mult__2,axiom,
% 198.12/198.34 ! [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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__even__eq,axiom,
% 198.12/198.34 ! [V_n,V_a,T_a] :
% 198.12/198.34 ( class_Groups_Omonoid__mult(T_a)
% 198.12/198.34 => 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)))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 198.12/198.34 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)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 198.12/198.34 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)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_abs__power2,axiom,
% 198.12/198.34 ! [V_a,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => 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)))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__abs,axiom,
% 198.12/198.34 ! [V_a,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => 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)))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_nat__1__add__1,axiom,
% 198.12/198.34 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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mod2__Suc__Suc,axiom,
% 198.12/198.34 ! [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)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_div2__Suc__Suc,axiom,
% 198.12/198.34 ! [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))))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zmod__number__of__Bit0,axiom,
% 198.12/198.34 ! [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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__self__div__2,axiom,
% 198.12/198.34 ! [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 ).
% 198.12/198.34
% 198.12/198.34 fof(fact_half__gt__zero,axiom,
% 198.12/198.34 ! [V_r,T_a] :
% 198.12/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.12/198.34 & class_Int_Onumber__ring(T_a) )
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 198.12/198.34 => 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)))))) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_half__gt__zero__iff,axiom,
% 198.12/198.34 ! [V_r_2,T_a] :
% 198.12/198.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 198.12/198.34 & class_Int_Onumber__ring(T_a) )
% 198.12/198.34 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r_2)) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__eq__imp__eq,axiom,
% 198.12/198.34 ! [V_y,V_x,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__semidom(T_a)
% 198.12/198.34 => ( 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))))
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.12/198.34 => V_x = V_y ) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__le__imp__le,axiom,
% 198.12/198.34 ! [V_y,V_x,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__semidom(T_a)
% 198.12/198.34 => ( 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))))))
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.12/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zero__le__power2,axiom,
% 198.12/198.34 ! [V_a,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => 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)))))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__less__0,axiom,
% 198.12/198.34 ! [V_a,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ~ 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))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zero__less__power2,axiom,
% 198.12/198.34 ! [V_a_2,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 198.12/198.34 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_sum__power2__eq__zero__iff,axiom,
% 198.12/198.34 ! [V_y_2,V_x_2,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a)
% 198.12/198.34 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 198.12/198.34 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__eq__square__number__of,axiom,
% 198.12/198.34 ! [V_w,T_b] :
% 198.12/198.34 ( ( class_Groups_Omonoid__mult(T_b)
% 198.12/198.34 & class_Int_Onumber(T_b) )
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_less__2__cases,axiom,
% 198.12/198.34 ! [V_n] :
% 198.12/198.34 ( 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)))))
% 198.12/198.34 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.34 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_nat__2,axiom,
% 198.12/198.34 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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__eq__1__iff,axiom,
% 198.12/198.34 ! [V_a_2,T_a] :
% 198.12/198.34 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 198.12/198.34 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a)
% 198.12/198.34 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_a)
% 198.12/198.34 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 198.12/198.34 ! [V_n,V_x,T_a] :
% 198.12/198.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__minus__even,axiom,
% 198.12/198.34 ! [V_n,V_a,T_a] :
% 198.12/198.34 ( class_Rings_Oring__1(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__less__imp__less,axiom,
% 198.12/198.34 ! [V_y,V_x,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__semidom(T_a)
% 198.12/198.34 => ( 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))))))
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 198.12/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_sum__power2__ge__zero,axiom,
% 198.12/198.34 ! [V_y,V_x,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => 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))))))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_sum__power2__le__zero__iff,axiom,
% 198.12/198.34 ! [V_y_2,V_x_2,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a)))
% 198.12/198.34 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 198.12/198.34 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_sum__power2__gt__zero__iff,axiom,
% 198.12/198.34 ! [V_y_2,V_x_2,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ( 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),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 198.12/198.34 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 198.12/198.34 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_not__sum__power2__lt__zero,axiom,
% 198.12/198.34 ! [V_y,V_x,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ~ 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))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__sum,axiom,
% 198.12/198.34 ! [V_y,V_x,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zero__le__even__power_H,axiom,
% 198.12/198.34 ! [V_n,V_a,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => 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)))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 198.12/198.34 ! [V_n,V_x,T_a] :
% 198.12/198.34 ( class_Rings_Ocomm__semiring__1(T_a)
% 198.12/198.34 => 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))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__odd__eq,axiom,
% 198.12/198.34 ! [V_n,V_a,T_a] :
% 198.12/198.34 ( class_Groups_Omonoid__mult(T_a)
% 198.12/198.34 => 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))))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__minus1__even,axiom,
% 198.12/198.34 ! [V_n,T_a] :
% 198.12/198.34 ( class_Rings_Oring__1(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zdiv__number__of__Bit1,axiom,
% 198.12/198.34 ! [V_v,V_w] :
% 198.12/198.34 ( ( 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)))
% 198.12/198.34 => 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)) )
% 198.12/198.34 & ( ~ 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)))
% 198.12/198.34 => 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)) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mod2__gr__0,axiom,
% 198.12/198.34 ! [V_m_2] :
% 198.12/198.34 ( 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))))))
% 198.12/198.34 <=> 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_div__2__gt__zero,axiom,
% 198.12/198.34 ! [V_n] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 198.12/198.34 => 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)))))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power2__diff,axiom,
% 198.12/198.34 ! [V_y,V_x,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 198.12/198.34 ! [V_n,V_a,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ( 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)))))
% 198.12/198.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_odd__power__less__zero,axiom,
% 198.12/198.34 ! [V_n,V_a,T_a] :
% 198.12/198.34 ( class_Rings_Olinordered__idom(T_a)
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 198.12/198.34 => 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))) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__minus1__odd,axiom,
% 198.12/198.34 ! [V_n,T_a] :
% 198.12/198.34 ( class_Rings_Oring__1(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 198.12/198.34 ! [V_n] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.12/198.34 => 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)))))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_of__nat__double,axiom,
% 198.12/198.34 ! [V_x,T_a] :
% 198.12/198.34 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 198.12/198.34 => 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))) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_pos__zmod__mult__2,axiom,
% 198.12/198.34 ! [V_b,V_a] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.34 => 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))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_pos__zdiv__mult__2,axiom,
% 198.12/198.34 ! [V_b,V_a] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_int__of__code,axiom,
% 198.12/198.34 ! [V_k] :
% 198.12/198.34 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.34 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.12/198.34 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.34 => ( ( 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)
% 198.12/198.34 => 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)))))) )
% 198.12/198.34 & ( 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)
% 198.12/198.34 => 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)) ) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_of__int__num,axiom,
% 198.12/198.34 ! [V_k_2,T_a] :
% 198.12/198.34 ( class_Rings_Oring__1(T_a)
% 198.12/198.34 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.34 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = c_Groups_Ozero__class_Ozero(T_a) )
% 198.12/198.34 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.34 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 198.12/198.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.34 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),T_a),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),tc_Int_Oint),c_COMBB(tc_fun(T_a,T_a),T_a,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,T_a),T_a),tc_Int_Oint),c_HOL_OLet(T_a,T_a)),c_Int_Oring__1__class_Oof__int(T_a)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_a)),tc_Int_Oint),c_COMBS(T_a,T_a,T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),tc_Int_Oint),c_COMBB(T_a,tc_fun(T_a,T_a),T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),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_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a))))),hAPP(hAPP(c_COMBC(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Oplus__class_Oplus(T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a)))),c_Groups_Oone__class_Oone(T_a))))),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))))) ) ) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__m1__odd,axiom,
% 198.12/198.34 ! [V_n,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_power__m1__even,axiom,
% 198.12/198.34 ! [V_n,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I45_J,axiom,
% 198.12/198.34 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I42_J,axiom,
% 198.12/198.34 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I37_J,axiom,
% 198.12/198.34 c_Int_OPls != c_Int_OMin ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I40_J,axiom,
% 198.12/198.34 c_Int_OMin != c_Int_OPls ).
% 198.12/198.34
% 198.12/198.34 fof(fact_code__numeral__zero__minus__one,axiom,
% 198.12/198.34 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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I7_J,axiom,
% 198.12/198.34 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I24_J,axiom,
% 198.12/198.34 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I47_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 198.12/198.34 <=> V_k_2 = c_Int_OMin ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I43_J,axiom,
% 198.12/198.34 ! [V_l_2] :
% 198.12/198.34 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 198.12/198.34 <=> c_Int_OMin = V_l_2 ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_Bit1__Min,axiom,
% 198.12/198.34 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 198.12/198.34
% 198.12/198.34 fof(fact_bin__less__0__simps_I2_J,axiom,
% 198.12/198.34 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I20_J,axiom,
% 198.12/198.34 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I23_J,axiom,
% 198.12/198.34 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I30_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I26_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I3_J,axiom,
% 198.12/198.34 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I6_J,axiom,
% 198.12/198.34 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I13_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I9_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I28_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I8_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_eq__number__of__Pls__Min,axiom,
% 198.12/198.34 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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_Int_OMin__def,axiom,
% 198.12/198.34 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mult__Min,axiom,
% 198.12/198.34 ! [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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_neg__number__of__Min,axiom,
% 198.12/198.34 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_pred__Pls,axiom,
% 198.12/198.34 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__Min__right,axiom,
% 198.12/198.34 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_add__Min,axiom,
% 198.12/198.34 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_pred__Min,axiom,
% 198.12/198.34 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_nonzero__number__of__Min,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_succ__Min,axiom,
% 198.12/198.34 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I2_J,axiom,
% 198.12/198.34 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mult__minus1__right,axiom,
% 198.12/198.34 ! [V_z,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_mult__minus1,axiom,
% 198.12/198.34 ! [V_z,T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_number__of__Min,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_arith__simps_I31_J,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_abs__minus__one,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_divide__minus1,axiom,
% 198.12/198.34 ! [V_x,T_a] :
% 198.12/198.34 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 198.12/198.34 & class_Int_Onumber__ring(T_a) )
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I11_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_rel__simps_I25_J,axiom,
% 198.12/198.34 ! [V_k_2] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 198.12/198.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zmod__minus1__right,axiom,
% 198.12/198.34 ! [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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I4_J,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_minus__Min,axiom,
% 198.12/198.34 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 198.12/198.34 ! [V_n,V_m] :
% 198.12/198.34 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.12/198.34 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.12/198.34 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zmult__eq__1__iff,axiom,
% 198.12/198.34 ! [V_n_2,V_m_2] :
% 198.12/198.34 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.12/198.34 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 198.12/198.34 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 198.12/198.34 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 198.12/198.34 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I5_J,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_diff__bin__simps_I6_J,axiom,
% 198.12/198.34 ! [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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_of__int__m1,axiom,
% 198.12/198.34 ! [T_a] :
% 198.12/198.34 ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zdiv__minus1__right,axiom,
% 198.12/198.34 ! [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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zero__code__numeral__code,axiom,
% 198.12/198.34 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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_minus1__divide,axiom,
% 198.12/198.34 ! [V_x,T_a] :
% 198.12/198.34 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 198.12/198.34 & class_Int_Onumber__ring(T_a) )
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_abs__power__minus__one,axiom,
% 198.12/198.34 ! [V_n,T_a] :
% 198.12/198.34 ( ( class_Int_Onumber__ring(T_a)
% 198.12/198.34 & class_Rings_Olinordered__idom(T_a) )
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_div__eq__minus1,axiom,
% 198.12/198.34 ! [V_b] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.34 => 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) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_div__pos__neg__trivial,axiom,
% 198.12/198.34 ! [V_b,V_a] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.34 => ( 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)))
% 198.12/198.34 => 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) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zmod__minus1,axiom,
% 198.12/198.34 ! [V_b] :
% 198.12/198.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.34 => 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)) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_one__code__numeral__code,axiom,
% 198.12/198.34 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)) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_Nitpick_OFrac__def,axiom,
% 198.12/198.34 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)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_int__ge__less__than__def,axiom,
% 198.12/198.34 ! [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)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_int__ge__less__than2__def,axiom,
% 198.12/198.34 ! [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)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_code__numeral_Osize_I1_J,axiom,
% 198.12/198.34 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) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_Nitpick_Oprod__def,axiom,
% 198.12/198.34 ! [V_B_2,V_A_2,T_b,T_a] : c_Nitpick_Oprod(T_a,T_b,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_nat__of__aux__code,axiom,
% 198.12/198.34 ! [V_n,V_i] :
% 198.12/198.34 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.34 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 198.12/198.34 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.34 => 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)) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_divmod__int__rel__def,axiom,
% 198.12/198.34 ! [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))))))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_divmod__int__correct,axiom,
% 198.12/198.34 ! [V_a,V_b] :
% 198.12/198.34 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.34 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_code__numeral_Osize_I2_J,axiom,
% 198.12/198.34 ! [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))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_finite__psubset__def,axiom,
% 198.12/198.34 ! [T_a] : c_Wellfounded_Ofinite__psubset(T_a) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_a)))) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_zmult2__lemma,axiom,
% 198.12/198.34 ! [V_c,V_r,V_q,V_b,V_a] :
% 198.12/198.34 ( 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)))
% 198.12/198.34 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 198.12/198.34 => 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)))) ) ) ) ).
% 198.12/198.34
% 198.12/198.34 fof(fact_code__numeral_Oinject,axiom,
% 198.12/198.34 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 198.12/198.35 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 198.12/198.35 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_sup__Un__eq2,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inf__Int__eq2,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pred__subset__eq2,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pred__equals__eq2,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,T_b,T_a] :
% 198.12/198.35 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)
% 198.12/198.35 <=> V_R_2 = V_S_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_bot__empty__eq2,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 198.12/198.35 ! [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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 198.12/198.35 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_unique__remainder,axiom,
% 198.12/198.35 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( 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)))
% 198.12/198.35 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => V_r = V_r_H ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_unique__quotient,axiom,
% 198.12/198.35 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( 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)))
% 198.12/198.35 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => V_q = V_q_H ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_self__remainder,axiom,
% 198.12/198.35 ! [V_r,V_q,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__rel__0,axiom,
% 198.12/198.35 ! [V_b] :
% 198.12/198.35 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_SUP__UN__eq2,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c))))),V_r_2)),V_x_2),V_y_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_self__quotient,axiom,
% 198.12/198.35 ! [V_r,V_q,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__rel__mod,axiom,
% 198.12/198.35 ! [V_r,V_q,V_b,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__rel__div,axiom,
% 198.12/198.35 ! [V_r,V_q,V_b,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__mod__div,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Suc__code__numeral__minus__one,axiom,
% 198.12/198.35 ! [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 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__rel__div__mod,axiom,
% 198.12/198.35 ! [V_a,V_b] :
% 198.12/198.35 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_zadd1__lemma,axiom,
% 198.12/198.35 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( 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)))
% 198.12/198.35 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_zminus1__lemma,axiom,
% 198.12/198.35 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => 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))))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__relI,axiom,
% 198.12/198.35 ! [V_r,V_q,V_b,V_a] :
% 198.12/198.35 ( 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)
% 198.12/198.35 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 198.12/198.35 => 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))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_zmult1__lemma,axiom,
% 198.12/198.35 ! [V_a,V_r,V_q,V_c,V_b] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pair__imageI,axiom,
% 198.12/198.35 ! [V_f_2,T_c,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),V_A_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_norm__frac_Osimps,axiom,
% 198.12/198.35 ! [V_a_2,V_b_2] :
% 198.12/198.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.12/198.35 => 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))) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_adjust__eq,axiom,
% 198.12/198.35 ! [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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_sup2CI,axiom,
% 198.12/198.35 ! [T_b,T_a,V_A_2,V_y_2,V_x_2,V_B_2] :
% 198.12/198.35 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_sup2E,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 198.12/198.35 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inf2E,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 198.12/198.35 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 198.12/198.35 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inf2I,axiom,
% 198.12/198.35 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mem__splitI,axiom,
% 198.12/198.35 ! [T_c,T_b,V_b_2,V_a_2,V_c_2,V_z_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_splitI,axiom,
% 198.12/198.35 ! [T_b,T_a,V_b_2,V_a_2,V_f_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_prod__caseI,axiom,
% 198.12/198.35 ! [T_b,T_a,V_b_2,V_a_2,V_f1_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_bot2E,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,T_b,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_splitD_H,axiom,
% 198.12/198.35 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_c,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_c_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_less__by__empty,axiom,
% 198.12/198.35 ! [V_B_2,T_a,V_A_2] :
% 198.12/198.35 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_predicate2D,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rev__predicate2D,axiom,
% 198.12/198.35 ! [V_Q_2,T_b,T_a,V_y_2,V_x_2,V_P_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inf2D2,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inf2D1,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_sup2I2,axiom,
% 198.12/198.35 ! [V_A_2,T_b,T_a,V_y_2,V_x_2,V_B_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_sup2I1,axiom,
% 198.12/198.35 ! [V_B_2,T_b,T_a,V_y_2,V_x_2,V_A_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Pair__inject,axiom,
% 198.12/198.35 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 198.12/198.35 ( 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)
% 198.12/198.35 => ~ ( V_a = V_a_H
% 198.12/198.35 => V_b != V_b_H ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Pair__eq,axiom,
% 198.12/198.35 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.35 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)
% 198.12/198.35 <=> ( V_a_2 = V_a_H_2
% 198.12/198.35 & V_b_2 = V_b_H_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__paired__All,axiom,
% 198.12/198.35 ! [T_b,T_a,V_P_2] :
% 198.12/198.35 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 198.12/198.35 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__weak__cong,axiom,
% 198.12/198.35 ! [V_c_2,T_c,T_b,T_a,V_q_2,V_p_2] :
% 198.12/198.35 ( V_p_2 = V_q_2
% 198.12/198.35 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_c_2),V_q_2) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_in__finite__psubset,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_a)))
% 198.12/198.35 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.35 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__twice,axiom,
% 198.12/198.35 ! [V_p_2,V_g_2,T_e,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_b,T_c)),tc_fun(T_e,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2))),V_g_2)),V_p_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__conv,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_prod_Osimps_I2_J,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_splitD,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__eta,axiom,
% 198.12/198.35 ! [V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,T_c),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),T_c,T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b))) = V_f_2 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_The__split__eq,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__paired__The,axiom,
% 198.12/198.35 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),V_P_2) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_adjust__def,axiom,
% 198.12/198.35 ! [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))))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_in__rel__def,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__mod__code__numeral__def,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 198.12/198.35 ! [V_w] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( 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))))
% 198.12/198.35 => 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))) )
% 198.12/198.35 & ( ~ 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))))
% 198.12/198.35 => 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)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg__correct,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg__div__mod,axiom,
% 198.12/198.35 ! [V_l,V_k] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg__minus1,axiom,
% 198.12/198.35 ! [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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg_Osimps,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( ( ( 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)))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ ( 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)))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg__eqn,axiom,
% 198.12/198.35 ! [V_a,V_b] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => ( ( 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)))
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ 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)))
% 198.12/198.35 => 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))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg__eqn__number__of,axiom,
% 198.12/198.35 ! [V_w,V_v] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( 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))))
% 198.12/198.35 => 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))) )
% 198.12/198.35 & ( ~ 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))))
% 198.12/198.35 => 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)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nitpick_Orefl_H__def,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Nitpick_Orefl_H(T_a,V_r_2)
% 198.12/198.35 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 198.12/198.35 ! [V_w] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( 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)))
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ 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)))
% 198.12/198.35 => 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)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg_Osimps,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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) )
% 198.12/198.35 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg__0,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg__correct,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg__div__mod,axiom,
% 198.12/198.35 ! [V_l,V_k] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg__eqn,axiom,
% 198.12/198.35 ! [V_a,V_b] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 198.12/198.35 => 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) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 198.12/198.35 => 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))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg__eqn__number__of,axiom,
% 198.12/198.35 ! [V_w,V_v] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( 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)))
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ 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)))
% 198.12/198.35 => 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)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__def,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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))) ) ) ) ) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => 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))) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__step,axiom,
% 198.12/198.35 ! [V_m,V_n] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__pdivmod,axiom,
% 198.12/198.35 ! [V_l_2,V_k_2] :
% 198.12/198.35 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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) )
% 198.12/198.35 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)))) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negateSnd__def,axiom,
% 198.12/198.35 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_apsnd__conv,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__zero,axiom,
% 198.12/198.35 ! [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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__base,axiom,
% 198.12/198.35 ! [V_n,V_m] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 198.12/198.35 => 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) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negateSnd__eq,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__div__mod,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__rel__neg,axiom,
% 198.12/198.35 ! [V_qr,V_b,V_a] :
% 198.12/198.35 ( 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))
% 198.12/198.35 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__if,axiom,
% 198.12/198.35 ! [V_m_2,V_n_2] :
% 198.12/198.35 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 198.12/198.35 => 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) )
% 198.12/198.35 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pdivmod__def,axiom,
% 198.12/198.35 ! [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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pdivmod__posDivAlg,axiom,
% 198.12/198.35 ! [V_k,V_l] :
% 198.12/198.35 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__int__code,axiom,
% 198.12/198.35 ! [V_l_2,V_k_2] :
% 198.12/198.35 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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) )
% 198.12/198.35 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 => 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)))) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_code__numeral_Osize_I4_J,axiom,
% 198.12/198.35 ! [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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 198.12/198.35 ! [V_c,V_r,V_q,V_b,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 198.12/198.35 => 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)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 198.12/198.35 ! [V_a,V_r,V_q,V_c,V_b] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 198.12/198.35 => 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)))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__rel__unique,axiom,
% 198.12/198.35 ! [V_qr_H,V_qr,V_n,V_m] :
% 198.12/198.35 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 198.12/198.35 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 198.12/198.35 => V_qr = V_qr_H ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 198.12/198.35 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__eq,axiom,
% 198.12/198.35 ! [V_qr,V_n,V_m] :
% 198.12/198.35 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 198.12/198.35 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__def,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__eq,axiom,
% 198.12/198.35 ! [V_r,V_q,V_n,V_m] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__eq,axiom,
% 198.12/198.35 ! [V_r,V_q,V_n,V_m] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__rel,axiom,
% 198.12/198.35 ! [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)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_code__numeral_Osize_I3_J,axiom,
% 198.12/198.35 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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 198.12/198.35 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( 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)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 198.12/198.35 => 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)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg_Opsimps,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( ( 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)))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ ( 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)))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg_Opsimps,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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) )
% 198.12/198.35 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => 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))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__pos__neg__1__number__of,axiom,
% 198.12/198.35 ! [V_w] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => 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))))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_apsnd__eq__conv,axiom,
% 198.12/198.35 ! [V_g_2,V_x_2,V_f_2,T_a,T_b,T_c] :
% 198.12/198.35 ( hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_g_2),V_x_2)
% 198.12/198.35 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_snd__apsnd,axiom,
% 198.12/198.35 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapsnd(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_accp__downward,axiom,
% 198.12/198.35 ! [V_a_2,V_b_2,V_r_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 198.12/198.35 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_accp_Oequations,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 198.12/198.35 <=> ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 198.12/198.35 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_accp_Osimps,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 198.12/198.35 <=> ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 198.12/198.35 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_snd__conv,axiom,
% 198.12/198.35 ! [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 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_snd__eqD,axiom,
% 198.12/198.35 ! [V_a,V_y,V_x,T_a,T_b] :
% 198.12/198.35 ( 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
% 198.12/198.35 => V_y = V_a ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_snd__def,axiom,
% 198.12/198.35 ! [V_p_2,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,T_a),hAPP(c_COMBK(tc_fun(T_a,T_a),T_b),c_COMBI(T_a))),V_p_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__int__def,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_accp__subset,axiom,
% 198.12/198.35 ! [V_R2_2,V_R1_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__neg__pos,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__pos__pos,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__pos__pos__1__number__of,axiom,
% 198.12/198.35 ! [V_w] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => 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))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__pos__neg,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => 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)))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__neg__neg,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => 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)))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_norm__frac_Opsimps,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.12/198.35 => 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)) )
% 198.12/198.35 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 198.12/198.35 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 198.12/198.35 => 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))) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_negDivAlg_Opinduct,axiom,
% 198.12/198.35 ! [V_P_2,V_a1_2,V_a0_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ! [B_a,B_b] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( ~ ( 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)))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_posDivAlg_Opinduct,axiom,
% 198.12/198.35 ! [V_P_2,V_a1_2,V_a0_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ! [B_a,B_b] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 198.12/198.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mod__nat__def,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_nat__gcd_Opsimps,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.35 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 198.12/198.35 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.35 => 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)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_in__measure,axiom,
% 198.12/198.35 ! [V_f_2,V_y_2,V_x_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)))
% 198.12/198.35 <=> 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))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_norm__frac_Opinduct,axiom,
% 198.12/198.35 ! [V_P_2,V_a1_2,V_a0_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ! [B_a,B_b] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__pos__neg__1__number__of,axiom,
% 198.12/198.35 ! [V_w] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => 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))))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_nat__def,axiom,
% 198.12/198.35 ! [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)))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_nat__gcd_Opinduct,axiom,
% 198.12/198.35 ! [V_P_2,V_a1_2,V_a0_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ! [B_x,B_y] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_prod__eqI,axiom,
% 198.12/198.35 ! [V_q,V_p,T_b,T_a] :
% 198.12/198.35 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 198.12/198.35 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 198.12/198.35 => V_p = V_q ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Pair__fst__snd__eq,axiom,
% 198.12/198.35 ! [T_b,T_a,V_t_2,V_s_2] :
% 198.12/198.35 ( V_s_2 = V_t_2
% 198.12/198.35 <=> ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_t_2)
% 198.12/198.35 & hAPP(c_Product__Type_Osnd(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_t_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_fst__eqD,axiom,
% 198.12/198.35 ! [V_a,V_y,V_x,T_b,T_a] :
% 198.12/198.35 ( 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
% 198.12/198.35 => V_x = V_a ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_fst__conv,axiom,
% 198.12/198.35 ! [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 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Rep__Integ__inject,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2] :
% 198.12/198.35 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 198.12/198.35 <=> V_x_2 = V_y_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_fst__def,axiom,
% 198.12/198.35 ! [V_p_2,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_a),c_COMBK(T_a,T_b)),V_p_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_fst__apsnd,axiom,
% 198.12/198.35 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_a,T_c),V_x_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pair__collapse,axiom,
% 198.12/198.35 ! [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 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_surjective__pairing,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_prod__case__beta,axiom,
% 198.12/198.35 ! [V_p_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__int__def,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__comp__eq,axiom,
% 198.12/198.35 ! [V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),tc_prod(T_a,T_b)),V_f_2),hAPP(hAPP(c_COMBB(T_a,T_d,tc_prod(T_a,T_b)),V_g_2),c_Product__Type_Ofst(T_a,T_b)))),c_Product__Type_Osnd(T_a,T_b)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),T_a),V_f_2),V_g_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__beta,axiom,
% 198.12/198.35 ! [V_z_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_z_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_z_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_split__def,axiom,
% 198.12/198.35 ! [V_p_2,V_c_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_The__split,axiom,
% 198.12/198.35 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__neg__pos,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__pos__pos,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__pos__pos__1__number__of,axiom,
% 198.12/198.35 ! [V_w] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => 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))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__pos__neg,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => 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)))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__neg__neg,axiom,
% 198.12/198.35 ! [V_b,V_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 198.12/198.35 => 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)))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_prod__size__simp,axiom,
% 198.12/198.35 ! [V_p_2,V_g_2,V_f_2,T_b,T_a] : c_Product__Type_Oprod_Oprod__size(T_a,T_b,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_a,T_b),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_conjI__realizer,axiom,
% 198.12/198.35 ! [T_b,T_a,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 198.12/198.35 ( hBOOL(hAPP(V_P_2,V_p_2))
% 198.12/198.35 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 198.12/198.35 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2))))
% 198.12/198.35 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_exI__realizer,axiom,
% 198.12/198.35 ! [T_a,T_b,V_x_2,V_y_2,V_P_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_div__nat__def,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_divmod__nat__rel__def,axiom,
% 198.12/198.35 ! [V_qr_2,V_n_2,V_m_2] :
% 198.12/198.35 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 198.12/198.35 <=> ( 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))
% 198.12/198.35 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.35 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.12/198.35 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 198.12/198.35 => ( 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)))
% 198.12/198.35 & 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)) ) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 198.12/198.35 => ( 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)))
% 198.12/198.35 & 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))) ) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mlex__leq,axiom,
% 198.12/198.35 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mlex__less,axiom,
% 198.12/198.35 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 198.12/198.35 ( 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)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_prod_Orecs,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nats__number__of,axiom,
% 198.12/198.35 ! [V_w_2,T_a] :
% 198.12/198.35 ( class_Int_Onumber__ring(T_a)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_in__lex__prod,axiom,
% 198.12/198.35 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))
% 198.12/198.35 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_H_2)),V_r_2))
% 198.12/198.35 | ( V_a_2 = V_a_H_2
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_apfst__apsnd,axiom,
% 198.12/198.35 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_apfst__conv,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_apfst__eq__conv,axiom,
% 198.12/198.35 ! [V_g_2,V_x_2,V_f_2,T_b,T_a,T_c] :
% 198.12/198.35 ( hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_g_2),V_x_2)
% 198.12/198.35 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_fst__apfst,axiom,
% 198.12/198.35 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_snd__apfst,axiom,
% 198.12/198.35 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapfst(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_c,T_a),V_x_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_apsnd__apfst__commute,axiom,
% 198.12/198.35 ! [V_p_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,V_g_2),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_d,V_f_2),V_p_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nats__0,axiom,
% 198.12/198.35 ! [T_a] :
% 198.12/198.35 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nats__add,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,T_a] :
% 198.12/198.35 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nats__mult,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,T_a] :
% 198.12/198.35 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nats__1,axiom,
% 198.12/198.35 ! [T_a] :
% 198.12/198.35 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_of__nat__in__Nats,axiom,
% 198.12/198.35 ! [V_n_2,T_a] :
% 198.12/198.35 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_apsnd__apfst,axiom,
% 198.12/198.35 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_d,T_c),V_x_2))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_same__fstI,axiom,
% 198.12/198.35 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_P_2] :
% 198.12/198.35 ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pair__lessI2,axiom,
% 198.12/198.35 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__ext__additive,axiom,
% 198.12/198.35 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pair__lessI1,axiom,
% 198.12/198.35 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 198.12/198.35 => 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)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__extp__max__ext__eq,axiom,
% 198.12/198.35 ! [V_xa_2,V_x_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Omax__extp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_R_2),V_x_2,V_xa_2)
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pair__leqI2,axiom,
% 198.12/198.35 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_smin__insertI,axiom,
% 198.12/198.35 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => 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)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_smin__emptyI,axiom,
% 198.12/198.35 ! [V_X_2] :
% 198.12/198.35 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 198.12/198.35 => 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)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pair__leqI1,axiom,
% 198.12/198.35 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 198.12/198.35 => 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)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wmax__insertI,axiom,
% 198.12/198.35 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => 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)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wmin__insertI,axiom,
% 198.12/198.35 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => 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)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_smax__insertI,axiom,
% 198.12/198.35 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => ( 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))
% 198.12/198.35 => 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)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__strict__def,axiom,
% 198.12/198.35 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wmax__emptyI,axiom,
% 198.12/198.35 ! [V_X_2] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 198.12/198.35 => 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)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_smax__emptyI,axiom,
% 198.12/198.35 ! [V_Y_2] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 198.12/198.35 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 198.12/198.35 => 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)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wmin__emptyI,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__weak__def,axiom,
% 198.12/198.35 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)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_min__weak__def,axiom,
% 198.12/198.35 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)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__rpair__set,axiom,
% 198.12/198.35 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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_min__rpair__set,axiom,
% 198.12/198.35 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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_min__strict__def,axiom,
% 198.12/198.35 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_less__than__iff,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2] :
% 198.12/198.35 ( 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))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_intrel__iff,axiom,
% 198.12/198.35 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 198.12/198.35 ( 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))
% 198.12/198.35 <=> 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) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rp__inv__image__rp,axiom,
% 198.12/198.35 ! [V_f_2,T_b,V_P_2,T_a] :
% 198.12/198.35 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 198.12/198.35 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_FunDef_Orp__inv__image(T_a,T_b),V_P_2),V_f_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pair__less__def,axiom,
% 198.12/198.35 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mlex__prod__def,axiom,
% 198.12/198.35 ! [V_R_2,V_f_2,T_a] : c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_a),T_a),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(tc_Nat_Onat,T_a)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_prod(tc_Nat_Onat,T_a)),T_a),c_Product__Type_OPair(tc_Nat_Onat,T_a)),V_f_2)),c_COMBI(T_a))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rp__inv__image__def,axiom,
% 198.12/198.35 ! [T_b,T_a] : c_FunDef_Orp__inv__image(T_a,T_b) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_COMBS(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(T_b,T_a)),c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))),c_Relation_Oinv__image(T_a,T_b))))),c_Relation_Oinv__image(T_a,T_b))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equiv__intrel__iff,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2] :
% 198.12/198.35 ( 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))))
% 198.12/198.35 <=> 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)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_measure__def,axiom,
% 198.12/198.35 ! [T_a] : c_Wellfounded_Omeasure(T_a) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_a),c_Wellfounded_Oless__than) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__singleton,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_a))),hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2))),V_r_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__singleton__iff,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,T_b,V_b_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inv__image__def,axiom,
% 198.12/198.35 ! [V_f_2,V_r_2,T_a,T_b] : hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_b,T_b)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),T_a),c_COMBB(T_b,tc_prod(T_b,T_b),T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_prod(T_b,T_b)),T_a),c_Product__Type_OPair(T_b,T_b)),V_f_2))),V_f_2)))),V_r_2))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__empty,axiom,
% 198.12/198.35 ! [V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__Un,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__UN,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,T_c,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__Int__subset,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__mono,axiom,
% 198.12/198.35 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Un__Image,axiom,
% 198.12/198.35 ! [V_A_2,V_S_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_S_2),V_A_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_in__inv__image,axiom,
% 198.12/198.35 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2)))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__iff,axiom,
% 198.12/198.35 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 198.12/198.35 <=> ? [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rev__ImageI,axiom,
% 198.12/198.35 ! [V_r_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__eq__UN,axiom,
% 198.12/198.35 ! [V_B_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_of__int,axiom,
% 198.12/198.35 ! [V_j_2,V_i_2,T_a] :
% 198.12/198.35 ( class_Rings_Oring__1(T_a)
% 198.12/198.35 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),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_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_j_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_One__int__def,axiom,
% 198.12/198.35 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))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mult,axiom,
% 198.12/198.35 ! [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))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Rep__Integ__inverse,axiom,
% 198.12/198.35 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_minus,axiom,
% 198.12/198.35 ! [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))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Zero__int__def,axiom,
% 198.12/198.35 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))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_int__def,axiom,
% 198.12/198.35 ! [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))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_add,axiom,
% 198.12/198.35 ! [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))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_nat,axiom,
% 198.12/198.35 ! [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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_minus__int__def,axiom,
% 198.12/198.35 ! [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))))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_less,axiom,
% 198.12/198.35 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 198.12/198.35 ( 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)))))))
% 198.12/198.35 <=> 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))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_le,axiom,
% 198.12/198.35 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 198.12/198.35 ( 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)))))))
% 198.12/198.35 <=> 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))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_irrefl__def,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Relation_Oirrefl(T_a,V_r_2)
% 198.12/198.35 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_eq__Abs__Integ,axiom,
% 198.12/198.35 ! [V_z_2] :
% 198.12/198.35 ~ ! [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))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Field__insert,axiom,
% 198.12/198.35 ! [V_r_2,V_b_2,V_a_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_a),V_r_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Field__empty,axiom,
% 198.12/198.35 ! [T_a] : hAPP(c_Relation_OField(T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_mono__Field,axiom,
% 198.12/198.35 ! [V_s_2,V_r_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Field__Un,axiom,
% 198.12/198.35 ! [V_s_2,V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__Field,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 198.12/198.35 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_OField(T_a),V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Id__on__def,axiom,
% 198.12/198.35 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__def,axiom,
% 198.12/198.35 ! [V_r_2,V_A_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),c_Relation_OImage(T_a,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_ImageE,axiom,
% 198.12/198.35 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 198.12/198.35 => ~ ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2))
% 198.12/198.35 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__empty,axiom,
% 198.12/198.35 ! [V_r_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__is__empty2,axiom,
% 198.12/198.35 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)
% 198.12/198.35 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__is__empty,axiom,
% 198.12/198.35 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 198.12/198.35 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Id__on__def_H,axiom,
% 198.12/198.35 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),c_fequal))),V_A_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Id__on__empty,axiom,
% 198.12/198.35 ! [T_a] : c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Image__Id__on,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotientI,axiom,
% 198.12/198.35 ! [V_r_2,V_A_2,V_x_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Id__on__iff,axiom,
% 198.12/198.35 ! [V_A_2,V_y_2,V_x_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_OId__on(T_a,V_A_2)))
% 198.12/198.35 <=> ( V_x_2 = V_y_2
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Id__on__eqI,axiom,
% 198.12/198.35 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 198.12/198.35 ( V_a_2 = V_b_2
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_singleton__quotient,axiom,
% 198.12/198.35 ! [V_r_2,V_x_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equiv__class__nondisjoint,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_subset__equiv__class,axiom,
% 198.12/198.35 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotientE,axiom,
% 198.12/198.35 ! [V_r_2,V_A_2,V_X_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ~ ! [B_x] :
% 198.12/198.35 ( V_X_2 = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 198.12/198.35 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equiv__intrel,axiom,
% 198.12/198.35 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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equiv__class__self,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__disj,axiom,
% 198.12/198.35 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( V_X_2 = V_Y_2
% 198.12/198.35 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equiv__class__eq,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.35 => hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__eq__iff,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 198.12/198.35 => ( V_X_2 = V_Y_2
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__eqI,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.35 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equiv__class__eq__iff,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.35 <=> ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_eq__equiv__class,axiom,
% 198.12/198.35 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_a] :
% 198.12/198.35 ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 198.12/198.35 => ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_eq__equiv__class__iff,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 198.12/198.35 => ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equiv__class__subset,axiom,
% 198.12/198.35 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_eq__equiv__class__iff2,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 198.12/198.35 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_UN__equiv__class,axiom,
% 198.12/198.35 ! [V_a_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.35 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_UN__equiv__class2,axiom,
% 198.12/198.35 ! [V_a2_2,V_a1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 198.12/198.35 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 198.12/198.35 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a1_2),V_A1_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a2_2),V_A2_2))
% 198.12/198.35 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equivp__equiv,axiom,
% 198.12/198.35 ! [V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_A_2)
% 198.12/198.35 <=> c_Equiv__Relations_Oequivp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_A_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equivp__transp,axiom,
% 198.12/198.35 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equivp__symp,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equivp__reflp,axiom,
% 198.12/198.35 ! [V_x_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 198.12/198.35 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_equivp__def,axiom,
% 198.12/198.35 ! [V_R_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 198.12/198.35 <=> ! [B_x,B_y] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 198.12/198.35 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_identity__equivp,axiom,
% 198.12/198.35 ! [T_a] : c_Equiv__Relations_Oequivp(T_a,c_fequal) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_congruent2__implies__congruent,axiom,
% 198.12/198.35 ! [V_a_2,V_f_2,V_r2_2,T_c,T_b,V_r1_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r1_2)
% 198.12/198.35 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.35 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_congruent2D,axiom,
% 198.12/198.35 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_c,T_b,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y1_2),V_z1_2)),V_r1_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y2_2),V_z2_2)),V_r2_2))
% 198.12/198.35 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_congruentD,axiom,
% 198.12/198.35 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_b,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_r_2))
% 198.12/198.35 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_congruent2__implies__congruent__UN,axiom,
% 198.12/198.35 ! [V_a_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 198.12/198.35 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 198.12/198.35 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A2_2))
% 198.12/198.35 => c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_c,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_UN__equiv__class__inject,axiom,
% 198.12/198.35 ! [V_Y_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 198.12/198.35 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Y_2),V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.35 => ! [B_y] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 198.12/198.35 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) ) ) )
% 198.12/198.35 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_UN__equiv__class__type2,axiom,
% 198.12/198.35 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 198.12/198.35 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 198.12/198.35 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A1_2),V_r1_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A2_2),V_r2_2)))
% 198.12/198.35 => ( ! [B_x1] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x1),V_A1_2))
% 198.12/198.35 => ! [B_x2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x2),V_A2_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_UN__equiv__class__type,axiom,
% 198.12/198.35 ! [V_B_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.35 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.35 => ( ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Integ__def,axiom,
% 198.12/198.35 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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Id__onE,axiom,
% 198.12/198.35 ! [V_A_2,V_c_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_c_2),c_Relation_OId__on(T_a,V_A_2)))
% 198.12/198.35 => ~ ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.35 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_card__quotient__disjoint,axiom,
% 198.12/198.35 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.35 => ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 198.12/198.35 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__empty,axiom,
% 198.12/198.35 ! [V_f_2,T_b,T_a] : c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__uminus,axiom,
% 198.12/198.35 ! [V_A_2,T_a] :
% 198.12/198.35 ( class_Groups_Oordered__ab__group__add(T_a)
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a),V_A_2) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_subset__inj__on,axiom,
% 198.12/198.35 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__Int,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__def,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 <=> ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.35 => ! [B_xa] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 198.12/198.35 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 198.12/198.35 => B_x = B_xa ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__diff,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__id2,axiom,
% 198.12/198.35 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_COMBI(T_a),V_A_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__contraD,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( V_x_2 != V_y_2
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 198.12/198.35 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__iff,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 198.12/198.35 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 198.12/198.35 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__onD,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 198.12/198.35 => V_x_2 = V_y_2 ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__fun,axiom,
% 198.12/198.35 ! [T_c,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => c_Fun_Oinj__on(T_a,tc_fun(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_b),T_a),c_COMBK(T_b,T_c)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_injD,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 198.12/198.35 => V_x_2 = V_y_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__eq,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 198.12/198.35 <=> V_x_2 = V_y_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__imageD,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 198.12/198.35 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2)
% 198.12/198.35 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__image__eq__iff,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 198.12/198.35 <=> V_A_2 = V_B_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.35 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 198.12/198.35 <=> V_A_2 = V_B_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_card__image,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__strict__subset,axiom,
% 198.12/198.35 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__image__mem__iff,axiom,
% 198.12/198.35 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_range__ex1__eq,axiom,
% 198.12/198.35 ! [V_b_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))))
% 198.12/198.35 <=> ? [B_x] :
% 198.12/198.35 ( V_b_2 = hAPP(V_f_2,B_x)
% 198.12/198.35 & ! [B_y] :
% 198.12/198.35 ( V_b_2 = hAPP(V_f_2,B_y)
% 198.12/198.35 => B_y = B_x ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__iff__surj,axiom,
% 198.12/198.35 ! [V_A_H_2,T_b,T_a,V_A_2] :
% 198.12/198.35 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.35 => ( ? [B_f] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_A_H_2)) )
% 198.12/198.35 <=> ? [B_g] : hAPP(c_Set_Oimage(T_b,T_a,B_g),V_A_H_2) = V_A_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_endo__inj__surj,axiom,
% 198.12/198.35 ! [V_f_2,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)),V_A_2))
% 198.12/198.35 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2)
% 198.12/198.35 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__surj__inj,axiom,
% 198.12/198.35 ! [V_f_2,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)))
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__UNIV__surj__inj,axiom,
% 198.12/198.35 ! [V_f_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 198.12/198.35 => ( hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__UNIV__inj__surj,axiom,
% 198.12/198.35 ! [V_f_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 198.12/198.35 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__image__subset__iff,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__image__Int,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.12/198.35 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_image__Int,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_eq__card__imp__inj__on,axiom,
% 198.12/198.35 ! [V_f_2,T_b,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.35 => ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2)
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__iff__eq__card,axiom,
% 198.12/198.35 ! [V_f_2,T_b,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.35 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 <=> hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__image__set__diff,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 198.12/198.35 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_image__set__diff,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pigeonhole,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 198.12/198.35 => ~ c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__fun__updI,axiom,
% 198.12/198.35 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 198.12/198.35 => c_Fun_Oinj__on(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_A_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__singleton,axiom,
% 198.12/198.35 ! [T_a] : c_Fun_Oinj__on(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Rep__Integ,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_card__bij__eq,axiom,
% 198.12/198.35 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 198.12/198.35 => ( c_Fun_Oinj__on(T_b,T_a,V_g_2,V_B_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),V_B_2)),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.12/198.35 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__image__Compl__subset,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__insert,axiom,
% 198.12/198.35 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))
% 198.12/198.35 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 & ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__Un,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.35 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 & c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.35 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_card__inj__on__le,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 198.12/198.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__iff__card__le,axiom,
% 198.12/198.35 ! [V_B_2,T_b,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.12/198.35 => ( ? [B_f] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_B_2)) )
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_quotient__diff1,axiom,
% 198.12/198.35 ! [V_a_2,V_A_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.35 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition__Integ,axiom,
% 198.12/198.35 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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_the__inv__into__into,axiom,
% 198.12/198.35 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__vimage__singleton,axiom,
% 198.12/198.35 ! [V_a_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimageI,axiom,
% 198.12/198.35 ! [T_b,V_B_2,T_a,V_b_2,V_a_2,V_f_2] :
% 198.12/198.35 ( hAPP(V_f_2,V_a_2) = V_b_2
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_B_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__Some,axiom,
% 198.12/198.35 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a),V_A_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__Suc,axiom,
% 198.12/198.35 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__add__nat,axiom,
% 198.12/198.35 ! [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) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__UNIV,axiom,
% 198.12/198.35 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__empty,axiom,
% 198.12/198.35 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__Un,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__eq,axiom,
% 198.12/198.35 ! [V_B_2,V_f_2,T_b,V_a_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimageD,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,V_a_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimageI2,axiom,
% 198.12/198.35 ! [T_b,V_A_2,V_a_2,V_f_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_a_2)),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__ident,axiom,
% 198.12/198.35 ! [V_Y_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__Collect__eq,axiom,
% 198.12/198.35 ! [V_P_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),V_P_2),V_f_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__Diff,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__code,axiom,
% 198.12/198.35 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2),V_x_2))
% 198.12/198.35 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__Compl,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__Int,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__mono,axiom,
% 198.12/198.35 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__UN,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__of__nat,axiom,
% 198.12/198.35 ! [T_a] :
% 198.12/198.35 ( class_Nat_Osemiring__char__0(T_a)
% 198.12/198.35 => c_Fun_Oinj__on(tc_Nat_Onat,T_a,c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__int,axiom,
% 198.12/198.35 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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_image__vimage__subset,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))),V_A_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_surj__image__vimage__eq,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_a,T_b] :
% 198.12/198.35 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.35 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = V_A_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__def,axiom,
% 198.12/198.35 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(T_b)),V_f_2)),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_swap__inj__on,axiom,
% 198.12/198.35 ! [V_A_2,T_b,T_a] : c_Fun_Oinj__on(tc_prod(T_a,T_b),tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_b,T_a)),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))),V_A_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__singleton__eq,axiom,
% 198.12/198.35 ! [V_b_2,V_f_2,T_b,V_a_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 198.12/198.35 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__insert,axiom,
% 198.12/198.35 ! [V_B_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__vimageD,axiom,
% 198.12/198.35 ! [V_Fa_2,V_h_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Ovimage(T_a,T_b,V_h_2),V_Fa_2)))
% 198.12/198.35 => ( hAPP(c_Set_Oimage(T_a,T_b,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 198.12/198.35 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Fa_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__subsetD,axiom,
% 198.12/198.35 ! [V_A_2,V_B_2,V_f_2,T_a,T_b] :
% 198.12/198.35 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2)),V_A_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_image__vimage__eq,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__vimageI,axiom,
% 198.12/198.35 ! [V_h_2,T_b,V_Fa_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Fa_2))
% 198.12/198.35 => ( c_Fun_Oinj__on(T_b,T_a,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 198.12/198.35 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_a,V_h_2),V_Fa_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__vimage__image__eq,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__const,axiom,
% 198.12/198.35 ! [T_b,V_A_2,V_c_2,T_a] :
% 198.12/198.35 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 198.12/198.35 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 198.12/198.35 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__eq__UN,axiom,
% 198.12/198.35 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_Ovimage(T_a,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_the__inv__into__f__eq,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_the__inv__into__f__f,axiom,
% 198.12/198.35 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.35 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_the__inv__into__onto,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => hAPP(c_Set_Oimage(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__on__the__inv__into,axiom,
% 198.12/198.35 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => c_Fun_Oinj__on(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_the__inv__f__f,axiom,
% 198.12/198.35 ! [V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_inj__graph,axiom,
% 198.12/198.35 ! [T_b,T_a] : c_Fun_Oinj__on(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Set_OCollect(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool)),hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__subsetI,axiom,
% 198.12/198.35 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_the__inv__into__def,axiom,
% 198.12/198.35 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_x_2))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_vimage__if,axiom,
% 198.12/198.35 ! [V_B_2,T_b,V_d_2,V_A_2,V_c_2,T_a] :
% 198.12/198.35 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 198.12/198.35 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 198.12/198.35 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))
% 198.12/198.35 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 198.12/198.35 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) )
% 198.12/198.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 198.12/198.35 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_f__the__inv__into__f,axiom,
% 198.12/198.35 ! [V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.35 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 198.12/198.35 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition_ORep__range,axiom,
% 198.12/198.35 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 198.12/198.35 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 198.12/198.35 => hAPP(c_Set_Oimage(T_a,T_b,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition_OAbs__image,axiom,
% 198.12/198.35 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 198.12/198.35 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 198.12/198.35 => hAPP(c_Set_Oimage(T_b,T_a,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition_ORep,axiom,
% 198.12/198.35 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 198.12/198.35 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition_ORep__inverse,axiom,
% 198.12/198.35 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 198.12/198.35 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 198.12/198.35 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition_ORep__inject,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 198.12/198.35 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 198.12/198.35 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 198.12/198.35 <=> V_x_2 = V_y_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition_OAbs__inject,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 198.12/198.35 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 198.12/198.35 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 198.12/198.35 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_type__definition_OAbs__inverse,axiom,
% 198.12/198.35 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 198.12/198.35 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 198.12/198.35 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 198.12/198.35 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_accp__acc__eq,axiom,
% 198.12/198.35 ! [V_x_2,V_r_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__def,axiom,
% 198.12/198.35 ! [V_s_2,V_r_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b)),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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBC(T_c,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_a,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_c),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_a,T_c)))),c_Product__Type_OPair(T_a,T_c)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_s_2))))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__compI,axiom,
% 198.12/198.35 ! [V_s_2,V_c_2,T_c,V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_b_2),V_c_2)),V_s_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__mono,axiom,
% 198.12/198.35 ! [V_s_2,V_s_H_2,T_c,V_r_2,V_r_H_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_O__assoc,axiom,
% 198.12/198.35 ! [V_T_2,V_S_2,V_R_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_c),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_b),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_d,T_c,T_b),V_S_2),V_T_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__distrib,axiom,
% 198.12/198.35 ! [V_T_2,V_S_2,V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_T_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__distrib2,axiom,
% 198.12/198.35 ! [V_R_2,V_T_2,V_S_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_T_2),V_R_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__empty1,axiom,
% 198.12/198.35 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__empty2,axiom,
% 198.12/198.35 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__UNION__distrib,axiom,
% 198.12/198.35 ! [V_r_2,V_I_2,T_d,V_s_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d),hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2)),V_r_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_rel__comp__UNION__distrib2,axiom,
% 198.12/198.35 ! [V_s_2,V_r_2,V_I_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_d),c_Relation_Orel__comp(T_a,T_c,T_b)),V_r_2)),V_s_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_union__comp__emptyL,axiom,
% 198.12/198.35 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 198.12/198.35 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 198.12/198.35 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 198.12/198.35 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_union__comp__emptyR,axiom,
% 198.12/198.35 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 198.12/198.35 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 198.12/198.35 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 198.12/198.35 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_acc__subset,axiom,
% 198.12/198.35 ! [V_R2_2,V_R1_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_acc_Osimps,axiom,
% 198.12/198.35 ! [V_r_2,V_a_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 198.12/198.35 <=> ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_a_2)),V_r_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_acc__downward,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,V_b_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__ext__compat,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_min__ext__compat,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_a,V_R_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 198.12/198.35 ! [V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pred__comp__rel__comp__eq,axiom,
% 198.12/198.35 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_s_2)),V_x_2),V_y_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_reduction__pairI,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_R_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 198.12/198.35 => c_FunDef_Oreduction__pair(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__extp_Oequations,axiom,
% 198.12/198.35 ! [V_a2_2,V_a1_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Omax__extp(T_a,V_R_2,V_a1_2,V_a2_2)
% 198.12/198.35 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 198.12/198.35 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 198.12/198.35 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.35 & ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 198.12/198.35 => ? [B_xa] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 198.12/198.35 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__less__than,axiom,
% 198.12/198.35 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pred__comp_Ointros,axiom,
% 198.12/198.35 ! [T_c,T_b,T_a,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__empty,axiom,
% 198.12/198.35 ! [T_a] : c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__inv__image,axiom,
% 198.12/198.35 ! [V_f_2,T_b,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__lex__prod,axiom,
% 198.12/198.35 ! [V_rb_2,T_b,V_ra_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_ra_2)
% 198.12/198.35 => ( c_Wellfounded_Owf(T_b,V_rb_2)
% 198.12/198.35 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__measure,axiom,
% 198.12/198.35 ! [V_f_2,T_a] : c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__comp__self,axiom,
% 198.12/198.35 ! [V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_R_2)
% 198.12/198.35 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__less,axiom,
% 198.12/198.35 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)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__mlex,axiom,
% 198.12/198.35 ! [V_f_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_R_2)
% 198.12/198.35 => c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__pair__less,axiom,
% 198.12/198.35 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__finite__psubset,axiom,
% 198.12/198.35 ! [T_a] : c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__subset,axiom,
% 198.12/198.35 ! [V_p_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_p_2),V_r_2))
% 198.12/198.35 => c_Wellfounded_Owf(T_a,V_p_2) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__Int2,axiom,
% 198.12/198.35 ! [V_r_H_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__Int1,axiom,
% 198.12/198.35 ! [V_r_H_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pred__comp_Oequations,axiom,
% 198.12/198.35 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 198.12/198.35 <=> ? [B_b] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 198.12/198.35 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_min__ext__wf,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__ext__wf,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__not__refl,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__not__sym,axiom,
% 198.12/198.35 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 198.12/198.35 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__asym,axiom,
% 198.12/198.35 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 198.12/198.35 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__irrefl,axiom,
% 198.12/198.35 ! [V_a_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__int__ge__less__than2,axiom,
% 198.12/198.35 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__int__ge__less__than,axiom,
% 198.12/198.35 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_acc__wfD,axiom,
% 198.12/198.35 ! [V_x_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__acc__iff,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__no__loop,axiom,
% 198.12/198.35 ! [V_R_2,T_a] :
% 198.12/198.35 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 198.12/198.35 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__union__merge,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 198.12/198.35 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_S_2),V_R_2))),V_S_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 <=> ~ ? [B_f] :
% 198.12/198.35 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wfE__pf,axiom,
% 198.12/198.35 ! [V_A_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_R_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),V_A_2)))
% 198.12/198.35 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__union__compatible,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_R_2)
% 198.12/198.35 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 198.12/198.35 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf,axiom,
% 198.12/198.35 ! [T_a] :
% 198.12/198.35 ( class_Orderings_Owellorder(T_a)
% 198.12/198.35 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_a)))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_reduction__pair__def,axiom,
% 198.12/198.35 ! [V_P_2,T_a] :
% 198.12/198.35 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 198.12/198.35 <=> ( c_Wellfounded_Owf(T_a,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_reduction__pair__lemma,axiom,
% 198.12/198.35 ! [V_S_2,V_R_2,V_P_2,T_a] :
% 198.12/198.35 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)))
% 198.12/198.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)))
% 198.12/198.35 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 198.12/198.35 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__lenlex,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olenlex(T_a,V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__if__measure,axiom,
% 198.12/198.35 ! [T_a,V_g_2,V_f_2,V_P_2] :
% 198.12/198.35 ( ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.35 => 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))) )
% 198.12/198.35 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),V_g_2))))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_max__ext_Ointros,axiom,
% 198.12/198.35 ! [V_R_2,V_Y_2,V_X_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2))
% 198.12/198.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Y_2))
% 198.12/198.35 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.35 => ( ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_X_2))
% 198.12/198.35 => ? [B_xa] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_Y_2))
% 198.12/198.35 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) )
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_pred__nat__def,axiom,
% 198.12/198.35 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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__lex,axiom,
% 198.12/198.35 ! [V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olex(T_a,V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__lexn,axiom,
% 198.12/198.35 ! [V_n_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => c_Wellfounded_Owf(tc_List_Olist(T_a),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_lex__def,axiom,
% 198.12/198.35 ! [V_r_2,T_a] : c_List_Olex(T_a,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_a,V_r_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_lexn_Osimps_I1_J,axiom,
% 198.12/198.35 ! [V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__pred__nat,axiom,
% 198.12/198.35 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__same__fst,axiom,
% 198.12/198.35 ! [T_a,V_R_2,T_b,V_P_2] :
% 198.12/198.35 ( ! [B_x] :
% 198.12/198.35 ( hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.35 => c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x)) )
% 198.12/198.35 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 198.12/198.35 ! [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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__Collect__split,axiom,
% 198.12/198.35 ! [V_P_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Set_OCollect(tc_prod(T_b,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_P_2))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_RangeI,axiom,
% 198.12/198.35 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 198.12/198.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__Id__on,axiom,
% 198.12/198.35 ! [V_A_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__Diff__subset,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2))),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__empty__iff,axiom,
% 198.12/198.35 ! [V_r_2,T_a,T_b] :
% 198.12/198.35 ( hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.35 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__empty,axiom,
% 198.12/198.35 ! [T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__Un__eq,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_finite__Range,axiom,
% 198.12/198.35 ! [V_r_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 198.12/198.35 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_snd__eq__Range,axiom,
% 198.12/198.35 ! [V_R_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_a,c_Product__Type_Osnd(T_b,T_a)),V_R_2) = hAPP(c_Relation_ORange(T_b,T_a),V_R_2) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__iff,axiom,
% 198.12/198.35 ! [V_r_2,T_b,V_a_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 198.12/198.35 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__insert,axiom,
% 198.12/198.35 ! [V_r_2,V_b_2,V_a_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Range__Int__subset,axiom,
% 198.12/198.35 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nitpick_Oone__frac__def,axiom,
% 198.12/198.35 ! [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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 198.12/198.35 ! [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))) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_RangeP__Range__eq,axiom,
% 198.12/198.35 ! [V_x_2,V_r_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 198.12/198.35 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_RangeP_Ointros,axiom,
% 198.12/198.35 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 198.12/198.35 => hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_b_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_RangeP_Oequations,axiom,
% 198.12/198.35 ! [V_a2_2,V_r_2,T_b,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_a2_2))
% 198.12/198.35 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_Nitpick_Ofrac__def,axiom,
% 198.12/198.35 ! [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)) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_RangeE,axiom,
% 198.12/198.35 ! [V_r_2,T_b,V_b_2,T_a] :
% 198.12/198.35 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 198.12/198.35 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ).
% 198.12/198.35
% 198.12/198.35 fof(fact_wf__Un,axiom,
% 198.12/198.35 ! [V_s_2,V_r_2,T_a] :
% 198.12/198.35 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.35 => ( c_Wellfounded_Owf(T_a,V_s_2)
% 198.12/198.36 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_DomainI,axiom,
% 198.12/198.36 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__Id__on,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__empty__iff,axiom,
% 198.12/198.36 ! [V_r_2,T_b,T_a] :
% 198.12/198.36 ( hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__empty,axiom,
% 198.12/198.36 ! [T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__mono,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_s_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__Un__eq,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__Domain,axiom,
% 198.12/198.36 ! [V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fst__eq__Domain,axiom,
% 198.12/198.36 ! [V_R_2,T_b,T_a] : hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),V_R_2) = hAPP(c_Relation_ODomain(T_a,T_b),V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__iff,axiom,
% 198.12/198.36 ! [V_r_2,T_b,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 198.12/198.36 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__insert,axiom,
% 198.12/198.36 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__Int__subset,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__Diff__subset,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2))),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Field__def,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__Collect__split,axiom,
% 198.12/198.36 ! [V_P_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),V_P_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_DomainP__Domain__eq,axiom,
% 198.12/198.36 ! [V_x_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_DomainE,axiom,
% 198.12/198.36 ! [V_r_2,T_b,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 198.12/198.36 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_image__split__eq__Sigma,axiom,
% 198.12/198.36 ! [V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Set_Oimage(T_c,tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_Oimage(T_c,T_a,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_Oimage(T_c,T_b,V_g_2)),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_a),c_Set_Ovimage(T_c,T_a,V_f_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_A_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_DomainP_Ointros,axiom,
% 198.12/198.36 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 198.12/198.36 => hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_SigmaI,axiom,
% 198.12/198.36 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__empty1,axiom,
% 198.12/198.36 ! [V_B_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Times__eq__cancel2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 198.12/198.36 => ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))
% 198.12/198.36 <=> V_A_2 = V_B_2 ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_card__cartesian__product,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__cartesian__product,axiom,
% 198.12/198.36 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Times__empty,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.36 ( hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))
% 198.12/198.36 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__empty2,axiom,
% 198.12/198.36 ! [V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Compl__Times__UNIV1,axiom,
% 198.12/198.36 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Compl__Times__UNIV2,axiom,
% 198.12/198.36 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setprod__cartesian__product,axiom,
% 198.12/198.36 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_a)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__Un__distrib1,axiom,
% 198.12/198.36 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Times__Un__distrib1,axiom,
% 198.12/198.36 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__Un__distrib2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__comp__subset__Sigma,axiom,
% 198.12/198.36 ! [V_C_2,V_s_2,T_c,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_C_2)))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_swap__product,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_prod(T_a,T_b)),hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__cartesian__product,axiom,
% 198.12/198.36 ! [V_B_2,T_b,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_equiv__type,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__Int__distrib2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Times__Int__distrib1,axiom,
% 198.12/198.36 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__Int__distrib1,axiom,
% 198.12/198.36 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Id__on__subset__Times,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId__on(T_a,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__Diff__distrib1,axiom,
% 198.12/198.36 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Times__Diff__distrib1,axiom,
% 198.12/198.36 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__Diff__distrib2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_DomainP_Oequations,axiom,
% 198.12/198.36 ! [V_a1_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a1_2))
% 198.12/198.36 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_UNIV__Times__UNIV,axiom,
% 198.12/198.36 ! [T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_SigmaE2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 198.12/198.36 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_SigmaD2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_SigmaD1,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_mem__Sigma__iff,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 198.12/198.36 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_card__cartesian__product__singleton,axiom,
% 198.12/198.36 ! [V_A_2,V_x_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Times__subset__cancel2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Image__subset,axiom,
% 198.12/198.36 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_C_2)),V_B_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__cartesian__productD1,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 198.12/198.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__cartesian__productD2,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 198.12/198.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Collect__split,axiom,
% 198.12/198.36 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_OCollect(T_b),V_Q_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_SetCompr__Sigma__eq,axiom,
% 198.12/198.36 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),V_Q_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fst__image__times,axiom,
% 198.12/198.36 ! [V_A_2,T_b,T_a,V_B_2] :
% 198.12/198.36 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.36 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = V_A_2 ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_snd__image__times,axiom,
% 198.12/198.36 ! [V_B_2,T_b,T_a,V_A_2] :
% 198.12/198.36 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.36 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = V_B_2 ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_insert__times__insert,axiom,
% 198.12/198.36 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__equiv__class,axiom,
% 198.12/198.36 ! [V_X_2,V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_UN__Times__distrib,axiom,
% 198.12/198.36 ! [V_Fa_2,V_E_2,V_B_2,V_A_2,T_b,T_a,T_d,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_c,T_d),tc_fun(tc_prod(T_a,T_b),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_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_c),c_Product__Type_OSigma(T_a,T_b)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),T_d),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a)),V_Fa_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_Fa_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__def,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__quotient,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] :
% 198.12/198.36 ( class_Rings_Osemiring__0(T_c)
% 198.12/198.36 => ( c_Fun_Oinj__on(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))
% 198.12/198.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 198.12/198.36 ! [V_A_2,V_I_2,T_b,T_a] :
% 198.12/198.36 ? [B_f] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,tc_prod(T_b,T_a),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,tc_prod(T_b,T_a),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_I_2),V_A_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__image__Sigma,axiom,
% 198.12/198.36 ! [V_g_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 198.12/198.36 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBC(T_a,T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),T_a),c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c))),V_g_2)),c_Groups_Oone__class_Oone(T_c))),V_B_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,tc_prod(T_a,T_b),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_g_2)),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_image__id,axiom,
% 198.12/198.36 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),V_Y_2) = V_Y_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_inj__on__id,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_Fun_Oid(T_a),V_A_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_apfst__id,axiom,
% 198.12/198.36 ! [T_b,T_a] : c_Product__Type_Oapfst(T_a,T_a,T_b,c_Fun_Oid(T_a)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_id__def,axiom,
% 198.12/198.36 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_id__apply,axiom,
% 198.12/198.36 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 198.12/198.36
% 198.12/198.36 fof(fact_apsnd__id,axiom,
% 198.12/198.36 ! [T_a,T_b] : c_Product__Type_Oapsnd(T_b,T_b,T_a,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_vimage__id,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_Fun_Oid(T_a)),V_A_2) = V_A_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_of__int__eq__id,axiom,
% 198.12/198.36 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_surj__id,axiom,
% 198.12/198.36 ! [T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_split__Pair,axiom,
% 198.12/198.36 ! [T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__reindex__id,axiom,
% 198.12/198.36 ! [V_B_2,V_f_2,T_a,T_b] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setprod__reindex__id,axiom,
% 198.12/198.36 ! [V_B_2,V_f_2,T_a,T_b] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_b)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setprod__Sigma,axiom,
% 198.12/198.36 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__Sigma,axiom,
% 198.12/198.36 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_card__SigmaI,axiom,
% 198.12/198.36 ! [V_B_2,T_b,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 198.12/198.36 => hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),V_B_2)),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__SigmaI,axiom,
% 198.12/198.36 ! [V_B_2,T_b,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ! [B_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_SigmaE,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_c_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 198.12/198.36 => ~ ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x)))
% 198.12/198.36 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__surj,axiom,
% 198.12/198.36 ! [V_g_2,T_c,T_d,V_f_2,T_a,T_b] :
% 198.12/198.36 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_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))
% 198.12/198.36 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__imageI,axiom,
% 198.12/198.36 ! [V_g_2,V_f_2,T_d,T_c,V_R_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_R_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)),V_R_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__simp,axiom,
% 198.12/198.36 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__ident,axiom,
% 198.12/198.36 ! [V_z_2,T_b,T_a] : hAPP(c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)),V_z_2) = V_z_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fst__map__pair,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_snd__prod__fun,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Omap__pair(T_c,T_b,T_d,T_a,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair_Oidentity,axiom,
% 198.12/198.36 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_apfst__def,axiom,
% 198.12/198.36 ! [V_f_2,T_b,T_c,T_a] : c_Product__Type_Oapfst(T_a,T_c,T_b,V_f_2) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_b,V_f_2,c_Fun_Oid(T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_apsnd__def,axiom,
% 198.12/198.36 ! [V_f_2,T_a,T_c,T_b] : c_Product__Type_Oapsnd(T_b,T_c,T_a,V_f_2) = c_Product__Type_Omap__pair(T_a,T_a,T_b,T_c,c_Fun_Oid(T_a),V_f_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair_Oid,axiom,
% 198.12/198.36 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_Fun_Oid(T_a),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__def,axiom,
% 198.12/198.36 ! [V_g_2,V_f_2,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_d),tc_fun(T_b,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_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),T_a),c_COMBB(T_d,tc_prod(T_c,T_d),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_a),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_g_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__surj__on,axiom,
% 198.12/198.36 ! [V_B_H_2,V_B_2,V_g_2,T_c,T_d,V_A_H_2,V_A_2,V_f_2,T_a,T_b] :
% 198.12/198.36 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_A_H_2
% 198.12/198.36 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2) = V_B_H_2
% 198.12/198.36 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_H_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_H_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__map__pair__image,axiom,
% 198.12/198.36 ! [V_f_2,T_b,V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.36 => c_Wellfounded_Owf(T_b,hAPP(c_Set_Oimage(tc_prod(T_a,T_a),tc_prod(T_b,T_b),c_Product__Type_Omap__pair(T_a,T_b,T_a,T_b,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__inj__on,axiom,
% 198.12/198.36 ! [V_B_2,V_g_2,T_d,T_c,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,V_B_2)
% 198.12/198.36 => c_Fun_Oinj__on(tc_prod(T_a,T_c),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_a,T_b,T_c,T_d,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_prod__fun__imageE,axiom,
% 198.12/198.36 ! [V_R_2,V_g_2,V_f_2,T_d,T_c,V_c_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2)),V_R_2)))
% 198.12/198.36 => ~ ! [B_x,B_y] :
% 198.12/198.36 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 198.12/198.36 => ~ 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)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__def,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 198.12/198.36 & ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfP__def,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 198.12/198.36 <=> c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfP__empty,axiom,
% 198.12/198.36 ! [T_a] : c_Wellfounded_OwfP(T_a,hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__Id__on,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfP__accp__iff,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 198.12/198.36 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x1)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_accp__wfPD,axiom,
% 198.12/198.36 ! [V_x_2,V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 198.12/198.36 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_x_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfP__subset,axiom,
% 198.12/198.36 ! [V_p_2,V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_p_2),V_r_2))
% 198.12/198.36 => c_Wellfounded_OwfP(T_a,V_p_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__empty,axiom,
% 198.12/198.36 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__Un,axiom,
% 198.12/198.36 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 198.12/198.36 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__Int,axiom,
% 198.12/198.36 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 198.12/198.36 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__onD,axiom,
% 198.12/198.36 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__onD2,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__onD1,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__in__rel,axiom,
% 198.12/198.36 ! [V_R_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,V_R_2)
% 198.12/198.36 => c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfP__wf__eq,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_OwfP(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2))
% 198.12/198.36 <=> c_Wellfounded_Owf(T_a,V_r_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_reflp__def,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Predicate_Oreflp(T_a,V_r_2)
% 198.12/198.36 <=> c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__onI,axiom,
% 198.12/198.36 ! [V_A_2,V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) )
% 198.12/198.36 => c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfP__acyclicP,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 198.12/198.36 => c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acyclic__subset,axiom,
% 198.12/198.36 ! [V_r_2,V_s_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Oacyclic(T_a,V_s_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.36 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__acyclic,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.36 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_reflpE,axiom,
% 198.12/198.36 ! [V_x_2,V_r_2,T_a] :
% 198.12/198.36 ( c_Predicate_Oreflp(T_a,V_r_2)
% 198.12/198.36 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__acyclic__wf,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 198.12/198.36 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 198.12/198.36 => c_Wellfounded_Owf(T_a,V_r_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 198.12/198.36 => ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.36 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Nitpick_Owf_H__def,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Nitpick_Owf_H(T_a,V_r_2)
% 198.12/198.36 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 198.12/198.36 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 198.12/198.36 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Rep__Integ__induct,axiom,
% 198.12/198.36 ! [V_P_2,V_y_2] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 198.12/198.36 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 198.12/198.36 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Rep__Integ__cases,axiom,
% 198.12/198.36 ! [V_y_2] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 198.12/198.36 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__def_H,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 <=> ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),B_x)) )
% 198.12/198.36 & ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Abs__Integ__induct,axiom,
% 198.12/198.36 ! [V_x_2,V_P_2] :
% 198.12/198.36 ( ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 198.12/198.36 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 198.12/198.36 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Abs__Integ__cases,axiom,
% 198.12/198.36 ! [V_x_2] :
% 198.12/198.36 ~ ! [B_y] :
% 198.12/198.36 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_ball__empty,axiom,
% 198.12/198.36 ! [V_P_2,T_a,B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 198.12/198.36 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Powp__def,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,V_A_2),V_B_2))
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 198.12/198.36 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_congruent__def,axiom,
% 198.12/198.36 ! [V_f_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_inj__on__diff__nat,axiom,
% 198.12/198.36 ! [V_k_2,V_N_2] :
% 198.12/198.36 ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 198.12/198.36 => 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) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfP__SUP,axiom,
% 198.12/198.36 ! [T_a,V_r_2,T_b] :
% 198.12/198.36 ( ! [B_i] : c_Wellfounded_OwfP(T_b,hAPP(V_r_2,B_i))
% 198.12/198.36 => ( ! [B_i,B_j] :
% 198.12/198.36 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Predicate_ODomainP(T_b,T_b,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_b,T_b,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.36 => c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_mem__splitE,axiom,
% 198.12/198.36 ! [V_p_2,V_c_2,T_c,T_b,V_z_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_c_2),V_p_2)))
% 198.12/198.36 => ~ ! [B_x,B_y] :
% 198.12/198.36 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_triples__valid__Suc,axiom,
% 198.12/198.36 ! [V_n_2,V_ts_2,T_a] :
% 198.12/198.36 ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 198.12/198.36 => c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 198.12/198.36 => ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 198.12/198.36 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,B_x) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_hoare__valids__def,axiom,
% 198.12/198.36 ! [V_ts_2,V_G_2,T_a] :
% 198.12/198.36 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,V_ts_2)
% 198.12/198.36 <=> ! [B_n] :
% 198.12/198.36 ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_G_2))
% 198.12/198.36 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) )
% 198.12/198.36 => ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 198.12/198.36 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_mem__splitI2,axiom,
% 198.12/198.36 ! [V_c_2,V_z_2,T_c,T_b,T_a,V_p_2] :
% 198.12/198.36 ( ! [B_a,B_b] :
% 198.12/198.36 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_vimage__Times,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,tc_prod(T_b,T_c),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_b,T_a,c_Product__Type_Ofst(T_b,T_c)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_c,T_a,c_Product__Type_Osnd(T_b,T_c)),V_f_2)),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Eps__split,axiom,
% 198.12/198.36 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_id__o,axiom,
% 198.12/198.36 ! [V_g_2,T_a,T_b] : hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_g_2) = V_g_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__id,axiom,
% 198.12/198.36 ! [V_f_2,T_b,T_a] : hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_f_2),c_Fun_Oid(T_a)) = V_f_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__eq__id__dest,axiom,
% 198.12/198.36 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 198.12/198.36 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_c_2)
% 198.12/198.36 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_exE__some,axiom,
% 198.12/198.36 ! [T_a,V_c_2,V_P_2] :
% 198.12/198.36 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 198.12/198.36 => ( V_c_2 = c_Hilbert__Choice_OEps(T_a,V_P_2)
% 198.12/198.36 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_apfst__compose,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_d,V_f_2),V_g_2)),V_x_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_K__record__comp,axiom,
% 198.12/198.36 ! [V_x_2,V_f_2,V_c_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,hAPP(c_COMBK(T_a,T_b),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__def,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_someI__ex,axiom,
% 198.12/198.36 ! [T_a,V_P_2] :
% 198.12/198.36 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 198.12/198.36 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_some__eq__ex,axiom,
% 198.12/198.36 ! [T_a,V_P_2] :
% 198.12/198.36 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2)))
% 198.12/198.36 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_some__eq__trivial,axiom,
% 198.12/198.36 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_some__sym__eq__trivial,axiom,
% 198.12/198.36 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 198.12/198.36 ! [V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_tfl__some,axiom,
% 198.12/198.36 ! [T_a,B_P] :
% 198.12/198.36 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 198.12/198.36 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_a,B_P))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_someI,axiom,
% 198.12/198.36 ! [T_a,V_x_2,V_P_2] :
% 198.12/198.36 ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.36 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_comp__cong,axiom,
% 198.12/198.36 ! [T_e,T_d,T_c,T_a,T_b,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 198.12/198.36 ( 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))
% 198.12/198.36 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__assoc,axiom,
% 198.12/198.36 ! [V_h_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(c_Fun_Ocomp(T_d,T_c,T_a,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_h_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__apply,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__eq__dest,axiom,
% 198.12/198.36 ! [V_v_2,V_d_2,V_c_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 198.12/198.36 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_c_2),V_d_2)
% 198.12/198.36 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__eq__elim,axiom,
% 198.12/198.36 ! [V_d_2,V_c_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 198.12/198.36 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_c_2),V_d_2)
% 198.12/198.36 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_o__eq__dest__lhs,axiom,
% 198.12/198.36 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 198.12/198.36 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = V_c_2
% 198.12/198.36 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__upd__comp,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_c),V_g_2),V_x_2),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_apsnd__compose,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_a,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_x_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_vimage__compose,axiom,
% 198.12/198.36 ! [V_x_2,V_f_2,V_g_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_a,T_c,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_g_2),V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_inj__on__imageI2,axiom,
% 198.12/198.36 ! [V_A_2,V_f_2,V_f_H_2,T_c,T_b,T_a] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_H_2),V_f_2),V_A_2)
% 198.12/198.36 => c_Fun_Oinj__on(T_a,T_c,V_f_2,V_A_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_inj__comp,axiom,
% 198.12/198.36 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.36 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 198.12/198.36 => c_Fun_Oinj__on(T_c,T_b,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_inj__on__imageI,axiom,
% 198.12/198.36 ! [V_A_2,V_f_2,V_g_2,T_c,T_b,T_a] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2)
% 198.12/198.36 => c_Fun_Oinj__on(T_c,T_b,V_g_2,hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_A_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_comp__inj__on,axiom,
% 198.12/198.36 ! [V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_b,T_c,V_g_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 198.12/198.36 => c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_comp__inj__on__iff,axiom,
% 198.12/198.36 ! [V_f_H_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_b,T_c,V_f_H_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 198.12/198.36 <=> c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_comp__surj,axiom,
% 198.12/198.36 ! [V_g_2,T_c,V_f_2,T_a,T_b] :
% 198.12/198.36 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => ( hAPP(c_Set_Oimage(T_a,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 198.12/198.36 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_a,T_c,T_b,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_image__compose,axiom,
% 198.12/198.36 ! [V_r_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_a,T_b,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair_Ocompositionality,axiom,
% 198.12/198.36 ! [V_prod_2,V_i_2,V_h_2,T_f,T_e,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_e,T_a,T_f,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_e,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_g_2),V_i_2)),V_prod_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair__compose,axiom,
% 198.12/198.36 ! [V_g2_2,V_g1_2,T_f,V_f2_2,V_f1_2,T_e,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_f2_2,V_g2_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_map__pair_Ocomp,axiom,
% 198.12/198.36 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_b,T_a,T_d,T_c,T_f,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g_2),V_i_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__reindex,axiom,
% 198.12/198.36 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setprod__reindex__cong,axiom,
% 198.12/198.36 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.36 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 198.12/198.36 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setprod__reindex,axiom,
% 198.12/198.36 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Eps__split__eq,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_split__paired__Eps,axiom,
% 198.12/198.36 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum_Oreindex,axiom,
% 198.12/198.36 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setprod_Oreindex,axiom,
% 198.12/198.36 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_b)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_the__inv__into__comp,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_g_2,T_c,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))
% 198.12/198.36 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,V_A_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))))
% 198.12/198.36 => hAPP(c_Fun_Othe__inv__into(T_c,T_b,V_A_2,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Fun_Othe__inv__into(T_c,T_a,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_a,T_b,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__image__reindex,axiom,
% 198.12/198.36 ! [V_z_2,V_g_2,V_h_2,T_b,V_A_2,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Oab__semigroup__mult(T_c)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_h_2,V_A_2)
% 198.12/198.36 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Oremove,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => hAPP(V_Fa_2,V_A_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__image_Oreindex,axiom,
% 198.12/198.36 ! [V_g_2,V_h_2,V_A_2,V_Fa_2,V_z_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.12/198.36 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 198.12/198.36 => hAPP(hAPP(V_Fa_2,V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(V_Fa_2,hAPP(c_Fun_Ocomp(T_b,T_a,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ounion,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 198.12/198.36 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 198.12/198.36 ! [V_h_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e,V_Fa_2,V_fa_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_Fa_2)
% 198.12/198.36 => 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) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ocommute__comp,axiom,
% 198.12/198.36 ! [V_x_2,V_y_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ocommute__left__comp,axiom,
% 198.12/198.36 ! [V_g_2,V_x_2,V_y_2,T_c,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_UN__o,axiom,
% 198.12/198.36 ! [V_f_2,V_g_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_c,tc_fun(T_a,tc_HOL_Obool),T_b,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_g_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fst__comp__map__pair,axiom,
% 198.12/198.36 ! [V_g_2,V_f_2,T_b,T_a,T_d,T_c] : hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,tc_prod(T_a,T_b),c_Product__Type_Ofst(T_c,T_d)),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_a,T_c,tc_prod(T_a,T_b),V_f_2),c_Product__Type_Ofst(T_a,T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_snd__comp__map__pair,axiom,
% 198.12/198.36 ! [V_g_2,V_f_2,T_b,T_a,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_c),T_c,tc_prod(T_a,T_b),c_Product__Type_Osnd(T_d,T_c)),c_Product__Type_Omap__pair(T_a,T_d,T_b,T_c,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_c,tc_prod(T_a,T_b),V_g_2),c_Product__Type_Osnd(T_a,T_b)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__image_Odistrib,axiom,
% 198.12/198.36 ! [V_h_2,V_g_2,V_A_2,V_Fa_2,V_z_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.12/198.36 => hAPP(hAPP(V_Fa_2,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_Fa_2,V_g_2),V_A_2)),hAPP(hAPP(V_Fa_2,V_h_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_split__comp,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_d,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_c,T_a),T_b,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_x_2))),hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ocommute__comp_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_Fa_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 198.12/198.36 ! [V_g_2,V_x_2,T_c,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_B_2)),hAPP(V_Fa_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 198.12/198.36 ! [V_g_2,T_c,V_B_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_B_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_B_2)),V_g_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Oempty,axiom,
% 198.12/198.36 ! [V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => hAPP(V_Fa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Fun_Oid(T_b) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__image_Oeq__fold,axiom,
% 198.12/198.36 ! [V_g_2,V_A_2,V_Fa_2,V_z_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 198.12/198.36 => hAPP(hAPP(V_Fa_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Oinsert,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Ounion__inter,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Oinsert__remove,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Loop__sound__lemma,axiom,
% 198.12/198.36 ! [V_c_2,V_b_2,V_P_2,V_G_2,T_a] :
% 198.12/198.36 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 198.12/198.36 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_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_a),tc_HOL_Obool)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_hoare__derivs_OIf,axiom,
% 198.12/198.36 ! [V_d_2,V_Q_2,V_c_2,V_b_2,V_P_2,V_G_2,T_a] :
% 198.12/198.36 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 198.12/198.36 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 198.12/198.36 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Loop,axiom,
% 198.12/198.36 ! [V_c_2,V_b_2,V_P_2,V_G_2,T_a] :
% 198.12/198.36 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 198.12/198.36 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_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_a),tc_HOL_Obool)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_peek__and__def,axiom,
% 198.12/198.36 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_p_2),V_Z_2),V_s_2))
% 198.12/198.36 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2))
% 198.12/198.36 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__reindex__nonzero,axiom,
% 198.12/198.36 ! [T_b,V_h_2,V_f_2,V_S_2,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 198.12/198.36 => ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_S_2))
% 198.12/198.36 => ( B_x != B_y
% 198.12/198.36 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 198.12/198.36 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) )
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__idem_Ounion__idem,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 198.12/198.36 => hAPP(V_Fa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)) = hAPP(V_Fa_2,V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 198.12/198.36 ! [V_g_2,V_x_2,T_c,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__idem_Oidem__comp,axiom,
% 198.12/198.36 ! [V_x_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_Fa_2,V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__idem_Oinsert__idem,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_strong__setprod__reindex__cong,axiom,
% 198.12/198.36 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__mult(T_c)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.36 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2),B_x) )
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wfI__pf,axiom,
% 198.12/198.36 ! [V_R_2,T_a] :
% 198.12/198.36 ( ! [B_A] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),B_A)))
% 198.12/198.36 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )
% 198.12/198.36 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sigma__mono,axiom,
% 198.12/198.36 ! [V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_C_2),V_D_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_not__acc__down,axiom,
% 198.12/198.36 ! [V_R_2,V_x_2,T_a] :
% 198.12/198.36 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))
% 198.12/198.36 => ~ ! [B_z] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_x_2)),V_R_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acc_OaccI,axiom,
% 198.12/198.36 ! [V_r_2,V_x_2,T_a] :
% 198.12/198.36 ( ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) )
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_max__ext_Osimps,axiom,
% 198.12/198.36 ! [V_R_2,V_a2_2,V_a1_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 198.12/198.36 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 198.12/198.36 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 198.12/198.36 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 & ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 198.12/198.36 => ? [B_xa] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__no__infinite__down__chainE,axiom,
% 198.12/198.36 ! [V_f_2,V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.36 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__reindex__cong,axiom,
% 198.12/198.36 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 198.12/198.36 ( class_Groups_Ocomm__monoid__add(T_c)
% 198.12/198.36 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 198.12/198.36 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 198.12/198.36 => ( ! [B_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 198.12/198.36 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_scomp__unfold,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),hAPP(V_f_2,V_x_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Pair__scomp,axiom,
% 198.12/198.36 ! [V_f_2,V_x_2,T_b,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_a,T_b),hAPP(c_Product__Type_OPair(T_c,T_a),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_scomp__Pair,axiom,
% 198.12/198.36 ! [V_x_2,T_c,T_b,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_c,tc_prod(T_b,T_c)),V_x_2),c_Product__Type_OPair(T_b,T_c)) = V_x_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_scomp__scomp,axiom,
% 198.12/198.36 ! [V_h_2,V_g_2,V_f_2,T_f,T_e,T_b,T_d,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_d,T_b),hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,tc_prod(T_c,T_d)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,T_b),V_f_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),T_e),c_Product__Type_Oscomp(T_f,T_c,T_d,T_b)),V_g_2)),V_h_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_scomp__apply,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_scomp__def,axiom,
% 198.12/198.36 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_iterate_Osimps,axiom,
% 198.12/198.36 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 198.12/198.36 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.36 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2) )
% 198.12/198.36 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.36 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_a,tc_prod(T_b,T_a)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_b,T_a,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)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_setsum__ivl__cong,axiom,
% 198.12/198.36 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_a,T_b] :
% 198.12/198.36 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 198.12/198.36 & class_Orderings_Oord(T_a) )
% 198.12/198.36 => ( V_a_2 = V_c_2
% 198.12/198.36 => ( V_b_2 = V_d_2
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c_2),B_x))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_d_2))
% 198.12/198.36 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 198.12/198.36 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_c_2),V_d_2)) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_less__eq,axiom,
% 198.12/198.36 ! [V_n_2,V_m_2] :
% 198.12/198.36 ( 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)))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__trancl,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.36 => c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_less__than__def,axiom,
% 198.12/198.36 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acyclic__def,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 198.12/198.36 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl_Or__into__trancl,axiom,
% 198.12/198.36 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__subset__Field2,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_Relation_OField(T_a),V_r_2))))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__Int__subset,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_r__into__trancl_H,axiom,
% 198.12/198.36 ! [V_r_2,V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__empty,axiom,
% 198.12/198.36 ! [T_a] : c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__domain,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__range,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ORange(T_a,T_a),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__trancl,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__trans,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__into__trancl2,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_r__r__into__trancl,axiom,
% 198.12/198.36 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_R_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),V_R_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__mono,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__unfold,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__subset__Sigma,axiom,
% 198.12/198.36 ! [V_A_2,V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_log_Osimps,axiom,
% 198.12/198.36 ! [V_i,V_b] :
% 198.12/198.36 ( ( ( 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)))
% 198.12/198.36 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 198.12/198.36 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 198.12/198.36 & ( ~ ( 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)))
% 198.12/198.36 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 198.12/198.36 => 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))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_minus__shift__def,axiom,
% 198.12/198.36 ! [V_r,V_l,V_k] :
% 198.12/198.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 198.12/198.36 => 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) )
% 198.12/198.36 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 198.12/198.36 => 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) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_inc__shift__def,axiom,
% 198.12/198.36 ! [V_k,V_v] :
% 198.12/198.36 ( ( V_v = V_k
% 198.12/198.36 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 198.12/198.36 & ( V_v != V_k
% 198.12/198.36 => 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)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_range,axiom,
% 198.12/198.36 ! [V_s,V_k] :
% 198.12/198.36 ( 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))
% 198.12/198.36 => 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)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__insert,axiom,
% 198.12/198.36 ! [V_r_2,V_x_2,V_y_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBC(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),V_y_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_reflcl__set__eq,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_r__into__rtrancl,axiom,
% 198.12/198.36 ! [V_r_2,V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 198.12/198.36 ! [V_r_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_IdI,axiom,
% 198.12/198.36 ! [V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Relation_OId(T_a))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__into__rtrancl,axiom,
% 198.12/198.36 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__Int__subset,axiom,
% 198.12/198.36 ! [V_r_2,V_s_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),V_s_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Image__closed__trancl,axiom,
% 198.12/198.36 ! [V_X_2,V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),V_X_2)),V_X_2))
% 198.12/198.36 => hAPP(c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_X_2) = V_X_2 ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__mono,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__subset,axiom,
% 198.12/198.36 ! [V_S_2,V_R_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__subset__rtrancl,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__Un__subset,axiom,
% 198.12/198.36 ! [V_S_2,V_R_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Id__O__R,axiom,
% 198.12/198.36 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_b),c_Relation_OId(T_a)),V_R_2) = V_R_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_R__O__Id,axiom,
% 198.12/198.36 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_b),V_R_2),c_Relation_OId(T_b)) = V_R_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Image__Id,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a)),V_A_2) = V_A_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__rtrancl,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__empty,axiom,
% 198.12/198.36 ! [T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Relation_OId(T_a) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Range__rtrancl,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__trans,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__idemp,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__reflcl__absorb,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__Un__rtrancl,axiom,
% 198.12/198.36 ! [V_S_2,V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) = c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__reflcl,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_in__rtrancl__UnI,axiom,
% 198.12/198.36 ! [V_S_2,V_R_2,V_x_2,T_a] :
% 198.12/198.36 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) )
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_r__comp__rtrancl__eq,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__idemp__self__comp,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__unfold,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__r__diff__Id,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__rtrancl,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__unfold__right,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__unfold__left,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__reflcl,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_reflcl__trancl,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__rtrancl__absorb,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__trancl__absorb,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_pair__in__Id__conv,axiom,
% 198.12/198.36 ! [V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a)))
% 198.12/198.36 <=> V_a_2 = V_b_2 ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__eq__or__trancl,axiom,
% 198.12/198.36 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 <=> ( V_x_2 = V_y_2
% 198.12/198.36 | ( V_x_2 != V_y_2
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__into__trancl2,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtranclD,axiom,
% 198.12/198.36 ! [V_R_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 => ( V_a_2 = V_b_2
% 198.12/198.36 | ( V_a_2 != V_b_2
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__into__trancl1,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__rtrancl__trancl,axiom,
% 198.12/198.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__trancl__trancl,axiom,
% 198.12/198.36 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__Id,axiom,
% 198.12/198.36 ! [T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Range__Id,axiom,
% 198.12/198.36 ! [T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__Id,axiom,
% 198.12/198.36 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_pair__leq__def,axiom,
% 198.12/198.36 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))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Not__Domain__rtrancl,axiom,
% 198.12/198.36 ! [V_y_2,V_R_2,V_x_2,T_a] :
% 198.12/198.36 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_a),V_R_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 <=> V_x_2 = V_y_2 ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acc__downwards,axiom,
% 198.12/198.36 ! [V_b_2,V_r_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acc__downwards__aux,axiom,
% 198.12/198.36 ! [V_r_2,V_a_2,V_b_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__insert,axiom,
% 198.12/198.36 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 198.12/198.36 <=> ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.36 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acyclic__insert,axiom,
% 198.12/198.36 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Oacyclic(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 198.12/198.36 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 198.12/198.36 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__reflcl,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Id__def,axiom,
% 198.12/198.36 ! [T_a] : c_Relation_OId(T_a) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_a),tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),tc_prod(T_a,T_a)),c_COMBB(tc_prod(T_a,T_a),tc_HOL_Obool,T_a)),c_fequal)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_irrefl__diff__Id,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Relation_Oirrefl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_pred__nat__trancl__eq__le,axiom,
% 198.12/198.36 ! [V_n_2,V_m_2] :
% 198.12/198.36 ( 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)))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__subset__Sigma__aux,axiom,
% 198.12/198.36 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 198.12/198.36 => ( V_a_2 = V_b_2
% 198.12/198.36 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_irrefl__tranclI,axiom,
% 198.12/198.36 ! [V_x_2,V_r_2,T_a] :
% 198.12/198.36 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_sequence__trans,axiom,
% 198.12/198.36 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_a] :
% 198.12/198.36 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),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_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_total__on__diff__Id,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))
% 198.12/198.36 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__Id,axiom,
% 198.12/198.36 ! [T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a)) = c_Relation_OId(T_a) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acyclic__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 198.12/198.36 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__UNION,axiom,
% 198.12/198.36 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Field__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_OField(T_a),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__inv__image,axiom,
% 198.12/198.36 ! [V_f_2,V_R_2,T_b,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 198.12/198.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_a)),V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_total__on__converse,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 198.12/198.36 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = V_r_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__Int,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__Id__on,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = c_Relation_OId__on(T_a,V_A_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__Un,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__rel__comp,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_a),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__converse,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 198.12/198.36 <=> c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__iff,axiom,
% 198.12/198.36 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converseI,axiom,
% 198.12/198.36 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converseD,axiom,
% 198.12/198.36 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__converse__trancl,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 198.12/198.36 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_equiv__comp__eq,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.36 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Range__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Domain__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) = hAPP(c_Relation_ORange(T_b,T_a),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Range__def,axiom,
% 198.12/198.36 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_total__on__empty,axiom,
% 198.12/198.36 ! [V_r_2,T_a] : c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__converseD,axiom,
% 198.12/198.36 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__converseI,axiom,
% 198.12/198.36 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__converseI,axiom,
% 198.12/198.36 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__converseD,axiom,
% 198.12/198.36 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Image__subset__eq,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)),V_B_2))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_refl__on__comp__subset,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_comp__equivI,axiom,
% 198.12/198.36 ! [V_A_2,V_r_2,T_a] :
% 198.12/198.36 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2
% 198.12/198.36 => ( hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) = V_A_2
% 198.12/198.36 => c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__acyclic__wf__converse,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 198.12/198.36 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 198.12/198.36 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_total__on__def,axiom,
% 198.12/198.36 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.36 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2)
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.36 => ! [B_xa] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 198.12/198.36 => ( B_x != B_xa
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_r_2))
% 198.12/198.36 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__def,axiom,
% 198.12/198.36 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_a)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_a)))),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))))),V_r_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 198.12/198.36 ! [V_R_2,V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_acyclicI,axiom,
% 198.12/198.36 ! [V_r_2,T_a] :
% 198.12/198.36 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 198.12/198.36 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_funpow__mult,axiom,
% 198.12/198.36 ! [V_f_2,V_m_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_funpow__swap1,axiom,
% 198.12/198.36 ! [V_x_2,V_n_2,T_a,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_wf__exp,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,T_a] :
% 198.12/198.36 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))
% 198.12/198.36 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_comp__funpow,axiom,
% 198.12/198.36 ! [V_f_2,V_n_2,T_b,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_a,T_b),tc_fun(T_a,T_b)),V_n_2),c_Fun_Ocomp(T_b,T_b,T_a,V_f_2)) = c_Fun_Ocomp(T_b,T_b,T_a,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__1,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__commute,axiom,
% 198.12/198.36 ! [V_n_2,V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__power,axiom,
% 198.12/198.36 ! [V_R_2,V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__imp__rtrancl,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_relpow_Osimps_I2_J,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__add,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),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_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_relpow_Osimps_I1_J,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_a) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__0__I,axiom,
% 198.12/198.36 ! [V_R_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__0__E,axiom,
% 198.12/198.36 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 198.12/198.36 => V_x_2 = V_y_2 ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__Suc__I,axiom,
% 198.12/198.36 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_R_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__Suc__I2,axiom,
% 198.12/198.36 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_funpow_Osimps_I2_J,axiom,
% 198.12/198.36 ! [V_f_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_funpow__add,axiom,
% 198.12/198.36 ! [V_f_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_funpow_Osimps_I1_J,axiom,
% 198.12/198.36 ! [V_f_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_a) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_trancl__power,axiom,
% 198.12/198.36 ! [V_R_2,V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 198.12/198.36 <=> ? [B_n] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 198.12/198.36 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_funpow__code__def,axiom,
% 198.12/198.36 ! [T_a] : c_Nat_Ofunpow(T_a) = c_Nat_Ocompow(T_a,T_a) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__E2,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 198.12/198.36 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.36 => V_x_2 != V_z_2 )
% 198.12/198.36 => ~ ! [B_y,B_m] :
% 198.12/198.36 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__E,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 198.12/198.36 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.36 => V_x_2 != V_z_2 )
% 198.12/198.36 => ~ ! [B_y,B_m] :
% 198.12/198.36 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2)))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Image__Int__eq,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] :
% 198.12/198.36 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_R_2))
% 198.12/198.36 => hAPP(c_Relation_OImage(T_b,T_a,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valued__rel__pow,axiom,
% 198.12/198.36 ! [V_n_2,V_R_2,T_a] :
% 198.12/198.36 ( c_Relation_Osingle__valued(T_a,T_a,V_R_2)
% 198.12/198.36 => c_Relation_Osingle__valued(T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valued__Id,axiom,
% 198.12/198.36 ! [T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valued__subset,axiom,
% 198.12/198.36 ! [V_s_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.36 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2)
% 198.12/198.36 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valued__rel__comp,axiom,
% 198.12/198.36 ! [V_s_2,T_c,V_r_2,T_b,T_a] :
% 198.12/198.36 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 198.12/198.36 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 198.12/198.36 => c_Relation_Osingle__valued(T_a,T_c,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valued__Id__on,axiom,
% 198.12/198.36 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valued__def,axiom,
% 198.12/198.36 ! [V_r_2,T_b,T_a] :
% 198.12/198.36 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 198.12/198.36 <=> ! [B_x,B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2))
% 198.12/198.36 => ! [B_z] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2))
% 198.12/198.36 => B_y = B_z ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valuedD,axiom,
% 198.12/198.36 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_r_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_z_2)),V_r_2))
% 198.12/198.36 => V_y_2 = V_z_2 ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_single__valued__confluent,axiom,
% 198.12/198.36 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 198.12/198.36 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.36 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 198.12/198.36 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))
% 198.12/198.36 => ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_Q_2))
% 198.12/198.36 => B_y = B_x ) )
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rtrancl__Un__separatorE,axiom,
% 198.12/198.36 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 198.12/198.36 => ( ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))
% 198.12/198.36 => ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_Q_2))
% 198.12/198.36 => B_x = B_y ) )
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__Suc__D2,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 198.12/198.36 => ? [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__Suc__E2,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 198.12/198.36 => ~ ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_rel__pow__Suc__E,axiom,
% 198.12/198.36 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 198.12/198.36 => ~ ! [B_y] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_tranclD2,axiom,
% 198.12/198.36 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 198.12/198.36 => ? [B_z] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),V_R_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_tranclD,axiom,
% 198.12/198.36 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 198.12/198.36 => ? [B_z] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_IdE,axiom,
% 198.12/198.36 ! [V_p_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Relation_OId(T_a)))
% 198.12/198.36 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_nat__intermed__int__val,axiom,
% 198.12/198.36 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 198.12/198.36 ( ! [B_i] :
% 198.12/198.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 198.12/198.36 => 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))) )
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 198.12/198.36 => ? [B_i] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 198.12/198.36 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_mod__div__decomp,axiom,
% 198.12/198.36 ! [V_b,V_a,T_a] :
% 198.12/198.36 ( class_Divides_Osemiring__div(T_a)
% 198.12/198.36 => 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)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__empty,axiom,
% 198.12/198.36 ! [V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__image__def,axiom,
% 198.12/198.36 ! [V_g_2,V_f_2,T_b,T_a] : hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_b,T_a,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding_Oeq__fold,axiom,
% 198.12/198.36 ! [V_s_2,V_A_2,V_Fa_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(V_Fa_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_s_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__def,axiom,
% 198.12/198.36 ! [V_A_2,V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold__graph(T_b,T_a,V_f_2,V_z_2,V_A_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_union__fold__insert,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)),V_B_2),V_A_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__sup__insert,axiom,
% 198.12/198.36 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Osemilattice__sup(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__inf__insert,axiom,
% 198.12/198.36 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Osemilattice__inf(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_Ofold__inf__insert,axiom,
% 198.12/198.36 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_Ofold__sup__insert,axiom,
% 198.12/198.36 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 198.12/198.36 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 198.12/198.36 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_sup__SUPR__fold__sup,axiom,
% 198.12/198.36 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 198.12/198.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_sup__le__fold__sup,axiom,
% 198.12/198.36 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Osemilattice__sup(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold__inf__le__inf,axiom,
% 198.12/198.36 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Osemilattice__inf(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 198.12/198.36 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),V_b_2))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 198.12/198.36 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold1__eq__fold__idem,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Olattice(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Olattice(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_minus__fold__remove,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_folding__one_Oeq__fold_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,V_Fa_2,V_f_2,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => hAPP(V_Fa_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_SUPR__fold__sup,axiom,
% 198.12/198.36 ! [V_f_2,V_A_2,T_a,T_b] :
% 198.12/198.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fold1__eq__fold,axiom,
% 198.12/198.36 ! [V_a_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Groups_Oab__semigroup__mult(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Olattice(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_x_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Lattices_Olattice(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_x_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Min_Oeq__fold_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Max_Oeq__fold_H,axiom,
% 198.12/198.36 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.36 ( class_Orderings_Olinorder(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 198.12/198.36 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 198.12/198.36 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 198.12/198.36 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => 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)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm,axiom,
% 198.12/198.36 ! [T_a] :
% 198.12/198.36 ( class_Groups_Oab__semigroup__mult(T_a)
% 198.12/198.36 => c_Finite__Set_Ofun__left__comm(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 198.12/198.36 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => c_Finite__Set_Ofun__left__comm(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 198.12/198.36 => V_y_2 = V_x_2 ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 198.12/198.36 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 198.12/198.36 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 198.12/198.36 ! [V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 198.12/198.36 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 198.12/198.36 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 198.12/198.36 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 198.12/198.36 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => ? [B_y_H] :
% 198.12/198.36 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 198.12/198.36 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INFI__fold__inf,axiom,
% 198.12/198.36 ! [V_f_2,V_A_2,T_a,T_b] :
% 198.12/198.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.12/198.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__E,axiom,
% 198.12/198.36 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2)))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__D,axiom,
% 198.12/198.36 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF1__D,axiom,
% 198.12/198.36 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF1__E,axiom,
% 198.12/198.36 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF2__D,axiom,
% 198.12/198.36 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF2__E,axiom,
% 198.12/198.36 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 198.12/198.36 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 198.12/198.36 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_finite__INT,axiom,
% 198.12/198.36 ! [V_A_2,T_b,V_I_2,T_a] :
% 198.12/198.36 ( ? [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2))
% 198.12/198.36 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_A_2,B_x))) )
% 198.12/198.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Compl__UN,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Compl__INT,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_converse__INTER,axiom,
% 198.12/198.36 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__simps_I7_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__simps_I6_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__extend__simps_I7_J,axiom,
% 198.12/198.36 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Un__INT__distrib,axiom,
% 198.12/198.36 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__extend__simps_I6_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Un__INT__distrib2,axiom,
% 198.12/198.36 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Collect__ball__eq,axiom,
% 198.12/198.36 ! [V_P_2,V_A_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__Un,axiom,
% 198.12/198.36 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__lower,axiom,
% 198.12/198.36 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__subset__iff,axiom,
% 198.12/198.36 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)))
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF__less__iff,axiom,
% 198.12/198.36 ! [V_a_2,V_f_2,V_A_2,T_b,T_a] :
% 198.12/198.36 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.36 & class_Orderings_Olinorder(T_a) )
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_f_2)),V_a_2))
% 198.12/198.36 <=> ? [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.12/198.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_le__INF__iff,axiom,
% 198.12/198.36 ! [V_M_2,V_A_2,T_b,V_u_2,T_a] :
% 198.12/198.36 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_M_2)))
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__extend__simps_I2_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.36 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 198.12/198.36 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__extend__simps_I1_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.36 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 198.12/198.36 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__insert,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__constant,axiom,
% 198.12/198.36 ! [V_c_2,T_b,T_a,V_A_2] :
% 198.12/198.36 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.36 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_c_2)) = V_c_2 ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__empty,axiom,
% 198.12/198.36 ! [V_B_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__absorb,axiom,
% 198.12/198.36 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 198.12/198.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__insert__distrib,axiom,
% 198.12/198.36 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 198.12/198.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__simps_I5_J,axiom,
% 198.12/198.36 ! [V_B_2,V_a_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__extend__simps_I5_J,axiom,
% 198.12/198.36 ! [V_B_2,V_C_2,T_b,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.36 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.12/198.36 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_a,T_b] :
% 198.12/198.36 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.12/198.36 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__Int__distrib,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INFI__apply,axiom,
% 198.12/198.36 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 198.12/198.36 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.36 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF__commute,axiom,
% 198.12/198.36 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 198.12/198.36 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_Pow__INT__eq,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__iff,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 198.12/198.36 <=> ! [B_x] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 198.12/198.36 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF__INT__eq2,axiom,
% 198.12/198.36 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c))))),V_r_2)),V_x_2),V_y_2))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__extend__simps_I10_J,axiom,
% 198.12/198.36 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INT__simps_I10_J,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_vimage__INT,axiom,
% 198.12/198.36 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INFI__bool__eq,axiom,
% 198.12/198.36 ! [T_a] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_HOL_Obool) = c_Set_OBall(T_a) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF__INT__eq,axiom,
% 198.12/198.36 ! [V_x_2,V_r_2,T_b,T_a] :
% 198.12/198.36 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 198.12/198.36 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 198.12/198.36
% 198.12/198.36 fof(fact_INF__const,axiom,
% 198.12/198.36 ! [V_M_2,T_a,V_A_2,T_b] :
% 198.12/198.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.12/198.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Image__INT__subset,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_c,V_r_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_UN__extend__simps_I7_J,axiom,
% 198.12/198.37 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_UN__simps_I7_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__extend__simps_I9_J,axiom,
% 198.12/198.37 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__simps_I9_J,axiom,
% 198.12/198.37 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INF__subset,axiom,
% 198.12/198.37 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INTER__def,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_member(T_a))),V_B_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__simps_I1_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.37 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.37 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__simps_I2_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.37 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.37 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__extend__simps_I3_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.37 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) )
% 198.12/198.37 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__simps_I3_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.37 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.37 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__extend__simps_I4_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.37 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 198.12/198.37 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INF__leI,axiom,
% 198.12/198.37 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__greaterThan__UNIV,axiom,
% 198.12/198.37 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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__simps_I4_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 198.12/198.37 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 198.12/198.37 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Image__INT__eq,axiom,
% 198.12/198.37 ! [V_B_2,T_c,V_A_2,V_r_2,T_b,T_a] :
% 198.12/198.37 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))
% 198.12/198.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 198.12/198.37 => hAPP(c_Relation_OImage(T_b,T_a,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inf__INFI__fold__inf,axiom,
% 198.12/198.37 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__fold__inf,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),c_Orderings_Otop__class_Otop(T_a)),V_A_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__fold__sup,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),c_Orderings_Obot__class_Obot(T_a)),V_A_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__Inter,axiom,
% 198.12/198.37 ! [V_M_2,T_a] :
% 198.12/198.37 ( ? [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_M_2))
% 198.12/198.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) )
% 198.12/198.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_M_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_UnionI,axiom,
% 198.12/198.37 ! [V_A_2,V_C_2,V_X_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_InterD,axiom,
% 198.12/198.37 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_InterE,axiom,
% 198.12/198.37 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Un__Inter,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__simps_I8_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INT__extend__simps_I8_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INF1__iff,axiom,
% 198.12/198.37 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INF2__iff,axiom,
% 198.12/198.37 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_INTER__eq__Inter__image,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__image__eq,axiom,
% 198.12/198.37 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Domain__Union,axiom,
% 198.12/198.37 ! [V_S_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_a,T_b)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Range__Union,axiom,
% 198.12/198.37 ! [V_S_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_b,T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_UN__simps_I8_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_UN__extend__simps_I8_J,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Int__Union,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Int__Union2,axiom,
% 198.12/198.37 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sigma__Union,axiom,
% 198.12/198.37 ! [V_B_2,V_X_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b)),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_image__Union,axiom,
% 198.12/198.37 ! [V_S_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_b,T_a,V_f_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_vimage__Union,axiom,
% 198.12/198.37 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_a,T_b,V_f_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Field__Union,axiom,
% 198.12/198.37 ! [V_R_2,T_a] : hAPP(c_Relation_OField(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a)),V_R_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__Pow__eq,axiom,
% 198.12/198.37 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OPow(T_a),V_A_2)) = V_A_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__disjoint,axiom,
% 198.12/198.37 ! [V_A_2,V_C_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_C_2))
% 198.12/198.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_le__Inf__iff,axiom,
% 198.12/198.37 ! [V_A_2,V_b_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)))
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__le__iff,axiom,
% 198.12/198.37 ! [V_b_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)),V_b_2))
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__less__iff,axiom,
% 198.12/198.37 ! [V_a_2,V_S_2,T_a] :
% 198.12/198.37 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 & class_Orderings_Olinorder(T_a) )
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_S_2)),V_a_2))
% 198.12/198.37 <=> ? [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_a_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_less__Sup__iff,axiom,
% 198.12/198.37 ! [V_S_2,V_a_2,T_a] :
% 198.12/198.37 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 & class_Orderings_Olinorder(T_a) )
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_S_2)))
% 198.12/198.37 <=> ? [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),B_x)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__upper,axiom,
% 198.12/198.37 ! [V_A_2,V_B_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__lower,axiom,
% 198.12/198.37 ! [V_A_2,V_B_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__Inf,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a)))))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__Sup,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_a))))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__empty,axiom,
% 198.12/198.37 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__mono,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__insert,axiom,
% 198.12/198.37 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__quotient,axiom,
% 198.12/198.37 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.37 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = V_A_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__UnionD,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))
% 198.12/198.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_subset__Pow__Union,axiom,
% 198.12/198.37 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__anti__mono,axiom,
% 198.12/198.37 ! [V_A_2,V_B_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__empty,axiom,
% 198.12/198.37 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__eq,axiom,
% 198.12/198.37 ! [V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_a,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_a,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))),c_member(T_a)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__UNIV,axiom,
% 198.12/198.37 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__Un__distrib,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__insert,axiom,
% 198.12/198.37 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_UNION__eq__Union__image,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__image__eq,axiom,
% 198.12/198.37 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__upper,axiom,
% 198.12/198.37 ! [V_A_2,V_x_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__UNIV,axiom,
% 198.12/198.37 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__lower,axiom,
% 198.12/198.37 ! [V_A_2,V_x_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)),V_x_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__empty,axiom,
% 198.12/198.37 ! [T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__Un__distrib,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__singleton,axiom,
% 198.12/198.37 ! [V_a_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__insert,axiom,
% 198.12/198.37 ! [V_A_2,V_a_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Int__Inter__image,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__singleton,axiom,
% 198.12/198.37 ! [V_a_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__UNIV,axiom,
% 198.12/198.37 ! [T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__empty,axiom,
% 198.12/198.37 ! [T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__UNIV,axiom,
% 198.12/198.37 ! [T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__insert,axiom,
% 198.12/198.37 ! [V_A_2,V_a_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Un__eq__Union,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Un__Union__image,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__Int__subset,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Int__eq__Inter,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__Un__subset,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__binary,axiom,
% 198.12/198.37 ! [V_b_2,V_a_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__binary,axiom,
% 198.12/198.37 ! [V_b_2,V_a_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sup__Sup__fold__sup,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_B_2),V_A_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Sup__fin__Sup,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inf__Inf__fold__inf,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_B_2),V_A_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inf__fin__Inf,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_image__INT,axiom,
% 198.12/198.37 ! [V_j_2,V_B_2,V_A_2,T_c,V_C_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_j_2),V_A_2))
% 198.12/198.37 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Oimage(T_a,T_b,V_f_2)),V_B_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_card__partition,axiom,
% 198.12/198.37 ! [V_k_2,V_C_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_C_2))
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 198.12/198.37 => ( ! [B_c] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c),V_C_2))
% 198.12/198.37 => hAPP(c_Finite__Set_Ocard(T_a),B_c) = V_k_2 )
% 198.12/198.37 => ( ! [B_c1] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c1),V_C_2))
% 198.12/198.37 => ! [B_c2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c2),V_C_2))
% 198.12/198.37 => ( B_c1 != B_c2
% 198.12/198.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 198.12/198.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__def,axiom,
% 198.12/198.37 ! [V_S_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Union__def,axiom,
% 198.12/198.37 ! [V_S_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__Union,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2))
% 198.12/198.37 => ( ! [B_M] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_M),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_M)) )
% 198.12/198.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insert__partition,axiom,
% 198.12/198.37 ! [V_Fa_2,V_x_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_Fa_2))
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_Fa_2)))
% 198.12/198.37 => ! [B_xa] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_Fa_2)))
% 198.12/198.37 => ( B_x != B_xa
% 198.12/198.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 198.12/198.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_Fa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__on__Inter,axiom,
% 198.12/198.37 ! [V_f_2,T_b,T_a,V_S_2] :
% 198.12/198.37 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 198.12/198.37 => ( ! [B_A] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_A),V_S_2))
% 198.12/198.37 => c_Fun_Oinj__on(T_a,T_b,V_f_2,B_A) )
% 198.12/198.37 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Inter__subset,axiom,
% 198.12/198.37 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.37 ( ! [B_X] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_X),V_B_2)) )
% 198.12/198.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__on__INTER,axiom,
% 198.12/198.37 ! [V_A_2,V_f_2,T_c,T_b,T_a,V_I_2] :
% 198.12/198.37 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => ( ! [B_i] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_I_2))
% 198.12/198.37 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(V_A_2,B_i)) )
% 198.12/198.37 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 198.12/198.37 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_v_2))
% 198.12/198.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.37 => ~ ! [B_y] :
% 198.12/198.37 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 198.12/198.37 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 198.12/198.37 ! [V_c_2,V_b_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b_2),V_c_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 198.12/198.37 ! [V_c_2,V_b_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_c_2),V_A_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_InterI,axiom,
% 198.12/198.37 ! [V_A_2,V_C_2,T_a] :
% 198.12/198.37 ( ! [B_X] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inf__le__fold__inf,axiom,
% 198.12/198.37 ! [V_c_2,V_b_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Lattices_Osemilattice__inf(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_c_2),V_A_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_fold__sup__le__sup,axiom,
% 198.12/198.37 ! [V_c_2,V_b_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Lattices_Osemilattice__sup(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b_2),V_c_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_wf__eq__minimal,axiom,
% 198.12/198.37 ! [V_r_2,T_a] :
% 198.12/198.37 ( c_Wellfounded_Owf(T_a,V_r_2)
% 198.12/198.37 <=> ! [B_Q] :
% 198.12/198.37 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 198.12/198.37 => ? [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 198.12/198.37 & ! [B_y] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_y),B_Q)) ) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_transfer__nat__int__set__cong,axiom,
% 198.12/198.37 ! [V_P_H_2,V_P_2] :
% 198.12/198.37 ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 198.12/198.37 => ( hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.37 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 198.12/198.37 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Int__Collect__mono,axiom,
% 198.12/198.37 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => ( hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.37 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_a),V_Q_2)))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_UnionE,axiom,
% 198.12/198.37 ! [V_C_2,V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 198.12/198.37 => ~ ! [B_X] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_converseE,axiom,
% 198.12/198.37 ! [V_r_2,V_yx_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_yx_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 198.12/198.37 => ~ ! [B_x,B_y] :
% 198.12/198.37 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_y),B_x)
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),B_y)),V_r_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_rel__compE,axiom,
% 198.12/198.37 ! [V_s_2,V_r_2,T_c,V_xz_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2)))
% 198.12/198.37 => ~ ! [B_x,B_y,B_z] :
% 198.12/198.37 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),B_x),B_y)),V_r_2))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),B_z)),V_s_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 198.12/198.37 ! [V_r_2,V_q_2,T_a] : c_Nitpick_Oplus__frac(T_a,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_a),V_q_2),hAPP(c_Nitpick_Odenom(T_a),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_a),tc_Int_Oint),c_Nitpick_Ofrac(T_a)),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_a),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_a),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_a),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_a),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Oof__frac__def,axiom,
% 198.12/198.37 ! [V_q,T_a,T_b] :
% 198.12/198.37 ( ( class_Rings_Oinverse(T_b)
% 198.12/198.37 & class_Rings_Oring__1(T_b) )
% 198.12/198.37 => 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))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Oless__frac__def,axiom,
% 198.12/198.37 ! [V_r_2,V_q_2,T_a] :
% 198.12/198.37 ( c_Nitpick_Oless__frac(T_a,V_q_2,V_r_2)
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 198.12/198.37 ! [V_r_2,V_q_2,T_a] :
% 198.12/198.37 ( c_Nitpick_Oless__eq__frac(T_a,V_q_2,V_r_2)
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Odenom__def,axiom,
% 198.12/198.37 ! [T_a] : c_Nitpick_Odenom(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Onum__def,axiom,
% 198.12/198.37 ! [T_a] : c_Nitpick_Onum(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__upd__left,axiom,
% 198.12/198.37 ! [V_u1_2,V_e1_2,V_e2_2,T_b,V_m_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_e2_2)))
% 198.12/198.37 => c_Map_Omap__add(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_e1_2),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)),V_e2_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_e1_2,V_e2_2)),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_setprod__pos,axiom,
% 198.12/198.37 ! [V_f_2,V_A_2,T_a,T_b] :
% 198.12/198.37 ( class_Rings_Olinordered__semidom(T_b)
% 198.12/198.37 => ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__def,axiom,
% 198.12/198.37 ! [V_x_2,V_m2_2,V_m1_2,T_a,T_b] : hAPP(c_Map_Omap__add(T_b,T_a,V_m1_2,V_m2_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,hAPP(V_m1_2,V_x_2),c_Option_Ooption_OSome(T_a)),hAPP(V_m2_2,V_x_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_empty__map__add,axiom,
% 198.12/198.37 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)),V_m_2) = V_m_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__empty,axiom,
% 198.12/198.37 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = V_m_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__assoc,axiom,
% 198.12/198.37 ! [V_m3_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__add(T_a,T_b,V_m2_2,V_m3_2)) = c_Map_Omap__add(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_m3_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__find__right,axiom,
% 198.12/198.37 ! [V_m_2,T_b,V_xx_2,T_a,V_k_2,V_n_2] :
% 198.12/198.37 ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2)
% 198.12/198.37 => hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__None,axiom,
% 198.12/198.37 ! [V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 <=> ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 & hAPP(V_m_2,V_k_2) = c_Option_Ooption_ONone(T_a) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__dom__app__simps_I2_J,axiom,
% 198.12/198.37 ! [V_l2_2,V_l1_2,T_b,V_m_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l1_2)))
% 198.12/198.37 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__dom__app__simps_I3_J,axiom,
% 198.12/198.37 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2)))
% 198.12/198.37 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l1_2,V_m_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__dom__app__simps_I1_J,axiom,
% 198.12/198.37 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2)))
% 198.12/198.37 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__Some__iff,axiom,
% 198.12/198.37 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 198.12/198.37 <=> ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 198.12/198.37 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__SomeD,axiom,
% 198.12/198.37 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 198.12/198.37 => ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 198.12/198.37 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_dom__map__add,axiom,
% 198.12/198.37 ! [V_n_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m_2,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_n_2)),c_Map_Odom(T_a,T_b,V_m_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__upd,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_f_2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_g_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_f_2,V_g_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__on__map__add__dom,axiom,
% 198.12/198.37 ! [V_m_H_2,V_m_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),c_Map_Omap__add(T_a,T_b,V_m_2,V_m_H_2),c_Map_Odom(T_a,T_b,V_m_H_2))
% 198.12/198.37 <=> c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),V_m_H_2,c_Map_Odom(T_a,T_b,V_m_H_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__comm,axiom,
% 198.12/198.37 ! [V_m2_2,V_m1_2,T_b,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m1_2)),c_Map_Odom(T_a,T_b,V_m2_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 => c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2) = c_Map_Omap__add(T_a,T_b,V_m2_2,V_m1_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__range__map__of__map__add,axiom,
% 198.12/198.37 ! [V_l_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 198.12/198.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),c_Map_Omap__add(T_b,T_a,V_f_2,hAPP(c_Map_Omap__of(T_b,T_a),V_l_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_internal__split__def,axiom,
% 198.12/198.37 ! [T_c,T_b,T_a] : c_Product__Type_Ointernal__split(T_a,T_b,T_c) = c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__dom__map__of,axiom,
% 198.12/198.37 ! [V_l_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_l_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__range__map__of,axiom,
% 198.12/198.37 ! [V_xys_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_internal__split__conv,axiom,
% 198.12/198.37 ! [V_b_2,V_a_2,V_c_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_b,T_c,T_a),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__map__of__foldr,axiom,
% 198.12/198.37 ! [V_ps_2,V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)) = c_List_Ofoldr(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)))))),c_Option_Ooption_OSome(T_b))),V_ps_2,V_m_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2,T_a] : c_Smallcheck_Oorelse(T_a,V_x_2,V_y_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,V_y_2,c_Option_Ooption_OSome(T_a)),V_x_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_full__small__int__def,axiom,
% 198.12/198.37 ! [V_d_2,V_f_2] : c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,V_f_2,V_d_2) = c_Smallcheck_Ofull__small_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_small_H_Osimps,axiom,
% 198.12/198.37 ! [V_f_2,V_i_2,V_d_2] :
% 198.12/198.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 198.12/198.37 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 198.12/198.37 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_small_H_Opsimps,axiom,
% 198.12/198.37 ! [V_i_2,V_d_2,V_f_2] :
% 198.12/198.37 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_f_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2))))
% 198.12/198.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 198.12/198.37 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 198.12/198.37 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_small__int__def,axiom,
% 198.12/198.37 ! [V_d_2,V_f_2] : hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),V_f_2),V_d_2) = c_Smallcheck_Osmall_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_small__prod__def,axiom,
% 198.12/198.37 ! [V_d_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( ( class_Smallcheck_Osmall(T_b)
% 198.12/198.37 & class_Smallcheck_Osmall(T_a) )
% 198.12/198.37 => hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(T_a,T_b)),V_f_2),V_d_2) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(T_a),hAPP(hAPP(c_COMBC(T_a,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),c_Smallcheck_Osmall__class_Osmall(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b)))),V_d_2)),V_d_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_small_H_Opinduct,axiom,
% 198.12/198.37 ! [V_P_2,V_a2_2,V_a1_2,V_a0_2] :
% 198.12/198.37 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_a0_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a1_2),V_a2_2))))
% 198.12/198.37 => ( ! [B_f,B_d,B_i] :
% 198.12/198.37 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),B_f),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))))
% 198.12/198.37 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 198.12/198.37 => ( hAPP(B_f,B_i) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))
% 198.12/198.37 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),B_i)) ) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2),V_a2_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__mapk__SomeI,axiom,
% 198.12/198.37 ! [V_x_2,V_k_2,V_t_2,T_c,V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.37 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_c),V_t_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2)
% 198.12/198.37 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_a),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_t_2)),hAPP(V_f_2,V_k_2)) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__mapI,axiom,
% 198.12/198.37 ! [V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.37 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_foldr__map,axiom,
% 198.12/198.37 ! [V_a_2,V_xs_2,V_f_2,T_c,V_g_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_g_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_c,T_a,hAPP(c_Fun_Ocomp(T_b,tc_fun(T_a,T_a),T_c,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__map,axiom,
% 198.12/198.37 ! [V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 198.12/198.37 <=> c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__map__eq__map,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.37 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 198.12/198.37 <=> V_xs_2 = V_ys_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__mapD,axiom,
% 198.12/198.37 ! [V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 198.12/198.37 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__injective,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 198.12/198.37 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 198.12/198.37 => V_xs_2 = V_ys_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__ident,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)),V_xs_2) = V_xs_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_List_Omap_Oid,axiom,
% 198.12/198.37 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_List_Omap_Oidentity,axiom,
% 198.12/198.37 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_List_Omap_Ocomp,axiom,
% 198.12/198.37 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__map,axiom,
% 198.12/198.37 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_List_Omap_Ocompositionality,axiom,
% 198.12/198.37 ! [V_list_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_list_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__map,axiom,
% 198.12/198.37 ! [V_xs_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_xs_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__map,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),V_xs_2)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Map_Omap__of(T_a,T_c),V_xs_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__def,axiom,
% 198.12/198.37 ! [V_k_2,V_g_2,V_f_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_f_2,V_g_2,V_k_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_b,c_Option_Ooption_ONone(T_a),V_f_2),hAPP(V_g_2,V_k_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_option__map__Some,axiom,
% 198.12/198.37 ! [V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f_2,V_x_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_option__map__eq__Some,axiom,
% 198.12/198.37 ! [V_y_2,V_xo_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_xo_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 198.12/198.37 <=> ? [B_z] :
% 198.12/198.37 ( V_xo_2 = hAPP(c_Option_Ooption_OSome(T_b),B_z)
% 198.12/198.37 & hAPP(V_f_2,B_z) = V_y_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_option__map__None,axiom,
% 198.12/198.37 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),c_Option_Ooption_ONone(T_b)) = c_Option_Ooption_ONone(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_option__map__is__None,axiom,
% 198.12/198.37 ! [V_opt_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_opt_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 <=> V_opt_2 = c_Option_Ooption_ONone(T_b) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_option__map__o__empty,axiom,
% 198.12/198.37 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),T_c,hAPP(c_Option_Omap(T_b,T_a),V_f_2)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_option__map__comp,axiom,
% 198.12/198.37 ! [V_opt_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_opt_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_opt_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Option_Omap_Ocompositionality,axiom,
% 198.12/198.37 ! [V_option_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_option_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_option_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Option_Omap_Ocomp,axiom,
% 198.12/198.37 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Option_Omap(T_a,T_c),V_g_2)) = hAPP(c_Option_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Option_Omap_Oidentity,axiom,
% 198.12/198.37 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Option_Omap_Oid,axiom,
% 198.12/198.37 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_infinite__UNIV__listI,axiom,
% 198.12/198.37 ! [T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_dom__option__map,axiom,
% 198.12/198.37 ! [V_m_2,V_f_2,T_c,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),T_a),c_Option_Omap(T_c,T_b)),V_f_2)),V_m_2)) = c_Map_Odom(T_a,T_c,V_m_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__simps_I1_J,axiom,
% 198.12/198.37 ! [V_m1_2,T_b,T_c,T_a,V_k_2,V_m2_2] :
% 198.12/198.37 ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_c) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__Some__iff,axiom,
% 198.12/198.37 ! [V_v_2,V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] :
% 198.12/198.37 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2)
% 198.12/198.37 <=> ? [B_k_H] :
% 198.12/198.37 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H)
% 198.12/198.37 & hAPP(V_m1_2,B_k_H) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__simps_I2_J,axiom,
% 198.12/198.37 ! [V_m1_2,T_b,T_c,V_k_H_2,T_a,V_k_2,V_m2_2] :
% 198.12/198.37 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_k_H_2)
% 198.12/198.37 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = hAPP(V_m1_2,V_k_H_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_option__map__o__map__upd,axiom,
% 198.12/198.37 ! [V_b_2,V_a_2,V_m_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),V_m_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_b_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__empty_I1_J,axiom,
% 198.12/198.37 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__empty_I2_J,axiom,
% 198.12/198.37 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_m_2,V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__comp__None__iff,axiom,
% 198.12/198.37 ! [V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] :
% 198.12/198.37 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 <=> ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 198.12/198.37 | ? [B_k_H] :
% 198.12/198.37 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H)
% 198.12/198.37 & hAPP(V_m1_2,B_k_H) = c_Option_Ooption_ONone(T_a) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Option_Omap__def,axiom,
% 198.12/198.37 ! [V_f_2,T_b,T_a] : hAPP(c_Option_Omap(T_a,T_b),V_f_2) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_a,c_Option_Ooption_ONone(T_b),hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__map__restrict,axiom,
% 198.12/198.37 ! [V_ks_2,V_f_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_ks_2)) = c_Map_Orestrict__map(T_a,T_b,hAPP(c_Fun_Ocomp(T_b,tc_Option_Ooption(T_b),T_a,c_Option_Ooption_OSome(T_b)),V_f_2),hAPP(c_List_Oset(T_a),V_ks_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_body__def,axiom,
% 198.12/198.37 c_Com_Obody = hAPP(c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom),c_Com_Obodies) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__set,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__map,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__eq__conv,axiom,
% 198.12/198.37 ! [V_g_2,V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 198.12/198.37 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_WT__bodies__def,axiom,
% 198.12/198.37 ( c_Com_OWT__bodies
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),B_x),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),B_x)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__on__map__eq__map,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 198.12/198.37 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 198.12/198.37 <=> V_xs_2 = V_ys_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__inj__on,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 198.12/198.37 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 198.12/198.37 => V_xs_2 = V_ys_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__fun__upd,axiom,
% 198.12/198.37 ! [V_v_2,V_f_2,T_b,V_xs_2,V_y_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hAPP(hAPP(c_List_Omap(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_y_2),V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__eq__dom,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 198.12/198.37 ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2)
% 198.12/198.37 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__SomeD,axiom,
% 198.12/198.37 ! [V_y_2,V_k_2,V_xs_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_k_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__is__SomeD,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2,V_xys_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_dom__map__of__conv__image__fst,axiom,
% 198.12/198.37 ! [V_xys_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_inj__on__mapI,axiom,
% 198.12/198.37 ! [V_A_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),V_A_2)))
% 198.12/198.37 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),V_A_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__eq__None__iff,axiom,
% 198.12/198.37 ! [V_x_2,V_xys_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = c_Option_Ooption_ONone(T_a)
% 198.12/198.37 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__map__keys,axiom,
% 198.12/198.37 ! [V_m_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Map_Odom(T_a,T_b,V_m_2)
% 198.12/198.37 => hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),T_b,T_a),c_Option_Othe(T_b)),V_m_2))),V_xs_2)) = V_m_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_ran__distinct,axiom,
% 198.12/198.37 ! [V_al_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_al_2)))
% 198.12/198.37 => c_Map_Oran(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_al_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_al_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__map__of__compr,axiom,
% 198.12/198.37 ! [V_xs_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))
% 198.12/198.37 => hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)))),c_Option_Ooption_OSome(T_b)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__map,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 198.12/198.37 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 198.12/198.37 & c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__inject__set,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))
% 198.12/198.37 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2)))
% 198.12/198.37 => ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2)
% 198.12/198.37 <=> hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__is__SomeI,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)))
% 198.12/198.37 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__eq__Some__iff,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 198.12/198.37 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Some__eq__map__of__iff,axiom,
% 198.12/198.37 ! [V_x_2,V_y_2,V_xys_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 198.12/198.37 => ( hAPP(c_Option_Ooption_OSome(T_b),V_y_2) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2)
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_greaterThanLessThan__upto,axiom,
% 198.12/198.37 ! [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)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_weak__map__of__SomeI,axiom,
% 198.12/198.37 ! [V_l_2,V_x_2,V_k_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_k_2),V_x_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_l_2)))
% 198.12/198.37 => ? [B_x] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_l_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_x) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_atLeastAtMost__upto,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__upto,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__upto,axiom,
% 198.12/198.37 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_atLeastLessThan__upto,axiom,
% 198.12/198.37 ! [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)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_greaterThanAtMost__upto,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nat__list__def,axiom,
% 198.12/198.37 ! [V_l_2] :
% 198.12/198.37 ( c_List_Onat__list(V_l_2)
% 198.12/198.37 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__remove1__eq,axiom,
% 198.12/198.37 ! [V_x_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_remove1__commute,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__remove1,axiom,
% 198.12/198.37 ! [V_x,V_xs,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_in__set__remove1,axiom,
% 198.12/198.37 ! [V_xs_2,T_a,V_b_2,V_a_2] :
% 198.12/198.37 ( V_a_2 != V_b_2
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_b_2,V_xs_2))))
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_notin__set__remove1,axiom,
% 198.12/198.37 ! [V_y_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_y_2,V_xs_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_remove1__idem,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => c_List_Oremove1(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__remove1__subset,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sorted__list__of__set__remove,axiom,
% 198.12/198.37 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_List_Oremove1(T_a,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__zip__map,axiom,
% 198.12/198.37 ! [V_f_2,T_b,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_x_2)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__zipI2,axiom,
% 198.12/198.37 ! [V_xs,T_b,V_ys,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__zipI1,axiom,
% 198.12/198.37 ! [V_ys,T_b,V_xs,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__same__conv__map,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))),V_xs_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__map__fst__snd,axiom,
% 198.12/198.37 ! [V_zs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2)) = V_zs_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__zip__map,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_g_2,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_c),V_f_2)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__zip__map2,axiom,
% 198.12/198.37 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_c)),tc_fun(T_d,T_a),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_d),V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__same,axiom,
% 198.12/198.37 ! [V_xs_2,V_b_2,V_a_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2))))
% 198.12/198.37 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 & V_a_2 = V_b_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__zip__leftD,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__zip__rightD,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_in__set__zipE,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 198.12/198.37 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__map__map,axiom,
% 198.12/198.37 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),T_c),c_COMBB(T_b,tc_prod(T_a,T_b),T_d)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__map1,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_b),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__map2,axiom,
% 198.12/198.37 ! [V_ys_2,V_f_2,T_c,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_a,T_c),V_xs_2),V_ys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sorted__list__of__set__insert,axiom,
% 198.12/198.37 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__zip__upd,axiom,
% 198.12/198.37 ! [V_z_2,V_y_2,V_x_2,V_zs_2,V_xs_2,T_b,V_ys_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 198.12/198.37 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 198.12/198.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 198.12/198.37 => ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_z_2))
% 198.12/198.37 => hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2)) ) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__zip,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__insort,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_b)
% 198.12/198.37 => hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_fun__left__comm__insort,axiom,
% 198.12/198.37 ! [T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => c_Finite__Set_Ofun__left__comm(T_a,tc_List_Olist(T_a),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__left__comm,axiom,
% 198.12/198.37 ! [V_xs_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__key__left__comm,axiom,
% 198.12/198.37 ! [V_xs_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 198.12/198.37 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__insort,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_b)
% 198.12/198.37 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_neq__if__length__neq,axiom,
% 198.12/198.37 ! [V_ys,V_xs,T_a] :
% 198.12/198.37 ( 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)
% 198.12/198.37 => V_xs != V_ys ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexn__length,axiom,
% 198.12/198.37 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))
% 198.12/198.37 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = V_n_2
% 198.12/198.37 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__eq__imp__length__eq,axiom,
% 198.12/198.37 ! [V_ys_2,V_g_2,T_c,V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_a),V_g_2),V_ys_2)
% 198.12/198.37 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__map,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_remove1__insort,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_card__length,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_card__distinct,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__card,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__zip__inject,axiom,
% 198.12/198.37 ! [V_zs_2,V_xs_2,T_b,V_ys_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 198.12/198.37 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 198.12/198.37 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 198.12/198.37 => ( hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))
% 198.12/198.37 => V_ys_2 = V_zs_2 ) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__fst__zip,axiom,
% 198.12/198.37 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__snd__zip,axiom,
% 198.12/198.37 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__insort,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_b)
% 198.12/198.37 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)))
% 198.12/198.37 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__pos__if__in__set,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => 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_a)),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__eq__conv,axiom,
% 198.12/198.37 ! [V_zs_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => ( hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2) = V_zs_2
% 198.12/198.37 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2) = V_xs_2
% 198.12/198.37 & hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2) = V_ys_2 ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lenlex__conv,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_List_Olex(T_a,V_r_2)))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lenlex__def,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_a),c_Wellfounded_Oless__than,c_List_Olex(T_a,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_COMBI(tc_List_Olist(T_a)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__lists__length__eq,axiom,
% 198.12/198.37 ! [V_n_2,V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__eq__iff__zip__eq,axiom,
% 198.12/198.37 ! [T_a,V_ys_2,V_xs_2] :
% 198.12/198.37 ( V_xs_2 = V_ys_2
% 198.12/198.37 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 198.12/198.37 & ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__zip__is__None,axiom,
% 198.12/198.37 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = c_Option_Ooption_ONone(T_b)
% 198.12/198.37 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__zip__is__Some,axiom,
% 198.12/198.37 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 <=> ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__remove1,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,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_a)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_dom__map__of__zip,axiom,
% 198.12/198.37 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) = hAPP(c_List_Oset(T_a),V_xs_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_finite__lists__length__le,axiom,
% 198.12/198.37 ! [V_n_2,V_A_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Ocard_H__def,axiom,
% 198.12/198.37 ! [V_A_2,T_a] :
% 198.12/198.37 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_Nitpick_Ocard_H(T_a,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a)))) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_Nitpick_Ocard_H(T_a,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__iff__zip,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 198.12/198.37 & ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),B_x)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__rtrancl__refl,axiom,
% 198.12/198.37 ! [V_r_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_xs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__eq__len,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__rtrancl__trans,axiom,
% 198.12/198.37 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__mono,axiom,
% 198.12/198.37 ! [V_s_2,V_r_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_List_Olistrel(T_a,V_s_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrelp__listrel__eq,axiom,
% 198.12/198.37 ! [V_xa_2,V_x_2,V_r_2,T_a] :
% 198.12/198.37 ( c_List_Olistrelp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2),V_x_2,V_xa_2)
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_xa_2)),c_List_Olistrel(T_a,V_r_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexn_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_n_2,V_r_2,T_a] : hAPP(c_List_Olexn(T_a,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_a),tc_List_Olist(T_a)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_a,tc_List_Olist(T_a)),tc_prod(T_a,tc_List_Olist(T_a))),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_Product__Type_Omap__pair(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),c_Wellfounded_Olex__prod(T_a,tc_List_Olist(T_a),V_r_2,hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_impossible__Cons,axiom,
% 198.12/198.37 ! [V_x,V_ys,V_xs,T_a] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__ConsD,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_y_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))))
% 198.12/198.37 => ( V_y_2 = V_x_2
% 198.12/198.37 | hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__Cons__Cons,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__subset__Cons,axiom,
% 198.12/198.37 ! [V_x_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_not__Cons__self,axiom,
% 198.12/198.37 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_not__Cons__self2,axiom,
% 198.12/198.37 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list_Oinject,axiom,
% 198.12/198.37 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H_2),V_list_H_2)
% 198.12/198.37 <=> ( V_a_2 = V_a_H_2
% 198.12/198.37 & V_list_2 = V_list_H_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrelp_Oequations_I2_J,axiom,
% 198.12/198.37 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_a] :
% 198.12/198.37 ( c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a4_2))
% 198.12/198.37 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 198.12/198.37 & c_List_Olistrelp(T_a,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrelp_OCons,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_a,V_y_2,V_x_2,V_r_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 198.12/198.37 => ( c_List_Olistrelp(T_a,V_r_2,V_xs_2,V_ys_2)
% 198.12/198.37 => c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_foldr_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_remove1_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_xs,T_a,V_y,V_x] :
% 198.12/198.37 ( ( V_x = V_y
% 198.12/198.37 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 198.12/198.37 & ( V_x != V_y
% 198.12/198.37 => 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)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__key_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_ys_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 198.12/198.37 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 198.12/198.37 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))
% 198.12/198.37 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__Cons__code_I2_J,axiom,
% 198.12/198.37 ! [V_ps,V_v,T_c,T_b,V_k,V_l] :
% 198.12/198.37 ( ( V_l = V_k
% 198.12/198.37 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Option_Ooption_OSome(T_c),V_v) )
% 198.12/198.37 & ( V_l != V_k
% 198.12/198.37 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(hAPP(c_Map_Omap__of(T_b,T_c),V_ps),V_k) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list_Osize_I4_J,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel_OCons,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_ps_2,V_p_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),V_p_2),V_ps_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2)),hAPP(c_Option_Ooption_OSome(T_b),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Cons__in__lex,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olex(T_a,V_r_2)))
% 198.12/198.37 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.37 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) )
% 198.12/198.37 | ( V_x_2 = V_y_2
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olex(T_a,V_r_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__Cons,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = c_List_Oset__Cons(T_a,hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__Cons__def,axiom,
% 198.12/198.37 ! [V_XS_2,V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBS(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_HOL_Obool,tc_List_Olist(T_a))),c_fequal))),c_List_Olist_OCons(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),V_XS_2)))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__Cons2,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 => ~ ! [B_x,B_xs] :
% 198.12/198.37 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_y_2)),V_r_2))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),B_xs),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__Cons1,axiom,
% 198.12/198.37 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 => ~ ! [B_y,B_ys] :
% 198.12/198.37 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_ys)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),B_y)),V_r_2))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),B_ys)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__sublist,axiom,
% 198.12/198.37 ! [V_I_2,V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osublist(T_a,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_a)),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)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_pick_Osimps,axiom,
% 198.12/198.37 ! [V_xs,V_x,T_a,V_i] :
% 198.12/198.37 ( ( 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)))
% 198.12/198.37 => 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) )
% 198.12/198.37 & ( ~ 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)))
% 198.12/198.37 => 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))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__sublistI,axiom,
% 198.12/198.37 ! [V_I_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_in__set__sublistD,axiom,
% 198.12/198.37 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_notin__set__sublistI,axiom,
% 198.12/198.37 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__sublist__subset,axiom,
% 198.12/198.37 ! [V_I_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_select__weight__cons__zero,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_pick__member,axiom,
% 198.12/198.37 ! [V_xs_2,T_a,V_i_2] :
% 198.12/198.37 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Random_Opick(T_a,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__simps_I2_J,axiom,
% 198.12/198.37 ! [V_xs,V_x,T_a] :
% 198.12/198.37 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.37 => 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)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__0,axiom,
% 198.12/198.37 ! [V_xs_2,T_b,T_a] :
% 198.12/198.37 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__addf,axiom,
% 198.12/198.37 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__const__mult,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,V_c_2,T_b,T_a] :
% 198.12/198.37 ( class_Rings_Osemiring__0(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__mult__const,axiom,
% 198.12/198.37 ! [V_xs_2,V_c_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( class_Rings_Osemiring__0(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),V_c_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__subtractf,axiom,
% 198.12/198.37 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( class_Groups_Oab__group__add(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__abs,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_a,T_a),c_Groups_Oabs__class_Oabs(T_a)),V_xs_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_uminus__listsum__map,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( class_Groups_Oab__group__add(T_a)
% 198.12/198.37 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(T_a,T_a,T_b,c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_xs_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_select__weight__def,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,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_a,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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_a,V_xs_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_a),c_COMBI(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 198.12/198.37 ! [V_f_2,V_xs_2,T_a,T_b] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.12/198.37 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 198.12/198.37 ! [V_l_2,V_k_2,V_f_2,T_a] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),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_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 198.12/198.37 ! [V_j_2,V_i_2,V_f_2,T_a] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),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_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__triv,axiom,
% 198.12/198.37 ! [V_xs_2,V_r_2,T_b,T_a] :
% 198.12/198.37 ( class_Rings_Osemiring__1(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),V_r_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__map__remove1,axiom,
% 198.12/198.37 ! [V_f_2,V_xs_2,V_x_2,T_a,T_b] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_select__weight__member,axiom,
% 198.12/198.37 ! [V_s_2,V_xs_2,T_a] :
% 198.12/198.37 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 198.12/198.37 ! [V_f_2,V_A_2,T_a,T_b] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.12/198.37 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a))))) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.37 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__insert__insort__key,axiom,
% 198.12/198.37 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 198.12/198.37 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 198.12/198.37 ! [V_ns_2] :
% 198.12/198.37 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 <=> ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 198.12/198.37 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__insort__insert,axiom,
% 198.12/198.37 ! [V_x_2,V_f_2,V_xs_2,T_a,T_b] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_b)
% 198.12/198.37 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__insert__triv,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__insort__insert,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__insert__key__triv,axiom,
% 198.12/198.37 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 198.12/198.37 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__insert__insort,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexord__cons__cons,axiom,
% 198.12/198.37 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2))),c_List_Olexord(T_a,V_r_2)))
% 198.12/198.37 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.37 | ( V_a_2 = V_b_2
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__zip,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_b)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_a,T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),tc_Nat_Onat),c_Product__Type_OPair(T_a,T_b)),hAPP(c_List_Onth(T_a),V_xs_2))),hAPP(c_List_Onth(T_b),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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__zip,axiom,
% 198.12/198.37 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => ( 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)))
% 198.12/198.37 => 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)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_elem__le__listsum__nat,axiom,
% 198.12/198.37 ! [V_ns,V_k] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => 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))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__Cons__0,axiom,
% 198.12/198.37 ! [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 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__Cons__Suc,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth_Osimps,axiom,
% 198.12/198.37 ! [V_n_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_a,V_x_2,hAPP(c_List_Onth(T_a),V_xs_2),V_n_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__eq__iff__nth__eq,axiom,
% 198.12/198.37 ! [T_a,V_ys_2,V_xs_2] :
% 198.12/198.37 ( V_xs_2 = V_ys_2
% 198.12/198.37 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 198.12/198.37 & ! [B_i] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_i) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_all__set__conv__all__nth,axiom,
% 198.12/198.37 ! [V_P_2,V_xs_2,T_a] :
% 198.12/198.37 ( ! [B_x] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.37 <=> ! [B_i] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__map,axiom,
% 198.12/198.37 ! [V_f_2,T_b,V_xs_2,T_a,V_n_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__conv__nth,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 <=> ! [B_i] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => ! [B_j] :
% 198.12/198.37 ( 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_2)))
% 198.12/198.37 => ( B_i != B_j
% 198.12/198.37 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j) ) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__eq__iff__index__eq,axiom,
% 198.12/198.37 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => ( hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2)
% 198.12/198.37 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_in__set__conv__nth,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 <=> ? [B_i] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 & hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = V_x_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__mem,axiom,
% 198.12/198.37 ! [V_xs_2,T_a,V_n_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__Cons_H,axiom,
% 198.12/198.37 ! [V_xs,V_x,T_a,V_n] :
% 198.12/198.37 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 198.12/198.37 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => 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))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__conv__nth,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__Cons__number__of,axiom,
% 198.12/198.37 ! [V_xs,V_x,T_a,V_v] :
% 198.12/198.37 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => 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 )
% 198.12/198.37 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => 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))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__setsum__nth,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__sublist,axiom,
% 198.12/198.37 ! [V_I_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),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))))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexord__lex,axiom,
% 198.12/198.37 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olex(T_a,V_r_2)))
% 198.12/198.37 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 198.12/198.37 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__iff__nth,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 198.12/198.37 & ! [B_n] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexord__take__index__conv,axiom,
% 198.12/198.37 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 198.12/198.37 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2)))
% 198.12/198.37 & hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),V_y_2) = V_x_2 )
% 198.12/198.37 | ? [B_i] :
% 198.12/198.37 ( 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_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2))))
% 198.12/198.37 & hAPP(hAPP(c_List_Otake(T_a),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_a),B_i),V_y_2)
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_pick__same,axiom,
% 198.12/198.37 ! [V_xs_2,T_a,V_l_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),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_a),V_xs_2),V_l_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_in__set__takeD,axiom,
% 198.12/198.37 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__take,axiom,
% 198.12/198.37 ! [V_xs,T_a,V_n,V_i] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 198.12/198.37 => 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) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__take__subset,axiom,
% 198.12/198.37 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__all,axiom,
% 198.12/198.37 ! [V_n,V_xs,T_a] :
% 198.12/198.37 ( 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))
% 198.12/198.37 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__take,axiom,
% 198.12/198.37 ! [V_i,V_xs,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 198.12/198.37 ! [V_m_2,V_n_2] :
% 198.12/198.37 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 198.12/198.37 <=> V_n_2 = V_m_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_times__code__numeral__code,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 198.12/198.37 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__take,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__zip,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__take,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zero__code__numeral__def,axiom,
% 198.12/198.37 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__Suc__Cons,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sublist__upt__eq__take,axiom,
% 198.12/198.37 ! [V_n_2,V_l_2,T_a] : c_List_Osublist(T_a,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_l_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__map,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_one__code__numeral__def,axiom,
% 198.12/198.37 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_less__code__numeral__code,axiom,
% 198.12/198.37 ! [V_m_2,V_n_2] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 198.12/198.37 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 198.12/198.37 <=> V_x_2 = V_y_2 ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_number__of__code__numeral__def,axiom,
% 198.12/198.37 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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__take__subset__set__take,axiom,
% 198.12/198.37 ! [V_xs_2,T_a,V_n_2,V_m_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_plus__code__numeral__code,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_less__eq__code__numeral__code,axiom,
% 198.12/198.37 ! [V_m_2,V_n_2] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_code__numeral__not__eq__zero,axiom,
% 198.12/198.37 ! [V_i_2] :
% 198.12/198.37 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.12/198.37 <=> 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)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__update__nat,axiom,
% 198.12/198.37 ! [V_n,V_ns,V_k] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => 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)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__list__update,axiom,
% 198.12/198.37 ! [V_i_2,V_a_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 198.12/198.37 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__id,axiom,
% 198.12/198.37 ! [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 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__list__update__neq,axiom,
% 198.12/198.37 ! [V_x,V_xs,T_a,V_j,V_i] :
% 198.12/198.37 ( V_i != V_j
% 198.12/198.37 => 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) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__beyond,axiom,
% 198.12/198.37 ! [V_x,V_i,V_xs,T_a] :
% 198.12/198.37 ( 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))
% 198.12/198.37 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__list__update,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__update,axiom,
% 198.12/198.37 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__update,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_update__zip,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__code_I2_J,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__code_I3_J,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,tc_List_Olist(T_a)),c_List_Olist__update(T_a,V_xs_2)),V_v_2)),V_i_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__overwrite,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__swap,axiom,
% 198.12/198.37 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 198.12/198.37 ( V_i != V_i_H
% 198.12/198.37 => 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) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__update__subsetI,axiom,
% 198.12/198.37 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_A_2))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__update__subset__insert,axiom,
% 198.12/198.37 ! [V_x_2,V_i_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__list__update__eq,axiom,
% 198.12/198.37 ! [V_x,V_xs,T_a,V_i] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => 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 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__same__conv,axiom,
% 198.12/198.37 ! [V_x_2,V_xs_2,T_a,V_i_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 198.12/198.37 <=> hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__list__update,axiom,
% 198.12/198.37 ! [V_x,V_j,V_xs,T_a,V_i] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => ( ( V_i = V_j
% 198.12/198.37 => 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 )
% 198.12/198.37 & ( V_i != V_j
% 198.12/198.37 => 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) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__update__memI,axiom,
% 198.12/198.37 ! [V_x_2,V_xs_2,T_a,V_n_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_n_2),V_x_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upd__upds__conv__if,axiom,
% 198.12/198.37 ! [V_y_2,V_f_2,V_xs_2,V_ys_2,T_b,V_x_2,T_a] :
% 198.12/198.37 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))))
% 198.12/198.37 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))))
% 198.12/198.37 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_select__def,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : c_Random_Oselect(T_a,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_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_a),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upds__apply__nontin,axiom,
% 198.12/198.37 ! [V_ys_2,V_f_2,T_b,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => hAPP(c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__add__upds,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__upds(T_a,T_b,V_m2_2,V_xs_2,V_ys_2)) = c_Map_Omap__upds(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_xs_2,V_ys_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_code__numeral_Onat__of__inject,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2] :
% 198.12/198.37 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 198.12/198.37 <=> V_x_2 = V_y_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 198.12/198.37 ! [V_l_2,V_k_2] :
% 198.12/198.37 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 198.12/198.37 <=> V_k_2 = V_l_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nat__of__of__nat,axiom,
% 198.12/198.37 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 198.12/198.37
% 198.12/198.37 fof(fact_of__nat__nat__of,axiom,
% 198.12/198.37 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nat__of__inverse,axiom,
% 198.12/198.37 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 198.12/198.37
% 198.12/198.37 fof(fact_type__definition__code__numeral,axiom,
% 198.12/198.37 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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_less__code__numeral__def,axiom,
% 198.12/198.37 ! [V_m_2,V_n_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 198.12/198.37 <=> 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))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nat__of,axiom,
% 198.12/198.37 ! [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)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nat__of__number,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_int__of__def,axiom,
% 198.12/198.37 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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_less__eq__code__numeral__def,axiom,
% 198.12/198.37 ! [V_m_2,V_n_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 198.12/198.37 <=> 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))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nat__of__code,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nat__of__aux__def,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upds__Cons,axiom,
% 198.12/198.37 ! [V_bs_2,V_b_2,V_as_2,V_a_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_as_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_bs_2)) = c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Suc__code__numeral__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_minus__code__numeral__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_of__nat__inverse,axiom,
% 198.12/198.37 ! [V_y_2] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 198.12/198.37 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_plus__code__numeral__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_div__code__numeral__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_times__code__numeral__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_mod__code__numeral__def,axiom,
% 198.12/198.37 ! [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))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upds__list__update2__drop,axiom,
% 198.12/198.37 ! [V_y_2,V_m_2,V_ys_2,T_b,V_i_2,V_xs_2,T_a] :
% 198.12/198.37 ( 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_2)),V_i_2))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 198.12/198.37 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upds__twist,axiom,
% 198.12/198.37 ! [V_bs_2,V_b_2,V_m_2,T_b,V_as_2,V_a_2,T_a] :
% 198.12/198.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_as_2)))
% 198.12/198.37 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,V_bs_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_code__numeral__decr,axiom,
% 198.12/198.37 ! [V_k] :
% 198.12/198.37 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 198.12/198.37 => 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))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_restrict__map__upds,axiom,
% 198.12/198.37 ! [V_m_2,V_D_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_D_2))
% 198.12/198.37 => c_Map_Orestrict__map(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2),V_D_2) = c_Map_Omap__upds(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(c_List_Oset(T_a),V_xs_2))),V_xs_2,V_ys_2) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_dom__map__upds,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))),c_Map_Odom(T_a,T_b,V_m_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_select__weigth__select,axiom,
% 198.12/198.37 ! [T_a,V_xs_2] :
% 198.12/198.37 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.37 => c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_a,V_xs_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_subtract__code__numeral__code,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__Nil2,axiom,
% 198.12/198.37 ! [V_r_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__Nil1,axiom,
% 198.12/198.37 ! [V_r_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__nonempty,axiom,
% 198.12/198.37 ! [V_x_2,V_k_2,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_a)
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update_Osimps_I1_J,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__code_I1_J,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upds__Nil2,axiom,
% 198.12/198.37 ! [V_as_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,c_List_Olist_ONil(T_b)) = V_m_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upds__Nil1,axiom,
% 198.12/198.37 ! [V_bs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,c_List_Olist_ONil(T_a),V_bs_2) = V_m_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__0__conv,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list_Osize_I3_J,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__is__Nil__conv,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map_Osimps_I1_J,axiom,
% 198.12/198.37 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nil__is__map__conv,axiom,
% 198.12/198.37 ! [V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.37 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sublist__nil,axiom,
% 198.12/198.37 ! [V_A_2,T_a] : c_List_Osublist(T_a,c_List_Olist_ONil(T_a),V_A_2) = c_List_Olist_ONil(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sublist__empty,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__key_Osimps_I1_J,axiom,
% 198.12/198.37 ! [V_x_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_b)
% 198.12/198.37 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list_Osimps_I3_J,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list_Osimps_I2_J,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sorted__list__of__set__empty,axiom,
% 198.12/198.37 ! [T_a] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_a)
% 198.12/198.37 => c_List_Olinorder__class_Osorted__list__of__set(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip_Osimps_I1_J,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__Nil,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_upto__empty,axiom,
% 198.12/198.37 ! [V_i,V_j] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 198.12/198.37 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__Cons__code_I1_J,axiom,
% 198.12/198.37 ! [V_k,T_a,T_b] : hAPP(hAPP(c_Map_Omap__of(T_b,T_a),c_List_Olist_ONil(tc_prod(T_b,T_a))),V_k) = c_Option_Ooption_ONone(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_foldr_Osimps_I1_J,axiom,
% 198.12/198.37 ! [V_a_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b),V_a_2) = V_a_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_remove1_Osimps_I1_J,axiom,
% 198.12/198.37 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct_Osimps_I1_J,axiom,
% 198.12/198.37 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_insort__not__Nil,axiom,
% 198.12/198.37 ! [V_xs_2,V_a_2,V_f_2,T_a,T_b] :
% 198.12/198.37 ( class_Orderings_Olinorder(T_b)
% 198.12/198.37 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrelp_ONil,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrelp_Oequations_I1_J,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__empty,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__empty2,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),V_xs_2)
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 198.12/198.37 ! [T_a] : hAPP(c_List_Oset(T_a),c_List_Olist_ONil(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__simps_I1_J,axiom,
% 198.12/198.37 ! [T_a] :
% 198.12/198.37 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__Nil,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__0,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__eq__Nil,axiom,
% 198.12/198.37 ! [V_xs_2,V_n_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.37 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 | V_xs_2 = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of_Osimps_I1_J,axiom,
% 198.12/198.37 ! [V_x_1,T_b,T_a] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),c_List_Olist_ONil(tc_prod(T_a,T_b))),V_x_1) = c_Option_Ooption_ONone(T_b) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__greater__0__conv,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] :
% 198.12/198.37 ( 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_a)),V_xs_2)))
% 198.12/198.37 <=> V_xs_2 != c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__1__Cons,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel_ONil,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexord__Nil__right,axiom,
% 198.12/198.37 ! [V_r_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olexord(T_a,V_r_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nil__notin__lex,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_ys_2)),c_List_Olex(T_a,V_r_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nil2__notin__lex,axiom,
% 198.12/198.37 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olex(T_a,V_r_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__Cons,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otake(T_a)),V_xs_2)),V_n_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_upto_Osimps,axiom,
% 198.12/198.37 ! [V_j,V_i] :
% 198.12/198.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 198.12/198.37 => 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)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 198.12/198.37 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sublist__singleton,axiom,
% 198.12/198.37 ! [V_x_2,T_a,V_A_2] :
% 198.12/198.37 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 198.12/198.37 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 198.12/198.37 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_minus__code__numeral__code,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_subtract__code__numeral__def,axiom,
% 198.12/198.37 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__Cons_H,axiom,
% 198.12/198.37 ! [V_xs,V_x,T_a,V_n] :
% 198.12/198.37 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => 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) )
% 198.12/198.37 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => 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)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_upto__rec__number__of,axiom,
% 198.12/198.37 ! [V_n,V_m] :
% 198.12/198.37 ( ( 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)))
% 198.12/198.37 => 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))) )
% 198.12/198.37 & ( ~ 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)))
% 198.12/198.37 => 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) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_select,axiom,
% 198.12/198.37 ! [V_s_2,T_a,V_xs_2] :
% 198.12/198.37 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__Nil,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__Cons__sing__Nil,axiom,
% 198.12/198.37 ! [V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_a,tc_List_Olist(T_a),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))),V_A_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__Cons__number__of,axiom,
% 198.12/198.37 ! [V_xs,V_x,T_a,V_v] :
% 198.12/198.37 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => 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) )
% 198.12/198.37 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.37 => 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)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_upto_Opsimps,axiom,
% 198.12/198.37 ! [V_j_2,V_i_2] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 198.12/198.37 => 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)) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 198.12/198.37 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_anamorph_Osimps,axiom,
% 198.12/198.37 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 198.12/198.37 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.37 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2) )
% 198.12/198.37 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.37 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(tc_List_Olist(T_a),T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),c_COMBB(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),T_a),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),T_b))),c_List_Olist_OCons(T_a))))),hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,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)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listset_Osimps_I1_J,axiom,
% 198.12/198.37 ! [T_a] : c_List_Olistset(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__Cons1,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_b,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_b),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)))),hAPP(c_List_Ozip(T_a,T_b),V_xs_2))),V_ys_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list_Osimps_I5_J,axiom,
% 198.12/198.37 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list_Osimps_I4_J,axiom,
% 198.12/198.37 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),c_List_Olist_ONil(T_b)) = V_f1_2 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listset_Osimps_I2_J,axiom,
% 198.12/198.37 ! [V_As_2,V_A_2,T_a] : c_List_Olistset(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_a,V_A_2,c_List_Olistset(T_a,V_As_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__Cons,axiom,
% 198.12/198.37 ! [V_ys_2,V_y_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_a,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),T_a),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_a),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),c_List_Ozip(T_a,T_b)),V_ys_2))),V_xs_2) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_upto_Opinduct,axiom,
% 198.12/198.37 ! [V_P_2,V_a1_2,V_a0_2] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => ( ! [B_i,B_j] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 198.12/198.37 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__upds__append1,axiom,
% 198.12/198.37 ! [V_x_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 198.12/198.37 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))),V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append1__eq__conv,axiom,
% 198.12/198.37 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a)))
% 198.12/198.37 <=> ( V_xs_2 = V_ys_2
% 198.12/198.37 & V_x_2 = V_y_2 ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Cons__eq__append__conv,axiom,
% 198.12/198.37 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2)
% 198.12/198.37 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 198.12/198.37 & hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = V_zs_2 )
% 198.12/198.37 | ? [B_ys_H] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) = V_ys_2
% 198.12/198.37 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__eq__Cons__conv,axiom,
% 198.12/198.37 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 198.12/198.37 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 198.12/198.37 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) )
% 198.12/198.37 | ? [B_ys_H] :
% 198.12/198.37 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H)
% 198.12/198.37 & hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__Nil,axiom,
% 198.12/198.37 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Nil__is__append__conv,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 198.12/198.37 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 198.12/198.37 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__Nil2,axiom,
% 198.12/198.37 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 198.12/198.37
% 198.12/198.37 fof(fact_self__append__conv,axiom,
% 198.12/198.37 ! [V_ys_2,T_a,V_xs_2] :
% 198.12/198.37 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 198.12/198.37 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_self__append__conv2,axiom,
% 198.12/198.37 ! [V_xs_2,T_a,V_ys_2] :
% 198.12/198.37 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__is__Nil__conv,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_a)
% 198.12/198.37 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 198.12/198.37 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__self__conv,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_xs_2
% 198.12/198.37 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__self__conv2,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_ys_2
% 198.12/198.37 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_eq__Nil__appendI,axiom,
% 198.12/198.37 ! [T_a,V_ys,V_xs] :
% 198.12/198.37 ( V_xs = V_ys
% 198.12/198.37 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listsum__append,axiom,
% 198.12/198.37 ! [V_ys,V_xs,T_a] :
% 198.12/198.37 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.37 => 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)) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_set__append,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_foldr__append,axiom,
% 198.12/198.37 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,c_List_Ofoldr(T_b,T_a,V_f_2,V_ys_2,V_a_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__eq__appendI,axiom,
% 198.12/198.37 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 198.12/198.37 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 198.12/198.37 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__same__eq,axiom,
% 198.12/198.37 ! [V_zs_2,V_xs_2,V_ys_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_xs_2)
% 198.12/198.37 <=> V_ys_2 = V_zs_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_same__append__eq,axiom,
% 198.12/198.37 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2)
% 198.12/198.37 <=> V_ys_2 = V_zs_2 ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__eq__append__conv2,axiom,
% 198.12/198.37 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_ts_2)
% 198.12/198.37 <=> ? [B_us] :
% 198.12/198.37 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),B_us)
% 198.12/198.37 & hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ys_2) = V_ts_2 )
% 198.12/198.37 | ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),B_us) = V_zs_2
% 198.12/198.37 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ts_2) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__assoc,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__of__append,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),V_xs_2),V_ys_2)) = c_Map_Omap__add(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_map__append,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_zip__append,axiom,
% 198.12/198.37 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 198.12/198.37 ( 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)
% 198.12/198.37 => ( 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)
% 198.12/198.37 => 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)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_length__append,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_fun__upds__append2__drop,axiom,
% 198.12/198.37 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_fun__upds__append__drop,axiom,
% 198.12/198.37 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.37 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.37 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2),V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Cons__eq__appendI,axiom,
% 198.12/198.37 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 198.12/198.37 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 198.12/198.37 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 198.12/198.37 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__Cons,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__append__length,axiom,
% 198.12/198.37 ! [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 ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__append__length__plus,axiom,
% 198.12/198.37 ! [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) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__append,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__append1,axiom,
% 198.12/198.37 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => 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) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__length,axiom,
% 198.12/198.37 ! [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)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_remove1__append,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)),V_ys_2) )
% 198.12/198.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.37 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oremove1(T_a,V_x_2,V_ys_2)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexord__append__leftI,axiom,
% 198.12/198.37 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_distinct__append,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 198.12/198.37 <=> ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.37 & hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 198.12/198.37 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_nth__append,axiom,
% 198.12/198.37 ! [V_ys,V_xs,T_a,V_n] :
% 198.12/198.37 ( ( 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)))
% 198.12/198.37 => 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) )
% 198.12/198.37 & ( ~ 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)))
% 198.12/198.37 => 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))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_list__update__append,axiom,
% 198.12/198.37 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 198.12/198.37 ( ( 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)))
% 198.12/198.37 => 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) )
% 198.12/198.37 & ( ~ 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)))
% 198.12/198.37 => 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)) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sublist__append,axiom,
% 198.12/198.37 ! [V_A_2,V_l_H_2,V_l_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Osublist(T_a,V_l_2,V_A_2)),c_List_Osublist(T_a,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_a)),V_l_2)))),V_A_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexord__append__left__rightI,axiom,
% 198.12/198.37 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2)))),c_List_Olexord(T_a,V_r_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_take__Suc__conv__app__nth,axiom,
% 198.12/198.37 ! [V_xs,T_a,V_i] :
% 198.12/198.37 ( 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)))
% 198.12/198.37 => 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))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_sublist__Cons,axiom,
% 198.12/198.37 ! [V_A_2,V_l_2,V_x_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_a)),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_a),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olist_ONil(T_a))),c_List_Osublist(T_a,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)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 198.12/198.37 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)))),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))))),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 & V_x_2 = V_y_2 )
% 198.12/198.37 | ( V_xs_2 = V_ys_2
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_lexord__append__leftD,axiom,
% 198.12/198.37 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2)))
% 198.12/198.37 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_a)),V_r_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Cons__acc__listrel1I,axiom,
% 198.12/198.37 ! [V_xs_2,V_r_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1__converse,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1__mono,axiom,
% 198.12/198.37 ! [V_s_2,V_r_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel1(T_a,V_s_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 198.12/198.37 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 198.12/198.37 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1I2,axiom,
% 198.12/198.37 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 198.12/198.37 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 198.12/198.37 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1__eq__len,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_not__listrel1__Nil,axiom,
% 198.12/198.37 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel1(T_a,V_r_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_not__Nil__listrel1,axiom,
% 198.12/198.37 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel1(T_a,V_r_2))) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_append__listrel1I,axiom,
% 198.12/198.37 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 & V_us_2 = V_vs_2 )
% 198.12/198.37 | ( V_xs_2 = V_ys_2
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_us_2),V_vs_2)),c_List_Olistrel1(T_a,V_r_2))) ) )
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_vs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_in__listrel1__converse,axiom,
% 198.12/198.37 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 198.12/198.37 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_Cons__listrel1__Cons,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.37 & V_xs_2 = V_ys_2 )
% 198.12/198.37 | ( V_x_2 = V_y_2
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1I1,axiom,
% 198.12/198.37 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_xs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1__subset__listrel,axiom,
% 198.12/198.37 ! [V_r_H_2,V_r_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 198.12/198.37 => ( c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_r_H_2)
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel(T_a,V_r_H_2))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1I,axiom,
% 198.12/198.37 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 198.12/198.37 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_vs_2))
% 198.12/198.37 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_vs_2))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 198.12/198.37 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 198.12/198.37 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 198.12/198.37 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1__iff__update,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 <=> ? [B_y,B_n] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),B_y)),V_r_2))
% 198.12/198.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.37 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),B_n),B_y) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_listrel1E,axiom,
% 198.12/198.37 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 198.12/198.37 => ~ ! [B_x,B_y] :
% 198.12/198.37 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 198.12/198.37 => ! [B_us,B_vs] :
% 198.12/198.37 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_vs))
% 198.12/198.37 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_vs)) ) ) ) ).
% 198.12/198.37
% 198.12/198.37 fof(fact_rotate1__def,axiom,
% 198.12/198.37 ! [V_xs_2,T_a] : hAPP(c_List_Orotate1(T_a),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)))),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upd__conv__take__nth__drop,axiom,
% 198.12/198.38 ! [V_a,V_xs,T_a,V_i] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__via__drop,axiom,
% 198.12/198.38 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 198.12/198.38 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 198.12/198.38 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__Suc__Cons,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__1__Cons,axiom,
% 198.12/198.38 ! [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 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__rotate1,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__drop,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__zip,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__drop,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__0,axiom,
% 198.12/198.38 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__drop,axiom,
% 198.12/198.38 ! [V_i,V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct1__rotate,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)))
% 198.12/198.38 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__drop__subset,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__rotate1,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__set__dropD,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_take__drop,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__take,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate1__is__Nil__conv,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orotate1(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__Nil,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_append__take__drop__id,axiom,
% 198.12/198.38 ! [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 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__drop__subset__set__drop,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_m_2,V_n_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__all,axiom,
% 198.12/198.38 ! [V_n,V_xs,T_a] :
% 198.12/198.38 ( 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))
% 198.12/198.38 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__eq__Nil,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,T_a] :
% 198.12/198.38 ( hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> 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_2)),V_n_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__append,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_append__eq__conv__conj,axiom,
% 198.12/198.38 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_zs_2
% 198.12/198.38 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2)
% 198.12/198.38 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__Cons,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Odrop(T_a)),V_xs_2),V_n_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__Cons_H,axiom,
% 198.12/198.38 ! [V_xs,V_x,T_a,V_n] :
% 198.12/198.38 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 => 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) )
% 198.12/198.38 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 => 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) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__drop,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_i,V_n] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_append__eq__append__conv__if,axiom,
% 198.12/198.38 ! [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_a] :
% 198.12/198.38 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 198.12/198.38 <=> ( ( 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 198.12/198.38 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 198.12/198.38 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 198.12/198.38 & ( ~ 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 198.12/198.38 => ( hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 198.12/198.38 & hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),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 ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__drop_H,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_i] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__simps,axiom,
% 198.12/198.38 ! [V_xs,V_x,T_b,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 198.12/198.38 & 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__Cons__number__of,axiom,
% 198.12/198.38 ! [V_xs,V_x,T_a,V_v] :
% 198.12/198.38 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 => 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) )
% 198.12/198.38 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 => 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) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_take__add,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_j,V_i] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate1__length01,axiom,
% 198.12/198.38 ! [V_xs,T_a] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_zip__append2,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_zip__append1,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_id__take__nth__drop,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_i] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_take__hd__drop,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_n] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__drop__conv__nth,axiom,
% 198.12/198.38 ! [V_n,T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => ( 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)))
% 198.12/198.38 => 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) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd_Osimps,axiom,
% 198.12/198.38 ! [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 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__map,axiom,
% 198.12/198.38 ! [V_f_2,T_b,T_a,V_xs_2] :
% 198.12/198.38 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 => hAPP(c_List_Ohd(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_a),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__append,axiom,
% 198.12/198.38 ! [V_ys,T_a,V_xs] :
% 198.12/198.38 ( ( V_xs = c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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) )
% 198.12/198.38 & ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__append2,axiom,
% 198.12/198.38 ! [V_ys,T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__in__set,axiom,
% 198.12/198.38 ! [T_a,V_xs_2] :
% 198.12/198.38 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__conv__nth,axiom,
% 198.12/198.38 ! [T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate1__hd__tl,axiom,
% 198.12/198.38 ! [T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__rotate__conv__nth,axiom,
% 198.12/198.38 ! [V_n,T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_tl__drop,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__tl,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__conv__mod,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__Suc,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_tl_Osimps_I2_J,axiom,
% 198.12/198.38 ! [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 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__rotate,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(c_List_Orotate(T_a,V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__tl,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Otl(T_b),V_xs_2)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__rotate,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__tl,axiom,
% 198.12/198.38 ! [V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__rotate,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)))
% 198.12/198.38 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__rotate,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__is__Nil__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_tl_Osimps_I1_J,axiom,
% 198.12/198.38 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_tl__append2,axiom,
% 198.12/198.38 ! [V_ys,T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_take__tl,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate1__rotate__swap,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__def,axiom,
% 198.12/198.38 ! [V_n_2,T_a] : c_List_Orotate(T_a,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_n_2),c_List_Orotate1(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__Suc,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_tl__append,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,hAPP(c_List_Otl(T_a),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a)),V_ys_2))),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate0,axiom,
% 198.12/198.38 ! [T_a] : c_List_Orotate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__add,axiom,
% 198.12/198.38 ! [V_n_2,V_m_2,T_a] : c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orotate(T_a,V_m_2)),c_List_Orotate(T_a,V_n_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__id,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_n] :
% 198.12/198.38 ( 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)
% 198.12/198.38 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__length01,axiom,
% 198.12/198.38 ! [V_n,V_xs,T_a] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__tl,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_tl__take,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_take__Suc,axiom,
% 198.12/198.38 ! [V_n,T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__drop__take,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_fold1__set,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 198.12/198.38 => ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Otl(T_a),V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list_Osize_I2_J,axiom,
% 198.12/198.38 ! [V_list_2,V_a_2,V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),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_a,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__append,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__Nil,axiom,
% 198.12/198.38 ! [V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),c_List_Olist_ONil(T_b)) = V_a_2 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__size__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_g_2,T_b,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_b,hAPP(c_Fun_Ocomp(T_a,tc_Nat_Onat,T_b,V_f_2),V_g_2),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_start__le__sum,axiom,
% 198.12/198.38 ! [V_ns_2,V_n_2,V_m_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldr__conv__foldl,axiom,
% 198.12/198.38 ! [V_a_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Groups_Oab__semigroup__add(T_a)
% 198.12/198.38 => c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__assoc,axiom,
% 198.12/198.38 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Groups_Osemigroup__add(T_a)
% 198.12/198.38 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_y_2),V_zs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__absorb0,axiom,
% 198.12/198.38 ! [V_zs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.38 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_zs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_zs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_c,V_a_2,V_g_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,T_a)),T_a),c_COMBB(T_b,T_a,T_c)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__Cons,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsum__foldl,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.38 => c_List_Omonoid__add__class_Olistsum(T_a) = c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__foldr1__lemma,axiom,
% 198.12/198.38 ! [V_xs_2,V_a_2,T_a] :
% 198.12/198.38 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.38 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__foldr1,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Groups_Omonoid__add(T_a)
% 198.12/198.38 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_xs_2) = c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sum__eq__0__conv,axiom,
% 198.12/198.38 ! [V_ns_2,V_m_2] :
% 198.12/198.38 ( 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)
% 198.12/198.38 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 & ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 198.12/198.38 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list_Osize_I1_J,axiom,
% 198.12/198.38 ! [V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 198.12/198.38 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 198.12/198.38 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Sup__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.38 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Inf__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.38 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Sup__fin__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Lattices_Olattice(T_a)
% 198.12/198.38 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Inf__fin__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Lattices_Olattice(T_a)
% 198.12/198.38 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Min__fin__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Max__fin__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_SUPR__set__fold,axiom,
% 198.12/198.38 ! [V_f_2,V_xs_2,T_b,T_a] :
% 198.12/198.38 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.38 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_INFI__set__fold,axiom,
% 198.12/198.38 ! [V_f_2,V_xs_2,T_b,T_a] :
% 198.12/198.38 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 198.12/198.38 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_f_2)),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__size__estimation,axiom,
% 198.12/198.38 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__size__estimation_H,axiom,
% 198.12/198.38 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__upds__fold__map__upd,axiom,
% 198.12/198.38 ! [V_vs_2,V_ks_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_ks_2,V_vs_2) = hAPP(c_List_Ofoldl(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),T_b))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b))))),c_Option_Ooption_OSome(T_b))),V_m_2),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ks_2),V_vs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_elem__le__sum,axiom,
% 198.12/198.38 ! [V_ns_2,V_n_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__size__conv__listsum,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,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_a,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listrel__subset,axiom,
% 198.12/198.38 ! [V_A_2,V_r_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2))))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__accD,axiom,
% 198.12/198.38 ! [V_r_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists_ONil,axiom,
% 198.12/198.38 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olists(T_a,V_A_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__mono,axiom,
% 198.12/198.38 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olists(T_a,V_A_2)),c_List_Olists(T_a,V_B_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_append__in__lists__conv,axiom,
% 198.12/198.38 ! [V_A_2,V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)),c_List_Olists(T_a,V_A_2)))
% 198.12/198.38 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 198.12/198.38 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__UNIV,axiom,
% 198.12/198.38 ! [T_a] : c_List_Olists(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_equiv__listrel,axiom,
% 198.12/198.38 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.38 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 198.12/198.38 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listrel__refl__on,axiom,
% 198.12/198.38 ! [V_r_2,V_A_2,T_a] :
% 198.12/198.38 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 198.12/198.38 => c_Relation_Orefl__on(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Cons__in__lists__iff,axiom,
% 198.12/198.38 ! [V_A_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_List_Olists(T_a,V_A_2)))
% 198.12/198.38 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 198.12/198.38 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__lists__conv__set,axiom,
% 198.12/198.38 ! [V_A_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__eq__set,axiom,
% 198.12/198.38 ! [V_A_2,T_a] : c_List_Olists(T_a,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__empty,axiom,
% 198.12/198.38 ! [T_a] : c_List_Olists(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__accI,axiom,
% 198.12/198.38 ! [V_r_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lexord__append__rightI,axiom,
% 198.12/198.38 ! [V_r_2,V_x_2,T_a,V_y_2] :
% 198.12/198.38 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_b),B_z)
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lexord__Nil__left,axiom,
% 198.12/198.38 ! [V_r_2,V_y_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 198.12/198.38 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_x) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__list__update,axiom,
% 198.12/198.38 ! [V_x,V_k,T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => ( ( 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))
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 198.12/198.38 & ( 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))
% 198.12/198.38 => 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) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsum__mono,axiom,
% 198.12/198.38 ! [V_g_2,V_f_2,V_xs_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Groups_Omonoid__add(T_b)
% 198.12/198.38 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_g_2),V_xs_2)))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__ConsL,axiom,
% 198.12/198.38 ! [V_x,T_a,V_xs] :
% 198.12/198.38 ( V_xs = c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__ConsR,axiom,
% 198.12/198.38 ! [V_x,T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last_Osimps,axiom,
% 198.12/198.38 ! [V_x,T_a,V_xs] :
% 198.12/198.38 ( ( V_xs = c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 198.12/198.38 & ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__appendL,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_ys] :
% 198.12/198.38 ( V_ys = c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__appendR,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_ys] :
% 198.12/198.38 ( V_ys != c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__append,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_ys] :
% 198.12/198.38 ( ( V_ys = c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 198.12/198.38 & ( V_ys != c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__map,axiom,
% 198.12/198.38 ! [V_f_2,T_b,T_a,V_xs_2] :
% 198.12/198.38 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_a,V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__in__set,axiom,
% 198.12/198.38 ! [T_a,V_as_2] :
% 198.12/198.38 ( V_as_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(T_a),c_List_Olast(T_a,V_as_2)),hAPP(c_List_Oset(T_a),V_as_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__snoc,axiom,
% 198.12/198.38 ! [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 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__drop,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_n] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__conv__nth,axiom,
% 198.12/198.38 ! [T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lexord__irreflexive,axiom,
% 198.12/198.38 ! [V_y_2,V_r_2,T_a] :
% 198.12/198.38 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2))
% 198.12/198.38 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lexord__linear,axiom,
% 198.12/198.38 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 198.12/198.38 ( ! [B_a,B_b] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_b)),V_r_2))
% 198.12/198.38 | B_a = B_b
% 198.12/198.38 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_b),B_a)),V_r_2)) )
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 198.12/198.38 | V_x_2 = V_y_2
% 198.12/198.38 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_x_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists_Osimps,axiom,
% 198.12/198.38 ! [V_A_2,V_a_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_a_2),c_List_Olists(T_a,V_A_2)))
% 198.12/198.38 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 198.12/198.38 | ? [B_a,B_l] :
% 198.12/198.38 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_l)
% 198.12/198.38 & hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 198.12/198.38 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_l),c_List_Olists(T_a,V_A_2))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__size__pointwise,axiom,
% 198.12/198.38 ! [V_g_2,V_f_2,V_xs_2,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_a,V_g_2,V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast__take,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_n] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__butlast,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Obutlast(T_b,V_xs_2)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast__append,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_ys] :
% 198.12/198.38 ( ( V_ys = c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 198.12/198.38 & ( V_ys != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast_Osimps_I1_J,axiom,
% 198.12/198.38 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__butlast,axiom,
% 198.12/198.38 ! [T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__set__butlastD,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_x,T_a,V_xs] :
% 198.12/198.38 ( ( V_xs = c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 198.12/198.38 & ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__butlast,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast__drop,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__set__butlast__appendI,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 198.12/198.38 | hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_ys_2)))) )
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast__snoc,axiom,
% 198.12/198.38 ! [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 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_take__butlast,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_n] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__butlast,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast__conv__take,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_butlast__list__update,axiom,
% 198.12/198.38 ! [V_x,V_xs,T_a,V_k] :
% 198.12/198.38 ( ( 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))
% 198.12/198.38 => 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) )
% 198.12/198.38 & ( 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))
% 198.12/198.38 => 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) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_append__butlast__last__id,axiom,
% 198.12/198.38 ! [T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => 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 ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_snoc__eq__iff__butlast,axiom,
% 198.12/198.38 ! [V_ys_2,V_x_2,V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = V_ys_2
% 198.12/198.38 <=> ( V_ys_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 & c_List_Obutlast(T_a,V_ys_2) = V_xs_2
% 198.12/198.38 & c_List_Olast(T_a,V_ys_2) = V_x_2 ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__take__lemma,axiom,
% 198.12/198.38 ! [V_ys,V_xs,T_a,V_k] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => ( 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)))
% 198.12/198.38 => ( ! [B_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 198.12/198.38 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 198.12/198.38 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__aux__max,axiom,
% 198.12/198.38 ! [V_xss_2,T_b,V_xs_2,T_a] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_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_a)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),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_b)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__is__subset,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__filter__le,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,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)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 198.12/198.38 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) )
% 198.12/198.38 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sum__length__filter__compl,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__filter,axiom,
% 198.12/198.38 ! [V_xs_2,V_Q_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remove1__filter__not,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 198.12/198.38 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__remove1,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_Q_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Q_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__filter,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__insort__triv,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,V_x_2,V_P_2,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__id__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = V_xs_2
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__empty__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter_Osimps_I1_J,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__append,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__filter,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)))),V_P_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__filter__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__filter__less,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__minus__filter__out,axiom,
% 198.12/198.38 ! [V_y_2,V_xs_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__in__sublist,axiom,
% 198.12/198.38 ! [V_s_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_a,V_xs_2,V_s_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__filter__conv__card,axiom,
% 198.12/198.38 ! [V_xs_2,V_p_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_a),V_xs_2))))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__filter__def,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),V_f_2)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_f_2)),c_Option_Ooption_ONone(T_a)))),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__max__length,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__map__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),c_List_Otranspose(T_b,V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose_Osimps_I1_J,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__filter__simps_I2_J,axiom,
% 198.12/198.38 ! [V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__empty,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Otranspose(T_a,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_a))
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose_Osimps_I2_J,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__of__filter__in,axiom,
% 198.12/198.38 ! [V_P_2,V_z_2,V_k_2,V_xs_2,T_a,T_b] :
% 198.12/198.38 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(V_P_2,V_k_2),V_z_2))
% 198.12/198.38 => hAPP(hAPP(c_Map_Omap__of(T_b,T_a),hAPP(c_List_Ofilter(tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2)),V_xs_2)),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__filter__simps_I1_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(T_a),T_a,c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2))),hAPP(V_f_2,V_x_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sublist__shift__lemma__Suc,axiom,
% 198.12/198.38 ! [V_is_2,V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_a,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_a,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_pick__drop__zero,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : c_Random_Opick(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_select__weigth__drop__zero,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__transpose,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_i_2] :
% 198.12/198.38 ( 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_a))),c_List_Otranspose(T_a,V_xs_2))))
% 198.12/198.38 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__transpose,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__filter__map__filter,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = c_List_Omap__filter(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_Option_Ooption(T_a)),hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),T_b),c_If(tc_Option_Ooption(T_a))),V_P_2)),hAPP(hAPP(c_COMBB(T_a,tc_Option_Ooption(T_a),T_b),c_Option_Ooption_OSome(T_a)),V_f_2))),c_Option_Ooption_ONone(T_a)),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_insort__key__remove1,axiom,
% 198.12/198.38 ! [V_f_2,V_xs_2,V_a_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 198.12/198.38 => ( hAPP(c_List_Ohd(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 198.12/198.38 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sublist__def,axiom,
% 198.12/198.38 ! [V_A_2,V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted_ONil,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__single,axiom,
% 198.12/198.38 ! [V_x,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__same,axiom,
% 198.12/198.38 ! [V_xs_2,V_g_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__map__same,axiom,
% 198.12/198.38 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__filter,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__butlast,axiom,
% 198.12/198.38 ! [V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__Suc,axiom,
% 198.12/198.38 ! [V_j,V_i] :
% 198.12/198.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => 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))) )
% 198.12/198.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__Suc__append,axiom,
% 198.12/198.38 ! [V_j,V_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__add__eq__append,axiom,
% 198.12/198.38 ! [V_k,V_j,V_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__conv__Nil,axiom,
% 198.12/198.38 ! [V_i,V_j] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 198.12/198.38 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__eq__Nil__conv,axiom,
% 198.12/198.38 ! [V_j_2,V_i_2] :
% 198.12/198.38 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 198.12/198.38 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_take__upt,axiom,
% 198.12/198.38 ! [V_n,V_m,V_i] :
% 198.12/198.38 ( 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))
% 198.12/198.38 => 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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__many__eq,axiom,
% 198.12/198.38 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)))
% 198.12/198.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 198.12/198.38 & c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__many,axiom,
% 198.12/198.38 ! [V_zs,V_y,V_x,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 198.12/198.38 => 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))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_drop__upt,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__drop,axiom,
% 198.12/198.38 ! [V_n,V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__upt,axiom,
% 198.12/198.38 ! [V_j,V_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__rec,axiom,
% 198.12/198.38 ! [V_j,V_i] :
% 198.12/198.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => 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)) )
% 198.12/198.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__conv__Cons,axiom,
% 198.12/198.38 ! [V_j,V_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => 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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__insort__insert,axiom,
% 198.12/198.38 ! [V_x_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__list__of__set__range,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__upto,axiom,
% 198.12/198.38 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__upt,axiom,
% 198.12/198.38 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__remove1,axiom,
% 198.12/198.38 ! [V_a,V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__upt,axiom,
% 198.12/198.38 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__insort,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2))
% 198.12/198.38 <=> c_List_Olinorder__class_Osorted(T_a,V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__distinct__set__unique,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 198.12/198.38 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 198.12/198.38 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__take,axiom,
% 198.12/198.38 ! [V_n,V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__upt,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_atLeastLessThan__upt,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__0,axiom,
% 198.12/198.38 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted_Oequations_I1_J,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__tl,axiom,
% 198.12/198.38 ! [V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__insort__insert__key,axiom,
% 198.12/198.38 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__Suc__upt,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__map__remove1,axiom,
% 198.12/198.38 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__insort__key,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)))
% 198.12/198.38 <=> c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__upt,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__Cons,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 198.12/198.38 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 & ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__append,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 198.12/198.38 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 & c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 198.12/198.38 & ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ! [B_xa] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),V_ys_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__rec__number__of,axiom,
% 198.12/198.38 ! [V_n,V_m] :
% 198.12/198.38 ( ( 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)))
% 198.12/198.38 => 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))) )
% 198.12/198.38 & ( ~ 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)))
% 198.12/198.38 => 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) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_upt__eq__Cons__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 198.12/198.38 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 198.12/198.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 198.12/198.38 & V_i_2 = V_x_2
% 198.12/198.38 & 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 ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__upt,axiom,
% 198.12/198.38 ! [V_j,V_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => 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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__insort,axiom,
% 198.12/198.38 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 198.12/198.38 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__nth,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) = V_xs_2 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_atLeastAtMost__upt,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_atLeast__upt,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 198.12/198.38 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 198.12/198.38 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 198.12/198.38 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 198.12/198.38 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.38 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__upt,axiom,
% 198.12/198.38 ! [V_j,V_k,V_i] :
% 198.12/198.38 ( 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))
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_greaterThanAtMost__upt,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted_Oequations_I2_J,axiom,
% 198.12/198.38 ! [V_a1_2,V_a2_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a1_2))
% 198.12/198.38 <=> ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_a1_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a2_2),B_x)) )
% 198.12/198.38 & c_List_Olinorder__class_Osorted(T_a,V_a1_2) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_greaterThanLessThan__upt,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__map__upt,axiom,
% 198.12/198.38 ! [V_f_2,T_a,V_m_2,V_n_2,V_i_2] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__list__of__set,axiom,
% 198.12/198.38 ! [V_A_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.38 => ( hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) = V_A_2
% 198.12/198.38 & c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))
% 198.12/198.38 & hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_atMost__upto,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_insort__remove1,axiom,
% 198.12/198.38 ! [V_xs_2,V_a_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__nth__mono,axiom,
% 198.12/198.38 ! [V_j,V_i,V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => ( 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)))
% 198.12/198.38 => 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))) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__equals__nth__mono,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 <=> ! [B_j] :
% 198.12/198.38 ( 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_2)))
% 198.12/198.38 => ! [B_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j))) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__sorted__distinct__set__unique,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)))
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2))
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)))
% 198.12/198.38 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 198.12/198.38 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sublist__shift__lemma,axiom,
% 198.12/198.38 ! [V_i_2,V_xs_2,V_A_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__rectangle,axiom,
% 198.12/198.38 ! [V_n_2,T_a,V_xs_2] :
% 198.12/198.38 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 198.12/198.38 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.12/198.38 => ( ! [B_i] :
% 198.12/198.38 ( 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_a))),V_xs_2)))
% 198.12/198.38 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),B_i)) = V_n_2 )
% 198.12/198.38 => c_List_Otranspose(T_a,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_a)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat),c_List_Onth(T_a)),hAPP(c_List_Onth(tc_List_Olist(T_a)),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_a))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose_Opsimps_I2_J,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)))
% 198.12/198.38 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)) = c_List_Otranspose(T_a,V_xss_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose_Opsimps_I1_J,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))))
% 198.12/198.38 => c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__column,axiom,
% 198.12/198.38 ! [V_i_2,V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 198.12/198.38 => ( 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_a))),V_xs_2)))
% 198.12/198.38 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__aux__filter__head,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),c_List_Ohd(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_inj__on__rev,axiom,
% 198.12/198.38 ! [V_A_2,T_a] : c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orev(T_a),V_A_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_singleton__rev__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(c_List_Orev(T_a),V_xs_2)
% 198.12/198.38 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__singleton__conv,axiom,
% 198.12/198.38 ! [V_x_2,V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))
% 198.12/198.38 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat__eq__Nil__conv,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] :
% 198.12/198.38 ( c_List_Oconcat(T_a,V_xss_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 198.12/198.38 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Nil__eq__concat__conv,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] :
% 198.12/198.38 ( c_List_Olist_ONil(T_a) = c_List_Oconcat(T_a,V_xss_2)
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 198.12/198.38 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__is__Nil__conv,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orev(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Nil__is__rev__conv,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a),V_xs_2)
% 198.12/198.38 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat_Osimps_I1_J,axiom,
% 198.12/198.38 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev_Osimps_I1_J,axiom,
% 198.12/198.38 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat_Osimps_I2_J,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__concat,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Orev(T_a)),hAPP(c_List_Orev(tc_List_Olist(T_a)),V_xs_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__concat,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__foldl__cons,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat__conv__foldl,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_xss_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__conv__concat,axiom,
% 198.12/198.38 ! [V_xss_2,V_xs_2,T_a] : hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oconcat(T_a,V_xss_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat__append,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__append,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__rev,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orev(T_a),V_xs_2)))
% 198.12/198.38 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__concat,axiom,
% 198.12/198.38 ! [V_xs_2,V_p_2,T_a] : hAPP(c_List_Ofilter(T_a,V_p_2),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Ofilter(T_a,V_p_2)),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__rev,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__rev__ident,axiom,
% 198.12/198.38 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__swap,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orev(T_a),V_xs_2) = V_ys_2
% 198.12/198.38 <=> V_xs_2 = hAPP(c_List_Orev(T_a),V_ys_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__is__rev__conv,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Orev(T_a),V_ys_2)
% 198.12/198.38 <=> V_xs_2 = V_ys_2 ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsum__rev,axiom,
% 198.12/198.38 ! [V_xs,T_a] :
% 198.12/198.38 ( class_Groups_Ocomm__monoid__add(T_a)
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldr__foldl,axiom,
% 198.12/198.38 ! [V_a_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),V_f_2),V_a_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__foldr,axiom,
% 198.12/198.38 ! [V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2),V_a_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__rev,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_zip__rev,axiom,
% 198.12/198.38 ! [V_ys,T_b,V_xs,T_a] :
% 198.12/198.38 ( 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)
% 198.12/198.38 => 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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__filter,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Orev(T_a),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev_Osimps_I2_J,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__eq__Cons__iff,axiom,
% 198.12/198.38 ! [V_ys_2,V_y_2,V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 198.12/198.38 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__concat,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oconcat(T_a,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xss_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__concat,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oconcat(T_a,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)),c_List_Oset(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__rev,axiom,
% 198.12/198.38 ! [T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_last__rev,axiom,
% 198.12/198.38 ! [T_a,V_xs] :
% 198.12/198.38 ( V_xs != c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__transpose,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__take,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__drop,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rotate__rev,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose_Osimps_I3_J,axiom,
% 198.12/198.38 ! [V_xss_2,V_xs_2,V_x_2,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__nth,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_n] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat__eq__concat__iff,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 198.12/198.38 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 198.12/198.38 => ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 198.12/198.38 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat__injective,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 198.12/198.38 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 198.12/198.38 => V_xs_2 = V_ys_2 ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_rev__update,axiom,
% 198.12/198.38 ! [V_y,V_xs,T_a,V_k] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => 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) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat__map__singleton,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_b),c_List_Olist_OCons(T_a)),V_f_2)),c_List_Olist_ONil(T_a))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__rev__nth__mono,axiom,
% 198.12/198.38 ! [V_j,V_i,V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 198.12/198.38 => ( 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)))
% 198.12/198.38 => 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))) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldr__max__sorted,axiom,
% 198.12/198.38 ! [V_y_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs_2))
% 198.12/198.38 => ( ( V_xs_2 = c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = V_y_2 )
% 198.12/198.38 & ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose_Opsimps_I3_J,axiom,
% 198.12/198.38 ! [V_xss_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)))
% 198.12/198.38 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__transpose__sorted,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 198.12/198.38 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 198.12/198.38 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 198.12/198.38 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_a))
% 198.12/198.38 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__column__length,axiom,
% 198.12/198.38 ! [V_i_2,V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 198.12/198.38 => ( 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_a))),V_xs_2)))
% 198.12/198.38 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__aux__filter__tail,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] : c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otl(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__nth__transpose__sorted,axiom,
% 198.12/198.38 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 198.12/198.38 => ( 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_a))),c_List_Otranspose(T_a,V_xs_2))))
% 198.12/198.38 => ( 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_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2))))
% 198.12/198.38 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transpose__transpose,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 198.12/198.38 => c_List_Otranspose(T_a,c_List_Otranspose(T_a,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a))),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 198.12/198.38 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OtakeWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_zip__takeWhile__fst,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_zip__takeWhile__snd,axiom,
% 198.12/198.38 ! [V_ys_2,V_P_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__eq__all__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = V_xs_2
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__takeWhileD,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__takeWhile__le,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,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_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__eq__take,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__takeWhile,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__tail,axiom,
% 198.12/198.38 ! [V_l_2,V_xs_2,T_a,V_x_2,V_P_2] :
% 198.12/198.38 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2))) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__takeWhile,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 198.12/198.38 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) )
% 198.12/198.38 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_return__list__def,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__append1,axiom,
% 198.12/198.38 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_nth__length__takeWhile,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__nth,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a,V_j_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))
% 198.12/198.38 => hAPP(hAPP(c_List_Onth(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__upds__def,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) = c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__not__last,axiom,
% 198.12/198.38 ! [T_a,V_xs_2] :
% 198.12/198.38 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),c_List_Olast(T_a,V_xs_2))),V_xs_2) = c_List_Obutlast(T_a,V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 198.12/198.38 ! [V_t_2,V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 198.12/198.38 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 198.12/198.38 ! [V_l] :
% 198.12/198.38 ( c_List_Onat__list(V_l)
% 198.12/198.38 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__remdups__concat,axiom,
% 198.12/198.38 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,c_List_Oconcat(T_a,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)),c_List_Oset(T_a))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__remdups,axiom,
% 198.12/198.38 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__remdups__leq,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups__map__remdups,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremdups(T_b,V_xs_2))) = c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__remdups,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__remdups,axiom,
% 198.12/198.38 ! [V_l,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups__eq__nil__iff,axiom,
% 198.12/198.38 ! [V_x_2,T_a] :
% 198.12/198.38 ( c_List_Oremdups(T_a,V_x_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups__eq__nil__right__iff,axiom,
% 198.12/198.38 ! [V_x_2,T_a] :
% 198.12/198.38 ( c_List_Olist_ONil(T_a) = c_List_Oremdups(T_a,V_x_2)
% 198.12/198.38 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups_Osimps_I1_J,axiom,
% 198.12/198.38 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remove1__remdups,axiom,
% 198.12/198.38 ! [V_x,V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => 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)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups__id__iff__distinct,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( c_List_Oremdups(T_a,V_xs_2) = V_xs_2
% 198.12/198.38 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__remdups__id,axiom,
% 198.12/198.38 ! [V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__remdups__eq,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 198.12/198.38 <=> c_List_Oremdups(T_a,V_xs_2) = V_xs_2 ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups__remdups,axiom,
% 198.12/198.38 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups__filter,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : c_List_Oremdups(T_a,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oremdups(T_a,V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_embed__list__def,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_remdups_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Oremdups(T_a,V_xs_2) )
% 198.12/198.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oremdups(T_a,V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__remdups__card__conv,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 198.12/198.38 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 198.12/198.38 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__neq__rev,axiom,
% 198.12/198.38 ! [V_x_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Otl(T_a),c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__neq__rev,axiom,
% 198.12/198.38 ! [V_x_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Orev(T_a),c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__dropWhile__id,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),c_List_OdropWhile(T_a,V_P_2,V_xs_2)) = V_xs_2 ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__dropWhile__le,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,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_OdropWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_hd__dropWhile,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) != c_List_Olist_ONil(T_a)
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__dropWhile,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__dropWhile,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_OdropWhile(T_a,V_P_2,V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 198.12/198.38 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_OdropWhile(T_a,V_P_2,V_xs_2) )
% 198.12/198.38 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = c_List_Olist_ONil(T_a)
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__map,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OdropWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__append1,axiom,
% 198.12/198.38 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_ys_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 198.12/198.38 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 198.12/198.38 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))
% 198.12/198.38 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__eq__drop,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__nth,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a,V_j_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_P_2,V_xs_2))))
% 198.12/198.38 => hAPP(hAPP(c_List_Onth(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsum__map__filter,axiom,
% 198.12/198.38 ! [V_f_2,V_P_2,V_xs_2,T_a,T_b] :
% 198.12/198.38 ( class_Groups_Omonoid__add(T_b)
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.38 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) )
% 198.12/198.38 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__nth__monoI,axiom,
% 198.12/198.38 ! [V_xs,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( ! [B_i,B_j] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 198.12/198.38 => ( 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)))
% 198.12/198.38 => 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))) ) )
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_n__lists_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,T_a] : c_Enum_On__lists(T_a,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_List_Omap(T_a,tc_List_Olist(T_a))),hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),V_xs_2)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_partition__filter__conv,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a] : c_List_Opartition(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_f_2)),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_partition__filter1,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__n__lists,axiom,
% 198.12/198.38 ! [V_n,V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__n__lists,axiom,
% 198.12/198.38 ! [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) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__n__lists__elem,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,V_ys_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))))
% 198.12/198.38 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_partition__P,axiom,
% 198.12/198.38 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_yes_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 & ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_no_2)))
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_partition_Osimps_I1_J,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_n__lists__Nil,axiom,
% 198.12/198.38 ! [T_a,V_n] :
% 198.12/198.38 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 => 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))) )
% 198.12/198.38 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.38 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_n__lists_Osimps_I1_J,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_partition_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),hAPP(c_If(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_List_Olist_OCons(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_List_Olist(T_a))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_List_Opartition(T_a,V_P_2,V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_partition__filter2,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_P_2)),V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_partition__set,axiom,
% 198.12/198.38 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 198.12/198.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_yes_2)),hAPP(c_List_Oset(T_a),V_no_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__n__lists,axiom,
% 198.12/198.38 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sublists__powset,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] : hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_Osublists(T_a,V_xs_2))) = hAPP(c_Set_OPow(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__sublists,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__set__sublists,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),c_List_Oset(T_a)),c_Enum_Osublists(T_a,V_xs_2)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sublists_Osimps_I1_J,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sublists_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] : c_Enum_Osublists(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_a)),tc_fun(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(tc_List_Olist(T_a))),c_List_Oappend(tc_List_Olist(T_a))),hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_a))))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_product_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_a,T_b)),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__the__def,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : c_Enum_Oenum__the(T_a,V_P_2) = c_HOL_OThe(T_a,V_P_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_product_Osimps_I1_J,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__product,axiom,
% 198.12/198.38 ! [V_ys,T_b,V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_product__list__set,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_List_Oset(T_b),V_ys_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__of__zip__enum__inject,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b))
% 198.12/198.38 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b))
% 198.12/198.38 => ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_xs_2))) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_ys_2)))
% 198.12/198.38 => V_xs_2 = V_ys_2 ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sort__foldl__insort,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))),c_List_Olist_ONil(T_a)),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__distinct,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),c_Enum_Oenum__class_Oenum(T_a))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__sort,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)))
% 198.12/198.38 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__option__def,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => c_Enum_Oenum__class_Oenum(tc_Option_Ooption(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(hAPP(c_List_Omap(T_a,tc_Option_Ooption(T_a)),c_Option_Ooption_OSome(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__prod__def,axiom,
% 198.12/198.38 ! [T_b,T_a] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_a)
% 198.12/198.38 & class_Enum_Oenum(T_b) )
% 198.12/198.38 => c_Enum_Oenum__class_Oenum(tc_prod(T_a,T_b)) = c_Enum_Oproduct(T_a,T_b,c_Enum_Oenum__class_Oenum(T_a),c_Enum_Oenum__class_Oenum(T_b)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__enum,axiom,
% 198.12/198.38 ! [V_x_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_UNIV__enum,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__UNIV,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__sort,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__sort,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sort__key__simps_I1_J,axiom,
% 198.12/198.38 ! [V_f_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__sort,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__sort,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,V_P_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__sort__key,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Osort__key(T_b,T_a,V_f_2,V_xs_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sort__key__simps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__fun__def,axiom,
% 198.12/198.38 ! [T_b,T_a] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_a)
% 198.12/198.38 & class_Enum_Oenum(T_b) )
% 198.12/198.38 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__fun__code,axiom,
% 198.12/198.38 ! [T_b,T_a] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_a)
% 198.12/198.38 & class_HOL_Oequal(T_a)
% 198.12/198.38 & class_Enum_Oenum(T_b) )
% 198.12/198.38 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_ex__n__lists__def,axiom,
% 198.12/198.38 ! [V_n_2,V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( c_Enum_Oex__n__lists(T_a,V_P_2,V_n_2)
% 198.12/198.38 <=> ? [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a)))))
% 198.12/198.38 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_all__n__lists__def,axiom,
% 198.12/198.38 ! [V_n_2,V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( c_Enum_Oall__n__lists(T_a,V_P_2,V_n_2)
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a)))))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__all__fun__def,axiom,
% 198.12/198.38 ! [V_P_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2))
% 198.12/198.38 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__ex__fun__def,axiom,
% 198.12/198.38 ! [V_P_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2))
% 198.12/198.38 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__ex,axiom,
% 198.12/198.38 ! [V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2))
% 198.12/198.38 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__all,axiom,
% 198.12/198.38 ! [V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2))
% 198.12/198.38 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_exists__code,axiom,
% 198.12/198.38 ! [V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 198.12/198.38 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_all__code,axiom,
% 198.12/198.38 ! [V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 198.12/198.38 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__all__option__def,axiom,
% 198.12/198.38 ! [V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(T_a)),V_P_2))
% 198.12/198.38 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a)))
% 198.12/198.38 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__ex__option__def,axiom,
% 198.12/198.38 ! [V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(T_a)),V_P_2))
% 198.12/198.38 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a)))
% 198.12/198.38 | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__all__prod__def,axiom,
% 198.12/198.38 ! [V_P_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_a,T_b)),V_P_2))
% 198.12/198.38 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__all(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__ex__prod__def,axiom,
% 198.12/198.38 ! [V_P_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_a,T_b)),V_P_2))
% 198.12/198.38 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__ex(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_order__fun_I1_J,axiom,
% 198.12/198.38 ! [V_g_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Orderings_Oorder(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 198.12/198.38 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_f_2)),V_g_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_order__fun_I2_J,axiom,
% 198.12/198.38 ! [V_g_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Orderings_Oorder(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 198.12/198.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 198.12/198.38 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__ex__fun__code,axiom,
% 198.12/198.38 ! [V_P_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a)
% 198.12/198.38 & class_HOL_Oequal(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2))
% 198.12/198.38 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_enum__all__fun__code,axiom,
% 198.12/198.38 ! [V_P_2,T_a,T_b] :
% 198.12/198.38 ( ( class_Enum_Oenum(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a)
% 198.12/198.38 & class_HOL_Oequal(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2))
% 198.12/198.38 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__of__zip__enum__is__Some,axiom,
% 198.12/198.38 ! [V_x,V_ys,T_b,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))
% 198.12/198.38 => ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a)),V_ys)),V_x) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__eq__filter,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))))
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a,V_n_2] :
% 198.12/198.38 ( ! [B_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) )
% 198.12/198.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) )
% 198.12/198.38 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_length__takeWhile__less__P__nth,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_P_2,V_j_2] :
% 198.12/198.38 ( ! [B_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 198.12/198.38 => ( 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_a)),V_xs_2)))
% 198.12/198.38 => 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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__Int__eq,axiom,
% 198.12/198.38 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_B_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lists__IntI,axiom,
% 198.12/198.38 ! [V_B_2,V_A_2,V_l_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_A_2)))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_B_2)))
% 198.12/198.38 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_l_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp_ONil,axiom,
% 198.12/198.38 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp__infI,axiom,
% 198.12/198.38 ! [V_B_2,V_l_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_l_2))
% 198.12/198.38 => ( hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_l_2))
% 198.12/198.38 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp__inf__eq,axiom,
% 198.12/198.38 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp__conj__eq,axiom,
% 198.12/198.38 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 198.12/198.38 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_x_2))
% 198.12/198.38 & hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_x_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp_Oequations_I1_J,axiom,
% 198.12/198.38 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__listsp__conv__set,axiom,
% 198.12/198.38 ! [V_xs_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_append__in__listsp__conv,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 198.12/198.38 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 198.12/198.38 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_ys_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp_Oequations_I2_J,axiom,
% 198.12/198.38 ! [V_a2_2,V_a1_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a2_2)))
% 198.12/198.38 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 198.12/198.38 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_a2_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp__mono,axiom,
% 198.12/198.38 ! [V_B_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_listsp__lists__eq,axiom,
% 198.12/198.38 ! [V_x_2,V_A_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_x_2),c_List_Olists(T_a,V_A_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__def,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.38 & ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted_Osimps,axiom,
% 198.12/198.38 ! [V_a_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_a_2)
% 198.12/198.38 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 198.12/198.38 | ? [B_xs,B_x] :
% 198.12/198.38 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 198.12/198.38 & ! [B_xa] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),B_xs)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) )
% 198.12/198.38 & c_List_Olinorder__class_Osorted(T_a,B_xs) ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__Cons,axiom,
% 198.12/198.38 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 198.12/198.38 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 198.12/198.38 & c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__map1,axiom,
% 198.12/198.38 ! [V_bs_2,V_as_2,V_f_2,T_c,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_as_2),V_bs_2)
% 198.12/198.38 <=> c_List_Olist__all2(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),V_P_2),V_f_2),V_as_2,V_bs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__map2,axiom,
% 198.12/198.38 ! [V_bs_2,V_f_2,T_c,V_as_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_bs_2))
% 198.12/198.38 <=> c_List_Olist__all2(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_c)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__appendI,axiom,
% 198.12/198.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2)
% 198.12/198.38 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_c_2,V_d_2)
% 198.12/198.38 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_b),V_b_2),V_d_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__append,axiom,
% 198.12/198.38 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.38 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.38 => ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))
% 198.12/198.38 <=> ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 & c_List_Olist__all2(T_a,T_b,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__rev1,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),V_ys_2)
% 198.12/198.38 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,hAPP(c_List_Orev(T_b),V_ys_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__rev,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),hAPP(c_List_Orev(T_b),V_ys_2))
% 198.12/198.38 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__Nil2,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,c_List_Olist_ONil(T_b))
% 198.12/198.38 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__Nil,axiom,
% 198.12/198.38 ! [V_ys_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,c_List_Olist_ONil(T_a),V_ys_2)
% 198.12/198.38 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__takeI,axiom,
% 198.12/198.38 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_ys_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__dropI,axiom,
% 198.12/198.38 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,V_bs_2)
% 198.12/198.38 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_bs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__lengthD,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__eq,axiom,
% 198.12/198.38 ! [T_a,V_ys_2,V_xs_2] :
% 198.12/198.38 ( V_xs_2 = V_ys_2
% 198.12/198.38 <=> c_List_Olist__all2(T_a,T_a,c_fequal,V_xs_2,V_ys_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__nthD2,axiom,
% 198.12/198.38 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__nthD,axiom,
% 198.12/198.38 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__conv__all__nth,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 198.12/198.38 & ! [B_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__update__cong,axiom,
% 198.12/198.38 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_b,V_xs_2,T_a,V_i_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 198.12/198.38 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__update__cong2,axiom,
% 198.12/198.38 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 198.12/198.38 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 198.12/198.38 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2I,axiom,
% 198.12/198.38 ! [V_P_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_a_2),V_b_2))))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) )
% 198.12/198.38 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 198.12/198.38 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_all__nth__imp__all__set,axiom,
% 198.12/198.38 ! [V_x_2,V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( ! [B_i] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__removeAll__inj__on,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_not__in__set__insert,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_removeAll_Osimps_I2_J,axiom,
% 198.12/198.38 ! [V_xs,T_a,V_y,V_x] :
% 198.12/198.38 ( ( V_x = V_y
% 198.12/198.38 => 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) )
% 198.12/198.38 & ( V_x != V_y
% 198.12/198.38 => 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)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__insert,axiom,
% 198.12/198.38 ! [V_x,V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__removeAll,axiom,
% 198.12/198.38 ! [V_x,V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_removeAll__append,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_removeAll__id,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2) = V_xs_2 ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_removeAll_Osimps_I1_J,axiom,
% 198.12/198.38 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_removeAll__filter__not,axiom,
% 198.12/198.38 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 198.12/198.38 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => hAPP(c_List_OremoveAll(T_a,V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_removeAll__filter__not__eq,axiom,
% 198.12/198.38 ! [V_x_2,T_a] : c_List_OremoveAll(T_a,V_x_2) = c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_insert__remdups,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__remove1__removeAll,axiom,
% 198.12/198.38 ! [V_x,V_xs,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 198.12/198.38 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__set__insert,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_List_Oset__insert,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oinsert(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_insert__Nil,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__removeAll__inj,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 198.12/198.38 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 198.12/198.38 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_set__removeAll,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_List_Oinsert__def,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 )
% 198.12/198.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_concat__map__maps,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) = c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_maps__def,axiom,
% 198.12/198.38 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_maps__simps_I2_J,axiom,
% 198.12/198.38 ! [V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_maps__simps_I1_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_b,T_a,V_f_2,V_xs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_distinct__concat,axiom,
% 198.12/198.38 ! [V_xs_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),V_xs_2))
% 198.12/198.38 => ( ! [B_ys] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),B_ys)) )
% 198.12/198.38 => ( ! [B_ys] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => ! [B_zs] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => ( B_ys != B_zs
% 198.12/198.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),B_ys)),hAPP(c_List_Oset(T_a),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 198.12/198.38 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oconcat(T_a,V_xs_2))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_measures__lesseq,axiom,
% 198.12/198.38 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_wf__measures,axiom,
% 198.12/198.38 ! [V_fs_2,T_a] : c_Wellfounded_Owf(T_a,c_List_Omeasures(T_a,V_fs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__measures_I1_J,axiom,
% 198.12/198.38 ! [V_y_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_Nat_Onat))))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_measures__def,axiom,
% 198.12/198.38 ! [V_fs_2,T_a] : c_List_Omeasures(T_a,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_a),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_a),c_List_Omap(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_a,tc_Nat_Onat),T_a,tc_Nat_Onat),c_COMBI(tc_fun(T_a,tc_Nat_Onat))))),V_fs_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__measures_I2_J,axiom,
% 198.12/198.38 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 198.12/198.38 <=> ( 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)))
% 198.12/198.38 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 198.12/198.38 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_measures__less,axiom,
% 198.12/198.38 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 198.12/198.38 ( 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)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_foldl__apply,axiom,
% 198.12/198.38 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_b,T_c,V_xs_2,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hAPP(c_Fun_Ocomp(T_c,T_c,T_b,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_h_2),hAPP(V_g_2,B_x)) )
% 198.12/198.38 => hAPP(c_List_Ofoldl(T_c,T_a,hAPP(c_COMBC(T_a,T_c,T_c),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_g_2),V_s_2),V_xs_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_zip__obtain__same__length,axiom,
% 198.12/198.38 ! [V_P_2,V_ys_2,T_b,V_xs_2,T_a] :
% 198.12/198.38 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)))) )
% 198.12/198.38 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_map__of__eqI,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 198.12/198.38 ( hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)) = hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2))
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2))))
% 198.12/198.38 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2),B_x) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),B_x) )
% 198.12/198.38 => hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_pos__not__random__dseq__def,axiom,
% 198.12/198.38 ! [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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_dropWhile__append2,axiom,
% 198.12/198.38 ! [V_ys_2,V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_a,V_P_2,V_ys_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all2__all__nthI,axiom,
% 198.12/198.38 ! [V_P_2,V_b_2,T_b,V_a_2,T_a] :
% 198.12/198.38 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 198.12/198.38 => ( ! [B_n] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_b_2),B_n))) )
% 198.12/198.38 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_finite__sorted__distinct__unique,axiom,
% 198.12/198.38 ! [V_A_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 198.12/198.38 => ? [B_x] :
% 198.12/198.38 ( hAPP(c_List_Oset(T_a),B_x) = V_A_2
% 198.12/198.38 & c_List_Olinorder__class_Osorted(T_a,B_x)
% 198.12/198.38 & hBOOL(hAPP(c_List_Odistinct(T_a),B_x))
% 198.12/198.38 & ! [B_y] :
% 198.12/198.38 ( ( hAPP(c_List_Oset(T_a),B_y) = V_A_2
% 198.12/198.38 & c_List_Olinorder__class_Osorted(T_a,B_y)
% 198.12/198.38 & hBOOL(hAPP(c_List_Odistinct(T_a),B_y)) )
% 198.12/198.38 => B_y = B_x ) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_takeWhile__append2,axiom,
% 198.12/198.38 ! [V_ys_2,V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_OtakeWhile(T_a,V_P_2,V_ys_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_insort__is__Cons,axiom,
% 198.12/198.38 ! [V_a_2,V_f_2,V_xs_2,T_a,T_b] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_b)
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 198.12/198.38 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_filter__eq__Cons__iff,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_a] :
% 198.12/198.38 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 198.12/198.38 <=> ? [B_us,B_vs] :
% 198.12/198.38 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 198.12/198.38 & ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 & hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Cons__eq__filter__iff,axiom,
% 198.12/198.38 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)
% 198.12/198.38 <=> ? [B_us,B_vs] :
% 198.12/198.38 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 198.12/198.38 & ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 198.12/198.38 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 & hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ball__nth,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a,V_n_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_sorted_OCons,axiom,
% 198.12/198.38 ! [V_x_2,V_xs_2,T_a] :
% 198.12/198.38 ( class_Orderings_Olinorder(T_a)
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) )
% 198.12/198.38 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 198.12/198.38 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex__length,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 198.12/198.38 <=> ? [B_n] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex__simps_I1_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 198.12/198.38 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 | c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex__iff,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 198.12/198.38 <=> ? [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex__rev,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__ex(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 198.12/198.38 <=> c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex__append,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 198.12/198.38 <=> ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 198.12/198.38 | c_List_Olist__ex(T_a,V_P_2,V_ys_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex__simps_I2_J,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : ~ c_List_Olist__ex(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__set__conv__decomp,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__set__conv__decomp__last,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 <=> ? [B_ys,B_zs] :
% 198.12/198.38 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 198.12/198.38 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_zs))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_in__set__conv__decomp__first,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 <=> ? [B_ys] :
% 198.12/198.38 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 198.12/198.38 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_ys))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all__length,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 198.12/198.38 <=> ! [B_n] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all__simps_I1_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 198.12/198.38 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 & c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all__iff,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all__rev,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__all(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 198.12/198.38 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all__append,axiom,
% 198.12/198.38 ! [V_ys_2,V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 198.12/198.38 <=> ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 198.12/198.38 & c_List_Olist__all(T_a,V_P_2,V_ys_2) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_Ball__set__list__all,axiom,
% 198.12/198.38 ! [V_P_2,V_xs_2,T_a] :
% 198.12/198.38 ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.38 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all__simps_I2_J,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : c_List_Olist__all(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__all__iff__raw,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex1__simps_I2_J,axiom,
% 198.12/198.38 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__ex1(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 198.12/198.38 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_Olist__all(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 198.12/198.38 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.38 => c_List_Olist__ex1(T_a,V_P_2,V_xs_2) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_setprod__nonneg,axiom,
% 198.12/198.38 ! [V_f_2,V_A_2,T_a,T_b] :
% 198.12/198.38 ( class_Rings_Olinordered__semidom(T_b)
% 198.12/198.38 => ( ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex1__simps_I1_J,axiom,
% 198.12/198.38 ! [V_P_2,T_a] : ~ c_List_Olist__ex1(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_exists1__code,axiom,
% 198.12/198.38 ! [V_P_2,T_a] :
% 198.12/198.38 ( class_Enum_Oenum(T_a)
% 198.12/198.38 => ( ? [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.38 & ! [B_y] :
% 198.12/198.38 ( hBOOL(hAPP(V_P_2,B_y))
% 198.12/198.38 => B_y = B_x ) )
% 198.12/198.38 <=> c_List_Olist__ex1(T_a,V_P_2,c_Enum_Oenum__class_Oenum(T_a)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_list__ex1__iff,axiom,
% 198.12/198.38 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.38 ( c_List_Olist__ex1(T_a,V_P_2,V_xs_2)
% 198.12/198.38 <=> ? [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 & hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.38 & ! [B_y] :
% 198.12/198.38 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.38 & hBOOL(hAPP(V_P_2,B_y)) )
% 198.12/198.38 => B_y = B_x ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_bool_Osize_I1_J,axiom,
% 198.12/198.38 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_bool_Osize_I2_J,axiom,
% 198.12/198.38 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_finite__less__ub,axiom,
% 198.12/198.38 ! [V_u_2,V_f_2] :
% 198.12/198.38 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 198.12/198.38 => 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)))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_measure__function__int,axiom,
% 198.12/198.38 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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_measure__size,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_Nat_Osize(T_a)
% 198.12/198.38 => c_FunDef_Ois__measure(T_a,c_Nat_Osize__class_Osize(T_a)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_is__measure_Ointros,axiom,
% 198.12/198.38 ! [V_f_2,T_a] : c_FunDef_Ois__measure(T_a,V_f_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_is__measure_Oequations,axiom,
% 198.12/198.38 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_is__measure_Osimps,axiom,
% 198.12/198.38 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_measure__fst,axiom,
% 198.12/198.38 ! [T_b,V_f_2,T_a] :
% 198.12/198.38 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 198.12/198.38 => c_FunDef_Ois__measure(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_a,T_b)),V_f_2),c_Product__Type_Ofst(T_a,T_b))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_measure__snd,axiom,
% 198.12/198.38 ! [T_b,V_f_2,T_a] :
% 198.12/198.38 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 198.12/198.38 => c_FunDef_Ois__measure(tc_prod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_b,T_a)),V_f_2),c_Product__Type_Osnd(T_b,T_a))) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_equal__fun__def,axiom,
% 198.12/198.38 ! [V_g_2,V_f_2,T_a,T_b] :
% 198.12/198.38 ( ( class_HOL_Oequal(T_b)
% 198.12/198.38 & class_Enum_Oenum(T_a) )
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 198.12/198.38 <=> ! [B_x] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a))))
% 198.12/198.38 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_transfer__morphism__int__nat,axiom,
% 198.12/198.38 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)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__equal,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_HOL_Oequal(T_a)
% 198.12/198.38 => c_fequal = c_HOL_Oequal__class_Oequal(T_a) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_equal__eq,axiom,
% 198.12/198.38 ! [V_y_2,V_x_2,T_a] :
% 198.12/198.38 ( class_HOL_Oequal(T_a)
% 198.12/198.38 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x_2),V_y_2))
% 198.12/198.38 <=> V_x_2 = V_y_2 ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_equal__refl,axiom,
% 198.12/198.38 ! [V_x,T_a] :
% 198.12/198.38 ( class_HOL_Oequal(T_a)
% 198.12/198.38 => hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x),V_x)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_equal,axiom,
% 198.12/198.38 ! [T_a] :
% 198.12/198.38 ( class_HOL_Oequal(T_a)
% 198.12/198.38 => c_HOL_Oequal__class_Oequal(T_a) = c_fequal ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_bool_Osize_I4_J,axiom,
% 198.12/198.38 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_bool_Osize_I3_J,axiom,
% 198.12/198.38 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_size__code,axiom,
% 198.12/198.38 ! [V_xq_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),T_a),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 198.12/198.38 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 198.12/198.38 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.38 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_a) )
% 198.12/198.38 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.38 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I2_J,axiom,
% 198.12/198.38 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I5_J,axiom,
% 198.12/198.38 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I12_J,axiom,
% 198.12/198.38 ! [V_k1_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OMin))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OMin)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I8_J,axiom,
% 198.12/198.38 ! [V_k2_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k2_2)))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),V_k2_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I9_J,axiom,
% 198.12/198.38 ! [V_k1_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OPls))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OPls)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I3_J,axiom,
% 198.12/198.38 ! [V_k2_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k2_2)))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),V_k2_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I15_J,axiom,
% 198.12/198.38 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OBit0(V_k2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I14_J,axiom,
% 198.12/198.38 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OBit1(V_k2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_equal__int__def,axiom,
% 198.12/198.38 ! [V_l_2,V_k_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2))
% 198.12/198.38 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__number__of__int__code,axiom,
% 198.12/198.38 ! [V_l_2,V_k_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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)))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I6_J,axiom,
% 198.12/198.38 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I16_J,axiom,
% 198.12/198.38 ! [V_k2_2,V_k1_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I1_J,axiom,
% 198.12/198.38 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I13_J,axiom,
% 198.12/198.38 ! [V_k2_2,V_k1_2] :
% 198.12/198.38 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 198.12/198.38 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I10_J,axiom,
% 198.12/198.38 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OPls)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I4_J,axiom,
% 198.12/198.38 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I11_J,axiom,
% 198.12/198.38 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OMin)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__code_I7_J,axiom,
% 198.12/198.38 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k2))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lazy__sequence__size__code,axiom,
% 198.12/198.38 ! [V_xq_2,V_s_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_a,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_a),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 198.12/198.38 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Opos__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_eq__int__refl,axiom,
% 198.12/198.38 ! [V_k] : hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k),V_k)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_seq__case,axiom,
% 198.12/198.38 ! [V_xq_2,V_g_2,V_f_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f_2,V_g_2,V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(T_a,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),T_a),V_g_2)),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_yieldn__def,axiom,
% 198.12/198.38 ! [T_a] : c_Lazy__Sequence_Oyieldn(T_a) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_a),T_a,c_Lazy__Sequence_Oyield(T_a)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 198.12/198.38 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 198.12/198.38 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Opos__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_pos__empty__def,axiom,
% 198.12/198.38 ! [V_seed_2,V_size_2,V_nrandom_2,T_a] : c_New__Random__Sequence_Opos__empty(T_a,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_a) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_pos__bind__def,axiom,
% 198.12/198.38 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 198.12/198.38 ! [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))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 198.12/198.38 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,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_a,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 198.12/198.38 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 198.12/198.38
% 198.12/198.38 fof(fact__01,axiom,
% 198.12/198.38 ! [V_xq,V_x,T_a] : hAPP(c_Lazy__Sequence_Oyield(T_a),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq)) = hAPP(c_Option_Ooption_OSome(tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_x),V_xq)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_lazy__sequence_Oinject,axiom,
% 198.12/198.38 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_a] :
% 198.12/198.38 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H_2,V_lazy__sequence_H_2)
% 198.12/198.38 <=> ( V_a_2 = V_a_H_2
% 198.12/198.38 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_pos__map__def,axiom,
% 198.12/198.38 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Opos__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a))))),T_b,c_New__Random__Sequence_Opos__single(T_a)),V_f_2)) ).
% 198.12/198.38
% 198.12/198.38 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 198.12/198.38 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 198.12/198.38 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.38 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_a) )
% 198.12/198.38 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 198.12/198.39 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 198.12/198.39 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Oneg__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_pos__single__def,axiom,
% 198.12/198.39 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_a,V_x_2) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_New__DSequence_Opos__single__def,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 198.12/198.39 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Oneg__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_neg__bind__def,axiom,
% 198.12/198.39 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact__02,axiom,
% 198.12/198.39 ! [V_s2_2,V_s1_2,T_b,T_a] : c_Lazy__Sequence_Oproduct(T_a,T_b,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_a,tc_prod(T_a,T_b),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_a),c_Lazy__Sequence_Obind(T_b,tc_prod(T_a,T_b),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_b),c_Lazy__Sequence_Osingle(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_neg__map__def,axiom,
% 198.12/198.39 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Oneg__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a)))))),T_b,c_New__Random__Sequence_Oneg__single(T_a)),V_f_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_small__lazy__list_Osimps,axiom,
% 198.12/198.39 ! [V_d_2,T_a] :
% 198.12/198.39 ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 198.12/198.39 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_a),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_a),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),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_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),c_Lazy__Sequence_Oproduct(T_a,tc_List_Olist(T_a),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,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_a),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_a,tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)))),c_List_Olist_OCons(T_a))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_a)))) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_small__lazy__prod__def,axiom,
% 198.12/198.39 ! [V_d,T_b,T_a] :
% 198.12/198.39 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 198.12/198.39 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 198.12/198.39 => 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)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact__03,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_neg__single__def,axiom,
% 198.12/198.39 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_a,V_x_2) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_New__DSequence_Opos__union__def,axiom,
% 198.12/198.39 ! [V_i_2,V_yq_2,V_xq_2,T_a] : hAPP(c_New__DSequence_Opos__union(T_a,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_a,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_pos__union__def,axiom,
% 198.12/198.39 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_a] : c_New__Random__Sequence_Opos__union(T_a,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_a,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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_small__lazy_H_Osimps,axiom,
% 198.12/198.39 ! [V_i,V_d] :
% 198.12/198.39 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 198.12/198.39 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 198.12/198.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 198.12/198.39 => 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)))) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_small__lazy_H_Opsimps,axiom,
% 198.12/198.39 ! [V_i_2,V_d_2] :
% 198.12/198.39 ( 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)))
% 198.12/198.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 198.12/198.39 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 198.12/198.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 198.12/198.39 => 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)))) ) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_small__lazy__int__def,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_small__lazy_H_Opinduct,axiom,
% 198.12/198.39 ! [V_P_2,V_a1_2,V_a0_2] :
% 198.12/198.39 ( 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)))
% 198.12/198.39 => ( ! [B_d,B_i] :
% 198.12/198.39 ( 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)))
% 198.12/198.39 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 198.12/198.39 => hBOOL(hAPP(hAPP(V_P_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 198.12/198.39 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 198.12/198.39 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_hb__flat_Osimps_I2_J,axiom,
% 198.12/198.39 ! [V_xqq_2,V_xq_2,T_a] : c_Lazy__Sequence_Ohb__flat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_xq_2,V_xqq_2)) = c_Lazy__Sequence_Oappend(tc_Option_Ooption(T_a),hAPP(c_Option_Ooption_Ooption__case(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)),tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)),c_Lazy__Sequence_Ohit__bound(T_a),c_COMBI(tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)))),V_xq_2),c_Lazy__Sequence_Ohb__flat(T_a,V_xqq_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_New__DSequence_Oneg__union__def,axiom,
% 198.12/198.39 ! [V_i_2,V_y_2,V_x_2,T_a] : hAPP(c_New__DSequence_Oneg__union(T_a,V_x_2,V_y_2),V_i_2) = c_Lazy__Sequence_Oappend(tc_Option_Ooption(T_a),hAPP(V_x_2,V_i_2),hAPP(V_y_2,V_i_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_hb__bind__def,axiom,
% 198.12/198.39 ! [V_f_2,V_xq_2,T_a,T_b] : c_Lazy__Sequence_Ohb__bind(T_b,T_a,V_xq_2,V_f_2) = c_Lazy__Sequence_Ohb__flat(T_a,c_Lazy__Sequence_Ohb__map(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a)),V_f_2,V_xq_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_hb__map_Osimps_I2_J,axiom,
% 198.12/198.39 ! [V_xq_2,V_x_2,V_f_2,T_a,T_b] : c_Lazy__Sequence_Ohb__map(T_b,T_a,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(T_b),V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Option_Ooption(T_a),hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_x_2),c_Lazy__Sequence_Ohb__map(T_b,T_a,V_f_2,V_xq_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_neg__union__def,axiom,
% 198.12/198.39 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_a] : c_New__Random__Sequence_Oneg__union(T_a,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__union(T_a,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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_New__DSequence_Oneg__map__def,axiom,
% 198.12/198.39 ! [V_i_2,V_xq_2,V_f_2,T_a,T_b] : c_New__DSequence_Oneg__map(T_b,T_a,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Ohb__map(T_b,T_a,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_length__splice,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_acyclicP__converse,axiom,
% 198.12/198.39 ! [V_r_2,T_a] :
% 198.12/198.39 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Predicate_Oconversep(T_a,T_a,V_r_2))))
% 198.12/198.39 <=> c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_splice_Osimps_I3_J,axiom,
% 198.12/198.39 ! [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))) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversepD,axiom,
% 198.12/198.39 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2))
% 198.12/198.39 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversep_Ointros,axiom,
% 198.12/198.39 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 198.12/198.39 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_b_2),V_a_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversep_Oequations,axiom,
% 198.12/198.39 ! [V_a1_2,V_a2_2,V_r_2,T_b,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a2_2),V_a1_2))
% 198.12/198.39 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversep__iff,axiom,
% 198.12/198.39 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2))
% 198.12/198.39 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversep__conversep,axiom,
% 198.12/198.39 ! [V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Oconversep(T_a,T_b,V_r_2)) = V_r_2 ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversep__eq,axiom,
% 198.12/198.39 ! [T_a] : c_Predicate_Oconversep(T_a,T_a,c_fequal) = c_fequal ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversep__noteq,axiom,
% 198.12/198.39 ! [V_y_2,V_x_2,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 198.12/198.39 <=> V_x_2 != V_y_2 ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_converse__pred__comp,axiom,
% 198.12/198.39 ! [V_s_2,V_r_2,T_c,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Opred__comp(T_b,T_c,T_a,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_a,T_c,T_b,c_Predicate_Oconversep(T_c,T_a,V_s_2),c_Predicate_Oconversep(T_b,T_c,V_r_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_converse__join,axiom,
% 198.12/198.39 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_converse__meet,axiom,
% 198.12/198.39 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_splice__Nil2,axiom,
% 198.12/198.39 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 198.12/198.39
% 198.12/198.39 fof(fact_splice_Osimps_I1_J,axiom,
% 198.12/198.39 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 198.12/198.39
% 198.12/198.39 fof(fact_conversep__converse__eq,axiom,
% 198.12/198.39 ! [V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2),V_y_2))
% 198.12/198.39 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_splice_Osimps_I2_J,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_tl__replicate,axiom,
% 198.12/198.39 ! [V_x,T_a,V_n] :
% 198.12/198.39 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.39 => 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) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_eq__comp__r,axiom,
% 198.12/198.39 ! [V_R_2,T_a] : c_Predicate_Opred__comp(T_a,T_a,T_a,c_fequal,c_Predicate_Opred__comp(T_a,T_a,T_a,V_R_2,c_fequal)) = V_R_2 ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__append__same,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__0,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_empty__replicate,axiom,
% 198.12/198.39 ! [V_x_2,V_n_2,T_a] :
% 198.12/198.39 ( c_List_Olist_ONil(T_a) = c_List_Oreplicate(T_a,V_n_2,V_x_2)
% 198.12/198.39 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__empty,axiom,
% 198.12/198.39 ! [V_x_2,V_n_2,T_a] :
% 198.12/198.39 ( c_List_Oreplicate(T_a,V_n_2,V_x_2) = c_List_Olist_ONil(T_a)
% 198.12/198.39 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_filter__replicate,axiom,
% 198.12/198.39 ! [V_n_2,T_a,V_x_2,V_P_2] :
% 198.12/198.39 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.39 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Oreplicate(T_a,V_n_2,V_x_2) )
% 198.12/198.39 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 198.12/198.39 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_List_Olist_ONil(T_a) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_concat__replicate__trivial,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_map__replicate,axiom,
% 198.12/198.39 ! [V_x_2,V_n_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_a,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_in__set__replicate,axiom,
% 198.12/198.39 ! [V_y_2,V_n_2,V_x_2,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_y_2))))
% 198.12/198.39 <=> ( V_x_2 = V_y_2
% 198.12/198.39 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_append__replicate__commute,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__add,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_rev__replicate,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_Bex__set__replicate,axiom,
% 198.12/198.39 ! [V_P_2,V_a_2,V_n_2,T_a] :
% 198.12/198.39 ( ? [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_a_2))))
% 198.12/198.39 & hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.39 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 198.12/198.39 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_Ball__set__replicate,axiom,
% 198.12/198.39 ! [V_P_2,V_a_2,V_n_2,T_a] :
% 198.12/198.39 ( ! [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_a_2))))
% 198.12/198.39 => hBOOL(hAPP(V_P_2,B_x)) )
% 198.12/198.39 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 198.12/198.39 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_last__replicate,axiom,
% 198.12/198.39 ! [V_x,T_a,V_n] :
% 198.12/198.39 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.39 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_take__replicate,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_hd__replicate,axiom,
% 198.12/198.39 ! [V_x,T_a,V_n] :
% 198.12/198.39 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.39 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_drop__replicate,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__eq__replicate,axiom,
% 198.12/198.39 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_a] :
% 198.12/198.39 ( c_List_Oreplicate(T_a,V_m_2,V_x_2) = c_List_Oreplicate(T_a,V_n_2,V_y_2)
% 198.12/198.39 <=> ( V_m_2 = V_n_2
% 198.12/198.39 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.39 => V_x_2 = V_y_2 ) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_nth__replicate,axiom,
% 198.12/198.39 ! [V_x,T_a,V_n,V_i] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 198.12/198.39 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__app__Cons__same,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__Suc,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_map__replicate__const,axiom,
% 198.12/198.39 ! [V_lst_2,V_k_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_k_2)),V_lst_2) = c_List_Oreplicate(T_a,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_lst_2),V_k_2) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_length__replicate,axiom,
% 198.12/198.39 ! [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 ).
% 198.12/198.39
% 198.12/198.39 fof(fact_replicate__length__filter,axiom,
% 198.12/198.39 ! [V_xs_2,V_x_2,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_a,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_zip__replicate,axiom,
% 198.12/198.39 ! [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)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_map__replicate__trivial,axiom,
% 198.12/198.39 ! [V_i_2,V_x_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_COMBK(T_a,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_a,V_i_2,V_x_2) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_set__replicate,axiom,
% 198.12/198.39 ! [V_x_2,T_a,V_n_2] :
% 198.12/198.39 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.39 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_set__replicate__conv__if,axiom,
% 198.12/198.39 ! [V_x_2,T_a,V_n_2] :
% 198.12/198.39 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.39 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )
% 198.12/198.39 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 198.12/198.39 => hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_set__replicate__Suc,axiom,
% 198.12/198.39 ! [V_x_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_field__le__epsilon,axiom,
% 198.12/198.39 ! [V_y,V_x,T_a] :
% 198.12/198.39 ( class_Fields_Olinordered__field(T_a)
% 198.12/198.39 => ( ! [B_e] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 198.12/198.39 => 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))) )
% 198.12/198.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_refl__on__INTER,axiom,
% 198.12/198.39 ! [V_r_2,V_A_2,T_b,V_S_2,T_a] :
% 198.12/198.39 ( ! [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 198.12/198.39 => c_Relation_Orefl__on(T_b,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 198.12/198.39 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_in__set__member,axiom,
% 198.12/198.39 ! [V_xs_2,V_x_2,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.39 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_a),V_xs_2),V_x_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_List_Omember__def,axiom,
% 198.12/198.39 ! [V_x_2,V_xs_2,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_List_Omember(T_a),V_xs_2),V_x_2))
% 198.12/198.39 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_member__rec_I2_J,axiom,
% 198.12/198.39 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_member__set,axiom,
% 198.12/198.39 ! [T_a] : c_List_Omember(T_a) = c_List_Oset(T_a) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_member__rec_I1_J,axiom,
% 198.12/198.39 ! [V_y_2,V_xs_2,V_x_2,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_List_Omember(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_y_2))
% 198.12/198.39 <=> ( V_x_2 = V_y_2
% 198.12/198.39 | hBOOL(hAPP(hAPP(c_List_Omember(T_a),V_xs_2),V_y_2)) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_pair__box_Osize_I1_J,axiom,
% 198.12/198.39 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_b,T_a] : c_Nitpick_Opair__box_Opair__box__size(T_a,T_b,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_a,T_b,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))) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_list__ex1__iff__raw,axiom,
% 198.12/198.39 ! [V_xs_2,V_P_2,T_a] :
% 198.12/198.39 ( c_List_Olist__ex1(T_a,V_P_2,V_xs_2)
% 198.12/198.39 <=> ? [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.39 & hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.39 & ! [B_y] :
% 198.12/198.39 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2)))
% 198.12/198.39 & hBOOL(hAPP(V_P_2,B_y)) )
% 198.12/198.39 => B_y = B_x ) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_pair__box_Osize_I2_J,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_pair__box_Oinject,axiom,
% 198.12/198.39 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 198.12/198.39 ( c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a_H_2,V_b_H_2)
% 198.12/198.39 <=> ( V_a_2 = V_a_H_2
% 198.12/198.39 & V_b_2 = V_b_H_2 ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_pair__box_Osimps_I2_J,axiom,
% 198.12/198.39 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__case(T_b,T_c,T_a,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_pair__box_Orecs,axiom,
% 198.12/198.39 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__rec(T_b,T_c,T_a,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_THE__default__def,axiom,
% 198.12/198.39 ! [V_d_2,T_a,V_P_2] :
% 198.12/198.39 ( ( ? [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.39 & ! [B_y] :
% 198.12/198.39 ( hBOOL(hAPP(V_P_2,B_y))
% 198.12/198.39 => B_y = B_x ) )
% 198.12/198.39 => c_FunDef_OTHE__default(T_a,V_d_2,V_P_2) = c_HOL_OThe(T_a,V_P_2) )
% 198.12/198.39 & ( ~ ? [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(V_P_2,B_x))
% 198.12/198.39 & ! [B_y] :
% 198.12/198.39 ( hBOOL(hAPP(V_P_2,B_y))
% 198.12/198.39 => B_y = B_x ) )
% 198.12/198.39 => c_FunDef_OTHE__default(T_a,V_d_2,V_P_2) = V_d_2 ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_setsum__UNION__zero,axiom,
% 198.12/198.39 ! [V_f_2,V_S_2,T_a,T_b] :
% 198.12/198.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 198.12/198.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_S_2))
% 198.12/198.39 => ( ! [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_S_2))
% 198.12/198.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) )
% 198.12/198.39 => ( ! [B_T1] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_T1),V_S_2))
% 198.12/198.39 => ! [B_T2] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_T2),V_S_2))
% 198.12/198.39 => ( B_T1 != B_T2
% 198.12/198.39 => ! [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_T1))
% 198.12/198.39 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_T2))
% 198.12/198.39 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) )
% 198.12/198.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2)),V_S_2) ) ) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_INF2__I,axiom,
% 198.12/198.39 ! [T_c,T_b,V_c_2,V_b_2,V_B_2,V_A_2,T_a] :
% 198.12/198.39 ( ! [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.39 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 198.12/198.39 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_SUP2__E,axiom,
% 198.12/198.39 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 198.12/198.39 => ~ ! [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 198.12/198.39 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_finite__maxlen,axiom,
% 198.12/198.39 ! [V_M_2,T_a] :
% 198.12/198.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),V_M_2))
% 198.12/198.39 => ? [B_n] :
% 198.12/198.39 ! [B_x] :
% 198.12/198.39 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),V_M_2))
% 198.12/198.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),B_x)),B_n)) ) ) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_hb__map_Osimps_I1_J,axiom,
% 198.12/198.39 ! [V_f_2,T_a,T_b] : c_Lazy__Sequence_Ohb__map(T_b,T_a,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(T_b))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Option_Ooption(T_a)) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 198.12/198.39 ! [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) ).
% 198.12/198.39
% 198.12/198.39 fof(fact__04,axiom,
% 198.12/198.39 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 198.12/198.39
% 198.12/198.39 %----Arity declarations (237)
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 198.12/198.39 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Obounded__lattice(T_1)
% 198.12/198.39 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 198.12/198.39 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Obounded__lattice(T_1)
% 198.12/198.39 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Obounded__lattice(T_1)
% 198.12/198.39 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Olattice(T_1)
% 198.12/198.39 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Olattice(T_1)
% 198.12/198.39 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Odistrib__lattice(T_1)
% 198.12/198.39 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Oboolean__algebra(T_1)
% 198.12/198.39 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Orderings_Opreorder,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Orderings_Opreorder(T_1)
% 198.12/198.39 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Finite__Set_Ofinite(T_2)
% 198.12/198.39 & class_Finite__Set_Ofinite(T_1) )
% 198.12/198.39 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Lattices_Olattice,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Lattices_Olattice(T_1)
% 198.12/198.39 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Orderings_Oorder,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Orderings_Oorder(T_1)
% 198.12/198.39 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Orderings_Otop,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Orderings_Otop(T_1)
% 198.12/198.39 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Orderings_Oord,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Orderings_Oord(T_1)
% 198.12/198.39 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Orderings_Obot,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Orderings_Obot(T_1)
% 198.12/198.39 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Groups_Ouminus,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Groups_Ouminus(T_1)
% 198.12/198.39 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Groups_Ominus,axiom,
% 198.12/198.39 ! [T_2,T_1] :
% 198.12/198.39 ( class_Groups_Ominus(T_1)
% 198.12/198.39 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Enum_Oenum(T_2)
% 198.12/198.39 & class_HOL_Oequal(T_1) )
% 198.12/198.39 => class_HOL_Oequal(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_fun__Enum_Oenum,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Enum_Oenum(T_2)
% 198.12/198.39 & class_Enum_Oenum(T_1) )
% 198.12/198.39 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Com__Ocom__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_Com_Ocom) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 198.12/198.39 class_Nat_Osize(tc_Com_Ocom) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 198.12/198.39 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 198.12/198.39 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 198.12/198.39 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 198.12/198.39 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 198.12/198.39 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 198.12/198.39 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 198.12/198.39 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 198.12/198.39 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 198.12/198.39 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 198.12/198.39 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 198.12/198.39 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 198.12/198.39 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 198.12/198.39 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 198.12/198.39 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 198.12/198.39 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 198.12/198.39 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 198.12/198.39 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 198.12/198.39 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 198.12/198.39 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 198.12/198.39 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 198.12/198.39 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 198.12/198.39 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 198.12/198.39 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 198.12/198.39 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 198.12/198.39 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 198.12/198.39 class_Orderings_Opreorder(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 198.12/198.39 class_Orderings_Olinorder(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 198.12/198.39 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 198.12/198.39 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 198.12/198.39 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Smallcheck_Osmall,axiom,
% 198.12/198.39 class_Smallcheck_Osmall(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 198.12/198.39 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 198.12/198.39 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 198.12/198.39 class_Lattices_Olattice(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 198.12/198.39 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 198.12/198.39 class_Divides_Oring__div(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 198.12/198.39 class_Rings_Omult__zero(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 198.12/198.39 class_Orderings_Oorder(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 198.12/198.39 class_Int_Oring__char__0(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 198.12/198.39 class_Int_Onumber__ring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 198.12/198.39 class_Rings_Osemiring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 198.12/198.39 class_Orderings_Oord(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 198.12/198.39 class_Groups_Ouminus(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 198.12/198.39 class_Groups_Osgn__if(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 198.12/198.39 class_Groups_Oabs__if(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 198.12/198.39 class_Rings_Oring__1(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 198.12/198.39 class_Groups_Ominus(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Power_Opower,axiom,
% 198.12/198.39 class_Power_Opower(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 198.12/198.39 class_Groups_Ozero(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oring,axiom,
% 198.12/198.39 class_Rings_Oring(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 198.12/198.39 class_Rings_Oidom(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Int_Onumber,axiom,
% 198.12/198.39 class_Int_Onumber(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__Groups_Oone,axiom,
% 198.12/198.39 class_Groups_Oone(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Int__Oint__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_Int_Oint) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 198.12/198.39 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 198.12/198.39 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 198.12/198.39 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 198.12/198.39 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 198.12/198.39 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 198.12/198.39 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 198.12/198.39 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 198.12/198.39 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 198.12/198.39 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 198.12/198.39 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 198.12/198.39 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 198.12/198.39 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 198.12/198.39 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 198.12/198.39 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 198.12/198.39 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 198.12/198.39 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 198.12/198.39 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 198.12/198.39 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 198.12/198.39 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 198.12/198.39 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 198.12/198.39 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 198.12/198.39 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 198.12/198.39 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 198.12/198.39 class_Lattices_Olattice(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 198.12/198.39 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 198.12/198.39 class_Orderings_Oorder(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 198.12/198.39 class_Rings_Osemiring(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 198.12/198.39 class_Orderings_Oord(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 198.12/198.39 class_Orderings_Obot(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 198.12/198.39 class_Groups_Ominus(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Power_Opower,axiom,
% 198.12/198.39 class_Power_Opower(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 198.12/198.39 class_Groups_Ozero(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 198.12/198.39 class_Int_Onumber(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 198.12/198.39 class_Groups_Oone(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 198.12/198.39 class_Nat_Osize(tc_Nat_Onat) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 198.12/198.39 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 198.12/198.39 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 198.12/198.39 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 198.12/198.39 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 198.12/198.39 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 198.12/198.39 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 198.12/198.39 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 198.12/198.39 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 198.12/198.39 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 198.12/198.39 class_Lattices_Olattice(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 198.12/198.39 class_Orderings_Oorder(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 198.12/198.39 class_Orderings_Otop(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 198.12/198.39 class_Orderings_Oord(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 198.12/198.39 class_Orderings_Obot(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 198.12/198.39 class_Groups_Ouminus(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 198.12/198.39 class_Groups_Ominus(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 198.12/198.39 class_Enum_Oenum(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 198.12/198.39 class_Nat_Osize(tc_HOL_Obool) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Com__Ostate__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_Com_Ostate) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 198.12/198.39 class_Nat_Osize(tc_Com_Ostate) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 198.12/198.39 ! [T_1] :
% 198.12/198.39 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 198.12/198.39 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_List__Olist__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1] : class_HOL_Oequal(tc_List_Olist(T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_List__Olist__Nat_Osize,axiom,
% 198.12/198.39 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Finite__Set_Ofinite(T_2)
% 198.12/198.39 & class_Finite__Set_Ofinite(T_1) )
% 198.12/198.39 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_sum__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1,T_2] : class_HOL_Oequal(tc_sum(T_2,T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_sum__Enum_Oenum,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Enum_Oenum(T_2)
% 198.12/198.39 & class_Enum_Oenum(T_1) )
% 198.12/198.39 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_sum__Nat_Osize,axiom,
% 198.12/198.39 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 198.12/198.39 ! [T_1] :
% 198.12/198.39 ( class_Finite__Set_Ofinite(T_1)
% 198.12/198.39 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Option__Ooption__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1] : class_HOL_Oequal(tc_Option_Ooption(T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 198.12/198.39 ! [T_1] :
% 198.12/198.39 ( class_Enum_Oenum(T_1)
% 198.12/198.39 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 198.12/198.39 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nitpick__Opair____box__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1,T_2] : class_HOL_Oequal(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 198.12/198.39 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 198.12/198.39 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 198.12/198.39 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Finite__Set_Ofinite(T_2)
% 198.12/198.39 & class_Finite__Set_Ofinite(T_1) )
% 198.12/198.39 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_prod__Smallcheck_Osmall,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Smallcheck_Osmall(T_2)
% 198.12/198.39 & class_Smallcheck_Osmall(T_1) )
% 198.12/198.39 => class_Smallcheck_Osmall(tc_prod(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_prod__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1,T_2] : class_HOL_Oequal(tc_prod(T_2,T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_prod__Enum_Oenum,axiom,
% 198.12/198.39 ! [T_1,T_2] :
% 198.12/198.39 ( ( class_Enum_Oenum(T_2)
% 198.12/198.39 & class_Enum_Oenum(T_1) )
% 198.12/198.39 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_prod__Nat_Osize,axiom,
% 198.12/198.39 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 198.12/198.39 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 198.12/198.39 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Product____Type__Ounit__Smallcheck_Osmall,axiom,
% 198.12/198.39 class_Smallcheck_Osmall(tc_Product__Type_Ounit) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Product____Type__Ounit__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_Product__Type_Ounit) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 198.12/198.39 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 198.12/198.39 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Evaluation__Oterm__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_Code__Evaluation_Oterm) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 198.12/198.39 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Hoare____Mirabelle__Otriple__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 198.12/198.39 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 198.12/198.39 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 198.12/198.39 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 198.12/198.39 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 198.12/198.39 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 198.12/198.39 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 198.12/198.39 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 198.12/198.39 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 198.12/198.39 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 198.12/198.39 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 198.12/198.39 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 198.12/198.39 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 198.12/198.39 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 198.12/198.39 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 198.12/198.39 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 198.12/198.39 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 198.12/198.39 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 198.12/198.39 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 198.12/198.39 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 198.12/198.39 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 198.12/198.39 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 198.12/198.39 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 198.12/198.39 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 198.12/198.39 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 198.12/198.39 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 198.12/198.39 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 198.12/198.39 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 198.12/198.39 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 198.12/198.39 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 198.12/198.39 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 198.12/198.39 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__HOL_Oequal,axiom,
% 198.12/198.39 class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 198.12/198.39 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal,axiom,
% 198.12/198.39 ! [T_1] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 198.12/198.39
% 198.12/198.39 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 198.12/198.39 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 198.12/198.39
% 198.12/198.39 %----Helper facts (20)
% 198.12/198.39 fof(help_c__COMBI__1,axiom,
% 198.12/198.39 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__COMBK__1,axiom,
% 198.12/198.39 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__COMBB__1,axiom,
% 198.12/198.39 ! [V_R_2,V_Q_2,V_P_2,T_c,T_a,T_b] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__COMBC__1,axiom,
% 198.12/198.39 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__COMBS__1,axiom,
% 198.12/198.39 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fequal__1,axiom,
% 198.12/198.39 ! [V_y_2,V_x_2] :
% 198.12/198.39 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 198.12/198.39 | V_x_2 = V_y_2 ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fequal__2,axiom,
% 198.12/198.39 ! [V_y_2,V_x_2] :
% 198.12/198.39 ( V_x_2 != V_y_2
% 198.12/198.39 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fFalse__1,axiom,
% 198.12/198.39 ~ hBOOL(c_fFalse) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fTrue__1,axiom,
% 198.12/198.39 hBOOL(c_fTrue) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fNot__1,axiom,
% 198.12/198.39 ! [V_P_2] :
% 198.12/198.39 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 198.12/198.39 | ~ hBOOL(V_P_2) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fNot__2,axiom,
% 198.12/198.39 ! [V_P_2] :
% 198.12/198.39 ( ~ ~ hBOOL(V_P_2)
% 198.12/198.39 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fconj__1,axiom,
% 198.12/198.39 ! [V_Q_2,V_P_2] :
% 198.12/198.39 ( ~ hBOOL(V_P_2)
% 198.12/198.39 | ~ hBOOL(V_Q_2)
% 198.12/198.39 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fconj__2,axiom,
% 198.12/198.39 ! [V_Q_2,V_P_2] :
% 198.12/198.39 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 198.12/198.39 | hBOOL(V_P_2) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fconj__3,axiom,
% 198.12/198.39 ! [V_Q_2,V_P_2] :
% 198.12/198.39 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 198.12/198.39 | hBOOL(V_Q_2) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fdisj__1,axiom,
% 198.12/198.39 ! [V_Q_2,V_P_2] :
% 198.12/198.39 ( ~ hBOOL(V_P_2)
% 198.12/198.39 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fdisj__2,axiom,
% 198.12/198.39 ! [V_P_2,V_Q_2] :
% 198.12/198.39 ( ~ hBOOL(V_Q_2)
% 198.12/198.39 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fdisj__3,axiom,
% 198.12/198.39 ! [V_Q_2,V_P_2] :
% 198.12/198.39 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 198.12/198.39 | hBOOL(V_P_2)
% 198.12/198.39 | hBOOL(V_Q_2) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fimplies__1,axiom,
% 198.12/198.39 ! [V_Q_2,V_P_2] :
% 198.12/198.39 ( hBOOL(V_P_2)
% 198.12/198.39 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fimplies__2,axiom,
% 198.12/198.39 ! [V_P_2,V_Q_2] :
% 198.12/198.39 ( ~ hBOOL(V_Q_2)
% 198.12/198.39 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 198.12/198.39
% 198.12/198.39 fof(help_c__fimplies__3,axiom,
% 198.12/198.39 ! [V_Q_2,V_P_2] :
% 198.12/198.39 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 198.12/198.39 | ~ hBOOL(V_P_2)
% 198.12/198.39 | hBOOL(V_Q_2) ) ).
% 198.12/198.39
% 198.12/198.39 %----Conjectures (8)
% 198.12/198.39 fof(conj_0,hypothesis,
% 198.12/198.39 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 198.12/198.39
% 198.12/198.39 fof(conj_1,hypothesis,
% 198.12/198.39 c_Com_OWT__bodies ).
% 198.12/198.39
% 198.12/198.39 fof(conj_2,hypothesis,
% 198.12/198.39 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_F)) ).
% 198.12/198.39
% 198.12/198.39 fof(conj_3,hypothesis,
% 198.12/198.39 ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),v_F)) ).
% 198.12/198.39
% 198.12/198.39 fof(conj_4,hypothesis,
% 198.12/198.39 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_F),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))) ).
% 198.12/198.39
% 198.12/198.39 fof(conj_5,hypothesis,
% 198.12/198.39 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ).
% 198.12/198.39
% 198.12/198.39 fof(conj_6,hypothesis,
% 198.12/198.39 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),v_F) ).
% 198.12/198.39
% 198.12/198.39 fof(conj_7,conjecture,
% 198.12/198.39 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ).
% 198.12/198.39
% 198.12/198.39 %------------------------------------------------------------------------------
% 198.12/198.39 %-------------------------------------------
% 198.12/198.39 % Proof found
% 198.12/198.39 % SZS status Theorem for theBenchmark
% 198.12/198.39 % SZS output start Proof
% 198.12/198.39 %ClaNum:10227(EqnAxiom:2905)
% 198.12/198.39 %VarNum:70231(SingletonVarNum:20449)
% 198.12/198.39 %MaxLitNum:8
% 198.12/198.39 %MaxfuncDepth:13
% 198.12/198.39 %SharedTerms:1091
% 198.12/198.39 %goalClause: 4627
% 198.12/198.39 %singleGoalClaCount:1
% 198.12/198.39 [2906]P1(a5000)
% 198.12/198.39 [2907]P2(a5000)
% 198.12/198.39 [2911]P24(a196)
% 198.12/198.39 [2912]P25(a878)
% 198.12/198.39 [2913]P25(a883)
% 198.12/198.39 [2914]P62(a878)
% 198.12/198.39 [2915]P62(a884)
% 198.12/198.39 [2916]P62(a1)
% 198.12/198.39 [2917]P62(a102)
% 198.12/198.39 [2918]P63(a878)
% 198.12/198.39 [2919]P63(a884)
% 198.12/198.39 [2920]P105(a884)
% 198.12/198.39 [2921]P105(a1)
% 198.12/198.39 [2922]P105(a102)
% 198.12/198.39 [2923]P106(a878)
% 198.12/198.39 [2924]P106(a884)
% 198.12/198.39 [2925]P106(a1)
% 198.12/198.39 [2926]P106(a102)
% 198.12/198.39 [2927]P107(a878)
% 198.12/198.39 [2928]P107(a884)
% 198.12/198.39 [2929]P107(a1)
% 198.12/198.39 [2930]P107(a102)
% 198.12/198.39 [2931]P64(a878)
% 198.12/198.39 [2932]P64(a884)
% 198.12/198.39 [2933]P64(a1)
% 198.12/198.39 [2934]P65(a878)
% 198.12/198.39 [2935]P100(a878)
% 198.12/198.39 [2936]P100(a884)
% 198.12/198.39 [2937]P100(a1)
% 198.12/198.39 [2938]P66(a878)
% 198.12/198.39 [2939]P66(a884)
% 198.12/198.39 [2940]P66(a1)
% 198.12/198.39 [2941]P66(a102)
% 198.12/198.39 [2942]P78(a1)
% 198.12/198.39 [2943]P67(a1)
% 198.12/198.39 [2944]P108(a1)
% 198.12/198.39 [2945]P68(a884)
% 198.12/198.39 [2946]P68(a1)
% 198.12/198.39 [2947]P68(a102)
% 198.12/198.39 [2948]P135(a884)
% 198.12/198.39 [2949]P135(a1)
% 198.12/198.39 [2950]P135(a102)
% 198.12/198.39 [2951]P101(a878)
% 198.12/198.39 [2952]P101(a884)
% 198.12/198.39 [2953]P101(a1)
% 198.12/198.39 [2954]P70(a884)
% 198.12/198.39 [2955]P70(a1)
% 198.12/198.39 [2956]P70(a102)
% 198.12/198.39 [2957]P98(a878)
% 198.12/198.39 [2958]P98(a884)
% 198.12/198.39 [2959]P98(a1)
% 198.12/198.39 [2960]P74(a884)
% 198.12/198.39 [2961]P74(a1)
% 198.12/198.39 [2962]P74(a102)
% 198.12/198.39 [2963]P82(a884)
% 198.12/198.39 [2964]P82(a1)
% 198.12/198.39 [2965]P82(a102)
% 198.12/198.39 [2966]P79(a884)
% 198.12/198.39 [2967]P79(a1)
% 198.12/198.39 [2968]P79(a102)
% 198.12/198.39 [2969]P69(a884)
% 198.12/198.39 [2970]P69(a1)
% 198.12/198.39 [2971]P69(a102)
% 198.12/198.39 [2972]P71(a884)
% 198.12/198.39 [2973]P71(a1)
% 198.12/198.39 [2974]P71(a102)
% 198.12/198.39 [2975]P72(a884)
% 198.12/198.39 [2976]P72(a1)
% 198.12/198.39 [2977]P72(a102)
% 198.12/198.39 [2978]P83(a884)
% 198.12/198.39 [2979]P83(a1)
% 198.12/198.39 [2980]P83(a102)
% 198.12/198.39 [2981]P84(a884)
% 198.12/198.39 [2982]P84(a1)
% 198.12/198.39 [2983]P84(a102)
% 198.12/198.39 [2984]P75(a1)
% 198.12/198.39 [2985]P80(a884)
% 198.12/198.39 [2986]P80(a1)
% 198.12/198.39 [2987]P80(a102)
% 198.12/198.39 [2988]P109(a1)
% 198.12/198.39 [2989]P110(a884)
% 198.12/198.39 [2990]P110(a1)
% 198.12/198.39 [2991]P110(a102)
% 198.12/198.39 [2992]P116(a1)
% 198.12/198.39 [2993]P140(a884)
% 198.12/198.39 [2994]P140(a1)
% 198.12/198.39 [2995]P111(a884)
% 198.12/198.39 [2996]P111(a1)
% 198.12/198.39 [2997]P111(a102)
% 198.12/198.39 [2998]P136(a884)
% 198.12/198.39 [2999]P136(a1)
% 198.12/198.39 [3000]P136(a102)
% 198.12/198.39 [3001]P122(a884)
% 198.12/198.39 [3002]P122(a1)
% 198.12/198.39 [3003]P122(a102)
% 198.12/198.39 [3004]P86(a878)
% 198.12/198.39 [3005]P87(a878)
% 198.12/198.39 [3006]P87(a1)
% 198.12/198.39 [3007]P117(a1)
% 198.12/198.39 [3008]P112(a1)
% 198.12/198.39 [3009]P137(a1)
% 198.12/198.39 [3010]P138(a1)
% 198.12/198.39 [3011]P113(a884)
% 198.12/198.39 [3012]P113(a1)
% 198.12/198.39 [3013]P113(a102)
% 198.12/198.39 [3014]P125(a1)
% 198.12/198.39 [3015]P128(a884)
% 198.12/198.39 [3016]P128(a1)
% 198.12/198.39 [3017]P128(a102)
% 198.12/198.39 [3018]P130(a884)
% 198.12/198.39 [3019]P130(a1)
% 198.12/198.39 [3020]P130(a102)
% 198.12/198.39 [3021]P141(a884)
% 198.12/198.39 [3022]P141(a1)
% 198.12/198.39 [3023]P141(a102)
% 198.12/198.39 [3024]P114(a878)
% 198.12/198.39 [3025]P91(a884)
% 198.12/198.39 [3026]P91(a1)
% 198.12/198.39 [3027]P91(a102)
% 198.12/198.39 [3028]P81(a884)
% 198.12/198.39 [3029]P81(a1)
% 198.12/198.39 [3030]P81(a102)
% 198.12/198.39 [3031]P76(a1)
% 198.12/198.39 [3032]P139(a1)
% 198.12/198.39 [3033]P99(a878)
% 198.12/198.39 [3034]P88(a884)
% 198.12/198.39 [3035]P88(a1)
% 198.12/198.39 [3036]P88(a102)
% 198.12/198.39 [3037]P123(a1)
% 198.12/198.39 [3038]P124(a1)
% 198.12/198.39 [3039]P131(a884)
% 198.12/198.39 [3040]P131(a1)
% 198.12/198.39 [3041]P131(a102)
% 198.12/198.39 [3042]P133(a884)
% 198.12/198.39 [3043]P133(a1)
% 198.12/198.39 [3044]P133(a102)
% 198.12/198.39 [3045]P132(a884)
% 198.12/198.39 [3046]P132(a1)
% 198.12/198.39 [3047]P132(a102)
% 198.12/198.39 [3048]P129(a884)
% 198.12/198.39 [3049]P129(a1)
% 198.12/198.39 [3050]P129(a102)
% 198.12/198.39 [3051]P120(a884)
% 198.12/198.39 [3052]P120(a1)
% 198.12/198.39 [3053]P120(a102)
% 198.12/198.39 [3054]P126(a884)
% 198.12/198.39 [3055]P126(a1)
% 198.12/198.39 [3056]P126(a102)
% 198.12/198.39 [3057]P127(a1)
% 198.12/198.39 [3058]P92(a1)
% 198.12/198.39 [3059]P26(a884)
% 198.12/198.39 [3060]P26(a1)
% 198.12/198.39 [3061]P26(a102)
% 198.12/198.39 [3062]P27(a1)
% 198.12/198.39 [3063]P89(a1)
% 198.12/198.39 [3064]P102(a884)
% 198.12/198.39 [3065]P102(a1)
% 198.12/198.39 [3066]P102(a102)
% 198.12/198.39 [3067]P142(a884)
% 198.12/198.39 [3068]P142(a1)
% 198.12/198.39 [3069]P142(a102)
% 198.12/198.39 [3070]P85(a1)
% 198.12/198.39 [3071]P134(a1)
% 198.12/198.39 [3072]P73(a1)
% 198.12/198.39 [3073]P77(a884)
% 198.12/198.39 [3074]P77(a1)
% 198.12/198.39 [3075]P77(a102)
% 198.12/198.39 [3076]P28(a878)
% 198.12/198.39 [3077]P93(a1)
% 198.12/198.39 [3078]P94(a884)
% 198.12/198.39 [3079]P94(a1)
% 198.12/198.39 [3080]P94(a102)
% 198.12/198.39 [3081]P115(a884)
% 198.12/198.39 [3082]P143(a883)
% 198.12/198.39 [3083]P143(a1)
% 198.12/198.39 [3084]P90(a884)
% 198.12/198.39 [3085]P90(a1)
% 198.12/198.39 [3086]P90(a102)
% 198.12/198.39 [3087]P57(a878)
% 198.12/198.39 [3088]P57(a883)
% 198.12/198.39 [3089]P95(a878)
% 198.12/198.39 [3090]P95(a879)
% 198.12/198.39 [3091]P95(a880)
% 198.12/198.39 [3092]P95(a884)
% 198.12/198.39 [3093]P95(a883)
% 198.12/198.39 [3094]P95(a1)
% 198.12/198.39 [3095]P95(a102)
% 198.12/198.39 [3096]P95(a333)
% 198.12/198.39 [3097]P104(a878)
% 198.12/198.39 [3098]P104(a879)
% 198.12/198.39 [3099]P104(a880)
% 198.12/198.39 [3100]P104(a884)
% 198.12/198.39 [3101]P104(a883)
% 198.12/198.39 [3102]P104(a102)
% 198.12/198.39 [3103]P104(a333)
% 198.12/198.39 [3104]P103(a883)
% 198.12/198.39 [3105]P103(a1)
% 198.12/198.39 [3106]P97(a878)
% 198.12/198.39 [3126]P39(a884,a256)
% 198.12/198.39 [3127]P39(a884,a327)
% 198.12/198.39 [4516]~E(a100,a84)
% 198.12/198.39 [4517]~P24(a255)
% 198.12/198.39 [2908]E(f2(a1),a84)
% 198.12/198.39 [2909]E(f103(a102),a3)
% 198.12/198.39 [2910]E(f22(a102),a23)
% 198.12/198.39 [3107]E(f197(a884),f2(a884))
% 198.12/198.39 [3108]E(f31(a24),f2(a884))
% 198.12/198.39 [3109]E(f104(a884),f249(a884))
% 198.12/198.39 [3110]E(f113(a884),f250(a884))
% 198.12/198.39 [3111]E(f105(a1),f34(a1))
% 198.12/198.39 [3112]E(f85(a255),f2(a884))
% 198.12/198.39 [3113]E(f85(a196),f2(a884))
% 198.12/198.39 [3114]P29(f79(a1))
% 198.12/198.39 [3115]P29(f2(a1))
% 198.12/198.39 [3164]P24(f337(a25,a24))
% 198.12/198.39 [3180]P39(f892(a884,a884),a35)
% 198.12/198.39 [3538]E(f330(a884,a884,a256,a256),a35)
% 198.12/198.39 [4518]~E(f79(a1),f2(a1))
% 198.12/198.39 [3116]E(f114(f2(a884)),f2(a884))
% 198.12/198.39 [3117]E(f4(f2(a102)),f2(a884))
% 198.12/198.39 [3129]E(f337(f80(a1),a84),a84)
% 198.12/198.39 [3132]E(f337(a115,f2(a884)),f79(a884))
% 198.12/198.39 [3133]E(f337(a107,f79(a1)),f79(a884))
% 198.12/198.39 [3134]E(f337(a3,f79(a884)),f79(a102))
% 198.12/198.39 [3136]E(f337(a3,f2(a884)),f2(a102))
% 198.12/198.39 [3138]E(f337(f106(a1),a84),f2(a1))
% 198.12/198.39 [3139]E(f337(f106(a102),a84),f2(a102))
% 198.12/198.39 [3140]E(f337(a107,f2(a1)),f2(a884))
% 198.12/198.39 [3141]E(f337(f198(a878),a255),f2(a884))
% 198.12/198.39 [3142]E(f337(f198(a878),a196),f2(a884))
% 198.12/198.39 [3143]E(f337(f198(a880),a24),f2(a884))
% 198.12/198.39 [3144]E(f337(f106(a884),a84),f2(a884))
% 198.12/198.39 [3148]E(f337(f80(a1),f79(a1)),a100)
% 198.12/198.39 [3155]E(f337(f80(a1),f2(a1)),f2(a1))
% 198.12/198.39 [3157]E(f337(f198(a102),f2(a102)),f2(a884))
% 198.12/198.39 [3158]E(f337(f103(a1),f79(a884)),f79(a1))
% 198.12/198.39 [3159]E(f337(f103(a1),f2(a884)),f2(a1))
% 198.12/198.39 [3165]E(f337(f209(a880),a889),f337(a26,a890))
% 198.12/198.39 [3176]E(f337(a107,f79(a1)),f337(a115,f2(a884)))
% 198.12/198.39 [3177]E(f337(f181(a881,a880),a27),a26)
% 198.12/198.39 [3178]E(f328(f892(a884,a884),a35),a36)
% 198.12/198.39 [3179]E(f329(f892(a884,a884),a35),a37)
% 198.12/198.39 [3202]E(f337(f258(a884),f2(a884)),f197(f893(a884,a878)))
% 198.12/198.39 [3203]E(f337(f259(a884),f2(a884)),f260(f893(a884,a878)))
% 198.12/198.39 [3211]P40(f197(f893(a1,a878)))
% 198.12/198.39 [3248]E(f337(f337(f22(a102),f2(a102)),f79(a102)),f2(a102))
% 198.12/198.39 [3328]P24(f337(f337(f252(a1),a100),f2(a1)))
% 198.12/198.39 [3353]P24(f337(f337(f251(a1),f2(a1)),f79(a1)))
% 198.12/198.39 [3355]P24(f337(f337(f252(a1),f2(a1)),f79(a1)))
% 198.12/198.39 [3529]P24(f337(f62(a881),f187(a881,a880,a26)))
% 198.12/198.39 [3568]E(f337(f337(f294(a884,a884,a884),a327),f313(a884,a327)),a256)
% 198.12/198.39 [3609]P42(a1,a884,a107,f337(f251(a1),f2(a1)))
% 198.12/198.39 [3613]E(f337(f337(f42(a884,f893(a884,a878)),f260(f893(a884,a878))),f258(a884)),f260(f893(a884,a878)))
% 198.12/198.39 [3614]E(f337(f337(f42(a884,f893(a884,a878)),f260(f893(a884,a878))),f259(a884)),f260(f893(a884,a878)))
% 198.12/198.39 [3615]E(f337(f337(f42(a884,f893(a884,a878)),f260(f893(a884,a878))),f306(a884)),f260(f893(a884,a878)))
% 198.12/198.39 [3616]E(f337(f337(f43(a884,f893(a884,a878)),f260(f893(a884,a878))),f309(a884)),f197(f893(a884,a878)))
% 198.12/198.39 [3632]P21(a884,a1,f103(a1),f260(f893(a884,a878)))
% 198.12/198.39 [3645]P42(a884,a1,f103(a1),f337(f16(a878,a884),a196))
% 198.12/198.39 [3781]E(f337(f74(a884,a102,a1,a3),a107),f106(a102))
% 198.12/198.39 [4011]P53(a102,a884,a19,a3,f260(f893(a884,a878)))
% 198.12/198.39 [4020]P53(a1,f893(f892(a884,a884),a878),a109,a90,a101)
% 198.12/198.39 [4196]P20(a879,f337(f316(a881,f882(a879),f337(f337(f8(a880,f882(a879),a881),a94),a28)),f187(a881,a880,a26)),a894)
% 198.12/198.39 [4290]E(f277(a1,a1,a1,a1,f34(a1),f80(a1)),a51)
% 198.12/198.39 [4541]~E(f337(f106(a1),a100),f337(f106(a1),a84))
% 198.12/198.39 [4542]~P24(f337(a202,f79(a1)))
% 198.12/198.39 [4543]~P24(f337(a202,f2(a1)))
% 198.12/198.39 [4586]~P24(f337(f337(f252(a1),a84),f2(a1)))
% 198.12/198.39 [3194]E(f337(f337(f22(a1),a100),a100),a84)
% 198.12/198.39 [3209]E(f337(f103(a1),f337(a115,f2(a884))),f79(a1))
% 198.12/198.39 [3220]P24(f337(f62(f882(a879)),a894))
% 198.12/198.39 [3279]E(f337(f38(a883),f260(f893(a883,a878))),f79(a884))
% 198.12/198.39 [3300]P24(f337(a202,f337(f106(a1),a100)))
% 198.12/198.39 [3302]P24(f337(f337(f251(a1),a100),a84))
% 198.12/198.39 [3304]P24(f337(f337(f252(a1),a100),a84))
% 198.12/198.39 [3364]E(f337(f337(f315(a884),f2(a884)),f197(f893(a884,a878))),f337(f306(a884),f2(a884)))
% 198.12/198.39 [3420]P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),a84)))
% 198.12/198.39 [3432]E(f337(f316(a884,a884,a115),f260(f893(a884,a878))),f337(f309(a884),f2(a884)))
% 198.12/198.39 [3472]P6(f892(a884,a884),f260(f893(f892(a884,a884),a878)),a111)
% 198.12/198.39 [3789]E(f337(f74(a884,a1,a102,f103(a1)),a19),a20)
% 198.12/198.39 [3852]P39(a884,f337(f257(f892(a884,a884)),f337(f276(a884,a884,a878),f252(a884))))
% 198.12/198.39 [4386]P24(f337(f337(f251(f893(f882(a879),a878)),a894),f337(f316(a881,f882(a879),f337(f337(f8(a880,f882(a879),a881),a94),f337(f337(f8(f887(a880),a880,a881),f248(a880)),a26))),f187(a881,a880,a26))))
% 198.12/198.39 [4575]~P24(f337(a202,f337(f106(a1),a84)))
% 198.12/198.39 [4576]~P24(f337(f337(f251(a1),a84),a100))
% 198.12/198.39 [4577]~P24(f337(f337(f252(a1),a84),a84))
% 198.12/198.39 [4578]~P24(f337(f337(f252(a1),a84),a100))
% 198.12/198.39 [4579]~P24(f337(f337(f252(a1),a100),a100))
% 198.12/198.39 [4580]~P24(f337(f337(f92(a1),a84),a100))
% 198.12/198.39 [4581]~P24(f337(f337(f92(a1),a100),a84))
% 198.12/198.39 [4592]~P24(f337(f62(a884),f260(f893(a884,a878))))
% 198.12/198.39 [4593]~P24(f337(f62(a1),f260(f893(a1,a878))))
% 198.12/198.39 [4597]~P24(f337(f337(f339(f882(a879)),f337(a94,a889)),a894))
% 198.12/198.39 [4462]E(f337(f276(a1,a1,a878),f337(f337(f8(f893(a1,a878),f893(a1,a878),a1),f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f252(a1),f2(a1))))),f337(f337(f7(a1,a1,f893(a1,a878)),f337(f337(f8(f893(a1,f893(a1,a878)),f893(a1,f893(a1,a878)),a1),f7(a1,a1,a878)),f337(f337(f8(f893(a1,a1),f893(a1,f893(a1,a878)),a1),f337(f8(a1,f893(a1,a878),a1),a334)),a230))),f79(a1)))),a226)
% 198.12/198.39 [4627]~P20(a879,f337(f316(a881,f882(a879),f337(f337(f8(a880,f882(a879),a881),a94),a28)),f187(a881,a880,a26)),f337(f337(f315(f882(a879)),f337(a94,a889)),f197(f893(f882(a879),a878))))
% 198.12/198.39 [3510]E(f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100),f337(f80(a1),a100))
% 198.12/198.39 [3551]E(f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100),f337(f337(f22(a1),a84),a100))
% 198.12/198.39 [3714]E(f337(f337(f61(f892(a884,a884)),f260(f893(f892(a884,a884),a878))),a111),a101)
% 198.12/198.39 [3743]E(f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f79(a1))
% 198.12/198.39 [3744]E(f337(f106(a102),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f79(a102))
% 198.12/198.39 [3745]E(f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f79(a884))
% 198.12/198.39 [3749]E(f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(a115,f2(a884)))
% 198.12/198.39 [4147]E(f337(f337(f113(f893(f892(f892(a884,a884),f892(a884,a884)),a878)),a35),f313(f892(a884,a884),f197(f893(f892(f892(a884,a884),f892(a884,a884)),a878)))),a71)
% 198.12/198.39 [4220]E(f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),f79(a884)),f2(a884))),f197(f893(f892(a884,a884),a878))))),f79(a1))
% 198.12/198.39 [4221]E(f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),f2(a884)),f2(a884))),f197(f893(f892(a884,a884),a878))))),f2(a1))
% 198.12/198.39 [4236]E(f337(f257(f892(a884,a884)),f337(f276(a884,a884,a878),f337(f337(f8(a884,f893(a884,a878),a884),f337(f7(a884,a884,a878),a334)),a115))),a327)
% 198.12/198.39 [4206]E(f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),f337(a115,f337(a115,f2(a884))))
% 198.12/198.39 [4209]E(f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),f337(f337(f81(a884),f79(a884)),f79(a884)))
% 198.12/198.39 [4210]E(f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),f337(f38(a878),f260(f893(a878,a878))))
% 198.12/198.39 [4276]P29(f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))
% 198.12/198.39 [4348]P22(f893(f892(a884,a884),a878),f337(f337(f272(f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878),f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878)),a36),a72))
% 198.12/198.39 [4349]P22(f893(f892(a884,a884),a878),f337(f337(f272(f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878),f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878)),a37),a70))
% 198.12/198.39 [4390]E(f337(f337(f113(f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878)),f329(f892(a884,a884),a71)),f337(f337(f315(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),f197(f893(f892(a884,a884),a878))),f197(f893(f892(a884,a884),a878)))),f197(f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878)))),a70)
% 198.12/198.39 [4391]E(f337(f337(f113(f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878)),f328(f892(a884,a884),a71)),f337(f337(f315(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),f197(f893(f892(a884,a884),a878))),f197(f893(f892(a884,a884),a878)))),f197(f893(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a878)))),a72)
% 198.12/198.39 [4278]E(f337(a107,f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(a115,f337(a115,f2(a884))))
% 198.12/198.39 [4325]E(f337(f103(a1),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))
% 198.12/198.39 [4360]P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.39 [4361]E(f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100)),f337(a115,f337(a115,f337(a115,f2(a884)))))
% 198.12/198.39 [4404]P29(f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100)))
% 198.12/198.39 [4432]E(f337(f103(a1),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100)))
% 198.12/198.39 [4447]P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))))
% 198.12/198.39 [3128]P5(x31281,a334)
% 198.12/198.39 [3539]P21(a884,a884,a115,x35391)
% 198.12/198.39 [3118]P95(f882(x31181))
% 198.12/198.39 [3119]P95(f887(x31191))
% 198.12/198.39 [3120]P95(f885(x31201))
% 198.12/198.39 [3121]P95(f886(x31211))
% 198.12/198.39 [3122]P104(f882(x31221))
% 198.12/198.39 [3123]P104(f887(x31231))
% 198.12/198.39 [3124]P104(f885(x31241))
% 198.12/198.39 [3125]P104(f886(x31251))
% 198.12/198.39 [3145]P39(a1,f108(x31451))
% 198.12/198.39 [3146]P39(a1,f110(x31461))
% 198.12/198.39 [3199]P39(f893(x31991,a878),f312(x31991))
% 198.12/198.39 [3224]E(f261(x32241,x32241,a334),a334)
% 198.12/198.39 [3239]E(f45(a1,x32391,x32391),f2(a1))
% 198.12/198.39 [3297]P11(x32971,f893(x32971,a878),f315(x32971))
% 198.12/198.39 [4520]~E(f337(a28,x45201),a24)
% 198.12/198.39 [4522]~E(f337(a115,x45221),x45221)
% 198.12/198.39 [4532]~E(f337(a115,x45321),f2(a884))
% 198.12/198.39 [3130]E(f337(f198(a884),x31301),x31301)
% 198.12/198.39 [3131]E(f337(f106(a1),x31311),x31311)
% 198.12/198.39 [3147]E(f337(a90,f338(x31471)),x31471)
% 198.12/198.39 [3160]E(f117(x31601,f116(x31601)),f116(x31601))
% 198.12/198.39 [3161]E(f154(x31611,f116(x31611)),f116(x31611))
% 198.12/198.39 [3166]E(f31(f337(a28,x31661)),f2(a884))
% 198.12/198.39 [3173]E(f337(f170(x31731),f116(x31731)),f116(x31731))
% 198.12/198.39 [3174]E(f337(f174(x31741),f116(x31741)),f116(x31741))
% 198.12/198.39 [3175]E(f337(f171(x31751),f116(x31751)),f116(x31751))
% 198.12/198.39 [3181]E(f337(f106(a1),x31811),f337(f105(a1),x31811))
% 198.12/198.39 [3182]E(f337(a90,f337(a109,x31821)),x31821)
% 198.12/198.39 [3184]E(f337(a3,f337(a19,x31841)),x31841)
% 198.12/198.39 [3185]E(f337(a19,f337(a3,x31851)),x31851)
% 198.12/198.39 [3186]P29(f337(f103(a1),x31861))
% 198.12/198.39 [3191]E(f337(f198(f887(x31911)),f210(x31911)),f2(a884))
% 198.12/198.39 [3192]E(f337(f198(f885(x31921)),f116(x31921)),f2(a884))
% 198.12/198.39 [3193]E(f337(f198(f886(x31931)),f122(x31931)),f2(a884))
% 198.12/198.39 [3198]E(f337(f198(a880),f337(a28,x31981)),f2(a884))
% 198.12/198.39 [3207]E(f244(x32071,f210(x32071)),f197(f893(x32071,a878)))
% 198.12/198.39 [3214]E(f337(f337(f22(a884),x32141),f2(a884)),x32141)
% 198.12/198.39 [3215]E(f337(f337(f82(a884),x32151),f79(a884)),x32151)
% 198.12/198.39 [3216]E(f337(f337(f82(a1),x32161),f79(a1)),x32161)
% 198.12/198.39 [3217]E(f337(f337(f81(a884),x32171),f2(a884)),x32171)
% 198.12/198.39 [3218]E(f337(f337(f81(a1),x32181),f2(a1)),x32181)
% 198.12/198.39 [3219]E(f337(f337(f250(a884),x32191),f2(a884)),x32191)
% 198.12/198.39 [3221]E(f337(f337(f82(a884),x32211),f2(a884)),f2(a884))
% 198.12/198.39 [3222]E(f337(f337(f39(a1),x32221),f2(a1)),f2(a1))
% 198.12/198.39 [3223]E(f337(f337(f249(a884),x32231),f2(a884)),f2(a884))
% 198.12/198.39 [3230]E(f337(f175(x32301),f116(x32301)),f197(f893(x32301,a878)))
% 198.12/198.39 [3234]P24(f337(f139(x32341),f116(x32341)))
% 198.12/198.39 [3240]E(f337(f156(x32401,x32401),f5(x32401)),f34(f885(x32401)))
% 198.12/198.39 [3241]E(f337(f156(x32411,x32411),f34(x32411)),f34(f885(x32411)))
% 198.12/198.39 [3242]E(f337(f211(x32421,x32421),f5(x32421)),f34(f887(x32421)))
% 198.12/198.39 [3243]E(f337(f211(x32431,x32431),f34(x32431)),f34(f887(x32431)))
% 198.12/198.39 [3244]E(f45(a1,x32441,f2(a1)),x32441)
% 198.12/198.39 [3245]E(f337(f251(a884),f337(a115,x32451)),f337(f252(a884),x32451))
% 198.12/198.39 [3246]E(f337(f258(a884),f337(a115,x32461)),f337(f306(a884),x32461))
% 198.12/198.39 [3247]E(f337(f259(a884),f337(a115,x32471)),f337(f309(a884),x32471))
% 198.12/198.39 [3249]E(f45(a1,f2(a1),x32491),f2(a1))
% 198.12/198.39 [3263]E(f337(f337(f81(a884),x32631),f79(a884)),f337(a115,x32631))
% 198.12/198.39 [3273]E(f337(f307(a884,x32731),f2(a884)),f197(f893(a884,a878)))
% 198.12/198.39 [3285]E(f308(a884,f2(a884),x32851),f337(f306(a884),x32851))
% 198.12/198.39 [3331]E(f337(f337(f22(a884),f337(a115,x33311)),f79(a884)),x33311)
% 198.12/198.39 [3344]E(f47(f2(a1),x33441),f337(f337(f272(a1,a1),f2(a1)),f2(a1)))
% 198.12/198.39 [3394]P24(f337(f337(f252(a884),x33941),f337(a115,x33941)))
% 198.12/198.39 [3406]P24(f337(f337(f252(a884),f2(a884)),f337(a115,x34061)))
% 198.12/198.39 [3700]E(f337(f337(f22(a102),f337(a3,f337(a115,f337(a19,x37001)))),f79(a102)),x37001)
% 198.12/198.39 [3773]P24(f337(f337(f251(a1),f337(f80(a1),f337(f103(a1),x37731))),f2(a1)))
% 198.12/198.39 [3926]P24(f337(f337(f252(a1),f337(f80(a1),f337(f103(a1),f337(a115,x39261)))),f2(a1)))
% 198.12/198.39 [4548]~E(f260(f893(x45481,a878)),f197(f893(x45481,a878)))
% 198.12/198.39 [4589]~P24(f337(f337(f252(a884),x45891),f2(a884)))
% 198.12/198.39 [4603]~P24(f337(f337(f252(a1),f337(f103(a1),x46031)),f2(a1)))
% 198.12/198.39 [3197]E(f183(x31971,f116(f885(x31971))),f116(f885(x31971)))
% 198.12/198.39 [3200]E(f337(f337(f82(a1),a84),x32001),a84)
% 198.12/198.39 [3201]E(f337(f337(f81(a1),a84),x32011),x32011)
% 198.12/198.39 [3204]E(f337(a107,f337(f103(a1),x32041)),x32041)
% 198.12/198.39 [3205]E(f337(f337(f22(a1),x32051),a84),x32051)
% 198.12/198.39 [3206]E(f337(f337(f81(a1),x32061),a84),x32061)
% 198.12/198.39 [3208]E(f337(f337(f22(a884),x32081),x32081),f2(a884))
% 198.12/198.39 [3212]E(f337(f38(a884),f337(f258(a884),x32121)),x32121)
% 198.12/198.39 [3213]E(f337(f80(a1),f337(f80(a1),x32131)),x32131)
% 198.12/198.39 [3225]E(f337(f337(f82(a884),f79(a884)),x32251),x32251)
% 198.12/198.39 [3226]E(f337(f337(f82(a1),f79(a1)),x32261),x32261)
% 198.12/198.39 [3227]E(f337(f337(f81(a884),f2(a884)),x32271),x32271)
% 198.12/198.39 [3228]E(f337(f337(f81(a1),f2(a1)),x32281),x32281)
% 198.12/198.39 [3229]E(f337(f337(f250(a884),f2(a884)),x32291),x32291)
% 198.12/198.39 [3235]E(f337(f337(f22(a884),f2(a884)),x32351),f2(a884))
% 198.12/198.39 [3236]E(f337(f337(f82(a884),f2(a884)),x32361),f2(a884))
% 198.12/198.39 [3237]E(f337(f337(f39(a1),f2(a1)),x32371),f2(a1))
% 198.12/198.39 [3238]E(f337(f337(f249(a884),f2(a884)),x32381),f2(a884))
% 198.12/198.39 [3250]E(f128(x32501,f337(f80(a1),x32501)),f134(a1,x32501))
% 198.12/198.39 [3256]E(f337(f307(a884,f2(a884)),x32561),f337(f258(a884),x32561))
% 198.12/198.39 [3257]E(f337(f337(f82(a1),a100),x32571),f337(f80(a1),x32571))
% 198.12/198.39 [3265]E(f337(a107,f337(f106(a1),x32651)),f337(f106(a884),x32651))
% 198.12/198.39 [3266]E(f337(a19,f337(f106(a102),x32661)),f337(f106(a884),x32661))
% 198.12/198.39 [3267]E(f337(f38(a884),f337(f306(a884),x32671)),f337(a115,x32671))
% 198.12/198.39 [3277]E(f337(f337(f81(a884),f79(a884)),x32771),f337(a115,x32771))
% 198.12/198.39 [3281]E(f337(f105(a1),f337(f103(a1),x32811)),f337(f103(a1),x32811))
% 198.12/198.39 [3282]E(f337(f76(a1),f337(f103(a1),x32821)),f337(f103(a1),x32821))
% 198.12/198.39 [3287]E(f337(f38(x32871),f197(f893(x32871,a878))),f2(a884))
% 198.12/198.39 [3289]E(f337(f337(f39(a884),x32891),f337(a115,f2(a884))),x32891)
% 198.12/198.39 [3298]E(f45(a884,x32981,f337(a115,f2(a884))),f2(a884))
% 198.12/198.39 [3299]E(f45(a1,x32991,f337(f106(a1),a100)),f2(a1))
% 198.12/198.39 [3315]E(f337(f337(f39(a1),x33151),f337(f106(a1),a100)),f337(f80(a1),x33151))
% 198.12/198.39 [3319]E(f141(a884,f337(f307(a884,x33191),f2(a884))),f116(a884))
% 198.12/198.39 [3320]E(f337(f337(f81(a1),x33201),f79(a1)),f337(f337(f22(a1),x33201),a100))
% 198.12/198.39 [3321]E(f337(f337(f22(a1),x33211),f79(a1)),f337(f337(f81(a1),x33211),a100))
% 198.12/198.39 [3325]P24(f337(f337(f251(a884),x33251),x33251))
% 198.12/198.39 [3326]P24(f337(f337(f251(a1),x33261),x33261))
% 198.12/198.39 [3327]P24(f337(f337(f92(a1),x33271),x33271))
% 198.12/198.39 [3332]E(f337(f80(a1),f337(f106(a1),x33321)),f337(f106(a1),f337(f80(a1),x33321)))
% 198.12/198.39 [3333]P24(f337(f62(a884),f337(f258(a884),x33331)))
% 198.12/198.39 [3334]P24(f337(f62(a884),f337(f306(a884),x33341)))
% 198.12/198.39 [3342]E(f163(x33421,f260(f893(x33421,a878))),f260(f893(f885(x33421),a878)))
% 198.12/198.39 [3347]P24(f337(f337(f251(a884),f2(a884)),x33471))
% 198.12/198.39 [3357]E(f337(f337(f81(a884),f114(x33571)),f337(a115,f2(a884))),f114(f337(a115,x33571)))
% 198.12/198.39 [3358]E(f337(f257(x33581),f337(f16(a878,x33581),a255)),f197(f893(x33581,a878)))
% 198.12/198.39 [3359]E(f337(f257(x33591),f337(f16(a878,x33591),a196)),f260(f893(x33591,a878)))
% 198.12/198.39 [3363]E(f337(f337(f315(a884),x33631),f337(f258(a884),x33631)),f337(f258(a884),f337(a115,x33631)))
% 198.12/198.39 [3375]E(f337(f337(f81(a1),f79(a1)),f337(f103(a1),x33751)),f337(f103(a1),f337(a115,x33751)))
% 198.12/198.39 [3377]E(f337(f337(f153(f885(x33771)),f116(x33771)),f116(f885(x33771))),f54(x33771,f116(x33771)))
% 198.12/198.39 [3397]E(f197(f893(f892(x33971,x33971),a878)),f269(x33971,f197(f893(x33971,a878))))
% 198.12/198.39 [3398]E(f337(f314(x33981),f260(f893(x33981,a878))),f260(f893(f893(x33981,a878),a878)))
% 198.12/198.39 [3399]E(f337(f80(f893(x33991,a878)),f197(f893(x33991,a878))),f260(f893(x33991,a878)))
% 198.12/198.39 [3400]E(f337(f80(f893(x34001,a878)),f260(f893(x34001,a878))),f197(f893(x34001,a878)))
% 198.12/198.39 [3402]P24(f337(f62(x34021),f197(f893(x34021,a878))))
% 198.12/198.39 [3404]E(f337(f307(a884,x34041),f337(a115,x34041)),f337(f337(f315(a884),x34041),f197(f893(a884,a878))))
% 198.12/198.39 [3405]E(f86(f892(a884,a884),f48(x34051,f2(a884))),f337(f337(f272(a884,a884),f2(a884)),x34051))
% 198.12/198.39 [3419]E(f337(f337(f315(a884),f337(a115,x34191)),f337(f306(a884),x34191)),f337(f306(a884),f337(a115,x34191)))
% 198.12/198.39 [3423]P39(x34231,f197(f893(f892(x34231,x34231),a878)))
% 198.12/198.39 [3426]P24(f337(f337(f251(a1),f2(a1)),f337(f103(a1),x34261)))
% 198.12/198.39 [3434]E(f337(f337(f81(a884),f337(f198(a884),x34341)),f337(a115,f2(a884))),f337(f198(a884),f337(a115,x34341)))
% 198.12/198.39 [3546]P40(f337(f316(a884,a1,f103(a1)),x35461))
% 198.12/198.39 [3584]P41(x35841,f197(f893(x35841,a878)),f197(f893(f892(x35841,x35841),a878)))
% 198.12/198.39 [3605]E(f337(f337(f272(a1,a1),f337(f106(a1),a100)),f337(f337(f22(a1),x36051),f79(a1))),f50(f337(f106(a1),a100),x36051))
% 198.12/198.39 [3657]P56(x36571,f337(f16(f893(x36571,a878),x36571),f337(f16(a878,x36571),a255)))
% 198.12/198.39 [3864]P24(f337(f337(f339(f893(f892(a884,a884),a878)),f338(x38641)),a101))
% 198.12/198.39 [3890]P24(f337(f337(f339(f893(f892(a884,a884),a878)),f337(a109,x38901)),a101))
% 198.12/198.39 [4029]P21(x40291,f893(x40291,a878),f337(f337(f7(x40291,f893(x40291,a878),f893(x40291,a878)),f315(x40291)),f197(f893(x40291,a878))),f260(f893(x40291,a878)))
% 198.12/198.39 [4545]~E(f337(f337(f81(a1),x45451),x45451),a100)
% 198.12/198.39 [4574]~E(f337(a3,f337(a115,f337(a19,x45741))),f2(a102))
% 198.12/198.39 [4582]~P24(f337(a202,f337(f103(a1),x45821)))
% 198.12/198.39 [4585]~P24(f337(f337(f252(a884),x45851),x45851))
% 198.12/198.39 [4595]~P24(f337(f337(f251(a884),f337(a115,x45951)),x45951))
% 198.12/198.39 [3349]E(f337(a107,f337(f80(a1),f337(f103(a1),x33491))),f2(a884))
% 198.12/198.39 [3352]E(f337(f337(f81(a1),f337(f80(a1),x33521)),x33521),f2(a1))
% 198.12/198.39 [3356]E(f337(f38(a1),f337(f307(a1,f2(a1)),x33561)),f337(a107,x33561))
% 198.12/198.39 [3368]E(f337(f337(f262(a884),f337(a115,f2(a884))),x33681),f337(a115,f2(a884)))
% 198.12/198.39 [3469]E(f337(f290(x34691),f197(f893(f892(x34691,x34691),a878))),f197(f893(x34691,a878)))
% 198.12/198.39 [3477]E(f41(f893(x34771,a878),f197(f893(f893(x34771,a878),a878))),f260(f893(x34771,a878)))
% 198.12/198.39 [3478]E(f41(f893(x34781,a878),f260(f893(f893(x34781,a878),a878))),f197(f893(x34781,a878)))
% 198.12/198.39 [3479]E(f40(f893(x34791,a878),f197(f893(f893(x34791,a878),a878))),f197(f893(x34791,a878)))
% 198.12/198.39 [3480]E(f40(f893(x34801,a878),f260(f893(f893(x34801,a878),a878))),f260(f893(x34801,a878)))
% 198.12/198.39 [3527]E(f337(f337(f315(f885(x35271)),f116(x35271)),f197(f893(f885(x35271),a878))),f164(x35271,f116(f893(x35271,a878))))
% 198.12/198.39 [3528]E(f337(f337(f315(f885(x35281)),f116(x35281)),f197(f893(f885(x35281),a878))),f163(x35281,f197(f893(x35281,a878))))
% 198.12/198.39 [3567]E(f337(f337(f81(a884),f4(x35671)),f337(a115,f2(a884))),f4(f337(a3,f337(a115,f337(a19,x35671)))))
% 198.12/198.39 [3595]E(f337(f38(a1),f337(f316(a884,a1,f103(a1)),x35951)),f337(f38(a884),x35951))
% 198.12/198.39 [3596]P24(f337(f337(f251(a884),x35961),f337(f337(f82(a884),x35961),x35961)))
% 198.12/198.39 [3636]E(f337(f316(a1,a884,a107),f308(a1,f2(a1),f337(f103(a1),x36361))),f337(f306(a884),x36361))
% 198.12/198.39 [3652]E(f337(f337(f39(a884),f337(a115,f2(a884))),f337(f106(a884),x36521)),f337(a107,f337(f337(f39(a1),f79(a1)),f337(f106(a1),x36521))))
% 198.12/198.39 [3654]E(f337(f175(a884),f141(a884,f337(f307(a884,f2(a884)),f337(a115,x36541)))),f337(f306(a884),x36541))
% 198.12/198.39 [3655]E(f337(f337(f81(a884),f337(f198(a102),x36551)),f337(a115,f2(a884))),f337(f198(a102),f337(a3,f337(a115,f337(a19,x36551)))))
% 198.12/198.39 [3673]E(f337(f316(a1,a884,a107),f337(f316(a884,a1,f103(a1)),x36731)),x36731)
% 198.12/198.39 [3706]E(f337(f337(f315(a884),f2(a884)),f337(f316(a884,a884,a115),f337(f258(a884),x37061))),f337(f258(a884),f337(a115,x37061)))
% 198.12/198.39 [3713]P51(x37131,x37131,f313(x37131,f197(f893(f892(x37131,x37131),a878))))
% 198.12/198.39 [3719]P24(f337(a202,f337(f80(a1),f337(f103(a1),f337(a115,x37191)))))
% 198.12/198.39 [3730]E(f337(f337(f22(f893(a884,a878)),f337(f259(a884),x37301)),f337(f337(f315(a884),x37301),f197(f893(a884,a878)))),f337(f259(a884),f337(a115,x37301)))
% 198.12/198.39 [3746]E(f337(f337(f81(a1),f337(f337(f22(a1),a84),x37461)),f337(f337(f22(a1),a84),x37461)),f337(f337(f22(a1),a84),f337(f337(f81(a1),x37461),x37461)))
% 198.12/198.39 [3762]E(f337(f337(f315(f893(x37621,a878)),f197(f893(x37621,a878))),f197(f893(f893(x37621,a878),a878))),f337(f314(x37621),f197(f893(x37621,a878))))
% 198.12/198.39 [3790]E(f337(f337(f22(f893(a884,a878)),f337(f309(a884),x37901)),f337(f337(f315(a884),f337(a115,x37901)),f197(f893(a884,a878)))),f337(f309(a884),f337(a115,x37901)))
% 198.12/198.39 [3799]E(f337(f337(f315(f887(x37991)),f210(x37991)),f337(f316(x37991,f887(x37991),f209(x37991)),f260(f893(x37991,a878)))),f260(f893(f887(x37991),a878)))
% 198.12/198.39 [3902]E(f337(f106(a884),f337(f337(f81(a1),x39021),x39021)),f337(f337(f87(a884,a884),f337(f106(a884),x39021)),f337(f337(f18(a884,a884,a884),f81(a884)),f5(a884))))
% 198.12/198.39 [4299]P11(x42991,f893(x42991,a878),f337(f337(f8(f893(x42991,a878),f893(f893(x42991,a878),f893(x42991,a878)),x42991),f337(f7(f893(x42991,a878),f893(x42991,a878),f893(x42991,a878)),f22(f893(x42991,a878)))),f337(f337(f7(x42991,f893(x42991,a878),f893(x42991,a878)),f315(x42991)),f197(f893(x42991,a878)))))
% 198.12/198.39 [4389]E(f337(f257(f892(a1,a1)),f337(f276(a1,a1,a878),f337(f337(f8(f893(a1,a878),f893(a1,a878),a1),f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),x43891)))),f252(a1)))),f110(x43891))
% 198.12/198.39 [4422]E(f337(f257(f892(a1,a1)),f337(f276(a1,a1,a878),f337(f337(f18(a1,f893(a1,a878),f893(a1,a878)),f337(f337(f8(f893(a878,a878),f893(f893(a1,a878),f893(a1,a878)),a1),f8(a878,a878,a1)),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),x44221)))),f252(a1)))),f108(x44221))
% 198.12/198.39 [4477]E(f337(f257(f892(f893(x44771,a878),f893(x44771,a878))),f337(f276(f893(x44771,a878),f893(x44771,a878),a878),f337(f337(f7(f893(x44771,a878),f893(f893(x44771,a878),a878),f893(f893(x44771,a878),a878)),f337(f337(f8(f893(f893(x44771,a878),f893(a878,a878)),f893(f893(f893(x44771,a878),a878),f893(f893(x44771,a878),a878)),f893(x44771,a878)),f18(f893(x44771,a878),a878,a878)),f337(f337(f8(f893(f893(x44771,a878),a878),f893(f893(x44771,a878),f893(a878,a878)),f893(x44771,a878)),f337(f8(a878,f893(a878,a878),f893(x44771,a878)),a335)),f252(f893(x44771,a878))))),f62(x44771)))),f312(x44771))
% 198.12/198.39 [4600]~P24(f337(f62(f885(x46001)),f260(f893(f885(x46001),a878))))
% 198.12/198.39 [4605]~P24(f337(f337(f92(a1),a100),f337(f337(f81(a1),x46051),x46051)))
% 198.12/198.39 [4615]~P24(f337(f337(f251(a1),f2(a1)),f337(f80(a1),f337(f103(a1),f337(a115,x46151)))))
% 198.12/198.39 [3504]E(f337(f337(f22(a1),f337(f337(f81(a1),x35041),a100)),a100),x35041)
% 198.12/198.39 [3520]E(f337(f175(a884),f141(a884,f337(f307(a884,f2(a884)),x35201))),f337(f258(a884),x35201))
% 198.12/198.39 [3769]E(f337(f337(f81(a1),f337(f337(f81(a1),f79(a1)),x37691)),x37691),f337(f337(f22(a1),f337(f337(f81(a1),x37691),x37691)),a100))
% 198.12/198.39 [3818]E(f337(f292(x38181,x38181),f313(x38181,f197(f893(f892(x38181,x38181),a878)))),f313(x38181,f197(f893(f892(x38181,x38181),a878))))
% 198.12/198.39 [3867]P24(f337(f337(f251(a884),x38671),f337(f337(f82(a884),x38671),f337(f337(f82(a884),x38671),x38671))))
% 198.12/198.39 [4151]P24(f337(f62(a884),f337(f257(a884),f337(f337(f7(a884,a884,a878),f251(a884)),x41511))))
% 198.12/198.39 [4152]P24(f337(f62(a884),f337(f257(a884),f337(f337(f7(a884,a884,a878),f252(a884)),x41521))))
% 198.12/198.39 [4442]E(f337(f257(f892(x44421,x44421)),f337(f337(f8(f893(x44421,a878),a878,f892(x44421,x44421)),f88(x44421)),f337(f337(f7(f892(x44421,x44421),f893(x44421,f892(x44421,x44421)),f893(x44421,a878)),f337(f337(f8(f893(f892(x44421,x44421),a878),f893(f893(x44421,f892(x44421,x44421)),f893(x44421,a878)),f892(x44421,x44421)),f8(f892(x44421,x44421),a878,x44421)),a334)),f337(f337(f18(x44421,x44421,f892(x44421,x44421)),f272(x44421,x44421)),f5(x44421))))),f313(x44421,f197(f893(f892(x44421,x44421),a878))))
% 198.12/198.39 [4602]~E(f337(f337(f22(a1),f337(f337(f81(a1),x46021),x46021)),a100),a84)
% 198.12/198.39 [4604]~E(f337(f337(f81(a1),f337(f337(f81(a1),f79(a1)),x46041)),x46041),f2(a1))
% 198.12/198.39 [4612]~P24(f337(f337(f92(a1),f337(f337(f81(a1),x46121),x46121)),a100))
% 198.12/198.39 [3915]E(f337(f337(f81(a1),f337(f337(f22(a1),a100),x39151)),f337(f337(f22(a1),a100),x39151)),f337(f337(f22(a1),a100),f337(f337(f22(a1),f337(f337(f81(a1),x39151),x39151)),a100)))
% 198.12/198.39 [4038]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),a100),x40381)),f337(f337(f22(a1),a100),x40381))),a100),f337(f337(f22(a1),a100),f337(f337(f81(a1),x40381),x40381)))
% 198.12/198.39 [4072]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f81(a1),x40721),a100)),f337(f337(f81(a1),x40721),a100))),a100),f337(f337(f81(a1),f337(f337(f81(a1),x40721),x40721)),a100))
% 198.12/198.39 [4111]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),a100),x41111)),f337(f337(f22(a1),a100),x41111))),a100),f337(f337(f22(a1),a84),f337(f337(f22(a1),f337(f337(f81(a1),x41111),x41111)),a100)))
% 198.12/198.39 [4216]E(f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x42161),f2(a884))),f197(f893(f892(a884,a884),a878))))),f337(f103(a1),x42161))
% 198.12/198.39 [4226]E(f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),f342(x42261)),f498(x42261))),f197(f893(f892(a884,a884),a878))))),x42261)
% 198.12/198.39 [4261]E(f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x42611)),f337(f316(a884,a1,f103(a1)),f337(f257(a884),f337(f337(f8(a1,a878,a884),x42611),f103(a1)))))
% 198.12/198.39 [4307]P40(f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x43071)))
% 198.12/198.39 [4328]P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x43281),f197(f893(f892(a884,a884),a878)))),a72))
% 198.12/198.39 [4334]E(f337(f316(a1,a884,a107),f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),f337(f337(f8(a884,a878,a1),x43341),a107)))),f337(f257(a884),x43341))
% 198.12/198.39 [4491]E(f318(a884,f337(f337(f42(f892(a884,a884),f893(a884,a878)),f337(a109,x44911)),f337(f276(a884,a884,f893(a884,a878)),f337(f337(f7(a884,f893(a884,a878),f893(a884,f893(a884,a878))),f337(f337(f8(f893(a884,f893(f893(a884,a878),f893(a884,a878))),f893(f893(a884,a878),f893(a884,f893(a884,a878))),a884),f7(a884,f893(a884,a878),f893(a884,a878))),f337(f337(f8(f893(a884,a884),f893(a884,f893(f893(a884,a878),f893(a884,a878))),a884),f337(f8(a884,f893(f893(a884,a878),f893(a884,a878)),a884),f315(a884))),f22(a884)))),f197(f893(a884,a878)))))),f337(a107,x44911))
% 198.12/198.39 [4617]~P24(f337(f337(f92(a1),a84),f337(f337(f22(a1),f337(f337(f81(a1),x46171),x46171)),a100)))
% 198.12/198.39 [3960]E(f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),x39601),x39601)),a100)),a100),f337(f337(f81(a1),x39601),x39601))
% 198.12/198.39 [4012]E(f337(f337(f22(a1),f337(f337(f22(a1),f337(f337(f81(a1),x40121),x40121)),a100)),a100),f337(f337(f81(a1),f337(f337(f22(a1),x40121),a100)),f337(f337(f22(a1),x40121),a100)))
% 198.12/198.39 [4234]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f81(a1),f337(f80(a1),x42341)),a100)),f337(f337(f81(a1),f337(f80(a1),x42341)),a100))),a100),f337(f80(a1),f337(f337(f22(a1),f337(f337(f81(a1),x42341),x42341)),a100)))
% 198.12/198.39 [4625]~P24(f337(f337(f92(a1),f337(f337(f22(a1),f337(f337(f81(a1),x46251),x46251)),a100)),a84))
% 198.12/198.39 [4279]E(f337(f337(f81(a884),x42791),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(a115,f337(a115,x42791)))
% 198.12/198.39 [4280]E(f337(f337(f82(a884),x42801),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f81(a884),x42801),x42801))
% 198.12/198.39 [4281]E(f337(f337(f39(a884),f337(f337(f81(a884),x42811),x42811)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x42811)
% 198.12/198.39 [4363]E(f45(a884,f337(a115,f337(a115,x43631)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f45(a884,x43631,f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.39 [4506]E(f337(a90,f337(f337(f42(f892(a884,a884),f893(f892(a884,a884),a878)),f337(a109,x45061)),f337(f276(a884,a884,f893(f892(a884,a884),a878)),f337(f337(f8(f893(a884,f893(f892(a884,a884),a878)),f893(a884,f893(f892(a884,a884),a878)),a884),f337(f8(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878),a884),f291(f892(a884,a884),f892(a884,a884),a111))),f337(f337(f7(a884,f893(f892(a884,a884),a878),f893(a884,f893(f892(a884,a884),a878))),f337(f337(f8(f893(a884,f893(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f893(f893(f892(a884,a884),a878),f893(a884,f893(f892(a884,a884),a878))),a884),f7(a884,f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f8(f893(a884,f892(a884,a884)),f893(a884,f893(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),a884),f337(f8(f892(a884,a884),f893(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),a884),f315(f892(a884,a884)))),f337(f7(a884,a884,f892(a884,a884)),f272(a884,a884))))),f197(f893(f892(a884,a884),a878))))))),f337(f80(a1),x45061))
% 198.12/198.39 [4358]E(f337(f337(f81(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x43581),f337(a115,f337(a115,x43581)))
% 198.12/198.39 [4359]E(f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x43591),f337(f337(f81(a884),x43591),x43591))
% 198.12/198.39 [4394]E(f337(f337(f39(a884),f337(a115,f337(a115,x43941))),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(a115,f337(f337(f39(a884),x43941),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.39 [4448]E(f337(f337(f81(a884),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),x44481),f337(a115,f337(a115,f337(a115,x44481))))
% 198.12/198.39 [4514]E(f337(f276(a1,a1,f892(a1,a1)),f337(f337(f18(a1,f893(a1,f892(a1,a1)),f893(a1,f892(a1,a1))),f337(f337(f8(f893(a1,f893(f892(a1,a1),f892(a1,a1))),f893(f893(a1,f892(a1,a1)),f893(a1,f892(a1,a1))),a1),f18(a1,f892(a1,a1),f892(a1,a1))),f337(f337(f8(f893(a1,f892(a1,a1)),f893(a1,f893(f892(a1,a1),f892(a1,a1))),a1),f337(f18(a1,f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),f337(f337(f8(a878,f893(f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),a1),f99(f892(a1,a1))),f337(f337(f8(a1,a878,a1),f337(f251(a1),f2(a1))),f337(f337(f7(a1,a1,a1),f22(a1)),x45141))))),f337(f337(f7(a1,f893(a1,a1),f893(a1,f892(a1,a1))),f337(f337(f8(f893(a1,f892(a1,a1)),f893(f893(a1,a1),f893(a1,f892(a1,a1))),a1),f8(a1,f892(a1,a1),a1)),f337(f337(f8(a1,f893(a1,f892(a1,a1)),a1),f272(a1,a1)),f337(f337(f7(a1,a1,a1),f337(f337(f8(a1,f893(a1,a1),a1),f81(a1)),f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f79(a1))))),f337(f337(f7(a1,a1,a1),f22(a1)),x45141))))),f337(f337(f8(a1,f893(a1,f892(a1,a1)),a1),f272(a1,a1)),f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))),f44(x45141))
% 198.12/198.39 [3167]P95(f891(x31671,x31672))
% 198.12/198.39 [3168]P95(f892(x31681,x31682))
% 198.12/198.39 [3169]P95(f888(x31691,x31692))
% 198.12/198.39 [3170]P104(f891(x31701,x31702))
% 198.12/198.39 [3171]P104(f892(x31711,x31712))
% 198.12/198.39 [3172]P104(f888(x31721,x31722))
% 198.12/198.39 [3189]P30(a1,f182(x31891,x31892))
% 198.12/198.39 [3190]P39(x31901,f155(x31901,x31902))
% 198.12/198.39 [3258]P33(x32581,x32582,f116(x32581))
% 198.12/198.39 [3293]P41(x32931,x32932,f269(x32931,x32932))
% 198.12/198.39 [3294]P51(x32941,x32941,f269(x32941,x32942))
% 198.12/198.39 [3570]P21(x35701,x35701,f5(x35701),x35702)
% 198.12/198.39 [3571]P21(x35711,x35711,f34(x35711),x35712)
% 198.12/198.39 [3579]P34(x35791,x35792,f116(x35791),f116(x35791))
% 198.12/198.39 [3580]P21(x35801,f887(x35801),f209(x35801),x35802)
% 198.12/198.39 [3589]P21(f885(x35891),f885(x35891),f171(x35891),x35892)
% 198.12/198.39 [4525]~E(f33(x45251,x45252),a24)
% 198.12/198.39 [4526]~E(f32(x45261,x45262),a24)
% 198.12/198.39 [4557]~P35(x45571,x45572,f116(x45571))
% 198.12/198.39 [4558]~P37(x45581,x45582,f116(x45581))
% 198.12/198.39 [3149]E(f337(f5(x31491),x31492),x31492)
% 198.12/198.39 [3150]E(f337(f257(x31501),x31502),x31502)
% 198.12/198.39 [3152]E(f337(f34(x31521),x31522),x31522)
% 198.12/198.39 [3162]E(f337(f200(x31621),x31622),f118(x31621))
% 198.12/198.39 [3187]E(f86(x31871,f337(a334,x31872)),x31872)
% 198.12/198.39 [3188]E(f91(x31881,f337(a334,x31882)),x31882)
% 198.12/198.39 [3210]E(f337(f138(x32101,x32102),f116(x32101)),f116(x32101))
% 198.12/198.39 [3231]E(f313(x32311,f313(x32311,x32312)),f313(x32311,x32312))
% 198.12/198.39 [3232]E(f154(x32321,f154(x32321,x32322)),f154(x32321,x32322))
% 198.12/198.39 [3253]E(f337(f337(f136(x32531),x32532),f116(x32531)),x32532)
% 198.12/198.39 [3259]E(f176(x32591,x32592,f116(x32591)),x32592)
% 198.12/198.39 [3260]E(f119(x32601,f122(x32601),x32602),x32602)
% 198.12/198.39 [3261]E(f176(x32611,f116(x32611),x32612),x32612)
% 198.12/198.39 [3262]E(f172(x32621,f2(a884),x32622),f116(x32621))
% 198.12/198.39 [3268]E(f337(f337(f178(x32681),x32682),f116(x32681)),f116(x32681))
% 198.12/198.39 [3269]E(f337(f337(f140(x32691),x32692),f116(x32691)),f116(x32691))
% 198.12/198.39 [3271]E(f245(x32711,x32712,f210(x32711)),f2(a884))
% 198.12/198.39 [3272]E(f157(x32721,x32722,f116(x32721)),f2(a884))
% 198.12/198.39 [3274]E(f173(x32741,x32742,f116(x32741)),f116(x32741))
% 198.12/198.39 [3275]E(f180(x32751,x32752,f116(x32751)),f116(x32751))
% 198.12/198.39 [3276]E(f179(x32761,f116(x32761),x32762),f116(x32761))
% 198.12/198.39 [3280]E(f337(f175(x32801),f154(x32801,x32802)),f337(f175(x32801),x32802))
% 198.12/198.39 [3283]E(f337(f268(x32831,x32831),f269(x32831,x32832)),x32832)
% 198.12/198.39 [3284]E(f337(f270(x32841,x32841),f269(x32841,x32842)),x32842)
% 198.12/198.39 [3292]E(f337(f292(x32921,x32921),f269(x32921,x32922)),f269(x32921,x32922))
% 198.12/198.39 [3307]E(f313(f885(x33071),f159(x33071,x33072)),f160(x33071,f313(x33071,x33072)))
% 198.12/198.39 [3309]P24(f337(f139(a1),f182(x33091,x33092)))
% 198.12/198.39 [3317]E(f337(f268(x33171,x33171),f313(x33171,x33172)),f260(f893(x33171,a878)))
% 198.12/198.39 [3318]E(f337(f270(x33181,x33181),f313(x33181,x33182)),f260(f893(x33181,a878)))
% 198.12/198.39 [3322]P24(f337(f139(x33221),f154(x33221,x33222)))
% 198.12/198.39 [3324]P24(f337(f162(x33241,x33242),f116(x33241)))
% 198.12/198.39 [3330]E(f337(f175(a1),f182(x33301,x33302)),f308(a1,x33301,x33302))
% 198.12/198.39 [3345]P52(x33451,f197(f893(x33451,a878)),x33452)
% 198.12/198.39 [3350]E(f337(f275(a1,a1),f46(x33501,x33502)),f45(a1,x33501,x33502))
% 198.12/198.39 [3351]E(f337(f307(a884,x33511),f337(a115,x33512)),f308(a884,x33511,x33512))
% 198.12/198.39 [3367]E(f337(f337(f153(x33671),x33672),f116(x33671)),f142(x33671,x33672,f116(x33671)))
% 198.12/198.39 [3379]E(f308(a884,f337(a115,x33791),x33792),f310(a884,x33791,x33792))
% 198.12/198.39 [3382]P41(x33821,f260(f893(x33821,a878)),f313(x33821,x33822))
% 198.12/198.39 [3446]E(f337(f337(f22(a884),x34461),f337(a115,x34462)),f337(f38(a884),f311(a884,x34462,x34461)))
% 198.12/198.39 [3505]E(f169(x35051,x35052,f116(x35051)),f337(f337(f272(f885(x35051),f885(x35051)),f116(x35051)),f116(x35051)))
% 198.12/198.39 [3525]E(f337(f276(x35251,x35252,f892(x35251,x35252)),f272(x35251,x35252)),f34(f892(x35251,x35252)))
% 198.12/198.39 [3530]P24(f337(f337(f339(f885(x35301)),f116(x35301)),f163(x35301,x35302)))
% 198.12/198.39 [3531]E(f337(f198(f885(x35311)),f117(x35311,x35312)),f337(f337(f22(a884),f337(f198(f885(x35311)),x35312)),f79(a884)))
% 198.12/198.39 [3540]P24(f337(f62(a884),f308(a884,x35401,x35402)))
% 198.12/198.39 [3541]P24(f337(f62(a884),f311(a884,x35411,x35412)))
% 198.12/198.39 [3542]P24(f337(f62(a884),f310(a884,x35421,x35422)))
% 198.12/198.39 [3543]P24(f337(f62(a1),f308(a1,x35431,x35432)))
% 198.12/198.39 [3544]P24(f337(f62(a1),f311(a1,x35441,x35442)))
% 198.12/198.39 [3545]P24(f337(f62(a1),f310(a1,x35451,x35452)))
% 198.12/198.39 [3651]E(f337(f316(a884,a884,a115),f308(a884,x36511,x36512)),f308(a884,f337(a115,x36511),f337(a115,x36512)))
% 198.12/198.39 [3670]E(f337(f337(f294(x36701,x36701,x36701),f313(x36701,x36702)),f313(x36701,x36702)),f313(x36701,x36702))
% 198.12/198.39 [3704]E(f337(f337(f272(a1,a1),f337(f337(f39(a1),x37041),x37042)),f45(a1,x37041,x37042)),f46(x37041,x37042))
% 198.12/198.39 [3705]E(f337(f337(f272(a102,a102),f337(f337(f39(a102),x37051),x37052)),f45(a102,x37051,x37052)),f21(x37051,x37052))
% 198.12/198.39 [3734]E(f337(f337(f272(a884,a884),f337(f337(f39(a884),x37341),x37342)),f45(a884,x37341,x37342)),f86(f892(a884,a884),f48(x37341,x37342)))
% 198.12/198.39 [3786]P24(f337(f337(f252(a884),f337(f337(f22(a884),x37861),x37862)),f337(a115,x37861)))
% 198.12/198.39 [3889]E(f337(f337(f81(a1),f337(f337(f82(a1),x38891),f337(f337(f39(a1),x38892),x38891))),f45(a1,x38892,x38891)),x38892)
% 198.12/198.39 [3893]E(f337(f337(f42(a884,f893(f892(f885(x38931),f885(x38931)),a878)),f260(f893(a884,a878))),f145(x38931,x38932)),f147(x38931,x38932))
% 198.12/198.39 [4126]P24(f337(f337(f339(f892(f885(x41261),f885(x41261))),f337(f337(f272(f885(x41261),f885(x41261)),f116(x41261)),f116(x41261))),f160(x41261,x41262)))
% 198.12/198.39 [4246]E(f273(x42461,x42461,x42461,a334,f273(x42461,x42461,x42461,x42462,a334)),x42462)
% 198.12/198.39 [4292]E(f277(x42921,x42921,x42922,x42922,f5(x42921),f5(x42922)),f34(f892(x42921,x42922)))
% 198.12/198.39 [4294]E(f277(x42941,x42941,x42942,x42942,f34(x42941),f34(x42942)),f34(f892(x42941,x42942)))
% 198.12/198.39 [4534]~E(f337(f209(x45341),x45342),f210(x45341))
% 198.12/198.39 [3251]E(f337(f248(x32511),f337(f209(x32511),x32512)),x32512)
% 198.12/198.39 [3252]E(f337(f171(x32521),f337(f171(x32521),x32522)),x32522)
% 198.12/198.39 [3254]E(f337(f337(f140(x32541),f2(a884)),x32542),x32542)
% 198.12/198.39 [3270]E(f337(f337(f178(x32701),f2(a884)),x32702),f116(x32701))
% 198.12/198.39 [3278]E(f337(f337(f136(x32781),f116(x32781)),x32782),x32782)
% 198.12/198.39 [3286]E(f337(f198(f887(x32861)),f337(f209(x32861),x32862)),f2(a884))
% 198.12/198.39 [3288]E(f40(f893(x32881,a878),f337(f314(x32881),x32882)),x32882)
% 198.12/198.39 [3290]E(f337(f175(x32901),f337(f170(x32901),x32902)),f337(f175(x32901),x32902))
% 198.12/198.39 [3291]E(f337(f175(x32911),f337(f171(x32911),x32912)),f337(f175(x32911),x32912))
% 198.12/198.39 [3296]E(f337(f337(f22(a102),x32961),x32962),f337(f337(a23,x32961),x32962))
% 198.12/198.39 [3311]E(f337(f337(f82(a884),x33111),x33112),f337(f337(f82(a884),x33112),x33111))
% 198.12/198.39 [3312]E(f337(f337(f82(a1),x33121),x33122),f337(f337(f82(a1),x33122),x33121))
% 198.12/198.39 [3313]E(f337(f337(f81(a884),x33131),x33132),f337(f337(f81(a884),x33132),x33131))
% 198.12/198.39 [3314]E(f337(f337(f81(a1),x33141),x33142),f337(f337(f81(a1),x33142),x33141))
% 198.12/198.39 [3337]E(f337(f337(f192(x33371,x33371),f2(a884)),x33372),f34(x33371))
% 198.12/198.39 [3338]E(f337(f198(f885(x33381)),f337(f170(x33381),x33382)),f337(f198(f885(x33381)),x33382))
% 198.12/198.39 [3339]E(f337(f198(f885(x33391)),f337(f171(x33391),x33392)),f337(f198(f885(x33391)),x33392))
% 198.12/198.39 [3340]E(f179(x33401,x33402,f197(f893(a884,a878))),f116(x33401))
% 198.12/198.39 [3341]E(f337(f337(f156(x33411,x33411),f5(x33411)),x33412),x33412)
% 198.12/198.39 [3343]E(f337(f271(a1,a1),f46(x33431,x33432)),f337(f337(f39(a1),x33431),x33432))
% 198.12/198.39 [3360]E(f337(f198(f885(x33601)),f154(x33601,x33602)),f337(f38(x33601),f337(f175(x33601),x33602)))
% 198.12/198.39 [3361]E(f31(f32(x33611,x33612)),f337(f337(f81(a884),f31(x33612)),f337(a115,f2(a884))))
% 198.12/198.39 [3362]E(f337(f290(x33621),f337(f292(x33621,x33621),x33622)),f337(f290(x33621),x33622))
% 198.12/198.39 [3366]P24(f337(f62(x33661),f337(f175(x33661),x33662)))
% 198.12/198.39 [3374]E(f337(f337(f81(a1),x33741),f337(f80(a1),x33742)),f337(f337(f22(a1),x33741),x33742))
% 198.12/198.39 [3381]P20(x33811,x33812,f197(f893(f882(x33811),a878)))
% 198.12/198.39 [3383]E(f337(f316(x33831,x33831,f5(x33831)),x33832),x33832)
% 198.12/198.39 [3384]E(f337(f316(x33841,x33841,f34(x33841)),x33842),x33842)
% 198.12/198.39 [3385]E(f337(f317(x33851,x33851,f5(x33851)),x33852),x33852)
% 198.12/198.39 [3386]E(f337(f317(x33861,x33861,f34(x33861)),x33862),x33862)
% 198.12/198.39 [3387]P24(f337(f260(f893(x33871,a878)),x33872))
% 198.12/198.39 [3389]E(f337(f38(a884),f337(f307(a884,x33891),x33892)),f337(f337(f22(a884),x33892),x33891))
% 198.12/198.39 [3390]E(f337(f307(a884,f337(a115,x33901)),x33902),f311(a884,x33901,x33902))
% 198.12/198.39 [3403]E(f337(f337(f315(x34031),x34032),f197(f893(x34031,a878))),f337(f257(x34031),f337(a334,x34032)))
% 198.12/198.39 [3407]E(f337(f337(f315(x34071),x34072),f197(f893(x34071,a878))),f244(x34071,f337(f209(x34071),x34072)))
% 198.12/198.39 [3409]E(f313(x34091,f337(f292(x34091,x34091),x34092)),f337(f292(x34091,x34091),f313(x34091,x34092)))
% 198.12/198.39 [3414]E(f337(f337(f81(a884),f337(a115,x34141)),x34142),f337(f337(f81(a884),x34141),f337(a115,x34142)))
% 198.12/198.39 [3415]E(f337(f337(f22(a884),f337(a115,x34151)),f337(a115,x34152)),f337(f337(f22(a884),x34151),x34152))
% 198.12/198.39 [3421]E(f55(x34211,f2(a884),x34212),f337(f337(f153(f885(x34211)),f116(x34211)),f116(f885(x34211))))
% 198.12/198.39 [3422]E(f337(f38(a884),f310(a884,x34221,x34222)),f337(f337(f22(a884),x34222),x34221))
% 198.12/198.39 [3431]P39(x34311,f337(f337(f293(a884,x34311),a256),x34312))
% 198.12/198.39 [3433]P30(a884,f141(a884,f337(f307(a884,x34331),x34332)))
% 198.12/198.39 [3435]P24(f337(f62(a884),f337(f307(a884,x34351),x34352)))
% 198.12/198.39 [3436]P24(f337(f62(a1),f337(f307(a1,x34361),x34362)))
% 198.12/198.39 [3439]E(f337(f292(f885(x34391),f885(x34391)),f159(x34391,x34392)),f159(x34391,f337(f292(x34391,x34391),x34392)))
% 198.12/198.39 [3440]E(f337(f198(a880),f32(x34401,x34402)),f337(f337(f81(a884),f337(f198(a880),x34402)),f337(a115,f2(a884))))
% 198.12/198.39 [3442]E(f337(f307(a1,x34421),f337(f337(f81(a1),x34422),f79(a1))),f308(a1,x34421,x34422))
% 198.12/198.39 [3445]E(f337(f337(f39(a1),f337(f80(a1),x34451)),f337(f80(a1),x34452)),f337(f337(f39(a1),x34451),x34452))
% 198.12/198.39 [3453]E(f187(x34531,x34532,f337(f16(f887(x34532),x34531),f210(x34532))),f197(f893(x34531,a878)))
% 198.12/198.39 [3454]E(f189(x34541,x34542,f337(f16(f887(x34542),x34541),f210(x34542))),f197(f893(x34542,a878)))
% 198.12/198.39 [3455]E(f337(f337(f192(f892(x34551,x34551),a878),f79(a884)),x34552),x34552)
% 198.12/198.39 [3457]E(f337(f337(f113(f893(x34571,a878)),x34572),f197(f893(x34571,a878))),x34572)
% 198.12/198.39 [3458]E(f337(f337(f22(f893(x34581,a878)),x34582),f197(f893(x34581,a878))),x34582)
% 198.12/198.39 [3459]E(f337(f337(f104(f893(x34591,a878)),x34592),f260(f893(x34591,a878))),x34592)
% 198.12/198.39 [3460]E(f337(f271(a884,a884),f86(f892(a884,a884),f48(x34601,x34602))),f337(f337(f39(a884),x34601),x34602))
% 198.12/198.39 [3467]E(f319(x34671,f337(a20,x34672),f337(f80(a1),f337(a20,x34672))),f337(f337(f322(a1),x34671),x34672))
% 198.12/198.39 [3468]E(f308(a1,f337(f337(f81(a1),x34681),f79(a1)),x34682),f310(a1,x34681,x34682))
% 198.12/198.39 [3473]E(f337(f275(a884,a884),f86(f892(a884,a884),f48(x34731,x34732))),f45(a884,x34731,x34732))
% 198.12/198.39 [3481]E(f320(x34811,f337(a20,x34812),f337(f80(a1),f337(a20,x34812))),f321(a1,x34811,x34812))
% 198.12/198.39 [3484]P24(f337(f337(f339(x34841),x34842),f260(f893(x34841,a878))))
% 198.12/198.39 [3489]E(f337(f337(f22(a884),f337(a115,x34891)),x34892),f337(f38(a884),f308(a884,x34892,x34891)))
% 198.12/198.39 [3516]E(f337(f337(f113(f893(x35161,a878)),x35162),f260(f893(x35161,a878))),f260(f893(x35161,a878)))
% 198.12/198.39 [3517]E(f337(f337(f22(f893(x35171,a878)),x35172),f260(f893(x35171,a878))),f197(f893(x35171,a878)))
% 198.12/198.39 [3518]E(f337(f337(f104(f893(x35181,a878)),x35182),f197(f893(x35181,a878))),f197(f893(x35181,a878)))
% 198.12/198.39 [3535]E(f45(a1,f337(f80(a1),x35351),f337(f80(a1),x35352)),f337(f80(a1),f45(a1,x35351,x35352)))
% 198.12/198.39 [3536]E(f45(a1,f337(f103(a1),x35361),f337(f103(a1),x35362)),f337(f103(a1),f45(a884,x35361,x35362)))
% 198.12/198.39 [3547]E(f337(f198(f885(x35471)),f337(f174(x35471),x35472)),f337(f337(f22(a884),f337(f198(f885(x35471)),x35472)),f79(a884)))
% 198.12/198.39 [3572]E(f337(f337(f39(a1),f45(a1,x35721,x35722)),x35722),f2(a1))
% 198.12/198.39 [3582]E(f337(a3,f45(a884,f337(a19,x35821),f337(a19,x35822))),f45(a102,x35821,x35822))
% 198.12/198.39 [3618]E(f337(a3,f337(f337(f22(a884),f337(a19,x36181)),f337(a19,x36182))),f337(f337(f22(a102),x36181),x36182))
% 198.12/198.39 [3619]E(f337(a3,f337(f337(f82(a884),f337(a19,x36191)),f337(a19,x36192))),f337(f337(f82(a102),x36191),x36192))
% 198.12/198.39 [3620]E(f337(a3,f337(f337(f81(a884),f337(a19,x36201)),f337(a19,x36202))),f337(f337(f81(a102),x36201),x36202))
% 198.12/198.39 [3621]E(f337(a3,f337(f337(f39(a884),f337(a19,x36211)),f337(a19,x36212))),f337(f337(f39(a102),x36211),x36212))
% 198.12/198.39 [3630]E(f337(f316(a884,a884,a115),f337(f307(a884,x36301),x36302)),f337(f307(a884,f337(a115,x36301)),f337(a115,x36302)))
% 198.12/198.39 [3656]P24(f337(f48(x36561,x36562),f86(f892(a884,a884),f48(x36561,x36562))))
% 198.12/198.39 [3676]E(f337(f337(f81(a884),f337(f337(f81(a884),f31(x36761)),f31(x36762))),f337(a115,f2(a884))),f31(f33(x36761,x36762)))
% 198.12/198.39 [3677]E(f45(a884,f337(a115,f45(a884,x36771,x36772)),x36772),f45(a884,f337(a115,x36771),x36772))
% 198.12/198.39 [3691]E(f337(f337(f43(f893(x36911,a878),f893(x36911,a878)),x36912),f5(f893(x36911,a878))),f41(f893(x36911,a878),x36912))
% 198.12/198.39 [3692]E(f337(f337(f42(f893(x36921,a878),f893(x36921,a878)),x36922),f5(f893(x36921,a878))),f40(f893(x36921,a878),x36922))
% 198.12/198.39 [3693]E(f337(f316(f885(x36931),f893(x36931,a878),f175(x36931)),f337(f175(f885(x36931)),f54(x36931,x36932))),f337(f314(x36931),f337(f175(x36931),x36932)))
% 198.12/198.39 [3697]P24(f337(f337(f339(f893(x36971,a878)),x36972),f337(f314(x36971),x36972)))
% 198.12/198.39 [3703]E(f45(a1,f337(f80(a1),f45(a1,x37031,x37032)),x37032),f45(a1,f337(f80(a1),x37031),x37032))
% 198.12/198.39 [3715]P24(f337(f337(f251(f893(x37151,a878)),x37152),f260(f893(x37151,a878))))
% 198.12/198.39 [3717]E(f337(f337(f294(x37171,x37171,x37171),f313(x37171,x37172)),f313(x37171,f313(x37171,x37172))),f313(x37171,x37172))
% 198.12/198.39 [3718]E(f337(f337(f113(f893(x37181,a878)),f337(f270(x37181,x37181),x37182)),f337(f268(x37181,x37181),x37182)),f337(f290(x37181),x37182))
% 198.12/198.39 [3739]E(f324(x37391,x37392,f260(f893(x37391,a878)),f260(f893(x37392,a878))),f260(f893(f891(x37391,x37392),a878)))
% 198.12/198.39 [3791]P24(f337(f337(f251(a884),f45(a884,x37911,x37912)),x37911))
% 198.12/198.39 [3816]P24(f337(f337(f251(a1),f337(f80(a1),f337(f103(a1),x38161))),f337(f103(a1),x38162)))
% 198.12/198.39 [3843]P24(f337(f337(f339(f893(x38431,a878)),f197(f893(x38431,a878))),f337(f314(x38431),x38432)))
% 198.12/198.39 [3848]E(f313(x38481,f337(f337(f294(x38481,x38481,x38481),x38482),f313(x38481,x38482))),f313(x38481,x38482))
% 198.12/198.39 [3851]E(f337(f337(f294(x38511,x38511,x38511),f313(x38511,x38512)),x38512),f337(f337(f294(x38511,x38511,x38511),x38512),f313(x38511,x38512)))
% 198.12/198.39 [3853]E(f337(a107,f337(f337(f81(a1),f337(f337(f22(a1),x38531),x38532)),f79(a1))),f337(f38(a1),f308(a1,x38532,x38531)))
% 198.12/198.39 [3868]E(f337(f268(x38681,x38681),f337(f337(f294(x38681,x38681,x38681),x38682),f313(x38681,x38682))),f337(f268(x38681,x38681),x38682))
% 198.12/198.39 [3869]E(f337(f270(x38691,x38691),f337(f337(f294(x38691,x38691,x38691),x38692),f313(x38691,x38692))),f337(f270(x38691,x38691),x38692))
% 198.12/198.39 [3885]E(f337(f337(f81(a884),f337(f337(f81(a884),f337(f198(a880),x38851)),f337(f198(a880),x38852))),f337(a115,f2(a884))),f337(f198(a880),f33(x38851,x38852)))
% 198.12/198.39 [3888]E(f337(f144(f885(x38881),f885(x38881),f136(x38881),f116(x38881)),f172(f885(x38881),x38882,f116(x38881))),f116(x38881))
% 198.12/198.39 [3897]P21(a884,a884,f337(f337(f7(a884,a884,a884),f81(a884)),x38971),x38972)
% 198.12/198.39 [3899]P30(a884,f337(f171(a884),f337(f337(f156(f885(x38991),a884),f198(f885(x38991))),f183(x38991,x38992))))
% 198.12/198.39 [3946]P24(f337(f337(f252(a1),f337(f80(a1),f337(f103(a1),f337(a115,x39461)))),f337(f103(a1),x39462)))
% 198.12/198.39 [3993]E(f337(f144(f885(x39931),x39931,f337(f7(x39931,f885(x39931),f885(x39931)),f153(x39931)),f116(x39931)),x39932),f337(f171(x39931),x39932))
% 198.12/198.39 [4045]P24(f337(f337(f251(f893(f892(f885(x40451),f885(x40451)),a878)),f160(x40451,x40452)),f313(f885(x40451),f159(x40451,x40452))))
% 198.12/198.39 [4076]P24(f337(f48(x40761,x40762),f337(f337(f272(a884,a884),f337(f337(f39(a884),x40761),x40762)),f45(a884,x40761,x40762))))
% 198.12/198.39 [4087]P24(f337(f337(f251(f893(f892(f885(x40871),f885(x40871)),a878)),f159(x40871,f313(x40871,x40872))),f313(f885(x40871),f159(x40871,x40872))))
% 198.12/198.39 [4318]E(f337(f337(f278(f892(a102,a102),a102,f892(a102,a102),f892(x43181,f892(a102,a102))),f282(f337(f168(a102),f337(f337(f156(f892(a102,x43181),a102),f271(a102,x43181)),x43182)))),f337(f337(f8(x43181,f893(f892(a102,a102),f892(x43181,f892(a102,a102))),a102),f272(x43181,f892(a102,a102))),f283(x43181,x43182))),f281(x43181,x43182))
% 198.12/198.39 [4430]E(f337(f246(a884,f892(x44301,f886(x44301)),f2(a884),f337(f276(x44301,f886(x44301),a884),f337(f16(f893(f886(x44301),a884),x44301),f337(f337(f7(f886(x44301),a884,a884),f337(f337(f8(a884,f893(a884,a884),f886(x44301)),f81(a884)),f198(f886(x44301)))),f79(a884))))),f337(f137(x44301),x44302)),f337(f198(f886(x44301)),x44302))
% 198.12/198.39 [4505]E(f337(f276(f893(f892(x45051,x45051),a878),f893(f892(x45051,x45051),a878),f893(f893(x45052,x45051),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878)))),f337(f337(f7(f893(f892(x45051,x45051),a878),f893(f893(f892(x45051,x45051),a878),f893(f893(x45052,x45051),f893(f892(x45052,x45052),a878))),f893(f893(f892(x45051,x45051),a878),f893(f893(x45052,x45051),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878))))),f337(f337(f8(f893(f893(f893(x45052,x45051),f893(f892(x45052,x45052),a878)),f893(f893(x45052,x45051),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878)))),f893(f893(f893(f892(x45051,x45051),a878),f893(f893(x45052,x45051),f893(f892(x45052,x45052),a878))),f893(f893(f892(x45051,x45051),a878),f893(f893(x45052,x45051),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878))))),f893(f892(x45051,x45051),a878)),f8(f893(f893(x45052,x45051),f893(f892(x45052,x45052),a878)),f893(f893(x45052,x45051),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878))),f893(f892(x45051,x45051),a878))),f337(f337(f8(f893(f893(x45052,x45051),f893(f893(f892(x45052,x45052),a878),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878)))),f893(f893(f893(x45052,x45051),f893(f892(x45052,x45052),a878)),f893(f893(x45052,x45051),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878)))),f893(f892(x45051,x45051),a878)),f18(f893(x45052,x45051),f893(f892(x45052,x45052),a878),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878)))),f337(f337(f8(f893(f893(x45052,x45051),f893(f892(x45052,x45052),a878)),f893(f893(x45052,x45051),f893(f893(f892(x45052,x45052),a878),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878)))),f893(f892(x45051,x45051),a878)),f337(f8(f893(f892(x45052,x45052),a878),f893(f893(f892(x45052,x45052),a878),f892(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878))),f893(x45052,x45051)),f272(f893(f892(x45052,x45052),a878),f893(f892(x45052,x45052),a878)))),f293(x45051,x45052))))),f293(x45051,x45052))),f75(x45051,x45052))
% 198.12/198.39 [4583]~E(f337(f314(x45831),x45832),f197(f893(f893(x45831,a878),a878)))
% 198.12/198.39 [4594]~P24(f337(f337(f175(x45941),f116(x45941)),x45942))
% 198.12/198.39 [4599]~P24(f337(f337(f339(x45991),x45992),f197(f893(x45991,a878))))
% 198.12/198.39 [4609]~P24(f337(f337(f252(f893(x46091,a878)),x46092),f197(f893(x46091,a878))))
% 198.12/198.39 [3392]E(f337(f337(f22(a884),x33921),f337(f337(f81(a884),x33921),x33922)),f2(a884))
% 198.12/198.39 [3395]E(f337(f337(f113(f893(x33951,a878)),x33952),x33952),x33952)
% 198.12/198.39 [3396]E(f337(f337(f104(f893(x33961,a878)),x33962),x33962),x33962)
% 198.12/198.39 [3424]E(f337(f337(f22(f893(x34241,a878)),x34242),x34242),f197(f893(x34241,a878)))
% 198.12/198.39 [3427]E(f337(f145(x34271,x34272),f2(a884)),f197(f893(f892(f885(x34271),f885(x34271)),a878)))
% 198.12/198.39 [3428]E(f337(f337(f81(a884),x34281),f337(a115,x34282)),f337(a115,f337(f337(f81(a884),x34281),x34282)))
% 198.12/198.39 [3441]E(f203(f337(f103(a1),x34411),f337(f103(a1),x34412)),f337(f103(a1),f337(f337(f22(a884),x34411),x34412)))
% 198.12/198.39 [3444]E(f337(f337(f39(a1),f337(f80(a1),x34441)),x34442),f337(f337(f39(a1),x34441),f337(f80(a1),x34442)))
% 198.12/198.39 [3448]E(f337(f38(a1),f337(f307(a1,x34481),x34482)),f337(a107,f337(f337(f22(a1),x34482),x34481)))
% 198.12/198.39 [3451]E(f337(f337(f81(a884),f337(a115,x34511)),x34512),f337(a115,f337(f337(f81(a884),x34511),x34512)))
% 198.12/198.39 [3456]E(f337(f80(f893(x34561,a878)),f337(f80(f893(x34561,a878)),x34562)),x34562)
% 198.12/198.39 [3470]E(f183(x34701,f337(f337(f153(f885(x34701)),f116(x34701)),x34702)),f183(x34701,x34702))
% 198.12/198.39 [3474]E(f337(f337(f81(a884),x34741),f337(f337(f82(a884),x34741),x34742)),f337(f337(f82(a884),x34741),f337(a115,x34742)))
% 198.12/198.39 [3482]E(f337(f337(a23,f337(a3,x34821)),f337(a3,x34822)),f337(a3,f337(f337(f22(a884),x34821),x34822)))
% 198.12/198.39 [3496]E(f337(f337(f82(a1),f337(f80(a1),x34961)),x34962),f337(f80(a1),f337(f337(f82(a1),x34961),x34962)))
% 198.12/198.39 [3498]E(f337(f337(f262(a1),f337(f103(a1),x34981)),x34982),f337(f103(a1),f337(f337(f262(a884),x34981),x34982)))
% 198.12/198.39 [3499]E(f337(f337(f82(a102),f337(a3,x34991)),f337(a3,x34992)),f337(a3,f337(f337(f82(a884),x34991),x34992)))
% 198.12/198.39 [3500]E(f337(f337(f81(a102),f337(a3,x35001)),f337(a3,x35002)),f337(a3,f337(f337(f81(a884),x35001),x35002)))
% 198.12/198.39 [3501]E(f337(f337(f249(a884),f337(a115,x35011)),f337(a115,x35012)),f337(a115,f337(f337(f249(a884),x35011),x35012)))
% 198.12/198.39 [3502]E(f337(f337(f250(a884),f337(a115,x35021)),f337(a115,x35022)),f337(a115,f337(f337(f250(a884),x35021),x35022)))
% 198.12/198.39 [3508]E(f337(f175(a884),f141(a884,f337(f307(a884,x35081),x35082))),f337(f307(a884,x35081),x35082))
% 198.12/198.39 [3509]E(f318(x35091,f337(f337(f315(x35091),x35092),f197(f893(x35091,a878)))),x35092)
% 198.12/198.39 [3514]E(f337(f268(x35141,x35142),f197(f893(f892(x35141,x35142),a878))),f197(f893(x35142,a878)))
% 198.12/198.39 [3515]E(f337(f270(x35151,x35152),f197(f893(f892(x35151,x35152),a878))),f197(f893(x35151,a878)))
% 198.12/198.39 [3519]E(f337(a107,f337(f337(f22(a1),x35191),x35192)),f337(f38(a1),f310(a1,x35192,x35191)))
% 198.12/198.39 [3524]E(f337(f337(f81(a884),x35241),f337(f337(f82(a884),x35242),x35241)),f337(f337(f82(a884),f337(a115,x35242)),x35241))
% 198.12/198.39 [3526]E(f337(f337(f61(x35261),f197(f893(x35261,a878))),x35262),f197(f893(f893(x35261,a878),a878)))
% 198.12/198.39 [3537]E(f337(f198(f885(a884)),f141(a884,f337(f307(a884,x35371),x35372))),f337(f337(f22(a884),x35372),x35371))
% 198.12/198.39 [3552]E(f337(f337(f113(f893(x35521,a878)),f197(f893(x35521,a878))),x35522),x35522)
% 198.12/198.39 [3553]E(f337(f337(f104(f893(x35531,a878)),f260(f893(x35531,a878))),x35532),x35532)
% 198.12/198.39 [3554]E(f337(f337(f81(a1),f337(f80(a1),x35541)),f337(f80(a1),x35542)),f337(f80(a1),f337(f337(f81(a1),x35541),x35542)))
% 198.12/198.39 [3559]E(f337(f337(f82(a1),f337(f103(a1),x35591)),f337(f103(a1),x35592)),f337(f103(a1),f337(f337(f82(a884),x35591),x35592)))
% 198.12/198.39 [3560]E(f337(f337(f82(a1),f337(f106(a1),x35601)),f337(f106(a1),x35602)),f337(f106(a1),f337(f337(f82(a1),x35601),x35602)))
% 198.12/198.39 [3562]E(f337(f337(f81(a1),f337(f103(a1),x35621)),f337(f103(a1),x35622)),f337(f103(a1),f337(f337(f81(a884),x35621),x35622)))
% 198.12/198.39 [3563]E(f337(f337(f81(a1),f337(f106(a1),x35631)),f337(f106(a1),x35632)),f337(f106(a1),f337(f337(f81(a1),x35631),x35632)))
% 198.12/198.39 [3564]E(f337(f337(f39(a1),f337(f103(a1),x35641)),f337(f103(a1),x35642)),f337(f103(a1),f337(f337(f39(a884),x35641),x35642)))
% 198.12/198.39 [3583]E(f337(f337(f6(x35831,a884),f337(f16(a884,x35831),f79(a884))),x35832),f337(f38(x35831),x35832))
% 198.12/198.39 [3590]E(f337(f80(a1),f45(a1,f337(f80(a1),x35901),x35902)),f45(a1,x35901,f337(f80(a1),x35902)))
% 198.12/198.39 [3592]E(f337(f175(a1),f182(x35921,f337(f337(f22(a1),x35922),f79(a1)))),f337(f307(a1,x35921),x35922))
% 198.12/198.39 [3597]P24(f337(f337(f251(a884),x35971),f337(f337(f81(a884),x35972),x35971)))
% 198.12/198.39 [3598]P24(f337(f337(f251(a884),x35981),f337(f337(f81(a884),x35981),x35982)))
% 198.12/198.39 [3600]E(f337(f337(f113(f893(x36001,a878)),f260(f893(x36001,a878))),x36002),f260(f893(x36001,a878)))
% 198.12/198.39 [3601]E(f337(f337(f22(f893(x36011,a878)),f197(f893(x36011,a878))),x36012),f197(f893(x36011,a878)))
% 198.12/198.39 [3602]E(f337(f337(f104(f893(x36021,a878)),f197(f893(x36021,a878))),x36022),f197(f893(x36021,a878)))
% 198.12/198.39 [3610]E(f337(f337(f272(a1,a1),x36101),f337(f80(a1),x36102)),f337(a51,f337(f337(f272(a1,a1),x36101),x36102)))
% 198.12/198.39 [3611]E(f337(f307(a1,f337(f337(f81(a1),x36111),f79(a1))),x36112),f311(a1,x36111,x36112))
% 198.12/198.39 [3622]E(f337(f337(f82(a884),x36221),f337(f337(f39(a884),x36222),x36221)),f337(f337(f22(a884),x36222),f45(a884,x36222,x36221)))
% 198.12/198.39 [3623]E(f337(f337(f82(a1),x36231),f337(f337(f39(a1),x36232),x36231)),f337(f337(f22(a1),x36232),f45(a1,x36232,x36231)))
% 198.12/198.39 [3627]E(f337(f175(a1),f182(f337(f337(f81(a1),x36271),f79(a1)),x36272)),f310(a1,x36271,x36272))
% 198.12/198.39 [3631]P24(f337(f337(f251(f893(x36311,a878)),x36312),x36312))
% 198.12/198.39 [3634]E(f337(f337(f113(f893(x36341,a878)),x36342),f337(f80(f893(x36341,a878)),x36342)),f260(f893(x36341,a878)))
% 198.12/198.39 [3635]E(f337(f337(f104(f893(x36351,a878)),x36352),f337(f80(f893(x36351,a878)),x36352)),f197(f893(x36351,a878)))
% 198.12/198.39 [3643]E(f337(f337(f22(a884),f337(f337(f22(a884),x36431),f79(a884))),x36432),f337(f337(f22(a884),x36431),f337(a115,x36432)))
% 198.12/198.39 [3648]E(f337(f337(f22(f893(x36481,a878)),f260(f893(x36481,a878))),x36482),f337(f80(f893(x36481,a878)),x36482))
% 198.12/198.39 [3649]E(f337(f337(f22(a1),f337(f106(a1),x36491)),f337(f106(a1),x36492)),f337(f106(a1),f337(f337(f81(a1),x36491),f337(f80(a1),x36492))))
% 198.12/198.39 [3662]E(f337(f175(a884),f141(a884,f337(f307(a884,x36621),f337(a115,x36622)))),f308(a884,x36621,x36622))
% 198.12/198.39 [3674]E(f337(f198(f885(f885(x36741))),f54(x36741,x36742)),f337(f337(f262(a884),f337(a115,f337(a115,f2(a884)))),f337(f198(f885(x36741)),x36742)))
% 198.12/198.39 [3695]E(f337(f337(f192(f892(x36951,x36951),a878),f2(a884)),x36952),f313(x36951,f197(f893(f892(x36951,x36951),a878))))
% 198.12/198.39 [3699]P24(f337(f139(a884),f141(a884,f337(f307(a884,x36991),x36992))))
% 198.12/198.39 [3716]E(f337(f316(a1,a884,a107),f308(a1,f337(f103(a1),x37161),f337(f103(a1),x37162))),f308(a884,x37161,x37162))
% 198.12/198.39 [3726]E(f194(a884,f2(a884),f5(a884),f337(f337(f22(a884),x37261),x37262)),f337(f337(f22(a884),x37261),f337(a115,x37262)))
% 198.12/198.39 [3727]E(f337(a107,f337(f337(f22(a1),x37271),f337(f337(f81(a1),x37272),f79(a1)))),f337(f38(a1),f311(a1,x37272,x37271)))
% 198.12/198.39 [3763]E(f337(f337(f156(a884,a884),a115),f141(a884,f337(f307(a884,x37631),x37632))),f141(a884,f337(f307(a884,f337(a115,x37631)),f337(a115,x37632))))
% 198.12/198.39 [3771]E(f337(f175(a1),f182(f337(f337(f81(a1),x37711),f79(a1)),f337(f337(f22(a1),x37712),f79(a1)))),f311(a1,x37711,x37712))
% 198.12/198.39 [3782]P24(f337(f337(f251(f893(x37821,a878)),f197(f893(x37821,a878))),x37822))
% 198.12/198.39 [3787]E(f86(x37871,f337(f337(f7(x37871,x37871,a878),a334),x37872)),x37872)
% 198.12/198.39 [3788]E(f91(x37881,f337(f337(f7(x37881,x37881,a878),a334),x37882)),x37882)
% 198.12/198.39 [3792]E(f337(f175(a884),f141(a884,f337(f307(a884,f337(a115,x37921)),f337(a115,x37922)))),f310(a884,x37921,x37922))
% 198.12/198.39 [3819]E(f337(f337(f274(x38191,x38192),f260(f893(x38191,a878))),f337(f16(f893(x38192,a878),x38191),f260(f893(x38192,a878)))),f260(f893(f892(x38191,x38192),a878)))
% 198.12/198.39 [3855]E(f337(f257(x38551),f337(f337(f8(a878,a878,x38551),a332),x38552)),f337(f80(f893(x38551,a878)),f337(f257(x38551),x38552)))
% 198.12/198.39 [3858]E(f337(f257(x38581),f337(f337(f7(x38581,x38581,a878),a334),x38582)),f337(f337(f315(x38581),x38582),f197(f893(x38581,a878))))
% 198.12/198.39 [3865]E(f337(f337(f81(a1),f337(f337(f22(a1),x38651),x38652)),f337(f337(f22(a1),x38651),x38652)),f337(f337(f22(a1),f337(f337(f81(a1),x38651),x38651)),f337(f337(f81(a1),x38652),x38652)))
% 198.12/198.39 [3866]E(f337(f337(f81(a1),f337(f337(f81(a1),x38661),x38661)),f337(f337(f81(a1),x38662),x38662)),f337(f337(f81(a1),f337(f337(f81(a1),x38661),x38662)),f337(f337(f81(a1),x38661),x38662)))
% 198.12/198.39 [3882]P24(f337(f337(f251(a884),f337(f38(x38821),f337(f175(x38821),x38822))),f337(f198(f885(x38821)),x38822)))
% 198.12/198.39 [3883]P24(f337(f337(f251(a884),f337(f198(f885(x38831)),f154(x38831,x38832))),f337(f198(f885(x38831)),x38832)))
% 198.12/198.39 [3894]E(f337(f257(x38941),f337(f337(f7(x38941,f893(x38941,a878),a878),f339(x38941)),x38942)),x38942)
% 198.12/198.39 [3910]E(f337(f337(f178(x39101),f337(f337(f22(a884),f337(f198(f885(x39101)),x39102)),f79(a884))),x39102),f117(x39101,x39102))
% 198.12/198.39 [3933]E(f194(a884,f2(a884),f337(f337(f8(a884,a884,a884),a115),f337(f249(a884),x39331)),x39332),f337(f337(f249(a884),f337(a115,x39331)),x39332))
% 198.12/198.39 [3937]E(f40(f893(x39371,a878),f337(f316(f893(f892(x39371,x39371),a878),f893(x39371,a878),f290(x39371)),x39372)),f337(f290(x39371),f40(f893(f892(x39371,x39371),a878),x39372)))
% 198.12/198.39 [3938]E(f194(a884,f337(a115,x39381),f337(f337(f8(a884,a884,a884),a115),f337(f250(a884),x39381)),x39382),f337(f337(f250(a884),f337(a115,x39381)),x39382))
% 198.12/198.39 [3940]E(f337(f337(f272(a1,a1),f337(f337(f39(a1),f337(f76(a1),x39401)),f337(f76(a1),x39402))),f45(a1,f337(f76(a1),x39401),f337(f76(a1),x39402))),f53(x39401,x39402))
% 198.12/198.39 [3963]P24(f337(f337(f251(f893(f893(x39631,a878),a878)),x39632),f337(f314(x39631),f40(f893(x39631,a878),x39632))))
% 198.12/198.39 [3998]E(f337(f337(f42(x39981,f893(x39981,a878)),x39982),f337(f337(f7(x39981,f893(x39981,a878),f893(x39981,a878)),f315(x39981)),f197(f893(x39981,a878)))),x39982)
% 198.12/198.39 [3999]E(f337(f337(f294(x39991,x39991,x39991),f337(f292(x39991,x39991),x39992)),f313(x39991,f337(f292(x39991,x39991),x39992))),f337(f292(x39991,x39991),f337(f337(f294(x39991,x39991,x39991),x39992),f313(x39991,x39992))))
% 198.12/198.39 [4067]E(f337(f175(x40671),f337(f144(f885(x40671),f885(x40671),f136(x40671),f116(x40671)),x40672)),f337(f337(f42(f885(x40671),f893(x40671,a878)),f337(f175(f885(x40671)),x40672)),f175(x40671)))
% 198.12/198.39 [4100]E(f337(f337(f113(f893(f892(x41001,x41001),a878)),f313(x41001,f197(f893(f892(x41001,x41001),a878)))),f337(f337(f294(x41001,x41001,x41001),f313(x41001,x41002)),x41002)),f313(x41001,x41002))
% 198.12/198.39 [4136]E(f337(f337(f185(x41361,x41361),x41362),x41362),f337(f337(f156(x41361,f892(x41361,x41361)),f337(f337(f18(x41361,x41361,f892(x41361,x41361)),f272(x41361,x41361)),f5(x41361))),x41362))
% 198.12/198.39 [4255]E(f337(f144(a884,f885(x42551),f337(f7(f885(x42551),a884,a884),f337(f337(f8(a884,f893(a884,a884),f885(x42551)),f250(a884)),f198(f885(x42551)))),f2(a884)),f337(f171(f885(x42551)),x42552)),f337(f198(f885(f885(x42551))),f183(x42551,x42552)))
% 198.12/198.39 [4333]E(f337(f337(f293(f892(a884,f885(x43331)),f885(x43331)),f330(a884,f885(x43331),a256,f147(x43331,x43332))),f337(f337(f18(f885(x43331),f885(x43331),f892(a884,f885(x43331))),f337(f337(f8(a884,f893(f885(x43331),f892(a884,f885(x43331))),f885(x43331)),f272(a884,f885(x43331))),f198(f885(x43331)))),f5(f885(x43331)))),f148(x43331,x43332))
% 198.12/198.39 [4464]E(f337(f257(x44641),f337(f337(f8(f893(f893(x44641,a878),a878),a878,x44641),f89(f893(x44641,a878))),f337(f337(f8(f893(f893(x44641,a878),a878),f893(f893(x44641,a878),a878),x44641),f337(f18(f893(x44641,a878),a878,a878),f337(f337(f8(a878,f893(a878,a878),f893(x44641,a878)),a340),f337(f337(f7(f893(x44641,a878),f893(f893(x44641,a878),a878),a878),f339(f893(x44641,a878))),x44642)))),f339(x44641)))),f41(f893(x44641,a878),x44642))
% 198.12/198.39 [4610]~P24(f337(f337(f252(a1),f337(f103(a1),x46101)),f337(f80(a1),f337(f103(a1),x46102))))
% 198.12/198.39 [4626]~P24(f337(f337(f92(a1),f337(f337(f22(a1),f337(f337(f81(a1),x46261),x46261)),a100)),f337(f337(f81(a1),x46262),x46262)))
% 198.12/198.39 [3522]E(f337(f337(f22(a884),f337(f337(f81(a884),x35221),x35222)),x35222),x35221)
% 198.12/198.39 [3523]E(f337(f337(f22(a884),f337(f337(f81(a884),x35231),x35232)),x35231),x35232)
% 198.12/198.39 [3591]E(f337(f337(f81(a884),f337(f337(f22(a884),x35911),x35912)),x35912),f337(f337(f250(a884),x35911),x35912))
% 198.12/198.39 [3702]E(f337(f337(f82(a884),f337(f337(f39(a884),x37021),x37022)),x37022),f337(f337(f22(a884),x37021),f45(a884,x37021,x37022)))
% 198.12/198.39 [3731]E(f337(f175(a884),f141(a884,f337(f307(a884,f337(a115,x37311)),x37312))),f311(a884,x37311,x37312))
% 198.12/198.39 [3738]E(f337(f103(a1),f229(f337(a107,f337(f76(a1),x37381)),f337(a107,f337(f76(a1),x37382)))),f337(f337(a230,x37381),x37382))
% 198.12/198.39 [3740]E(f337(f337(f113(f893(x37401,a878)),f337(f80(f893(x37401,a878)),x37402)),x37402),f260(f893(x37401,a878)))
% 198.12/198.39 [3741]E(f337(f337(f104(f893(x37411,a878)),f337(f80(f893(x37411,a878)),x37412)),x37412),f197(f893(x37411,a878)))
% 198.12/198.39 [3759]P24(f337(f337(f251(a884),f337(f337(f22(a884),x37591),x37592)),x37591))
% 198.12/198.39 [3760]P24(f337(f337(f251(a884),f337(f337(f39(a884),x37601),x37602)),x37601))
% 198.12/198.39 [3784]P24(f337(f337(f252(a884),x37841),f337(a115,f337(f337(f81(a884),x37842),x37841))))
% 198.12/198.39 [3785]P24(f337(f337(f252(a884),x37851),f337(a115,f337(f337(f81(a884),x37851),x37852))))
% 198.12/198.39 [3803]E(f337(f337(f82(a884),f337(a107,f337(f76(a1),x38031))),f337(a107,f337(f76(a1),x38032))),f337(a107,f337(f76(a1),f337(f337(f82(a1),x38031),x38032))))
% 198.12/198.39 [3815]P24(f337(f337(f251(a1),f2(a1)),f337(f337(f262(a1),f337(f76(a1),x38151)),x38152)))
% 198.12/198.39 [3887]E(f337(f291(f885(x38871),f885(x38871),f160(x38871,x38872)),f337(f337(f315(f885(x38871)),f116(x38871)),f197(f893(f885(x38871),a878)))),f337(f337(f315(f885(x38871)),f116(x38871)),f197(f893(f885(x38871),a878))))
% 198.12/198.39 [3908]E(f337(f337(f113(f893(f892(x39081,x39081),a878)),f313(x39081,x39082)),f313(x39081,f197(f893(f892(x39081,x39081),a878)))),f313(x39081,x39082))
% 198.12/198.39 [3923]E(f337(f337(f39(a1),f337(f106(a1),f337(f337(f81(a1),x39231),x39231))),f337(f106(a1),f337(f337(f81(a1),x39232),x39232))),f337(f337(f39(a1),f337(f106(a1),x39231)),f337(f106(a1),x39232)))
% 198.12/198.39 [3988]E(f337(f337(f262(a1),x39881),f337(f106(a884),f337(f337(f81(a1),x39882),x39882))),f337(f337(f87(a1,a1),f337(f337(f262(a1),x39881),f337(f106(a884),x39882))),f337(f337(f18(a1,a1,a1),f82(a1)),f5(a1))))
% 198.12/198.39 [3994]E(f337(f257(f893(x39941,a878)),f337(f337(f7(f893(x39941,a878),f893(x39941,a878),a878),f251(f893(x39941,a878))),x39942)),f337(f314(x39941),x39942))
% 198.12/198.39 [4009]E(f337(f337(f156(a1,a884),a107),f337(f337(f136(a1),f337(f337(f156(a884,a1),f103(a1)),x40091)),f337(f337(f156(a884,a1),f103(a1)),x40092))),f337(f337(f136(a884),x40091),x40092))
% 198.12/198.39 [4044]E(f337(f316(a1,a1,f337(f337(f7(a1,a1,a1),f81(a1)),x40441)),f337(f307(a1,f2(a1)),f337(f337(f22(a1),x40442),x40441))),f337(f307(a1,x40441),x40442))
% 198.12/198.39 [4046]P43(x40461,f337(f337(f22(f893(f892(x40461,x40461),a878)),x40462),f313(x40461,f197(f893(f892(x40461,x40461),a878)))))
% 198.12/198.39 [4065]E(f337(f198(f885(x40651)),f337(f144(f885(x40651),f885(x40651),f136(x40651),f116(x40651)),x40652)),f337(f168(a884),f337(f337(f156(f885(x40651),a884),f198(f885(x40651))),x40652)))
% 198.12/198.39 [4070]P41(x40701,f260(f893(x40701,a878)),f337(f337(f113(f893(f892(x40701,x40701),a878)),x40702),f313(x40701,f197(f893(f892(x40701,x40701),a878)))))
% 198.12/198.39 [4116]E(f194(a884,f2(a884),f337(f337(f8(a884,a884,a884),a115),f337(f337(f7(a884,a884,a884),f249(a884)),x41161)),x41162),f337(f337(f249(a884),x41162),f337(a115,x41161)))
% 198.12/198.39 [4119]E(f194(a884,f337(a115,x41191),f337(f337(f8(a884,a884,a884),a115),f337(f337(f7(a884,a884,a884),f250(a884)),x41191)),x41192),f337(f337(f250(a884),x41192),f337(a115,x41191)))
% 198.12/198.39 [4122]E(f337(f316(x41221,f885(x41221),f337(f337(f7(x41221,f885(x41221),f885(x41221)),f153(x41221)),f116(x41221))),x41222),f177(x41221,x41222,f337(f337(f315(f885(x41221)),f116(x41221)),f197(f893(f885(x41221),a878)))))
% 198.12/198.39 [4123]E(f337(f337(f113(f893(f892(x41231,x41231),a878)),f337(f337(f294(x41231,x41231,x41231),x41232),f313(x41231,x41232))),f313(x41231,f197(f893(f892(x41231,x41231),a878)))),f313(x41231,x41232))
% 198.12/198.39 [4131]P24(f337(f337(f251(f893(f892(x41311,x41311),a878)),f269(x41311,x41312)),f337(f337(f274(x41311,x41311),x41312),f337(f16(f893(x41311,a878),x41311),x41312))))
% 198.12/198.39 [4134]E(f337(f316(a1,a884,a107),f337(f337(f113(f893(a1,a878)),f337(f316(a884,a1,f103(a1)),x41341)),f337(f316(a884,a1,f103(a1)),x41342))),f337(f337(f113(f893(a884,a878)),x41341),x41342))
% 198.12/198.39 [4135]E(f337(f316(a1,a884,a107),f337(f337(f104(f893(a1,a878)),f337(f316(a884,a1,f103(a1)),x41351)),f337(f316(a884,a1,f103(a1)),x41352))),f337(f337(f104(f893(a884,a878)),x41351),x41352))
% 198.12/198.39 [4139]E(f337(f257(x41391),f337(f337(f8(a878,a878,x41391),a332),f337(f337(f7(x41391,f893(x41391,a878),a878),f339(x41391)),x41392))),f337(f80(f893(x41391,a878)),x41392))
% 198.12/198.39 [4166]E(f337(f144(f885(x41661),f885(x41661),f136(x41661),f116(x41661)),f337(f337(f156(f885(x41661),f885(x41661)),f171(x41661)),f337(f171(f885(x41661)),x41662))),f337(f171(x41661),f337(f144(f885(x41661),f885(x41661),f136(x41661),f116(x41661)),x41662)))
% 198.12/198.39 [4197]E(f337(f337(f42(a884,f893(f892(x41971,x41971),a878)),f260(f893(a884,a878))),f337(f337(f7(a884,f893(f892(x41971,x41971),a878),f893(f892(x41971,x41971),a878)),f192(f892(x41971,x41971),a878)),x41972)),f313(x41971,x41972))
% 198.12/198.39 [4217]E(f86(x42171,f337(f337(f8(f893(x42171,a878),a878,x42171),f337(a334,x42172)),f337(f337(f7(x42171,f893(x42171,a878),f893(x42171,a878)),f315(x42171)),f197(f893(x42171,a878))))),f318(x42171,x42172))
% 198.12/198.39 [4225]E(f337(f198(f885(x42251)),f154(x42251,f337(f144(f885(x42251),f885(x42251),f136(x42251),f116(x42251)),x42252))),f337(f38(x42251),f337(f337(f42(f885(x42251),f893(x42251,a878)),f337(f175(f885(x42251)),x42252)),f175(x42251))))
% 198.12/198.39 [4241]E(f337(f337(f113(f893(f892(x42411,x42411),a878)),x42412),f337(f337(f294(x42411,x42411,x42411),f337(f337(f294(x42411,x42411,x42411),x42412),f313(x42411,x42412))),x42412)),f337(f337(f294(x42411,x42411,x42411),x42412),f313(x42411,x42412)))
% 198.12/198.39 [4265]P24(f337(f337(f251(f893(f892(x42651,x42651),a878)),f337(f337(f294(x42651,x42651,x42651),x42652),f313(x42651,x42652))),f337(f337(f274(x42651,x42651),f337(f290(x42651),x42652)),f337(f16(f893(x42651,a878),x42651),f337(f290(x42651),x42652)))))
% 198.12/198.39 [4308]E(f337(f257(f885(x43081)),f337(f337(f7(f885(x43081),f893(x43081,a878),a878),f337(f337(f8(f893(x43081,a878),f893(f893(x43081,a878),a878),f885(x43081)),f251(f893(x43081,a878))),f175(x43081))),x43082)),f163(x43081,x43082))
% 198.12/198.39 [4320]E(f337(f158(f885(x43201),x43201,f116(x43201),f337(f337(f8(f885(x43201),f893(f885(x43201),f885(x43201)),x43201),f337(f7(f885(x43201),f885(x43201),f885(x43201)),f136(x43201))),f337(f337(f7(x43201,f885(x43201),f885(x43201)),f153(x43201)),f116(x43201)))),x43202),f337(f170(x43201),x43202))
% 198.12/198.39 [4362]P21(f893(x43621,x43622),f893(f892(x43621,x43622),a878),f337(f337(f8(f893(f892(x43621,x43622),a878),f893(f892(x43621,x43622),a878),f893(x43621,x43622)),f257(f892(x43621,x43622))),f337(f337(f8(f893(x43621,f893(x43622,a878)),f893(f892(x43621,x43622),a878),f893(x43621,x43622)),f276(x43621,x43622,a878)),f337(f8(x43622,f893(x43622,a878),x43621),f337(f7(x43622,x43622,a878),a334)))),f260(f893(f893(x43621,x43622),a878)))
% 198.12/198.39 [4367]E(f45(a1,f337(f106(a1),f337(f337(f81(a1),x43671),x43671)),f337(f106(a1),f337(f337(f81(a1),x43672),x43672))),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f45(a1,f337(f106(a1),x43671),f337(f106(a1),x43672))))
% 198.12/198.39 [4411]E(f337(f337(f42(x44111,f893(f892(x44111,x44111),a878)),x44112),f337(f337(f7(x44111,f893(f892(x44111,x44111),a878),f893(f892(x44111,x44111),a878)),f337(f337(f8(f892(x44111,x44111),f893(f893(f892(x44111,x44111),a878),f893(f892(x44111,x44111),a878)),x44111),f315(f892(x44111,x44111))),f337(f337(f18(x44111,x44111,f892(x44111,x44111)),f272(x44111,x44111)),f5(x44111)))),f197(f893(f892(x44111,x44111),a878)))),f269(x44111,x44112))
% 198.12/198.39 [4419]E(f215(x44191,f337(f337(f272(a1,a1),f337(f80(a1),f337(f337(f74(f892(a1,a1),a1,x44191,f271(a1,a1)),f225(x44191)),x44192))),f337(f337(f74(f892(a1,a1),a1,x44191,f275(a1,a1)),f225(x44191)),x44192))),f239(x44191,x44192))
% 198.12/198.39 [4500]E(f337(f257(f893(x45001,a878)),f337(f337(f8(f893(f893(x45001,a878),a878),a878,f893(x45001,a878)),f88(f893(x45001,a878))),f337(f337(f7(f893(x45001,a878),f893(f893(x45001,a878),a878),f893(f893(x45001,a878),a878)),f337(f337(f8(f893(f893(x45001,a878),f893(a878,a878)),f893(f893(f893(x45001,a878),a878),f893(f893(x45001,a878),a878)),f893(x45001,a878)),f18(f893(x45001,a878),a878,a878)),f337(f337(f8(f893(f893(x45001,a878),a878),f893(f893(x45001,a878),f893(a878,a878)),f893(x45001,a878)),f337(f8(a878,f893(a878,a878),f893(x45001,a878)),a335)),f337(f337(f7(f893(x45001,a878),f893(f893(x45001,a878),f893(x45001,a878)),f893(f893(x45001,a878),a878)),f337(f337(f8(f893(f893(x45001,a878),a878),f893(f893(f893(x45001,a878),f893(x45001,a878)),f893(f893(x45001,a878),a878)),f893(x45001,a878)),f8(f893(x45001,a878),a878,f893(x45001,a878))),a334)),f80(f893(x45001,a878)))))),f337(f337(f8(f893(f893(x45001,a878),a878),a878,f893(x45001,a878)),f337(f339(f893(x45001,a878)),x45002)),f314(x45001))))),f337(f314(x45001),f337(f80(f893(x45001,a878)),x45002)))
% 198.12/198.39 [4607]~E(f337(f337(f81(a1),x46071),x46071),f337(f337(f22(a1),f337(f337(f81(a1),x46072),x46072)),a100))
% 198.12/198.39 [4613]~P24(f337(f337(f252(a884),f337(f337(f81(a884),x46131),x46132)),x46132))
% 198.12/198.39 [4614]~P24(f337(f337(f252(a884),f337(f337(f81(a884),x46141),x46142)),x46141))
% 198.12/198.39 [3820]E(f337(f337(f22(a884),x38201),f337(f337(f82(a884),f337(f337(f39(a884),x38201),x38202)),x38202)),f45(a884,x38201,x38202))
% 198.12/198.39 [3821]E(f337(f337(f22(a1),x38211),f337(f337(f82(a1),f337(f337(f39(a1),x38211),x38212)),x38212)),f45(a1,x38211,x38212))
% 198.12/198.39 [3856]E(f337(f337(f156(a884,x38561),f337(f167(x38561),x38562)),f141(a884,f337(f307(a884,f2(a884)),f337(f198(f885(x38561)),x38562)))),x38562)
% 198.12/198.39 [3919]E(f337(f291(x39191,x39191,f313(x39191,f197(f893(f892(x39191,x39191),a878)))),x39192),x39192)
% 198.12/198.39 [4049]E(f313(x40491,f337(f337(f113(f893(f892(x40491,x40491),a878)),x40492),f313(x40491,f197(f893(f892(x40491,x40491),a878))))),f313(x40491,x40492))
% 198.12/198.39 [4050]E(f313(x40501,f337(f337(f22(f893(f892(x40501,x40501),a878)),x40502),f313(x40501,f197(f893(f892(x40501,x40501),a878))))),f313(x40501,x40502))
% 198.12/198.39 [4103]E(f337(f337(f22(a1),f337(f337(f22(a1),f337(f337(f81(a1),x41031),x41031)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x41032),x41032)),a100)),f337(f337(f81(a1),f337(f337(f22(a1),x41031),x41032)),f337(f337(f22(a1),x41031),x41032)))
% 198.12/198.39 [4144]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f81(a1),x41441),x41442)),f337(f337(f81(a1),x41441),x41442))),a100),f337(f337(f81(a1),f337(f337(f81(a1),x41441),x41441)),f337(f337(f22(a1),f337(f337(f81(a1),x41442),x41442)),a100)))
% 198.12/198.39 [4170]E(f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),x41701),x41701)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x41702),x41702)),a100)),f337(f337(f81(a1),f337(f337(f81(a1),x41701),f337(f337(f22(a1),x41702),a100))),f337(f337(f81(a1),x41701),f337(f337(f22(a1),x41702),a100))))
% 198.12/198.39 [4181]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),x41811),x41812)),f337(f337(f22(a1),x41811),x41812))),a100),f337(f337(f22(a1),f337(f337(f22(a1),f337(f337(f81(a1),x41811),x41811)),a100)),f337(f337(f81(a1),x41812),x41812)))
% 198.12/198.39 [4182]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f81(a1),x41821),x41822)),f337(f337(f81(a1),x41821),x41822))),a100),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),x41821),x41821)),a100)),f337(f337(f81(a1),x41822),x41822)))
% 198.12/198.39 [4238]E(f337(f103(a1),f337(f337(f39(a884),f337(f337(f82(a884),f337(a107,f337(f76(a1),x42381))),f337(a107,f337(f76(a1),x42382)))),f229(f337(a107,f337(f76(a1),x42381)),f337(a107,f337(f76(a1),x42382))))),f231(x42381,x42382))
% 198.12/198.39 [4285]E(f337(f337(f278(f892(a102,a102),a102,f892(a102,a102),f892(x42851,f892(a102,a102))),f282(f337(a3,f337(f198(f885(x42851)),x42852)))),f337(f337(f8(x42851,f893(f892(a102,a102),f892(x42851,f892(a102,a102))),a102),f272(x42851,f892(a102,a102))),f337(f337(f8(a884,x42851,a102),f337(f167(x42851),x42852)),a19))),f288(x42851,x42852))
% 198.12/198.39 [4368]E(f337(f144(a884,f885(x43681),f337(f7(f885(x43681),a884,a884),f337(f337(f8(a884,f893(a884,a884),f885(x43681)),f250(a884)),f198(f885(x43681)))),f2(a884)),f337(f171(f885(x43681)),f183(x43681,x43682))),f337(f198(f885(f885(x43681))),f337(f138(f885(x43681),f337(f337(f8(a878,a878,f885(x43681)),a332),f337(f337(f7(f885(x43681),f885(x43681),a878),a334),f116(x43681)))),x43682)))
% 198.12/198.39 [4374]E(f337(f337(f42(a884,f893(x43741,a878)),f260(f893(a884,a878))),f337(f337(f7(a884,f893(a884,f893(x43741,a878)),f893(x43741,a878)),f337(f337(f8(f893(a884,a878),f893(f893(a884,f893(x43741,a878)),f893(x43741,a878)),a884),f42(a884,f893(x43741,a878))),f307(a884,f2(a884)))),x43742)),f337(f337(f42(a884,f893(x43741,a878)),f260(f893(a884,a878))),x43742))
% 198.12/198.39 [4395]P24(f337(f62(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),x43951)),f337(f337(f7(a884,a884,a878),f252(a884)),x43952)))))
% 198.12/198.39 [4511]E(f337(f257(f892(f885(x45111),f885(x45111))),f337(f276(f885(x45111),f885(x45111),a878),f337(f337(f18(f885(x45111),f893(f885(x45111),a878),f893(f885(x45111),a878)),f337(f337(f8(f893(f885(x45111),f893(a878,a878)),f893(f893(f885(x45111),a878),f893(f885(x45111),a878)),f885(x45111)),f18(f885(x45111),a878,a878)),f337(f337(f8(f893(f885(x45111),a878),f893(f885(x45111),f893(a878,a878)),f885(x45111)),f337(f8(a878,f893(a878,a878),f885(x45111)),a336)),f337(f337(f7(f885(x45111),f893(f885(x45111),a884),f893(f885(x45111),a878)),f337(f337(f8(f893(a884,a878),f893(f893(f885(x45111),a884),f893(f885(x45111),a878)),f885(x45111)),f8(a884,a878,f885(x45111))),f337(f337(f8(a884,f893(a884,a878),f885(x45111)),f252(a884)),f198(f885(x45111))))),f198(f885(x45111)))))),f337(f337(f18(f885(x45111),f893(f885(x45111),a878),f893(f885(x45111),a878)),f337(f337(f8(f893(f885(x45111),f893(a878,a878)),f893(f893(f885(x45111),a878),f893(f885(x45111),a878)),f885(x45111)),f18(f885(x45111),a878,a878)),f337(f337(f8(f893(f885(x45111),a878),f893(f885(x45111),f893(a878,a878)),f885(x45111)),f337(f8(a878,f893(a878,a878),f885(x45111)),a335)),f337(f337(f7(f885(x45111),f893(f885(x45111),a884),f893(f885(x45111),a878)),f337(f337(f8(f893(a884,a878),f893(f893(f885(x45111),a884),f893(f885(x45111),a878)),f885(x45111)),f8(a884,a878,f885(x45111))),f337(f337(f8(a884,f893(a884,a878),f885(x45111)),a334),f198(f885(x45111))))),f198(f885(x45111)))))),f337(f337(f7(f885(x45111),f893(f892(f885(x45111),f885(x45111)),a878),f893(f885(x45111),a878)),f337(f337(f8(f893(f885(x45111),f893(f893(f892(f885(x45111),f885(x45111)),a878),a878)),f893(f893(f892(f885(x45111),f885(x45111)),a878),f893(f885(x45111),a878)),f885(x45111)),f7(f885(x45111),f893(f892(f885(x45111),f885(x45111)),a878),a878)),f337(f337(f8(f893(f885(x45111),f892(f885(x45111),f885(x45111))),f893(f885(x45111),f893(f893(f892(f885(x45111),f885(x45111)),a878),a878)),f885(x45111)),f337(f8(f892(f885(x45111),f885(x45111)),f893(f893(f892(f885(x45111),f885(x45111)),a878),a878),f885(x45111)),f339(f892(f885(x45111),f885(x45111))))),f272(f885(x45111),f885(x45111))))),f147(x45111,x45112)))))),f148(x45111,x45112))
% 198.12/198.39 [4619]~P24(f337(f337(f92(a1),f337(f337(f81(a1),x46191),x46191)),f337(f337(f22(a1),f337(f337(f81(a1),x46192),x46192)),a100)))
% 198.12/198.39 [4173]E(f337(f337(f81(a1),f337(f337(f81(a1),f337(f337(f82(a1),x41731),x41732)),f337(f337(f82(a1),x41731),x41732))),x41732),f337(f337(f82(a1),f337(f337(f22(a1),f337(f337(f81(a1),x41731),x41731)),a100)),x41732))
% 198.12/198.39 [4283]E(f337(a107,f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x42831),x42832)),f197(f893(f892(a884,a884),a878)))))),f337(f337(f22(a884),x42831),x42832))
% 198.12/198.39 [4288]E(f337(f337(f294(x42881,x42881,x42881),f337(f337(f113(f893(f892(x42881,x42881),a878)),x42882),f313(x42881,f197(f893(f892(x42881,x42881),a878))))),f313(x42881,f337(f337(f113(f893(f892(x42881,x42881),a878)),x42882),f313(x42881,f197(f893(f892(x42881,x42881),a878)))))),f313(x42881,x42882))
% 198.12/198.39 [4326]E(f283(x43261,f337(f138(f892(a102,x43261),f337(f276(a102,x43261,a878),f337(f337(f8(a878,f893(x43261,a878),a102),f16(a878,x43261)),f337(f252(a102),f2(a102))))),x43262)),f283(x43261,x43262))
% 198.12/198.39 [4327]E(f281(x43271,f337(f138(f892(a102,x43271),f337(f276(a102,x43271,a878),f337(f337(f8(a878,f893(x43271,a878),a102),f16(a878,x43271)),f337(f252(a102),f2(a102))))),x43272)),f281(x43271,x43272))
% 198.12/198.39 [4329]E(f337(f80(a1),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x43291),x43292)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x43292),x43291)),f197(f893(f892(a884,a884),a878))))))
% 198.12/198.39 [4387]E(f337(f337(f293(f885(a884),x43871),f147(a884,a256)),f337(f337(f7(x43871,f885(f893(x43871,a884)),f885(a884)),f337(f337(f8(f893(f893(x43871,a884),a884),f893(f885(f893(x43871,a884)),f885(a884)),x43871),f156(f893(x43871,a884),a884)),f337(f7(f893(x43871,a884),x43871,a884),f5(f893(x43871,a884))))),x43872)),f155(x43871,x43872))
% 198.12/198.39 [4408]E(f337(f337(f87(a1,a884),f337(f106(a1),f337(f337(f81(a1),x44081),a100))),f337(f337(f18(a1,a884,a884),f337(f337(f7(a1,a884,f893(a884,a884)),f337(f337(f8(a878,f893(a884,f893(a884,a884)),a1),f99(a884)),a202)),f2(a884))),f337(f337(f8(a884,a884,a1),a115),f337(f337(f8(a884,a884,a1),f337(f249(a884),x44082)),a107)))),f337(f337(f249(a884),f337(a115,x44082)),f337(f106(a884),x44081)))
% 198.12/198.39 [4409]E(f337(f337(f87(a1,a884),f337(f106(a1),f337(f337(f81(a1),x44091),a100))),f337(f337(f18(a1,a884,a884),f337(f337(f7(a1,a884,f893(a884,a884)),f337(f337(f8(a878,f893(a884,f893(a884,a884)),a1),f99(a884)),a202)),f337(a115,x44092))),f337(f337(f8(a884,a884,a1),a115),f337(f337(f8(a884,a884,a1),f337(f250(a884),x44092)),a107)))),f337(f337(f250(a884),f337(a115,x44092)),f337(f106(a884),x44091)))
% 198.12/198.39 [4429]E(f337(f144(f885(x44291),f885(x44291),f136(x44291),f116(x44291)),f337(f337(f156(f885(x44291),f885(x44291)),f158(f885(x44291),x44291,f116(x44291),f337(f337(f8(f885(x44291),f893(f885(x44291),f885(x44291)),x44291),f16(f885(x44291),f885(x44291))),f337(f337(f7(x44291,f885(x44291),f885(x44291)),f153(x44291)),f116(x44291))))),x44292)),f337(f337(f156(f885(x44291),x44291),f143(x44291)),f337(f138(f885(x44291),f337(f337(f8(a878,a878,f885(x44291)),a332),f337(f337(f7(f885(x44291),f885(x44291),a878),a334),f116(x44291)))),x44292)))
% 198.12/198.39 [4492]E(f337(f276(a1,a1,a878),f337(f337(f7(a1,f893(a1,a878),f893(a1,a878)),f337(f337(f8(f893(a1,f893(a878,a878)),f893(f893(a1,a878),f893(a1,a878)),a1),f18(a1,a878,a878)),f337(f337(f8(f893(a1,a878),f893(a1,f893(a878,a878)),a1),f337(f8(a878,f893(a878,a878),a1),a335)),f337(f337(f8(f893(a1,a1),f893(a1,a878),a1),f337(f8(a1,a878,a1),f337(a334,x44921))),f337(f337(f8(a1,f893(a1,a1),a1),f81(a1)),f337(f82(a1),x44922)))))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),f337(a340,f337(f337(f252(a1),f2(a1)),x44922))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),f337(f337(f7(a1,a1,a878),f252(a1)),x44922))))),f337(f337(f8(a878,a878,a1),f337(a340,f337(a332,f337(f337(f252(a1),f2(a1)),x44922)))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f252(a1),x44922))),f337(f337(f7(a1,a1,a878),f251(a1)),f2(a1))))))),f49(x44921,x44922))
% 198.12/198.39 [4494]E(f337(f257(x44941),f337(f337(f8(f893(a884,a878),a878,x44941),f88(a884)),f337(f337(f7(x44941,f893(a884,a878),f893(a884,a878)),f337(f337(f8(f893(a884,f893(a878,a878)),f893(f893(a884,a878),f893(a884,a878)),x44941),f18(a884,a878,a878)),f337(f337(f8(f893(a884,a878),f893(a884,f893(a878,a878)),x44941),f337(f8(a878,f893(a878,a878),a884),a335)),f337(f337(f7(x44941,f893(a884,x44941),f893(a884,a878)),f337(f337(f8(f893(x44941,a878),f893(f893(a884,x44941),f893(a884,a878)),x44941),f8(x44941,a878,a884)),a334)),f337(f167(x44941),x44942))))),f337(f337(f7(a884,a884,a878),f252(a884)),f337(f198(f885(x44941)),x44942))))),f337(f175(x44941),x44942))
% 198.12/198.39 [4298]E(f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),x42981),a100)),x42982)),f337(f337(f22(a1),f337(f337(f81(a1),x42981),a100)),x42982))),a100),f337(f337(f22(a1),f337(f337(f81(a1),x42981),x42981)),f337(f337(f22(a1),f337(f337(f81(a1),x42982),x42982)),a100)))
% 198.12/198.39 [4424]E(f337(f144(f885(f885(x44241)),f885(f885(x44241)),f136(f885(x44241)),f116(f885(x44241))),f337(f337(f156(f885(x44241),f885(f885(x44241))),f158(f885(f885(x44241)),x44241,f116(f885(x44241)),f337(f16(f893(f885(x44241),f885(f885(x44241))),x44241),f337(f337(f7(f885(x44241),f885(f885(x44241)),f885(f885(x44241))),f153(f885(x44241))),f116(f885(x44241)))))),x44242)),f337(f337(f156(f885(x44241),f885(x44241)),f174(x44241)),f337(f138(f885(x44241),f337(f337(f8(a878,a878,f885(x44241)),a332),f337(f337(f7(f885(x44241),f885(x44241),a878),a334),f116(x44241)))),x44242)))
% 198.12/198.39 [4435]E(f337(f337(f87(a1,a884),f337(f106(a1),f337(f337(f81(a1),x44351),a100))),f337(f337(f18(a1,a884,a884),f337(f337(f7(a1,a884,f893(a884,a884)),f337(f337(f8(a878,f893(a884,f893(a884,a884)),a1),f99(a884)),a202)),f2(a884))),f337(f337(f8(a884,a884,a1),a115),f337(f337(f7(a1,a884,a884),f337(f337(f8(a884,f893(a884,a884),a1),f249(a884)),a107)),x44352)))),f337(f337(f249(a884),f337(f106(a884),x44351)),f337(a115,x44352)))
% 198.12/198.39 [4436]E(f337(f337(f87(a1,a884),f337(f106(a1),f337(f337(f81(a1),x44361),a100))),f337(f337(f18(a1,a884,a884),f337(f337(f7(a1,a884,f893(a884,a884)),f337(f337(f8(a878,f893(a884,f893(a884,a884)),a1),f99(a884)),a202)),f337(a115,x44362))),f337(f337(f8(a884,a884,a1),a115),f337(f337(f7(a1,a884,a884),f337(f337(f8(a884,f893(a884,a884),a1),f250(a884)),a107)),x44362)))),f337(f337(f250(a884),f337(f106(a884),x44361)),f337(a115,x44362)))
% 198.12/198.39 [4423]E(f337(f276(x44231,x44231,a878),f337(f337(f18(x44231,a878,f893(x44231,a878)),f337(f337(f8(f893(x44231,f893(a878,a878)),f893(a878,f893(x44231,a878)),x44231),f7(x44231,a878,a878)),f337(f337(f8(f893(x44231,a878),f893(x44231,f893(a878,a878)),x44231),f337(f8(a878,f893(a878,a878),x44231),a335)),a334))),x44232)),f269(x44231,x44232))
% 198.12/198.39 [4470]E(f337(f337(f39(a884),x44701),f337(f337(f81(a884),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),x44702)),f337(f337(f39(a884),x44701),f337(a115,f337(a115,f337(a115,x44702)))))
% 198.12/198.39 [4471]E(f45(a884,x44711,f337(f337(f81(a884),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),x44712)),f45(a884,x44711,f337(a115,f337(a115,f337(a115,x44712)))))
% 198.12/198.39 [4472]E(f45(a884,f337(f337(f81(a884),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),x44721),x44722),f45(a884,f337(a115,f337(a115,f337(a115,x44721))),x44722))
% 198.12/198.39 [4485]E(f126(f337(x44851,f337(f337(f82(a102),f337(f106(a102),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),x44852))),f337(f213(x44851),x44852))
% 198.12/198.39 [4486]E(f337(f337(f39(a884),f337(f337(f81(a884),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),x44861)),x44862),f337(f337(f39(a884),f337(a115,f337(a115,f337(a115,x44861)))),x44862))
% 198.12/198.39 [4535]~E(f33(x45351,x45352),f337(a28,x45353))
% 198.12/198.39 [4536]~E(f32(x45361,x45362),f337(a28,x45363))
% 198.12/198.39 [4537]~E(f337(a28,x45371),f33(x45372,x45373))
% 198.12/198.40 [4538]~E(f337(a28,x45381),f32(x45382,x45383))
% 198.12/198.40 [4551]~E(f30(x45511,x45512,x45513),a24)
% 198.12/198.40 [4552]~E(f29(x45521,x45522,x45523),a24)
% 198.12/198.40 [4556]~E(f130(x45561,x45562,x45563),f122(x45561))
% 198.12/198.40 [3233]E(f337(f201(x32331,x32332),x32333),f123(x32331,x32332))
% 198.12/198.40 [3255]E(f337(f212(x32551,x32552),x32553),f337(f129(x32551),x32552))
% 198.12/198.40 [3335]E(f337(f337(f156(x33351,x33352),x33353),f116(x33351)),f116(x33352))
% 198.12/198.40 [3336]E(f337(f337(f211(x33361,x33362),x33363),f210(x33361)),f210(x33362))
% 198.12/198.40 [3376]E(f337(f193(x33761,x33762,x33763),f2(a884)),x33762)
% 198.12/198.40 [3378]E(f337(f337(f185(x33781,x33782),x33783),f116(x33782)),f116(f892(x33781,x33782)))
% 198.12/198.40 [3393]E(f337(f198(f885(x33931)),f172(x33931,x33932,x33933)),x33932)
% 198.12/198.40 [3413]E(f86(x34131,f63(x34131,x34132,x34133)),f337(f64(x34131,x34132),x34133))
% 198.12/198.40 [3417]E(f261(x34171,x34172,f261(x34172,x34171,x34173)),x34173)
% 198.12/198.40 [3437]E(f337(f171(x34371),f172(x34371,x34372,x34373)),f172(x34371,x34372,x34373))
% 198.12/198.40 [3466]E(f142(x34661,x34662,f154(x34661,x34663)),f154(x34661,f142(x34661,x34662,x34663)))
% 198.12/198.40 [3485]E(f337(f271(f885(x34851),f885(x34851)),f169(x34851,x34852,x34853)),f337(f138(x34851,x34852),x34853))
% 198.12/198.40 [3533]E(f337(f337(f153(x35331),x35332),f172(x35331,x35333,x35332)),f172(x35331,f337(a115,x35333),x35332))
% 198.12/198.40 [3565]E(f194(x35651,x35652,x35653,f2(a884)),x35652)
% 198.12/198.40 [3566]E(f17(x35661,x35662,x35663,f2(a102)),x35662)
% 198.12/198.40 [3573]E(f165(x35731,x35732,x35733,f116(x35731)),f116(x35732))
% 198.12/198.40 [3574]E(f166(x35741,x35742,x35743,f116(x35741)),f116(x35742))
% 198.12/198.40 [3581]E(f337(f337(f167(x35811),f337(f337(f153(x35811),x35812),x35813)),f2(a884)),x35812)
% 198.12/198.40 [3612]E(f60(x36121,x36122,f116(x36121),x36123),f116(f892(x36121,x36122)))
% 198.12/198.40 [3633]P21(x36331,x36332,x36333,f197(f893(x36331,a878)))
% 198.12/198.40 [3794]E(f337(f74(x37941,x37942,x37941,x37943),f34(x37941)),x37943)
% 198.12/198.40 [3978]P24(f337(f337(f339(f892(x39781,x39781)),f337(f337(f272(x39781,x39781),x39782),x39782)),f313(x39781,x39783)))
% 198.12/198.40 [4620]~P24(f337(f337(f339(f892(f885(x46201),f885(x46201))),f337(f337(f272(f885(x46201),f885(x46201)),x46202),f116(x46201))),f147(x46201,x46203)))
% 198.12/198.40 [4621]~P24(f337(f337(f339(f892(f885(x46211),f885(x46211))),f337(f337(f272(f885(x46211),f885(x46211)),x46212),f116(x46211))),f149(x46211,x46213)))
% 198.12/198.40 [4622]~P24(f337(f337(f339(f892(f885(x46221),f885(x46221))),f337(f337(f272(f885(x46221),f885(x46221)),x46222),f116(x46221))),f159(x46221,x46223)))
% 198.12/198.40 [4623]~P24(f337(f337(f339(f892(f885(x46231),f885(x46231))),f337(f337(f272(f885(x46231),f885(x46231)),f116(x46231)),x46232)),f147(x46231,x46233)))
% 198.12/198.40 [4624]~P24(f337(f337(f339(f892(f885(x46241),f885(x46241))),f337(f337(f272(f885(x46241),f885(x46241)),f116(x46241)),x46242)),f159(x46241,x46243)))
% 198.12/198.40 [3310]E(f337(f337(f214(x33101),x33102),x33103),f215(x33101,f228(x33102,x33103)))
% 198.12/198.40 [3365]E(f337(f292(x33651,x33652),f337(f292(x33652,x33651),x33653)),x33653)
% 198.12/198.40 [3388]E(f337(f337(f185(x33881,x33882),f116(x33881)),x33883),f116(f892(x33881,x33882)))
% 198.12/198.40 [3391]E(f179(x33911,x33912,f337(f258(a884),x33913)),f337(f337(f178(x33911),x33913),x33912))
% 198.12/198.40 [3410]E(f154(x34101,f337(f138(x34101,x34102),x34103)),f337(f138(x34101,x34102),f154(x34101,x34103)))
% 198.12/198.40 [3411]E(f337(f268(x34111,x34112),f337(f292(x34112,x34111),x34113)),f337(f270(x34112,x34111),x34113))
% 198.12/198.40 [3412]E(f337(f270(x34121,x34122),f337(f292(x34122,x34121),x34123)),f337(f268(x34122,x34121),x34123))
% 198.12/198.40 [3429]E(f337(f138(x34291,x34292),f337(f171(x34291),x34293)),f337(f171(x34291),f337(f138(x34291,x34292),x34293)))
% 198.12/198.40 [3443]E(f337(f337(f140(x34431),x34432),f337(f174(x34431),x34433)),f337(f337(f140(x34431),f337(a115,x34432)),x34433))
% 198.12/198.40 [3461]E(f31(f29(x34611,x34612,x34613)),f337(f337(f81(a884),f31(x34613)),f337(a115,f2(a884))))
% 198.12/198.40 [3462]E(f337(f316(x34621,x34622,x34623),f197(f893(x34621,a878))),f197(f893(x34622,a878)))
% 198.12/198.40 [3463]E(f337(f291(x34631,x34632,x34633),f197(f893(x34631,a878))),f197(f893(x34632,a878)))
% 198.12/198.40 [3464]E(f337(f317(x34641,x34642,x34643),f197(f893(x34642,a878))),f197(f893(x34641,a878)))
% 198.12/198.40 [3465]E(f337(f317(x34651,x34652,x34653),f260(f893(x34652,a878))),f260(f893(x34651,a878)))
% 198.12/198.40 [3494]E(f337(f337(f315(x34941),x34942),f337(f175(x34941),x34943)),f337(f175(x34941),f142(x34941,x34942,x34943)))
% 198.12/198.40 [3506]E(f245(x35061,x35062,f337(f209(x35061),x35063)),f337(f337(f81(a884),f337(x35062,x35063)),f337(a115,f2(a884))))
% 198.12/198.40 [3585]E(f337(f198(a880),f29(x35851,x35852,x35853)),f337(f337(f81(a884),f337(f198(a880),x35853)),f337(a115,f2(a884))))
% 198.12/198.40 [3586]E(f337(f316(f892(x35861,x35862),x35862,f275(x35861,x35862)),x35863),f337(f268(x35861,x35862),x35863))
% 198.12/198.40 [3587]E(f337(f316(f892(x35871,x35872),x35871,f271(x35871,x35872)),x35873),f337(f270(x35871,x35872),x35873))
% 198.12/198.40 [3603]E(f124(x36031,x36032,x36033,f122(f887(x36031))),f122(f887(x36032)))
% 198.12/198.40 [3604]E(f337(f175(x36041),f172(x36041,f337(a115,x36042),x36043)),f337(f337(f315(x36041),x36043),f197(f893(x36041,a878))))
% 198.12/198.40 [3661]E(f337(f337(f272(x36611,x36612),f337(f271(x36611,x36612),x36613)),f337(f275(x36611,x36612),x36613)),x36613)
% 198.12/198.40 [3668]E(f337(f198(f886(x36681)),f130(x36681,x36682,x36683)),f337(f337(f81(a884),f337(f198(f886(x36681)),x36683)),f337(a115,f2(a884))))
% 198.12/198.40 [3669]E(f337(f337(f276(x36691,x36692,x36691),f16(x36691,x36692)),x36693),f337(f271(x36691,x36692),x36693))
% 198.12/198.40 [3689]E(f188(x36891,x36892,x36893,f337(f16(f887(x36892),x36891),f210(x36892))),x36893)
% 198.12/198.40 [3690]E(f188(x36901,x36902,f337(f16(f887(x36902),x36901),f210(x36902)),x36903),x36903)
% 198.12/198.40 [3747]E(f31(f30(x37471,x37472,x37473)),f337(f337(f81(a884),f337(f337(f81(a884),f31(x37472)),f31(x37473))),f337(a115,f2(a884))))
% 198.12/198.40 [3798]E(f337(f74(x37981,x37981,x37982,f34(x37981)),x37983),x37983)
% 198.12/198.40 [3806]E(f337(f337(f136(x38061),f172(x38061,x38062,x38063)),f337(f337(f153(x38061),x38063),f116(x38061))),f337(f337(f153(x38061),x38063),f172(x38061,x38062,x38063)))
% 198.12/198.40 [3911]E(f337(f198(a880),f30(x39111,x39112,x39113)),f337(f337(f81(a884),f337(f337(f81(a884),f337(f198(a880),x39112)),f337(f198(a880),x39113))),f337(a115,f2(a884))))
% 198.12/198.40 [3989]P24(f337(f337(f251(f893(x39891,a878)),f337(f175(x39891),f337(f138(x39891,x39892),x39893))),f337(f175(x39891),x39893)))
% 198.12/198.40 [4034]P24(f337(f337(f251(f893(x40341,a878)),f337(f175(x40341),f337(f337(f178(x40341),x40342),x40343))),f337(f175(x40341),x40343)))
% 198.12/198.40 [4035]P24(f337(f337(f251(f893(x40351,a878)),f337(f175(x40351),f337(f337(f140(x40351),x40352),x40353))),f337(f175(x40351),x40353)))
% 198.12/198.40 [4040]P24(f337(f337(f251(f893(x40401,a878)),f337(f175(x40401),f173(x40401,x40402,x40403))),f337(f175(x40401),x40403)))
% 198.12/198.40 [4041]P24(f337(f337(f251(f893(x40411,a878)),f337(f175(x40411),f179(x40411,x40412,x40413))),f337(f175(x40411),x40412)))
% 198.12/198.40 [4063]P21(f892(x40631,x40632),f892(x40632,x40631),f337(f276(x40631,x40632,f892(x40632,x40631)),f337(f7(x40632,x40631,f892(x40632,x40631)),f272(x40632,x40631))),x40633)
% 198.12/198.40 [4075]E(f337(f337(f337(f192(f885(x40751),f885(x40751)),f45(a884,x40752,f337(f198(f885(x40751)),x40753))),f170(x40751)),x40753),f337(f337(f337(f192(f885(x40751),f885(x40751)),x40752),f170(x40751)),x40753))
% 198.12/198.40 [4120]P24(f337(f337(f339(f892(f885(x41201),f885(x41201))),f337(f337(f272(f885(x41201),f885(x41201)),x41202),x41202)),f160(x41201,f313(x41201,x41203))))
% 198.12/198.40 [4268]E(f86(f892(x42681,x42682),f337(f337(f18(f892(x42681,x42682),x42682,a878),f337(f337(f8(x42681,f893(x42682,a878),f892(x42681,x42682)),x42683),f271(x42681,x42682))),f275(x42681,x42682))),f86(f892(x42681,x42682),f337(f276(x42681,x42682,a878),x42683)))
% 198.12/198.40 [4269]E(f91(f892(x42691,x42692),f337(f337(f18(f892(x42691,x42692),x42692,a878),f337(f337(f8(x42691,f893(x42692,a878),f892(x42691,x42692)),x42693),f271(x42691,x42692))),f275(x42691,x42692))),f91(f892(x42691,x42692),f337(f276(x42691,x42692,a878),x42693)))
% 198.12/198.40 [4305]E(f337(f337(f293(f892(a884,x43051),x43051),f330(a884,x43051,a256,x43052)),f337(f337(f18(x43051,x43051,f892(a884,x43051)),f337(f337(f8(a884,f893(x43051,f892(a884,x43051)),x43051),f272(a884,x43051)),x43053)),f5(x43051))),f331(x43051,x43053,x43052))
% 198.12/198.40 [4370]E(f337(f277(x43701,x43701,x43702,x43702,f5(x43701),f5(x43702)),x43703),x43703)
% 198.12/198.40 [4446]E(f337(f144(f885(f885(x44461)),f885(f885(x44461)),f136(f885(x44461)),f116(f885(x44461))),f337(f337(f156(f885(x44461),f885(f885(x44461))),f337(f337(f7(f885(x44461),f885(x44461),f885(f885(x44461))),f337(f337(f8(f893(x44461,f885(x44461)),f893(f885(x44461),f885(f885(x44461))),f885(x44461)),f156(x44461,f885(x44461))),f337(f7(x44461,f885(x44461),f885(x44461)),f153(x44461)))),x44462)),f55(x44461,x44463,x44462))),f55(x44461,f337(a115,x44463),x44462))
% 198.12/198.40 [4507]E(f337(f246(a884,f892(x45071,f886(x45071)),f2(a884),f337(f276(x45071,f886(x45071),a884),f337(f337(f7(x45071,a884,f893(f886(x45071),a884)),f337(f337(f8(f893(f886(x45071),f893(a884,a884)),f893(a884,f893(f886(x45071),a884)),x45071),f7(f886(x45071),a884,a884)),f337(f337(f8(f893(f886(x45071),a884),f893(f886(x45071),f893(a884,a884)),x45071),f337(f8(a884,f893(a884,a884),f886(x45071)),f81(a884))),f337(f337(f7(x45071,f893(f886(x45071),a884),f893(f886(x45071),a884)),f337(f337(f8(f893(a884,a884),f893(f893(f886(x45071),a884),f893(f886(x45071),a884)),x45071),f8(a884,a884,f886(x45071))),f337(f337(f8(a884,f893(a884,a884),x45071),f81(a884)),x45072))),f131(x45071,x45072))))),f79(a884)))),f337(f137(x45071),x45073)),f337(f131(x45071,x45072),x45073))
% 198.12/198.40 [4510]E(f337(f337(f87(a1,x45101),f231(f337(f337(f74(f892(a1,a1),a1,x45101,f275(a1,a1)),f225(x45101)),x45102),f337(f337(f74(f892(a1,a1),a1,x45101,f275(a1,a1)),f225(x45101)),x45103))),f337(f337(f18(a1,a1,x45101),f337(f337(f8(a1,f893(a1,x45101),a1),f214(x45101)),f337(f337(f18(a1,a1,a1),f337(f337(f8(a1,f893(a1,a1),a1),f81(a1)),f337(f337(f8(a1,a1,a1),f337(f82(a1),f337(f337(f74(f892(a1,a1),a1,x45101,f271(a1,a1)),f225(x45101)),x45102))),f337(f337(f7(a1,a1,a1),f39(a1)),f337(f337(f74(f892(a1,a1),a1,x45101,f275(a1,a1)),f225(x45101)),x45102))))),f337(f337(f8(a1,a1,a1),f337(f82(a1),f337(f337(f74(f892(a1,a1),a1,x45101,f271(a1,a1)),f225(x45101)),x45103))),f337(f337(f7(a1,a1,a1),f39(a1)),f337(f337(f74(f892(a1,a1),a1,x45101,f275(a1,a1)),f225(x45101)),x45103)))))),f5(a1))),f242(x45101,x45102,x45103))
% 198.12/198.40 [4547]~E(f337(f337(f153(x45471),x45472),x45473),x45473)
% 198.12/198.40 [4554]~E(f337(f337(f153(x45541),x45542),x45543),f116(x45541))
% 198.12/198.40 [4572]~E(f337(f337(f315(x45721),x45722),x45723),f197(f893(x45721,a878)))
% 198.12/198.40 [4596]~E(f337(f316(x45961,f893(x45961,a878),x45962),x45963),f337(f314(x45961),x45963))
% 198.12/198.40 [3370]E(f337(f337(f161(x33701,f116(x33701)),x33702),x33703),f116(x33701))
% 198.12/198.40 [3371]E(f337(f143(x33711),f337(f337(f153(x33711),x33712),x33713)),x33712)
% 198.12/198.40 [3372]E(f337(f174(x33721),f337(f337(f153(x33721),x33722),x33723)),x33723)
% 198.12/198.40 [3416]E(f337(f337(f140(x34161),f79(a884)),f337(f337(f153(x34161),x34162),x34163)),x34163)
% 198.12/198.40 [3450]E(f117(x34501,f337(f337(f140(x34501),x34502),x34503)),f337(f337(f140(x34501),x34502),f117(x34501,x34503)))
% 198.12/198.40 [3452]E(f337(f337(f161(x34521,x34522),x34523),f337(f337(f167(x34521),x34522),x34523)),x34522)
% 198.12/198.40 [3476]E(f337(f337(f315(x34761),x34762),f337(f337(f315(x34761),x34762),x34763)),f337(f337(f315(x34761),x34762),x34763))
% 198.12/198.40 [3487]E(f337(f337(f181(x34871,x34872),f116(f892(x34871,x34872))),x34873),f210(x34872))
% 198.12/198.40 [3490]E(f337(f337(f315(x34901),x34902),f337(f175(x34901),x34903)),f337(f175(x34901),f337(f337(f153(x34901),x34902),x34903)))
% 198.12/198.40 [3492]E(f337(f337(f140(x34921),x34922),f337(f174(x34921),x34923)),f337(f174(x34921),f337(f337(f140(x34921),x34922),x34923)))
% 198.12/198.40 [3503]E(f337(f337(f178(x35031),f79(a884)),f337(f337(f153(x35031),x35032),x35033)),f337(f337(f153(x35031),x35032),f116(x35031)))
% 198.12/198.40 [3550]E(f337(f64(x35501,x35502),f337(f337(f315(x35501),x35503),f197(f893(x35501,a878)))),x35503)
% 198.12/198.40 [3593]E(f337(f337(f81(a884),x35931),f337(f337(f81(a884),x35932),x35933)),f337(f337(f81(a884),x35932),f337(f337(f81(a884),x35931),x35933)))
% 198.12/198.40 [3594]E(f337(f337(f81(a1),x35941),f337(f337(f81(a1),x35942),x35943)),f337(f337(f81(a1),x35942),f337(f337(f81(a1),x35941),x35943)))
% 198.12/198.40 [3599]E(f337(f337(f274(x35991,x35992),f197(f893(x35991,a878))),x35993),f197(f893(f892(x35991,x35992),a878)))
% 198.12/198.40 [3625]E(f337(f337(f113(f893(x36251,a878)),x36252),x36253),f337(f337(f113(f893(x36251,a878)),x36253),x36252))
% 198.12/198.40 [3626]E(f337(f337(f104(f893(x36261,a878)),x36262),x36263),f337(f337(f104(f893(x36261,a878)),x36263),x36262))
% 198.12/198.40 [3628]E(f337(f337(f136(x36281),x36282),f337(f337(f153(x36281),x36283),f116(x36281))),f337(f170(x36281),f337(f337(f153(x36281),x36283),x36282)))
% 198.12/198.40 [3629]E(f337(f337(f136(x36291),f337(f171(x36291),x36292)),f337(f171(x36291),x36293)),f337(f171(x36291),f337(f337(f136(x36291),x36293),x36292)))
% 198.12/198.40 [3639]E(f337(f174(x36391),f337(f337(f178(x36391),f337(a115,x36392)),x36393)),f337(f337(f178(x36391),x36392),f337(f174(x36391),x36393)))
% 198.12/198.40 [3646]P24(f337(f337(f339(x36461),x36462),f337(f337(f315(x36461),x36462),x36463)))
% 198.12/198.40 [3650]E(f337(f337(f43(x36501,f893(x36502,a878)),f197(f893(x36501,a878))),x36503),f260(f893(x36502,a878)))
% 198.12/198.40 [3653]E(f337(f291(x36531,x36531,f269(x36531,x36532)),x36533),f337(f337(f104(f893(x36531,a878)),x36532),x36533))
% 198.12/198.40 [3667]E(f337(f198(f885(x36671)),f337(f337(f153(x36671),x36672),x36673)),f337(f337(f81(a884),f337(f198(f885(x36671)),x36673)),f337(a115,f2(a884))))
% 198.12/198.40 [3671]E(f146(x36711,f337(f337(f136(x36711),x36712),f337(f337(f153(x36711),x36713),f116(x36711)))),x36713)
% 198.12/198.40 [3672]E(f117(x36721,f337(f337(f136(x36721),x36722),f337(f337(f153(x36721),x36723),f116(x36721)))),x36722)
% 198.12/198.40 [3678]E(f337(f337(f136(x36781),f337(f337(f178(x36781),x36782),x36783)),f337(f337(f140(x36781),x36782),x36783)),x36783)
% 198.12/198.40 [3687]E(f337(f337(f22(a884),f337(f337(f81(a884),x36871),x36872)),f337(f337(f81(a884),x36873),x36872)),f337(f337(f22(a884),x36871),x36873))
% 198.12/198.40 [3688]E(f337(f337(f22(a884),f337(f337(f81(a884),x36881),x36882)),f337(f337(f81(a884),x36881),x36883)),f337(f337(f22(a884),x36882),x36883))
% 198.12/198.40 [3696]E(f337(f337(f136(x36961),f337(f171(x36961),x36962)),f337(f337(f153(x36961),x36963),f116(x36961))),f337(f171(x36961),f337(f337(f153(x36961),x36963),x36962)))
% 198.12/198.40 [3698]E(f337(f337(f81(a884),f337(f198(f885(x36981)),x36982)),f337(f198(f885(x36981)),x36983)),f337(f198(f885(x36981)),f337(f337(f136(x36981),x36982),x36983)))
% 198.12/198.40 [3701]E(f337(f337(f81(a884),f337(f198(f885(x37011)),x37012)),f337(f198(f885(x37011)),x37013)),f337(f198(f885(x37011)),f176(x37011,x37012,x37013)))
% 198.12/198.40 [3709]E(f337(f337(f113(f893(x37091,a878)),f337(f175(x37091),x37092)),f337(f175(x37091),x37093)),f337(f175(x37091),f337(f337(f136(x37091),x37092),x37093)))
% 198.12/198.40 [3710]E(f45(a884,f337(f337(f82(a884),x37101),x37102),f337(f337(f82(a884),x37101),x37103)),f337(f337(f82(a884),x37101),f45(a884,x37102,x37103)))
% 198.12/198.40 [3723]E(f337(f337(f178(x37231),f337(f337(f22(a884),x37232),f79(a884))),f337(f174(x37231),x37233)),f337(f174(x37231),f337(f337(f178(x37231),x37232),x37233)))
% 198.12/198.40 [3728]E(f337(f337(f104(f893(x37281,a878)),x37282),f337(f80(f893(x37281,a878)),x37283)),f337(f337(f22(f893(x37281,a878)),x37282),x37283))
% 198.12/198.40 [3729]E(f337(f337(f22(f893(x37291,a878)),x37292),f337(f80(f893(x37291,a878)),x37293)),f337(f337(f104(f893(x37291,a878)),x37292),x37293))
% 198.12/198.40 [3751]E(f337(f337(f274(x37511,x37512),x37513),f337(f16(f893(x37512,a878),x37511),f197(f893(x37512,a878)))),f197(f893(f892(x37511,x37512),a878)))
% 198.12/198.40 [3753]E(f337(f337(f22(a884),f337(f337(f82(a884),x37531),x37532)),f337(f337(f82(a884),x37531),x37533)),f337(f337(f82(a884),x37531),f337(f337(f22(a884),x37532),x37533)))
% 198.12/198.40 [3754]E(f337(f337(f81(a884),f337(f337(f82(a884),x37541),x37542)),f337(f337(f82(a884),x37541),x37543)),f337(f337(f82(a884),x37541),f337(f337(f81(a884),x37542),x37543)))
% 198.12/198.40 [3755]E(f337(f337(f22(a1),f337(f337(f82(a1),x37551),x37552)),f337(f337(f82(a1),x37551),x37553)),f337(f337(f82(a1),x37551),f337(f337(f22(a1),x37552),x37553)))
% 198.12/198.40 [3756]E(f337(f337(f81(a1),f337(f337(f82(a1),x37561),x37562)),f337(f337(f82(a1),x37561),x37563)),f337(f337(f82(a1),x37561),f337(f337(f81(a1),x37562),x37563)))
% 198.12/198.40 [3757]E(f337(f337(f82(a1),f337(f337(f262(a1),x37571),x37572)),f337(f337(f262(a1),x37571),x37573)),f337(f337(f262(a1),x37571),f337(f337(f81(a884),x37572),x37573)))
% 198.12/198.40 [3772]E(f337(f337(f42(x37721,f893(x37722,a878)),x37723),f337(f16(f893(x37722,a878),x37721),f197(f893(x37722,a878)))),f197(f893(x37722,a878)))
% 198.12/198.40 [3774]E(f45(a884,f337(f337(f82(a884),x37741),x37742),f337(f337(f82(a884),x37743),x37742)),f337(f337(f82(a884),f45(a884,x37741,x37743)),x37742))
% 198.12/198.40 [3778]E(f45(a1,f337(f337(f22(a1),x37781),f45(a1,x37782,x37783)),x37783),f45(a1,f337(f337(f22(a1),x37781),x37782),x37783))
% 198.12/198.40 [3779]E(f45(a1,f337(f337(f82(a1),x37791),f45(a1,x37792,x37793)),x37793),f45(a1,f337(f337(f82(a1),x37791),x37792),x37793))
% 198.12/198.40 [3780]P24(f337(f337(f251(f893(x37801,a878)),x37802),f337(f337(f315(x37801),x37803),x37802)))
% 198.12/198.40 [3783]E(f337(f316(f892(x37831,x37832),x37831,f271(x37831,x37832)),f337(f175(f892(x37831,x37832)),x37833)),f187(x37831,x37832,f337(f181(x37831,x37832),x37833)))
% 198.12/198.40 [3835]P24(f337(f62(x38351),f187(x38351,x38352,f337(f181(x38351,x38352),x38353))))
% 198.12/198.40 [3860]E(f337(f337(f43(f893(x38601,a878),f893(x38601,a878)),x38602),f337(f113(f893(x38601,a878)),x38603)),f337(f337(f113(f893(x38601,a878)),x38603),f41(f893(x38601,a878),x38602)))
% 198.12/198.40 [3861]E(f337(f337(f42(f893(x38611,a878),f893(x38611,a878)),x38612),f337(f104(f893(x38611,a878)),x38613)),f337(f337(f104(f893(x38611,a878)),x38613),f40(f893(x38611,a878),x38612)))
% 198.12/198.40 [3872]E(f337(f175(x38721),f337(f337(f337(f192(f885(x38721),f885(x38721)),x38722),f170(x38721)),x38723)),f337(f175(x38721),x38723))
% 198.12/198.40 [3876]E(f337(f337(f178(x38761),f337(f198(f885(x38761)),f180(x38761,x38762,x38763))),x38763),f180(x38761,x38762,x38763))
% 198.12/198.40 [3877]E(f187(x38771,x38772,f337(f337(f8(x38772,f887(x38772),x38771),f209(x38772)),x38773)),f260(f893(x38771,a878)))
% 198.12/198.40 [3881]E(f337(f198(f885(x38811)),f337(f337(f337(f192(f885(x38811),f885(x38811)),x38812),f170(x38811)),x38813)),f337(f198(f885(x38811)),x38813))
% 198.12/198.40 [3884]E(f337(f337(f276(x38841,x38842,x38842),f337(f16(f893(x38842,x38842),x38841),f5(x38842))),x38843),f337(f275(x38841,x38842),x38843))
% 198.12/198.40 [3891]E(f45(a1,f337(f337(f22(a1),f45(a1,x38911,x38912)),x38913),x38912),f45(a1,f337(f337(f22(a1),x38911),x38913),x38912))
% 198.12/198.40 [3892]E(f45(a1,f337(f337(f262(a1),f45(a1,x38921,x38922)),x38923),x38922),f45(a1,f337(f337(f262(a1),x38921),x38923),x38922))
% 198.12/198.40 [3895]E(f337(f337(f42(f893(f892(x38951,x38952),a878),f893(x38952,a878)),x38953),f268(x38951,x38952)),f337(f268(x38951,x38952),f40(f893(f892(x38951,x38952),a878),x38953)))
% 198.12/198.40 [3896]E(f337(f337(f42(f893(f892(x38961,x38962),a878),f893(x38961,a878)),x38963),f270(x38961,x38962)),f337(f270(x38961,x38962),f40(f893(f892(x38961,x38962),a878),x38963)))
% 198.12/198.40 [3924]E(f337(f74(x39241,x39241,x39241,x39242),f337(f337(f192(x39241,x39241),x39243),x39242)),f337(f337(f192(x39241,x39241),f337(a115,x39243)),x39242))
% 198.12/198.40 [3934]E(f246(f887(x39341),x39342,f210(x39341),f337(f337(f8(x39341,f887(x39341),x39342),f209(x39341)),x39343)),f337(f211(x39342,x39341),x39343))
% 198.12/198.40 [3941]E(f337(f337(f140(x39411),f337(f337(f22(a884),f337(f198(f885(x39411)),x39412)),x39413)),f337(f171(x39411),x39412)),f337(f171(x39411),f337(f337(f178(x39411),x39413),x39412)))
% 198.12/198.40 [3942]E(f337(f337(f178(x39421),f337(f337(f22(a884),f337(f198(f885(x39421)),x39422)),x39423)),f337(f171(x39421),x39422)),f337(f171(x39421),f337(f337(f140(x39421),x39423),x39422)))
% 198.12/198.40 [3945]E(f337(f337(f81(a884),f337(f168(a884),f337(f337(f156(x39451,a884),x39452),x39453))),f337(f198(f885(x39451)),x39453)),f157(x39451,x39452,x39453))
% 198.12/198.40 [3964]E(f337(f170(x39641),f337(f337(f337(f192(f885(x39641),f885(x39641)),x39642),f170(x39641)),x39643)),f337(f337(f337(f192(f885(x39641),f885(x39641)),f337(a115,x39642)),f170(x39641)),x39643))
% 198.12/198.40 [3979]P24(f337(f337(f251(a884),f337(f198(f885(x39791)),f337(f138(x39791,x39792),x39793))),f337(f198(f885(x39791)),x39793)))
% 198.12/198.40 [3997]E(f337(f337(f113(f893(f893(x39971,a878),a878)),f337(f314(x39971),x39972)),f337(f316(f893(x39971,a878),f893(x39971,a878),f337(f315(x39971),x39973)),f337(f314(x39971),x39972))),f337(f314(x39971),f337(f337(f315(x39971),x39973),x39972)))
% 198.12/198.40 [4016]P20(x40161,x40162,f337(f337(f315(f882(x40161)),f337(f337(f337(f93(x40161),x40163),a24),x40163)),f197(f893(f882(x40161),a878))))
% 198.12/198.40 [4031]P24(f337(f337(f251(a884),f337(f198(f885(x40311)),f180(x40311,x40312,x40313))),f337(f198(f885(x40311)),x40313)))
% 198.12/198.40 [4039]E(f337(f270(x40391,x40392),f337(f257(f892(x40391,x40392)),f337(f276(x40391,x40392,a878),x40393))),f337(f257(x40391),f337(f337(f8(f893(x40392,a878),a878,x40391),f88(x40392)),x40393)))
% 198.12/198.40 [4051]E(f337(f316(a884,a884,f337(f337(f7(a884,a884,a884),f81(a884)),x40511)),f308(a884,x40512,x40513)),f308(a884,f337(f337(f81(a884),x40512),x40511),f337(f337(f81(a884),x40513),x40511)))
% 198.12/198.40 [4053]P24(f337(f62(f887(x40531)),f337(f316(x40532,f887(x40531),f337(f181(x40532,x40531),x40533)),f260(f893(x40532,a878)))))
% 198.12/198.40 [4066]E(f337(f316(a884,a884,f337(f337(f7(a884,a884,a884),f81(a884)),x40661)),f337(f307(a884,x40662),x40663)),f337(f307(a884,f337(f337(f81(a884),x40662),x40661)),f337(f337(f81(a884),x40663),x40661)))
% 198.12/198.40 [4084]E(f337(f337(f185(x40841,x40842),f337(f337(f156(f892(x40841,x40842),x40841),f271(x40841,x40842)),x40843)),f337(f337(f156(f892(x40841,x40842),x40842),f275(x40841,x40842)),x40843)),x40843)
% 198.12/198.40 [4089]E(f337(f337(f81(a884),f337(f337(f82(a884),x40891),f45(a884,f337(f337(f39(a884),x40892),x40891),x40893))),f45(a884,x40892,x40891)),f45(a884,x40892,f337(f337(f82(a884),x40891),x40893)))
% 198.12/198.40 [4104]E(f337(f337(f136(x41041),x41042),f337(f144(f885(x41041),f885(x41041),f136(x41041),f116(x41041)),x41043)),f337(f144(f885(x41041),f885(x41041),f136(x41041),x41042),x41043))
% 198.12/198.40 [4124]P24(f337(f337(f339(f892(x41241,x41241)),f337(f337(f272(x41241,x41241),x41242),x41242)),f337(f337(f192(f892(x41241,x41241),a878),f2(a884)),x41243)))
% 198.12/198.40 [4130]E(f337(f257(x41301),f337(f337(f8(f893(x41302,a878),a878,x41301),f88(x41302)),f337(f7(x41302,x41301,a878),x41303))),f337(f268(x41302,x41301),f337(f257(f892(x41302,x41301)),f337(f276(x41302,x41301,a878),x41303))))
% 198.12/198.40 [4148]E(f337(f337(f113(f893(x41481,a878)),f337(f337(f42(a884,f893(x41481,a878)),f308(a884,f79(a884),x41482)),x41483)),f337(x41483,f2(a884))),f337(f337(f42(a884,f893(x41481,a878)),f337(f306(a884),x41482)),x41483))
% 198.12/198.40 [4163]E(f337(f144(f885(x41631),f885(x41631),f136(x41631),f116(x41631)),f337(f337(f156(f885(x41631),f885(x41631)),f138(x41631,x41632)),x41633)),f337(f138(x41631,x41632),f337(f144(f885(x41631),f885(x41631),f136(x41631),f116(x41631)),x41633)))
% 198.12/198.40 [4168]E(f337(f275(f885(x41681),f885(x41681)),f169(x41681,x41682,x41683)),f337(f138(x41681,f337(f74(a878,a878,x41681,a332),x41682)),x41683))
% 198.12/198.40 [4219]E(f337(f337(f81(a1),f337(f337(f81(a1),f337(f337(f82(a1),x42191),f337(f337(f39(a1),x42192),x42191))),f45(a1,x42192,x42191))),x42193),f337(f337(f81(a1),x42192),x42193))
% 198.12/198.40 [4257]E(f337(f337(f81(a1),f337(f337(f81(a1),f337(f337(f82(a1),f337(f337(f39(a1),x42571),x42572)),x42572)),f45(a1,x42571,x42572))),x42573),f337(f337(f81(a1),x42571),x42573))
% 198.12/198.40 [4286]E(f86(f892(x42861,x42862),f337(f276(x42861,x42862,a878),f337(f337(f8(f893(x42862,f892(x42861,x42862)),f893(x42862,a878),x42861),f337(f8(f892(x42861,x42862),a878,x42862),x42863)),f272(x42861,x42862)))),f86(f892(x42861,x42862),x42863))
% 198.12/198.40 [4287]E(f91(f892(x42871,x42872),f337(f276(x42871,x42872,a878),f337(f337(f8(f893(x42872,f892(x42871,x42872)),f893(x42872,a878),x42871),f337(f8(f892(x42871,x42872),a878,x42872),x42873)),f272(x42871,x42872)))),f91(f892(x42871,x42872),x42873))
% 198.12/198.40 [4315]P24(f337(f337(f251(f893(x43151,a878)),f40(f893(x43151,a878),f337(f337(f104(f893(f893(x43151,a878),a878)),x43152),x43153))),f337(f337(f104(f893(x43151,a878)),f40(f893(x43151,a878),x43152)),f40(f893(x43151,a878),x43153))))
% 198.12/198.40 [4316]E(f337(f171(x43161),f337(f337(f337(f192(f885(x43161),f885(x43161)),f337(f337(f22(a884),f337(f198(f885(x43161)),x43162)),f45(a884,x43163,f337(f198(f885(x43161)),x43162)))),f170(x43161)),x43162)),f337(f337(f337(f192(f885(x43161),f885(x43161)),x43163),f170(x43161)),f337(f171(x43161),x43162)))
% 198.12/198.40 [4330]E(f337(f257(x43301),f337(f337(f8(a878,a878,x43301),a332),f337(f337(f7(x43301,f887(x43302),a878),f337(f337(f8(f887(x43302),f893(f887(x43302),a878),x43301),a334),x43303)),f210(x43302)))),f187(x43301,x43302,x43303))
% 198.12/198.40 [4355]P24(f337(f337(f251(a884),f337(f198(f885(x43551)),f337(f337(f140(x43551),f337(f198(f885(x43551)),f180(x43551,x43552,x43553))),x43553))),f337(f198(f885(x43551)),x43553)))
% 198.12/198.40 [4397]E(f337(f257(x43971),f337(f337(f8(f893(x43972,a878),a878,x43971),f88(x43972)),f337(f337(f8(f887(x43971),f893(x43972,a878),x43971),f337(f7(x43972,f887(x43971),a878),f337(f337(f8(f887(x43971),f893(f887(x43971),a878),x43972),a334),x43973))),f209(x43971)))),f189(x43972,x43971,x43973))
% 198.12/198.40 [4611]~P24(f337(f63(x46111,x46112,f197(f893(x46111,a878))),x46113))
% 198.12/198.40 [4618]~P24(f337(f337(f339(f892(x46181,x46181)),f337(f337(f272(x46181,x46181),x46182),x46183)),f155(x46181,f116(f893(x46181,a884)))))
% 198.12/198.40 [3640]E(f337(f198(f885(x36401)),f337(f337(f178(x36401),x36402),x36403)),f337(f337(f249(a884),f337(f198(f885(x36401)),x36403)),x36402))
% 198.12/198.40 [3641]E(f337(f198(f885(x36411)),f337(f337(f140(x36411),x36412),x36413)),f337(f337(f22(a884),f337(f198(f885(x36411)),x36413)),x36412))
% 198.12/198.40 [3666]E(f337(f198(f885(f885(x36661))),f55(x36661,x36662,x36663)),f337(f337(f262(a884),f337(f198(f885(x36661)),x36663)),x36662))
% 198.12/198.40 [3680]E(f337(f337(f39(a884),f337(f337(f39(a884),x36801),x36802)),x36803),f337(f337(f39(a884),x36801),f337(f337(f82(a884),x36802),x36803)))
% 198.12/198.40 [3681]E(f337(f337(f22(a884),f337(f337(f22(a884),x36811),x36812)),x36813),f337(f337(f22(a884),x36811),f337(f337(f81(a884),x36812),x36813)))
% 198.12/198.40 [3682]E(f337(f337(f82(a884),f337(f337(f82(a884),x36821),x36822)),x36823),f337(f337(f82(a884),x36821),f337(f337(f82(a884),x36822),x36823)))
% 198.12/198.40 [3683]E(f337(f337(f82(a1),f337(f337(f82(a1),x36831),x36832)),x36833),f337(f337(f82(a1),x36831),f337(f337(f82(a1),x36832),x36833)))
% 198.12/198.40 [3684]E(f337(f337(f81(a884),f337(f337(f81(a884),x36841),x36842)),x36843),f337(f337(f81(a884),x36841),f337(f337(f81(a884),x36842),x36843)))
% 198.12/198.40 [3685]E(f337(f337(f81(a1),f337(f337(f81(a1),x36851),x36852)),x36853),f337(f337(f81(a1),x36851),f337(f337(f81(a1),x36852),x36853)))
% 198.12/198.40 [3686]E(f337(f337(f262(a1),f337(f337(f262(a1),x36861),x36862)),x36863),f337(f337(f262(a1),x36861),f337(f337(f82(a884),x36862),x36863)))
% 198.12/198.40 [3707]E(f164(x37071,f337(f337(f153(f893(x37071,a878)),x37072),x37073)),f177(x37071,x37072,f164(x37071,x37073)))
% 198.12/198.40 [3752]E(f337(f337(f22(a884),f337(f337(f22(a884),x37521),x37522)),x37523),f337(f337(f22(a884),f337(f337(f22(a884),x37521),x37523)),x37522))
% 198.12/198.40 [3758]E(f337(f209(f892(x37581,f886(x37581))),f337(f337(f272(x37581,f886(x37581)),x37582),x37583)),f337(f137(x37581),f130(x37581,x37582,x37583)))
% 198.12/198.40 [3761]E(f337(f337(f104(f893(x37611,a878)),x37612),f337(f337(f22(f893(x37611,a878)),x37613),x37612)),f197(f893(x37611,a878)))
% 198.12/198.40 [3765]E(f337(f337(f156(a884,x37651),f337(f16(x37651,a884),x37652)),f141(a884,f337(f307(a884,f2(a884)),x37653))),f172(x37651,x37653,x37652))
% 198.12/198.40 [3804]E(f41(f893(x38041,a878),f337(f337(f315(f893(x38041,a878)),x38042),x38043)),f337(f337(f104(f893(x38041,a878)),x38042),f41(f893(x38041,a878),x38043)))
% 198.12/198.40 [3805]E(f40(f893(x38051,a878),f337(f337(f315(f893(x38051,a878)),x38052),x38053)),f337(f337(f113(f893(x38051,a878)),x38052),f40(f893(x38051,a878),x38053)))
% 198.12/198.40 [3807]E(f172(x38071,f337(f198(f885(x38071)),f337(f138(x38071,f337(a334,x38072)),x38073)),x38072),f337(f138(x38071,f337(a334,x38072)),x38073))
% 198.12/198.40 [3809]E(f337(f337(f22(a884),f337(f337(f82(a884),x38091),x38092)),f337(f337(f82(a884),x38093),x38092)),f337(f337(f82(a884),f337(f337(f22(a884),x38091),x38093)),x38092))
% 198.12/198.40 [3810]E(f337(f337(f81(a884),f337(f337(f82(a884),x38101),x38102)),f337(f337(f82(a884),x38103),x38102)),f337(f337(f82(a884),f337(f337(f81(a884),x38101),x38103)),x38102))
% 198.12/198.40 [3811]E(f337(f337(f22(a1),f337(f337(f82(a1),x38111),x38112)),f337(f337(f82(a1),x38113),x38112)),f337(f337(f82(a1),f337(f337(f22(a1),x38111),x38113)),x38112))
% 198.12/198.40 [3812]E(f337(f337(f81(a1),f337(f337(f82(a1),x38121),x38122)),f337(f337(f82(a1),x38123),x38122)),f337(f337(f82(a1),f337(f337(f81(a1),x38121),x38123)),x38122))
% 198.12/198.40 [3814]E(f337(f337(f249(a884),f337(f337(f22(a884),x38141),x38142)),f337(f337(f22(a884),x38143),x38142)),f337(f337(f22(a884),f337(f337(f249(a884),x38141),x38143)),x38142))
% 198.12/198.40 [3838]E(f337(f337(f104(f893(f885(x38381),a878)),f162(x38381,x38382)),f162(x38381,x38383)),f162(x38381,f337(f337(f104(f893(x38381,a878)),x38382),x38383)))
% 198.12/198.40 [3840]E(f337(f337(f113(f893(x38401,a878)),x38402),f337(f337(f113(f893(x38401,a878)),x38402),x38403)),f337(f337(f113(f893(x38401,a878)),x38402),x38403))
% 198.12/198.40 [3841]E(f337(f337(f113(f893(x38411,a878)),x38412),f337(f337(f22(f893(x38411,a878)),x38413),x38412)),f337(f337(f113(f893(x38411,a878)),x38412),x38413))
% 198.12/198.40 [3842]E(f337(f337(f104(f893(x38421,a878)),x38422),f337(f337(f104(f893(x38421,a878)),x38422),x38423)),f337(f337(f104(f893(x38421,a878)),x38422),x38423))
% 198.12/198.40 [3854]E(f337(f337(f294(x38541,x38542,x38542),x38543),f313(x38542,f197(f893(f892(x38542,x38542),a878)))),x38543)
% 198.12/198.40 [3857]E(f337(f337(f113(f893(x38571,a878)),f337(f337(f315(x38571),x38572),f197(f893(x38571,a878)))),x38573),f337(f337(f315(x38571),x38572),x38573))
% 198.12/198.40 [3875]E(f337(f337(f22(a884),f337(f337(f22(a884),f337(a115,x38751)),x38752)),f337(a115,x38753)),f337(f337(f22(a884),f337(f337(f22(a884),x38751),x38752)),x38753))
% 198.12/198.40 [3905]E(f337(f337(f104(f893(f893(x39051,a878),a878)),f337(f314(x39051),x39052)),f337(f314(x39051),x39053)),f337(f314(x39051),f337(f337(f104(f893(x39051,a878)),x39052),x39053)))
% 198.12/198.40 [3909]E(f337(f337(f113(f893(x39091,a878)),f337(f80(f893(x39091,a878)),x39092)),x39093),f337(f80(f893(x39091,a878)),f337(f337(f22(f893(x39091,a878)),x39092),x39093)))
% 198.12/198.40 [3921]E(f337(f337(f315(x39211),x39212),f337(f337(f22(f893(x39211,a878)),x39213),f337(f337(f315(x39211),x39212),f197(f893(x39211,a878))))),f337(f337(f315(x39211),x39212),x39213))
% 198.12/198.40 [3931]P24(f337(f337(f251(f893(x39311,a878)),x39312),f337(f337(f113(f893(x39311,a878)),x39313),x39312)))
% 198.12/198.40 [3932]P24(f337(f337(f251(f893(x39321,a878)),x39322),f337(f337(f113(f893(x39321,a878)),x39322),x39323)))
% 198.12/198.40 [3935]E(f337(f337(f104(f893(x39351,a878)),f337(f80(f893(x39351,a878)),x39352)),f337(f80(f893(x39351,a878)),x39353)),f337(f80(f893(x39351,a878)),f337(f337(f113(f893(x39351,a878)),x39352),x39353)))
% 198.12/198.40 [3936]E(f337(f337(f113(f893(x39361,a878)),f337(f80(f893(x39361,a878)),x39362)),f337(f80(f893(x39361,a878)),x39363)),f337(f80(f893(x39361,a878)),f337(f337(f104(f893(x39361,a878)),x39362),x39363)))
% 198.12/198.40 [3950]P24(f337(f337(f251(f893(x39501,a878)),f337(f175(x39501),x39502)),f337(f175(x39501),f337(f337(f153(x39501),x39503),x39502))))
% 198.12/198.40 [3961]E(f337(f337(f113(f893(x39611,a878)),f337(f337(f22(f893(x39611,a878)),x39612),x39613)),f337(f337(f104(f893(x39611,a878)),x39612),x39613)),x39612)
% 198.12/198.40 [4018]E(f337(f337(f6(x40181,a1),f337(f337(f8(a884,a1,x40181),f103(a1)),x40182)),x40183),f337(f103(a1),f337(f337(f6(x40181,a884),x40182),x40183)))
% 198.12/198.40 [4019]E(f337(f337(f9(x40191,a1),f337(f337(f8(a884,a1,x40191),f103(a1)),x40192)),x40193),f337(f103(a1),f337(f337(f9(x40191,a884),x40192),x40193)))
% 198.12/198.40 [4068]E(f337(f337(f136(x40681),f180(x40681,x40682,x40683)),f337(f337(f140(x40681),f337(f198(f885(x40681)),f180(x40681,x40682,x40683))),x40683)),x40683)
% 198.12/198.40 [4073]E(f337(f80(f893(f892(x40731,x40732),a878)),f337(f337(f274(x40731,x40732),x40733),f337(f16(f893(x40732,a878),x40731),f260(f893(x40732,a878))))),f337(f337(f274(x40731,x40732),f337(f80(f893(x40731,a878)),x40733)),f337(f16(f893(x40732,a878),x40731),f260(f893(x40732,a878)))))
% 198.12/198.40 [4074]E(f337(f80(f893(f892(x40741,x40742),a878)),f337(f337(f274(x40741,x40742),f260(f893(x40741,a878))),f337(f16(f893(x40742,a878),x40741),x40743))),f337(f337(f274(x40741,x40742),f260(f893(x40741,a878))),f337(f16(f893(x40742,a878),x40741),f337(f80(f893(x40742,a878)),x40743))))
% 198.12/198.40 [4098]E(f119(f887(x40981),f337(f246(f886(f887(x40981)),f886(f887(x40981)),f127(x40981),f5(f886(f887(x40981)))),x40982),f125(x40981,x40983)),f125(x40981,f130(f887(f886(f887(x40981))),x40982,x40983)))
% 198.12/198.40 [4125]E(f337(f337(f42(f893(x41251,a878),f893(x41251,a878)),x41252),f337(f337(f7(f893(x41251,a878),f893(x41251,a878),f893(x41251,a878)),f104(f893(x41251,a878))),x41253)),f337(f337(f104(f893(x41251,a878)),f40(f893(x41251,a878),x41252)),x41253))
% 198.12/198.40 [4132]E(f337(f144(f885(x41321),f885(x41321),f136(x41321),f116(x41321)),f337(f337(f153(f885(x41321)),x41322),x41323)),f337(f337(f136(x41321),x41322),f337(f144(f885(x41321),f885(x41321),f136(x41321),f116(x41321)),x41323)))
% 198.12/198.40 [4154]E(f337(f337(f315(f893(x41541,a878)),f337(f291(x41541,x41541,x41542),f337(f337(f315(x41541),x41543),f197(f893(x41541,a878))))),f197(f893(f893(x41541,a878),a878))),f337(f337(f61(x41541),f337(f337(f315(x41541),x41543),f197(f893(x41541,a878)))),x41542))
% 198.12/198.40 [4164]E(f337(f337(f81(a884),f337(f337(f82(a884),x41641),f337(f337(f39(a884),x41642),x41643))),f337(f337(f39(a884),f337(f337(f82(a884),x41641),f45(a884,x41642,x41643))),x41643)),f337(f337(f39(a884),f337(f337(f82(a884),x41641),x41642)),x41643))
% 198.12/198.40 [4165]E(f337(f337(f81(a1),f337(f337(f82(a1),x41651),f337(f337(f39(a1),x41652),x41653))),f337(f337(f39(a1),f337(f337(f82(a1),x41651),f45(a1,x41652,x41653))),x41653)),f337(f337(f39(a1),f337(f337(f82(a1),x41651),x41652)),x41653))
% 198.12/198.40 [4204]E(f337(f337(f22(f893(x42041,a878)),f337(f175(x42041),x42042)),f337(f337(f315(x42041),x42043),f197(f893(x42041,a878)))),f337(f175(x42041),f337(f138(x42041,f337(f337(f8(a878,a878,x42041),a332),f337(a334,x42043))),x42042)))
% 198.12/198.40 [4254]E(f337(f337(f136(x42541),f337(f144(f885(x42541),f885(x42541),f136(x42541),f116(x42541)),x42542)),f337(f144(f885(x42541),f885(x42541),f136(x42541),f116(x42541)),x42543)),f337(f144(f885(x42541),f885(x42541),f136(x42541),f116(x42541)),f337(f337(f136(f885(x42541)),x42542),x42543)))
% 198.12/198.40 [4259]E(f337(f337(f272(f885(x42591),f885(x42591)),f337(f138(x42591,x42592),x42593)),f337(f138(x42591,f337(f74(a878,a878,x42591,a332),x42592)),x42593)),f169(x42591,x42592,x42593))
% 198.12/198.40 [4262]E(f337(f337(f81(a884),f337(f337(f81(a884),f337(f337(f39(a884),x42621),x42622)),f337(f337(f39(a884),x42623),x42622))),f337(f337(f39(a884),f337(f337(f81(a884),f45(a884,x42621,x42622)),f45(a884,x42623,x42622))),x42622)),f337(f337(f39(a884),f337(f337(f81(a884),x42621),x42623)),x42622))
% 198.12/198.40 [4263]E(f337(f337(f81(a1),f337(f337(f81(a1),f337(f337(f39(a1),x42631),x42632)),f337(f337(f39(a1),x42633),x42632))),f337(f337(f39(a1),f337(f337(f81(a1),f45(a1,x42631,x42632)),f45(a1,x42633,x42632))),x42632)),f337(f337(f39(a1),f337(f337(f81(a1),x42631),x42633)),x42632))
% 198.12/198.40 [4319]E(f337(f337(f104(f893(f885(x43191),a878)),f337(f337(f7(f885(x43191),f893(f885(x43191),a878),a878),f339(f885(x43191))),f163(x43191,x43192))),f337(f337(f7(f885(x43191),f893(f885(x43191),a878),a878),f339(f885(x43191))),f163(x43191,x43193))),f162(x43191,f337(f337(f104(f893(x43191,a878)),f337(f337(f7(x43191,f893(x43191,a878),a878),f339(x43191)),x43192)),f337(f337(f7(x43191,f893(x43191,a878),a878),f339(x43191)),x43193))))
% 198.12/198.40 [4332]E(f337(f257(x43321),f337(f337(f18(x43321,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43321),a336),f337(f337(f7(x43321,x43321,a878),a334),x43322))),f337(f337(f7(x43321,f893(x43321,a878),a878),f339(x43321)),x43323))),f337(f337(f315(x43321),x43322),x43323))
% 198.12/198.40 [4352]E(f337(f337(f87(f885(f885(x43521)),f885(f885(x43521))),f54(x43521,x43522)),f337(f337(f18(f885(f885(x43521)),f885(f885(x43521)),f885(f885(x43521))),f337(f337(f8(f885(f885(x43521)),f893(f885(f885(x43521)),f885(f885(x43521))),f885(f885(x43521))),f136(f885(x43521))),f337(f156(f885(x43521),f885(x43521)),f337(f153(x43521),x43523)))),f5(f885(f885(x43521))))),f54(x43521,f337(f337(f153(x43521),x43523),x43522)))
% 198.12/198.40 [4356]E(f337(f257(x43561),f337(f337(f18(x43561,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43561),a336),f337(f337(f7(x43561,f893(x43561,a878),a878),f339(x43561)),x43562))),f337(f337(f7(x43561,f893(x43561,a878),a878),f339(x43561)),x43563))),f337(f337(f113(f893(x43561,a878)),x43562),x43563))
% 198.12/198.40 [4357]E(f337(f257(x43571),f337(f337(f18(x43571,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43571),a335),f337(f337(f7(x43571,f893(x43571,a878),a878),f339(x43571)),x43572))),f337(f337(f7(x43571,f893(x43571,a878),a878),f339(x43571)),x43573))),f337(f337(f104(f893(x43571,a878)),x43572),x43573))
% 198.12/198.40 [4449]E(f337(f337(f42(x44491,f893(f893(x44491,a878),a878)),x44492),f337(f337(f7(x44491,f893(f893(x44491,a878),a878),f893(f893(x44491,a878),a878)),f337(f337(f8(f893(x44491,a878),f893(f893(f893(x44491,a878),a878),f893(f893(x44491,a878),a878)),x44491),f315(f893(x44491,a878))),f337(f337(f8(f893(x44491,a878),f893(x44491,a878),x44491),f291(x44491,x44491,x44493)),f337(f337(f7(x44491,f893(x44491,a878),f893(x44491,a878)),f315(x44491)),f197(f893(x44491,a878)))))),f197(f893(f893(x44491,a878),a878)))),f337(f337(f61(x44491),x44492),x44493))
% 198.12/198.40 [4451]E(f337(f337(f214(x44511),f337(f337(f82(a1),f337(f337(f74(f892(a1,a1),a1,x44511,f271(a1,a1)),f225(x44511)),x44512)),f337(f337(f74(f892(a1,a1),a1,x44511,f271(a1,a1)),f225(x44511)),x44513))),f337(f337(f82(a1),f337(f337(f74(f892(a1,a1),a1,x44511,f275(a1,a1)),f225(x44511)),x44512)),f337(f337(f74(f892(a1,a1),a1,x44511,f275(a1,a1)),f225(x44511)),x44513))),f240(x44511,x44512,x44513))
% 198.12/198.40 [4454]E(f337(f257(f885(x44541)),f337(f337(f18(f885(x44541),a878,a878),f337(f337(f8(a878,f893(a878,a878),f885(x44541)),a335),f337(f337(f7(f885(x44541),a884,a878),f337(f337(f8(a884,f893(a884,a878),f885(x44541)),a334),f198(f885(x44541)))),x44542))),f337(f337(f7(f885(x44541),f893(x44541,a878),a878),f337(f337(f8(f893(x44541,a878),f893(f893(x44541,a878),a878),f885(x44541)),f251(f893(x44541,a878))),f175(x44541))),f337(f175(x44541),x44543)))),f337(f175(f885(x44541)),f55(x44541,x44542,x44543)))
% 198.12/198.40 [3827]E(f45(a884,f337(f337(f81(a884),f337(f337(f82(a884),x38271),x38272)),x38273),x38272),f45(a884,x38273,x38272))
% 198.12/198.40 [3874]E(f141(a884,f337(f307(a884,f337(f337(f81(a884),x38741),x38742)),x38743)),f337(f337(f140(a884),x38742),f141(a884,f337(f307(a884,x38741),x38743))))
% 198.12/198.40 [3920]E(f337(f337(f81(a1),f337(f103(a1),x39201)),f337(f337(f81(a1),f337(f103(a1),x39202)),x39203)),f337(f337(f81(a1),f337(f103(a1),f337(f337(f81(a884),x39201),x39202))),x39203))
% 198.12/198.40 [3927]E(f337(f337(f113(f893(x39271,a878)),f337(f337(f22(f893(x39271,a878)),x39272),x39273)),x39273),f337(f337(f113(f893(x39271,a878)),x39272),x39273))
% 198.12/198.40 [3928]E(f337(f337(f22(f893(x39281,a878)),f337(f337(f22(f893(x39281,a878)),x39282),x39283)),x39283),f337(f337(f22(f893(x39281,a878)),x39282),x39283))
% 198.12/198.40 [3951]E(f337(f337(f294(x39511,x39511,x39512),f313(x39511,f197(f893(f892(x39511,x39511),a878)))),x39513),x39513)
% 198.12/198.40 [3958]E(f337(f337(f113(f893(x39581,a878)),f337(f290(x39581),x39582)),f337(f290(x39581),x39583)),f337(f290(x39581),f337(f337(f113(f893(f892(x39581,x39581),a878)),x39582),x39583)))
% 198.12/198.40 [3969]E(f281(x39691,f337(f337(f153(f892(a102,x39691)),f337(f337(f272(a102,x39691),f2(a102)),x39692)),x39693)),f281(x39691,x39693))
% 198.12/198.40 [3972]E(f337(f337(f104(f893(x39721,a878)),f41(f893(x39721,a878),x39722)),f41(f893(x39721,a878),x39723)),f41(f893(x39721,a878),f337(f337(f113(f893(f893(x39721,a878),a878)),x39722),x39723)))
% 198.12/198.40 [3973]E(f337(f337(f113(f893(x39731,a878)),f40(f893(x39731,a878),x39732)),f40(f893(x39731,a878),x39733)),f40(f893(x39731,a878),f337(f337(f113(f893(f893(x39731,a878),a878)),x39732),x39733)))
% 198.12/198.40 [4010]E(f337(f337(f294(x40101,x40101,x40101),f337(f337(f192(f892(x40101,x40101),a878),x40102),x40103)),x40103),f337(f337(f192(f892(x40101,x40101),a878),f337(a115,x40102)),x40103))
% 198.12/198.40 [4059]P24(f337(f337(f251(f893(x40591,a878)),f337(f337(f22(f893(x40591,a878)),x40592),x40593)),x40592))
% 198.12/198.40 [4060]P24(f337(f337(f251(f893(x40601,a878)),f337(f337(f104(f893(x40601,a878)),x40602),x40603)),x40603))
% 198.12/198.40 [4061]P24(f337(f337(f251(f893(x40611,a878)),f337(f337(f104(f893(x40611,a878)),x40612),x40613)),x40612))
% 198.12/198.40 [4086]E(f313(x40861,f337(f337(f113(f893(f892(x40861,x40861),a878)),f313(x40861,x40862)),f313(x40861,x40863))),f313(x40861,f337(f337(f113(f893(f892(x40861,x40861),a878)),x40862),x40863)))
% 198.12/198.40 [4090]E(f40(f893(x40901,a878),f337(f337(f315(f893(x40901,a878)),x40902),f337(f337(f315(f893(x40901,a878)),x40903),f197(f893(f893(x40901,a878),a878))))),f337(f337(f113(f893(x40901,a878)),x40902),x40903))
% 198.12/198.40 [4091]E(f41(f893(x40911,a878),f337(f337(f315(f893(x40911,a878)),x40912),f337(f337(f315(f893(x40911,a878)),x40913),f197(f893(f893(x40911,a878),a878))))),f337(f337(f104(f893(x40911,a878)),x40912),x40913))
% 198.12/198.40 [4097]E(f337(f337(f294(x40971,x40971,x40971),f337(f337(f192(f892(x40971,x40971),a878),x40972),x40973)),x40973),f337(f337(f294(x40971,x40971,x40971),x40973),f337(f337(f192(f892(x40971,x40971),a878),x40972),x40973)))
% 198.12/198.40 [4169]E(f337(f337(f113(f893(x41691,a878)),f337(f257(x41691),f337(f337(f7(x41691,x41691,a878),a334),x41692))),x41693),f337(f337(f315(x41691),x41692),x41693))
% 198.12/198.40 [4171]E(f337(a107,f337(f337(f6(x41711,a1),f337(f337(f8(a884,a1,x41711),f103(a1)),x41712)),x41713)),f337(f337(f6(x41711,a884),x41712),x41713))
% 198.12/198.40 [4172]E(f337(a107,f337(f337(f9(x41721,a1),f337(f337(f8(a884,a1,x41721),f103(a1)),x41722)),x41723)),f337(f337(f9(x41721,a884),x41722),x41723))
% 198.12/198.40 [4251]E(f337(f158(f885(x42511),x42511,f337(f174(x42511),x42512),f337(f16(f893(f885(x42511),f885(x42511)),x42511),f337(f337(f7(f885(x42511),f885(x42511),f885(x42511)),f136(x42511)),x42512))),x42513),f337(f174(x42511),f337(f337(f136(x42511),x42513),x42512)))
% 198.12/198.40 [4282]P24(f337(f337(f251(f893(f893(x42821,a878),a878)),f337(f337(f113(f893(f893(x42821,a878),a878)),f337(f314(x42821),x42822)),f337(f314(x42821),x42823))),f337(f314(x42821),f337(f337(f113(f893(x42821,a878)),x42822),x42823))))
% 198.12/198.40 [4375]E(f337(f257(x43751),f337(f337(f18(x43751,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43751),a335),f337(f337(f7(x43751,f893(x43751,a878),a878),f339(x43751)),x43752))),f337(f337(f8(a878,a878,x43751),a332),f337(f337(f7(x43751,f893(x43751,a878),a878),f339(x43751)),x43753)))),f337(f337(f22(f893(x43751,a878)),x43752),x43753))
% 198.12/198.40 [4398]E(f337(f38(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,a884,a878),f252(a884)),f337(f198(f885(x43981)),x43982)))),f337(f337(f8(x43981,a878,a884),x43983),f337(f167(x43981),x43982))))),f337(f198(f885(x43981)),f337(f138(x43981,x43983),x43982)))
% 198.12/198.40 [4400]E(f337(f198(f885(x44001)),f179(x44001,x44002,x44003)),f337(f38(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,a884,a878),f252(a884)),f337(f198(f885(x44001)),x44002)))),f337(f337(f7(a884,f893(a884,a878),a878),f339(a884)),x44003)))))
% 198.12/198.40 [4497]E(f337(f337(f104(f893(f892(f885(x44971),f885(x44971)),a878)),f337(f316(f892(f892(x44971,f885(x44971)),f892(x44971,f885(x44971))),f892(f885(x44971),f885(x44971)),f277(f892(x44971,f885(x44971)),f885(x44971),f892(x44971,f885(x44971)),f885(x44971),f337(f276(x44971,f885(x44971),f885(x44971)),f153(x44971)),f337(f276(x44971,f885(x44971),f885(x44971)),f153(x44971)))),f330(x44971,f885(x44971),x44972,f337(f145(x44971,x44972),x44973)))),f337(f257(f892(f885(x44971),f885(x44971))),f337(f276(f885(x44971),f885(x44971),a878),f337(f337(f7(f885(x44971),f893(f885(x44971),a878),f893(f885(x44971),a878)),f337(f337(f8(f893(a878,a878),f893(f893(f885(x44971),a878),f893(f885(x44971),a878)),f885(x44971)),f8(a878,a878,f885(x44971))),f337(f337(f8(a878,f893(a878,a878),f885(x44971)),a335),f337(f337(f7(f885(x44971),a884,a878),f337(f337(f8(a884,f893(a884,a878),f885(x44971)),a334),f198(f885(x44971)))),f337(a115,x44973))))),f337(f337(f7(f885(x44971),a884,a878),f337(f337(f8(a884,f893(a884,a878),f885(x44971)),a334),f198(f885(x44971)))),f337(a115,x44973)))))),f337(f145(x44971,x44972),f337(a115,x44973)))
% 198.12/198.40 [3974]E(f45(a884,f337(a115,f337(f337(f81(a884),f337(f337(f82(a884),x39741),x39742)),x39743)),x39742),f45(a884,f337(a115,x39743),x39742))
% 198.12/198.40 [4239]E(f337(f257(x42391),f337(f337(f18(x42391,a878,a878),f337(f337(f8(a878,f893(a878,a878),x42391),a335),x42392)),x42393)),f337(f337(f104(f893(x42391,a878)),f337(f257(x42391),x42392)),f337(f257(x42391),x42393)))
% 198.12/198.40 [4240]E(f337(f257(x42401),f337(f337(f18(x42401,a878,a878),f337(f337(f8(a878,f893(a878,a878),x42401),a336),x42402)),x42403)),f337(f337(f113(f893(x42401,a878)),f337(f257(x42401),x42402)),f337(f257(x42401),x42403)))
% 198.12/198.40 [4242]E(f337(f337(f136(x42421),f337(f337(f140(x42421),f45(a884,x42422,f337(f198(f885(x42421)),x42423))),x42423)),f337(f337(f178(x42421),f45(a884,x42422,f337(f198(f885(x42421)),x42423))),x42423)),f337(f337(f337(f192(f885(x42421),f885(x42421)),x42422),f170(x42421)),x42423))
% 198.12/198.40 [4248]E(f337(f257(x42481),f337(f337(f18(x42481,a878,a878),f337(f337(f8(a878,f893(a878,a878),x42481),a340),x42482)),x42483)),f337(f337(f113(f893(x42481,a878)),f337(f80(f893(x42481,a878)),f337(f257(x42481),x42482))),f337(f257(x42481),x42483)))
% 198.12/198.40 [4264]E(f337(f337(f81(a884),f337(f198(f885(x42641)),f337(f138(x42641,x42642),x42643))),f337(f198(f885(x42641)),f337(f138(x42641,f337(f337(f8(a878,a878,x42641),a332),x42642)),x42643))),f337(f198(f885(x42641)),x42643))
% 198.12/198.40 [4289]P24(f337(f337(f251(f893(x42891,a878)),f337(f337(f113(f893(x42891,a878)),f41(f893(x42891,a878),x42892)),f41(f893(x42891,a878),x42893))),f41(f893(x42891,a878),f337(f337(f104(f893(f893(x42891,a878),a878)),x42892),x42893))))
% 198.12/198.40 [4303]E(f337(f175(x43031),f337(f138(x43031,f337(f337(f8(a878,a878,x43031),a332),f337(f337(f7(x43031,x43031,a878),a334),x43032))),x43033)),f337(f337(f22(f893(x43031,a878)),f337(f175(x43031),x43033)),f337(f337(f315(x43031),x43032),f197(f893(x43031,a878)))))
% 198.12/198.40 [4312]P24(f337(f337(f251(f893(f892(x43121,x43121),a878)),f337(f337(f113(f893(f892(x43121,x43121),a878)),f313(x43121,x43122)),f313(x43121,x43123))),f313(x43121,f337(f337(f113(f893(f892(x43121,x43121),a878)),x43122),x43123))))
% 198.12/198.40 [4337]E(f337(f337(f82(a884),f337(a115,f337(a115,f2(a884)))),f337(f337(f6(a884,a884),f337(f337(f8(a884,a884,a884),f337(f81(a884),x43371)),f337(f337(f7(a884,a884,a884),f82(a884)),x43372))),f337(f258(a884),x43373))),f337(f337(f82(a884),x43373),f337(f337(f81(a884),x43371),f337(f337(f81(a884),x43371),f337(f337(f82(a884),f337(f337(f22(a884),x43373),f79(a884))),x43372)))))
% 198.12/198.40 [4347]E(f337(f257(x43471),f337(f337(f18(x43471,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43471),a335),f337(f337(f7(x43471,f893(x43471,a878),a878),f339(x43471)),f337(f175(x43471),x43472)))),x43473)),f337(f175(x43471),f337(f138(x43471,x43473),x43472)))
% 198.12/198.40 [4496]E(f337(f257(x44961),f337(f337(f8(f893(a884,a878),a878,x44961),f88(a884)),f337(f337(f7(x44961,f893(a884,a878),f893(a884,a878)),f337(f337(f8(f893(a884,f893(a878,a878)),f893(f893(a884,a878),f893(a884,a878)),x44961),f18(a884,a878,a878)),f337(f337(f8(f893(a884,a878),f893(a884,f893(a878,a878)),x44961),f337(f8(a878,f893(a878,a878),a884),a335)),f337(f337(f7(x44961,f893(a884,x44961),f893(a884,a878)),f337(f337(f8(f893(x44961,a878),f893(f893(a884,x44961),f893(a884,a878)),x44961),f8(x44961,a878,a884)),a334)),f337(f167(x44961),x44962))))),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,a884,a878),f252(a884)),f337(f198(f885(x44961)),x44962)))),f337(f337(f7(a884,f893(a884,a878),a878),f339(a884)),x44963))))),f337(f175(x44961),f179(x44961,x44962,x44963)))
% 198.12/198.40 [4388]E(f337(f257(x43881),f337(f337(f18(x43881,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43881),a340),f337(f337(f8(a878,a878,x43881),a332),f337(f337(f7(x43881,x43881,a878),a334),x43882)))),x43883)),f337(f337(f315(x43881),x43882),f337(f257(x43881),x43883)))
% 198.12/198.40 [4420]E(f337(f337(f156(f892(x44201,a884),x44201),f271(x44201,a884)),f337(f138(f892(x44201,a884),f337(f337(f7(f892(x44201,a884),f893(a884,a878),a878),f337(f337(f8(a884,f893(f893(a884,a878),a878),f892(x44201,a884)),f339(a884)),f275(x44201,a884))),x44202)),f337(f337(f185(x44201,a884),x44203),f141(a884,f337(f307(a884,f2(a884)),f337(f198(f885(x44201)),x44203)))))),f179(x44201,x44203,x44202))
% 198.12/198.40 [4450]E(f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f6(a884,a1),f337(f337(f8(a1,a1,a884),f337(f81(a1),x44501)),f337(f337(f7(a884,a1,a1),f337(f337(f8(a1,f893(a1,a1),a884),f82(a1)),f103(a1))),x44502))),f337(f258(a884),x44503))),f337(f337(f82(a1),f337(f103(a1),x44503)),f337(f337(f81(a1),x44501),f337(f337(f81(a1),x44501),f337(f337(f82(a1),f337(f103(a1),f337(f337(f22(a884),x44503),f79(a884)))),x44502)))))
% 198.12/198.40 [4490]E(f337(f257(f892(x44901,x44902)),f337(f276(x44901,x44902,a878),f337(f337(f7(x44901,f893(f892(x44902,x44901),a878),f893(x44902,a878)),f337(f337(f8(f893(x44902,f893(f893(f892(x44902,x44901),a878),a878)),f893(f893(f892(x44902,x44901),a878),f893(x44902,a878)),x44901),f7(x44902,f893(f892(x44902,x44901),a878),a878)),f337(f337(f8(f893(x44902,f892(x44902,x44901)),f893(x44902,f893(f893(f892(x44902,x44901),a878),a878)),x44901),f337(f8(f892(x44902,x44901),f893(f893(f892(x44902,x44901),a878),a878),x44902),f339(f892(x44902,x44901)))),f337(f7(x44902,x44901,f892(x44902,x44901)),f272(x44902,x44901))))),x44903))),f337(f292(x44902,x44901),x44903))
% 198.12/198.40 [4512]E(f337(f257(f885(x45121)),f337(f337(f8(f893(x45121,a878),a878,f885(x45121)),f88(x45121)),f337(f337(f8(f893(x45121,f893(f885(x45121),a878)),f893(x45121,a878),f885(x45121)),f337(f8(f893(f885(x45121),a878),a878,x45121),f88(f885(x45121)))),f337(f337(f7(f885(x45121),f893(x45121,f893(f885(x45121),a878)),f893(x45121,f893(f885(x45121),a878))),f337(f337(f8(f893(x45121,f893(f893(f885(x45121),a878),f893(f885(x45121),a878))),f893(f893(x45121,f893(f885(x45121),a878)),f893(x45121,f893(f885(x45121),a878))),f885(x45121)),f18(x45121,f893(f885(x45121),a878),f893(f885(x45121),a878))),f337(f337(f8(f893(x45121,f893(f885(x45121),f893(a878,a878))),f893(x45121,f893(f893(f885(x45121),a878),f893(f885(x45121),a878))),f885(x45121)),f337(f8(f893(f885(x45121),f893(a878,a878)),f893(f893(f885(x45121),a878),f893(f885(x45121),a878)),x45121),f18(f885(x45121),a878,a878))),f337(f337(f8(f893(x45121,f893(f885(x45121),a878)),f893(x45121,f893(f885(x45121),f893(a878,a878))),f885(x45121)),f337(f8(f893(f885(x45121),a878),f893(f885(x45121),f893(a878,a878)),x45121),f337(f8(a878,f893(a878,a878),f885(x45121)),a335))),f337(f337(f7(f885(x45121),f893(x45121,f893(f885(x45121),f885(x45121))),f893(x45121,f893(f885(x45121),a878))),f337(f337(f8(f893(f893(f885(x45121),f885(x45121)),f893(f885(x45121),a878)),f893(f893(x45121,f893(f885(x45121),f885(x45121))),f893(x45121,f893(f885(x45121),a878))),f885(x45121)),f8(f893(f885(x45121),f885(x45121)),f893(f885(x45121),a878),x45121)),f337(f337(f8(f893(f885(x45121),a878),f893(f893(f885(x45121),f885(x45121)),f893(f885(x45121),a878)),f885(x45121)),f8(f885(x45121),a878,f885(x45121))),a334))),f153(x45121)))))),f337(f337(f7(x45121,f893(f885(x45121),a878),f893(f885(x45121),a878)),f337(f337(f8(f893(a878,a878),f893(f893(f885(x45121),a878),f893(f885(x45121),a878)),x45121),f8(a878,a878,f885(x45121))),f337(f337(f8(a878,f893(a878,a878),x45121),a335),f337(f337(f7(x45121,f893(x45121,a878),a878),f339(x45121)),x45122)))),f337(f337(f7(f885(x45121),f893(f885(x45121),a878),a878),f339(f885(x45121))),x45123)))))),f177(x45121,x45122,x45123))
% 198.12/198.40 [4509]E(f337(f337(f87(a1,f892(a1,a1)),f337(f337(f22(a1),x45091),x45092)),f337(f337(f7(a1,f892(a1,a1),f892(a1,a1)),f337(f337(f18(a1,f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),f337(f337(f8(a878,f893(f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),a1),f99(f892(a1,a1))),f337(f251(a1),f2(a1)))),f337(f272(a1,a1),f337(f337(f81(a1),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x45093)),f79(a1))))),f337(f337(f272(a1,a1),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x45093)),x45091))),f337(f44(x45092),f337(f337(f272(a1,a1),x45093),x45091)))
% 198.12/198.40 [4540]~E(f32(x45401,x45402),f33(x45403,x45404))
% 198.12/198.40 [4559]~E(f337(a28,x45591),f30(x45592,x45593,x45594))
% 198.12/198.40 [4560]~E(f337(a28,x45601),f29(x45602,x45603,x45604))
% 198.12/198.40 [4561]~E(f30(x45611,x45612,x45613),f337(a28,x45614))
% 198.12/198.40 [4562]~E(f29(x45621,x45622,x45623),f337(a28,x45624))
% 198.12/198.40 [3513]E(f337(f337(f337(f73(x35131,x35132),x35133),x35134),f337(x35133,x35134)),x35133)
% 198.12/198.40 [3521]E(f119(x35211,f337(x35212,x35213),f337(x35214,x35213)),f337(f216(x35211,x35212,x35214),x35213))
% 198.12/198.40 [3532]E(f119(f887(x35321),f337(x35322,x35323),f337(x35324,x35323)),f337(f206(x35321,x35322,x35324),x35323))
% 198.12/198.40 [3575]E(f337(f337(f263(x35751,x35752,x35753),x35754),f2(a884)),x35752)
% 198.12/198.40 [3617]E(f194(x36171,x36172,x36173,f337(a115,x36174)),f337(x36173,x36174))
% 198.12/198.40 [3658]E(f173(x36581,x36582,f173(x36581,x36583,x36584)),f173(x36581,x36583,f173(x36581,x36582,x36584)))
% 198.12/198.40 [3659]E(f130(x36591,x36592,f119(x36591,x36593,x36594)),f119(x36591,f130(x36591,x36592,x36593),x36594))
% 198.12/198.40 [3793]E(f337(f246(x37931,x37932,x37933,x37934),f210(x37932)),x37933)
% 198.12/198.40 [3795]E(f337(f158(x37951,x37952,x37953,x37954),f116(x37952)),x37953)
% 198.12/198.40 [3796]E(f337(f144(x37961,x37962,x37963,x37964),f116(x37962)),x37964)
% 198.12/198.40 [3834]E(f337(f198(f888(x38341,x38342)),f233(x38341,x38342,x38343,x38344)),f2(a884))
% 198.12/198.40 [3904]E(f337(f337(f136(x39041),f172(x39041,x39042,x39043)),f172(x39041,x39044,x39043)),f337(f337(f136(x39041),f172(x39041,x39044,x39043)),f172(x39041,x39042,x39043)))
% 198.12/198.40 [3917]E(f337(f246(f887(x39171),x39172,f210(x39171),f337(f16(f887(x39171),x39172),f210(x39171))),f337(x39173,x39174)),f210(x39171))
% 198.12/198.40 [3962]E(f337(f337(f113(f893(x39621,a878)),f187(x39621,x39622,x39623)),f187(x39621,x39622,x39624)),f187(x39621,x39622,f188(x39621,x39622,x39624,x39623)))
% 198.12/198.40 [3995]E(f337(f337(f278(x39951,x39952,x39953,f892(x39952,x39953)),x39954),f272(x39952,x39953)),x39954)
% 198.12/198.40 [4004]E(f247(x40041,x40042,x40043,x40044,f210(x40042)),x40043)
% 198.12/198.40 [4005]E(f190(x40051,x40052,x40053,x40054,f116(x40052)),x40053)
% 198.12/198.40 [4006]E(f190(x40061,x40062,x40063,f116(x40061),x40064),x40063)
% 198.12/198.40 [4296]P44(x42961,x42962,x42963,x42964,f197(f893(x42961,a878)),x42964)
% 198.12/198.40 [3316]E(f337(f337(f16(x33161,x33162),x33163),x33164),x33163)
% 198.12/198.40 [3430]E(f337(f337(f211(x34301,x34302),x34303),f337(f209(x34301),x34304)),f337(f209(x34302),f337(x34303,x34304)))
% 198.12/198.40 [3607]E(f173(x36071,x36072,f337(f138(x36071,x36073),x36074)),f337(f138(x36071,x36073),f173(x36071,x36072,x36074)))
% 198.12/198.40 [3642]E(f337(f337(f65(x36421,x36422,x36423),x36424),f197(f893(x36421,a878))),x36424)
% 198.12/198.40 [3665]E(f337(f337(f167(x36651),f337(f337(f153(x36651),x36652),x36653)),f337(a115,x36654)),f337(f337(f167(x36651),x36653),x36654))
% 198.12/198.40 [3708]P31(x37081,f2(a884),f337(f337(f337(f93(x37081),x37082),f337(a28,x37083)),x37084))
% 198.12/198.40 [3733]E(f337(f337(x37331,x37332),f337(f193(x37333,x37334,x37331),x37332)),f337(f193(x37333,x37334,x37331),f337(a115,x37332)))
% 198.12/198.40 [3832]E(f337(f337(f161(x38321,f337(f337(f153(x38321),x38322),x38323)),f2(a884)),x38324),f337(f337(f153(x38321),x38324),x38323))
% 198.12/198.40 [3844]E(f337(f337(f42(f893(x38441,a878),f893(x38442,a878)),x38443),f316(x38441,x38442,x38444)),f337(f316(x38441,x38442,x38444),f40(f893(x38441,a878),x38443)))
% 198.12/198.40 [3845]E(f337(f337(f42(f893(x38451,a878),f893(x38452,a878)),x38453),f317(x38452,x38451,x38454)),f337(f317(x38452,x38451,x38454),f40(f893(x38451,a878),x38453)))
% 198.12/198.40 [3944]E(f187(x39441,x39442,f191(x39441,x39442,x39443,x39444)),f337(f337(f104(f893(x39441,a878)),f187(x39441,x39442,x39443)),x39444))
% 198.12/198.40 [3948]E(f337(f131(x39481,x39482),f130(x39481,x39483,x39484)),f337(f337(f81(a884),f337(f337(f81(a884),f337(x39482,x39483)),f337(f131(x39481,x39482),x39484))),f337(a115,f2(a884))))
% 198.12/198.40 [3968]E(f337(f144(x39681,x39682,f337(f7(x39682,x39681,x39681),x39683),x39684),f337(f171(x39682),f116(x39682))),x39684)
% 198.12/198.40 [4017]E(f77(x40171,x40172,x40173,x40174,f197(f893(x40171,a878))),x40173)
% 198.12/198.40 [4062]E(f337(f337(f337(f337(f73(x40621,f887(x40622)),f337(f16(f887(x40622),x40621),f210(x40622))),x40623),f210(x40622)),x40624),f210(x40622))
% 198.12/198.40 [4222]E(f337(f276(x42221,x42222,x42223),f337(f337(f8(f893(x42222,f892(x42221,x42222)),f893(x42222,x42223),x42221),f337(f8(f892(x42221,x42222),x42223,x42222),x42224)),f272(x42221,x42222))),x42224)
% 198.12/198.40 [3511]E(f337(f275(x35111,x35112),f337(f337(f272(x35111,x35112),x35113),x35114)),x35114)
% 198.12/198.40 [3512]E(f337(f271(x35121,x35122),f337(f337(f272(x35121,x35122),x35123),x35124)),x35123)
% 198.12/198.40 [3548]E(f337(f198(f885(x35481)),f337(f337(f156(x35482,x35481),x35483),x35484)),f337(f198(f885(x35482)),x35484))
% 198.12/198.40 [3549]E(f337(f198(f885(x35491)),f337(f337(f161(x35491,x35492),x35493),x35494)),f337(f198(f885(x35491)),x35492))
% 198.12/198.40 [3569]E(f337(f337(f140(x35691),f337(a115,x35692)),f337(f337(f153(x35691),x35693),x35694)),f337(f337(f140(x35691),x35692),x35694))
% 198.12/198.40 [3637]E(f337(f337(f178(x36371),x36372),f172(x36371,x36373,x36374)),f172(x36371,f337(f337(f249(a884),x36372),x36373),x36374))
% 198.12/198.40 [3638]E(f337(f337(f140(x36381),x36382),f172(x36381,x36383,x36384)),f172(x36381,f337(f337(f22(a884),x36383),x36382),x36384))
% 198.12/198.40 [3644]E(f337(f337(f315(x36441),x36442),f337(f337(f315(x36441),x36443),x36444)),f337(f337(f315(x36441),x36443),f337(f337(f315(x36441),x36442),x36444)))
% 198.12/198.40 [3647]E(f337(f337(f156(x36471,x36472),x36473),f117(x36471,x36474)),f117(x36472,f337(f337(f156(x36471,x36472),x36473),x36474)))
% 198.12/198.40 [3663]E(f337(f171(x36631),f337(f337(f156(x36632,x36631),x36633),x36634)),f337(f337(f156(x36632,x36631),x36633),f337(f171(x36632),x36634)))
% 198.12/198.40 [3664]E(f337(f337(f156(x36641,x36642),x36643),f337(f174(x36641),x36644)),f337(f174(x36642),f337(f337(f156(x36641,x36642),x36643),x36644)))
% 198.12/198.40 [3675]E(f337(f337(f178(x36751),f337(a115,x36752)),f337(f337(f153(x36751),x36753),x36754)),f337(f337(f153(x36751),x36753),f337(f337(f178(x36751),x36752),x36754)))
% 198.12/198.40 [3679]E(f337(f175(x36791),f337(f337(f156(x36792,x36791),x36793),x36794)),f337(f316(x36792,x36791,x36793),f337(f175(x36792),x36794)))
% 198.12/198.40 [3694]E(f337(f337(f156(x36941,x36942),f337(f16(x36942,x36941),x36943)),x36944),f172(x36942,f337(f198(f885(x36941)),x36944),x36943))
% 198.12/198.40 [3732]E(f17(x37321,x37322,x37323,f337(a3,f337(a115,f337(a19,x37324)))),f337(x37323,x37324))
% 198.12/198.40 [3735]E(f337(f337(f136(x37351),f337(f138(x37351,x37352),x37353)),f337(f138(x37351,x37352),x37354)),f337(f138(x37351,x37352),f337(f337(f136(x37351),x37353),x37354)))
% 198.12/198.40 [3748]E(f154(x37481,f337(f337(f156(x37482,x37481),x37483),f154(x37482,x37484))),f154(x37481,f337(f337(f156(x37482,x37481),x37483),x37484)))
% 198.12/198.40 [3764]E(f337(f292(x37641,x37641),f337(f337(f293(x37642,x37641),x37643),x37644)),f337(f337(f293(x37642,x37641),f337(f292(x37642,x37642),x37643)),x37644))
% 198.12/198.40 [3775]E(f337(f337(f294(x37751,x37752,x37753),x37754),f197(f893(f892(x37752,x37753),a878))),f197(f893(f892(x37751,x37753),a878)))
% 198.12/198.40 [3776]E(f337(f337(f178(x37761),f337(f337(f22(a884),x37762),x37763)),f337(f337(f140(x37761),x37763),x37764)),f337(f337(f140(x37761),x37763),f337(f337(f178(x37761),x37762),x37764)))
% 198.12/198.40 [3797]E(f337(f337(f136(x37971),f172(x37971,x37972,x37973)),f172(x37971,x37974,x37973)),f172(x37971,f337(f337(f81(a884),x37972),x37974),x37973))
% 198.12/198.40 [3824]E(f41(f893(x38241,a878),f337(f316(x38242,f893(x38241,a878),x38243),x38244)),f337(f337(f43(x38242,f893(x38241,a878)),x38244),x38243))
% 198.12/198.40 [3825]E(f40(f893(x38251,a878),f337(f316(x38252,f893(x38251,a878),x38253),x38254)),f337(f337(f42(x38252,f893(x38251,a878)),x38254),x38253))
% 198.12/198.40 [3826]E(f337(f198(f885(f892(x38261,x38262))),f337(f337(f185(x38261,x38262),x38263),x38264)),f337(f337(f249(a884),f337(f198(f885(x38261)),x38263)),f337(f198(f885(x38262)),x38264)))
% 198.12/198.40 [3828]E(f337(f317(x38281,x38282,x38283),f337(f80(f893(x38282,a878)),x38284)),f337(f80(f893(x38281,a878)),f337(f317(x38281,x38282,x38283),x38284)))
% 198.12/198.40 [3859]E(f337(f191(x38591,x38592,x38593,f197(f893(x38591,a878))),x38594),f210(x38592))
% 198.12/198.40 [3880]E(f337(f317(x38801,x38802,x38803),f337(f257(x38802),x38804)),f337(f257(x38801),f337(f337(f8(x38802,a878,x38801),x38804),x38803)))
% 198.12/198.40 [3898]E(f337(f337(f167(x38981),f337(f337(f136(x38981),x38982),f337(f337(f153(x38981),x38983),x38984))),f337(f198(f885(x38981)),x38982)),x38983)
% 198.12/198.40 [3903]E(f337(f191(x39031,x39032,f337(f16(f887(x39032),x39031),f210(x39032)),x39033),x39034),f210(x39032))
% 198.12/198.40 [3925]E(f337(f316(x39251,x39252,x39253),f337(f317(x39251,x39252,x39253),x39254)),f337(f337(f104(f893(x39252,a878)),x39254),f337(f316(x39251,x39252,x39253),f260(f893(x39251,a878)))))
% 198.12/198.40 [3943]P24(f337(f337(f339(x39431),f337(x39432,x39433)),f337(f316(x39434,x39431,x39432),f260(f893(x39434,a878)))))
% 198.12/198.40 [3955]E(f337(f337(f136(x39551),f172(x39551,x39552,x39553)),f337(f337(f153(x39551),x39553),x39554)),f337(f337(f153(x39551),x39553),f337(f337(f136(x39551),f172(x39551,x39552,x39553)),x39554)))
% 198.12/198.40 [3957]E(f337(f337(f274(x39571,x39572),f337(f175(x39571),x39573)),f337(f16(f893(x39572,a878),x39571),f337(f175(x39572),x39574))),f337(f175(f892(x39571,x39572)),f60(x39571,x39572,x39573,x39574)))
% 198.12/198.40 [3971]E(f157(x39711,x39712,f337(f337(f153(x39711),x39713),x39714)),f337(f337(f81(a884),f337(f337(f81(a884),f337(x39712,x39713)),f157(x39711,x39712,x39714))),f337(a115,f2(a884))))
% 198.12/198.40 [3986]E(f194(f885(x39861),f337(f337(f153(x39861),x39862),x39863),f337(f337(f7(a884,f885(x39861),f885(x39861)),f140(x39861)),x39863),x39864),f337(f337(f140(x39861),x39864),f337(f337(f153(x39861),x39862),x39863)))
% 198.12/198.40 [3987]P21(x39871,f892(x39872,x39871),f341(x39873,x39874,x39872,x39871),f337(f337(f42(x39872,f893(x39871,a878)),x39874),x39873))
% 198.12/198.40 [3996]E(f337(f337(f22(f893(x39961,a878)),f337(f337(f22(f893(x39961,a878)),x39962),x39963)),f337(f337(f315(x39961),x39964),f197(f893(x39961,a878)))),f337(f337(f22(f893(x39961,a878)),x39962),f337(f337(f315(x39961),x39964),x39963)))
% 198.12/198.40 [4008]E(f337(f337(f192(f893(x40081,x40082),f893(x40081,x40082)),x40083),f74(x40082,x40082,x40081,x40084)),f74(x40082,x40082,x40081,f337(f337(f192(x40082,x40082),x40083),x40084)))
% 198.12/198.40 [4085]E(f337(f337(f337(f192(f885(x40851),f885(x40851)),x40852),f170(x40851)),f337(f337(f337(f192(f885(x40851),f885(x40851)),x40853),f170(x40851)),x40854)),f337(f337(f337(f192(f885(x40851),f885(x40851)),f337(f337(f81(a884),x40852),x40853)),f170(x40851)),x40854))
% 198.12/198.40 [4174]P24(f337(f337(f251(f893(x41741,a878)),f337(f175(x41741),f337(f337(f161(x41741,x41742),x41743),x41744))),f337(f337(f315(x41741),x41744),f337(f175(x41741),x41742))))
% 198.12/198.40 [4212]E(f337(f337(f42(f893(x42121,a878),f893(f892(x42121,x42122),a878)),x42123),f337(f337(f7(f893(x42121,a878),f893(x42121,f893(x42122,a878)),f893(f892(x42121,x42122),a878)),f274(x42121,x42122)),x42124)),f337(f337(f274(x42121,x42122),f40(f893(x42121,a878),x42123)),x42124))
% 198.12/198.40 [4250]E(f222(x42501,x42502,x42503,f337(f74(x42502,f893(a102,f893(a102,f893(f892(a102,a102),f893(a102,f886(x42502))))),x42501,f217(x42502)),x42504)),f223(x42501,x42502,x42504,x42503))
% 198.12/198.40 [4267]E(f219(x42671,x42672,x42673,f337(f74(x42672,f893(a102,f893(a102,f893(f892(a102,a102),f893(a102,f886(f887(x42672)))))),x42671,f218(x42672)),x42674)),f220(x42671,x42672,x42674,x42673))
% 198.12/198.40 [4272]P24(f337(f67(x42721,x42722,x42723,x42724,f197(f893(x42721,a878))),x42724))
% 198.12/198.40 [4314]E(f337(f337(f42(x43141,f893(x43142,a878)),x43143),f337(f337(f7(x43141,f893(x43142,a878),f893(x43142,a878)),f337(f337(f8(x43142,f893(f893(x43142,a878),f893(x43142,a878)),x43141),f315(x43142)),x43144)),f197(f893(x43142,a878)))),f337(f316(x43141,x43142,x43144),x43143))
% 198.12/198.40 [4321]P24(f337(f337(f251(f893(x43211,a878)),f337(f268(x43212,x43211),f337(f337(f104(f893(f892(x43212,x43211),a878)),x43213),x43214))),f337(f337(f104(f893(x43211,a878)),f337(f268(x43212,x43211),x43213)),f337(f268(x43212,x43211),x43214))))
% 198.12/198.40 [4322]P24(f337(f337(f251(f893(x43221,a878)),f337(f270(x43221,x43222),f337(f337(f104(f893(f892(x43221,x43222),a878)),x43223),x43224))),f337(f337(f104(f893(x43221,a878)),f337(f270(x43221,x43222),x43223)),f337(f270(x43221,x43222),x43224))))
% 198.12/198.40 [4384]P24(f337(f337(f251(f893(f892(x43841,x43842),a878)),f337(f316(x43842,f892(x43841,x43842),f341(x43843,x43844,x43841,x43842)),f337(f337(f42(x43841,f893(x43842,a878)),x43844),x43843))),f337(f337(f274(x43841,x43842),x43844),x43843)))
% 198.12/198.40 [4385]E(f337(f121(x43851,f892(x43851,x43852),x43853),f337(f337(f8(f893(x43852,f886(f892(x43851,x43852))),f886(f892(x43851,x43852)),x43851),f121(x43852,f892(x43851,x43852),x43854)),f337(f337(f8(f893(x43852,f892(x43851,x43852)),f893(x43852,f886(f892(x43851,x43852))),x43851),f337(f8(f892(x43851,x43852),f886(f892(x43851,x43852)),x43852),f129(f892(x43851,x43852)))),f272(x43851,x43852)))),f133(x43851,x43852,x43853,x43854))
% 198.12/198.40 [4426]E(f86(f892(x44261,x44262),f337(f276(x44261,x44262,a878),f337(f337(f7(x44261,f893(x44262,a878),f893(x44262,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x44262,a878),f893(x44262,a878)),x44261),f8(a878,a878,x44262)),f337(f337(f8(a878,f893(a878,a878),x44261),a335),f337(a334,x44263)))),f337(a334,x44264)))),f337(f337(f272(x44261,x44262),x44263),x44264))
% 198.12/198.40 [4427]E(f91(f892(x44271,x44272),f337(f276(x44271,x44272,a878),f337(f337(f7(x44271,f893(x44272,a878),f893(x44272,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x44272,a878),f893(x44272,a878)),x44271),f8(a878,a878,x44272)),f337(f337(f8(a878,f893(a878,a878),x44271),a335),f337(a334,x44273)))),f337(a334,x44274)))),f337(f337(f272(x44271,x44272),x44273),x44274))
% 198.12/198.40 [4498]E(f337(f337(f276(f885(x44981),f885(x44981),f892(f885(x44981),f885(x44981))),f337(f337(f18(f885(x44981),f893(f885(x44981),f892(f885(x44981),f885(x44981))),f893(f885(x44981),f892(f885(x44981),f885(x44981)))),f337(f337(f8(f893(f885(x44981),f893(f892(f885(x44981),f885(x44981)),f892(f885(x44981),f885(x44981)))),f893(f893(f885(x44981),f892(f885(x44981),f885(x44981))),f893(f885(x44981),f892(f885(x44981),f885(x44981)))),f885(x44981)),f18(f885(x44981),f892(f885(x44981),f885(x44981)),f892(f885(x44981),f885(x44981)))),f337(f337(f8(f893(f885(x44981),f892(f885(x44981),f885(x44981))),f893(f885(x44981),f893(f892(f885(x44981),f885(x44981)),f892(f885(x44981),f885(x44981)))),f885(x44981)),f337(f8(f892(f885(x44981),f885(x44981)),f893(f892(f885(x44981),f885(x44981)),f892(f885(x44981),f885(x44981))),f885(x44981)),f337(f99(f892(f885(x44981),f885(x44981))),f337(x44982,x44983)))),f337(f337(f8(f885(x44981),f893(f885(x44981),f892(f885(x44981),f885(x44981))),f885(x44981)),f272(f885(x44981),f885(x44981))),f337(f153(x44981),x44983))))),f337(f337(f7(f885(x44981),f893(f885(x44981),f885(x44981)),f893(f885(x44981),f892(f885(x44981),f885(x44981)))),f337(f337(f8(f893(f885(x44981),f892(f885(x44981),f885(x44981))),f893(f893(f885(x44981),f885(x44981)),f893(f885(x44981),f892(f885(x44981),f885(x44981)))),f885(x44981)),f8(f885(x44981),f892(f885(x44981),f885(x44981)),f885(x44981))),f272(f885(x44981),f885(x44981)))),f337(f153(x44981),x44983)))),f169(x44981,x44982,x44984)),f169(x44981,x44982,f337(f337(f153(x44981),x44983),x44984)))
% 198.12/198.40 [4504]E(f337(f144(f893(x45041,f887(x45042)),f892(x45041,x45042),f337(f7(f892(x45041,x45042),f893(x45041,f887(x45042)),f893(x45041,f887(x45042))),f337(f276(x45041,x45042,f893(f893(x45041,f887(x45042)),f893(x45041,f887(x45042)))),f337(f337(f7(x45041,f893(x45042,f887(x45042)),f893(x45042,f893(f893(x45041,f887(x45042)),f893(x45041,f887(x45042))))),f337(f337(f8(f893(f887(x45042),f893(f893(x45041,f887(x45042)),f893(x45041,f887(x45042)))),f893(f893(x45042,f887(x45042)),f893(x45042,f893(f893(x45041,f887(x45042)),f893(x45041,f887(x45042))))),x45041),f8(f887(x45042),f893(f893(x45041,f887(x45042)),f893(x45041,f887(x45042))),x45042)),f337(f337(f8(f893(f893(x45041,f887(x45042)),f893(f887(x45042),f893(x45041,f887(x45042)))),f893(f887(x45042),f893(f893(x45041,f887(x45042)),f893(x45041,f887(x45042)))),x45041),f7(f893(x45041,f887(x45042)),f887(x45042),f893(x45041,f887(x45042)))),f337(f7(f893(x45041,f887(x45042)),x45041,f893(f887(x45042),f893(x45041,f887(x45042)))),f73(x45041,f887(x45042)))))),f209(x45042)))),x45043),f337(f171(f892(x45041,x45042)),x45044)),f188(x45041,x45042,x45043,f337(f181(x45041,x45042),x45044)))
% 198.12/198.40 [3588]E(f337(f198(f882(x35881)),f337(f337(f337(f93(x35881),x35882),x35883),x35884)),f2(a884))
% 198.12/198.40 [3711]E(f337(f337(f178(x37111),x37112),f337(f337(f178(x37111),x37113),x37114)),f337(f337(f178(x37111),f337(f337(f249(a884),x37112),x37113)),x37114))
% 198.12/198.40 [3712]E(f337(f337(f140(x37121),x37122),f337(f337(f140(x37121),x37123),x37124)),f337(f337(f140(x37121),f337(f337(f81(a884),x37122),x37123)),x37124))
% 198.12/198.40 [3724]E(f337(f337(f136(x37241),f337(f337(f153(x37241),x37242),x37243)),x37244),f337(f337(f153(x37241),x37242),f337(f337(f136(x37241),x37243),x37244)))
% 198.12/198.40 [3725]E(f337(f337(f136(x37251),f337(f337(f136(x37251),x37252),x37253)),x37254),f337(f337(f136(x37251),x37252),f337(f337(f136(x37251),x37253),x37254)))
% 198.12/198.40 [3808]E(f337(f337(f167(x38081),f337(f337(f153(x38081),x38082),x38083)),x38084),f194(x38081,x38082,f337(f167(x38081),x38083),x38084))
% 198.12/198.40 [3817]E(f337(f337(f192(x38171,x38171),x38172),f337(f337(f192(x38171,x38171),x38173),x38174)),f337(f337(f192(x38171,x38171),f337(f337(f82(a884),x38173),x38172)),x38174))
% 198.12/198.40 [3847]E(f337(f337(f113(f893(x38471,a878)),x38472),f337(f337(f315(x38471),x38473),x38474)),f337(f337(f315(x38471),x38473),f337(f337(f113(f893(x38471,a878)),x38472),x38474)))
% 198.12/198.40 [3862]E(f337(f337(f337(f192(x38621,x38621),x38622),x38623),f337(x38623,x38624)),f337(x38623,f337(f337(f337(f192(x38621,x38621),x38622),x38623),x38624)))
% 198.12/198.40 [3870]E(f337(f337(f294(x38701,x38702,x38703),f197(f893(f892(x38701,x38702),a878))),x38704),f197(f893(f892(x38701,x38703),a878)))
% 198.12/198.40 [3886]E(f337(f337(f113(f893(x38861,a878)),f337(f337(f315(x38861),x38862),x38863)),x38864),f337(f337(f315(x38861),x38862),f337(f337(f113(f893(x38861,a878)),x38863),x38864)))
% 198.12/198.40 [3906]E(f188(x39061,x39062,f337(f181(x39061,x39062),x39063),f337(f181(x39061,x39062),x39064)),f337(f181(x39061,x39062),f337(f337(f136(f892(x39061,x39062)),x39064),x39063)))
% 198.12/198.40 [3907]E(f337(f38(f892(x39071,x39072)),f337(f337(f274(x39071,x39072),x39073),f337(f16(f893(x39072,a878),x39071),x39074))),f337(f337(f82(a884),f337(f38(x39071),x39073)),f337(f38(x39072),x39074)))
% 198.12/198.40 [3914]E(f337(f337(f104(f893(x39141,a878)),f337(f337(f315(x39141),x39142),x39143)),f337(f337(f315(x39141),x39142),x39144)),f337(f337(f315(x39141),x39142),f337(f337(f104(f893(x39141,a878)),x39143),x39144)))
% 198.12/198.40 [3929]E(f337(f337(f113(f893(x39291,a878)),x39292),f337(f337(f113(f893(x39291,a878)),x39293),x39294)),f337(f337(f113(f893(x39291,a878)),x39293),f337(f337(f113(f893(x39291,a878)),x39292),x39294)))
% 198.12/198.40 [3930]E(f337(f337(f104(f893(x39301,a878)),x39302),f337(f337(f104(f893(x39301,a878)),x39303),x39304)),f337(f337(f104(f893(x39301,a878)),x39303),f337(f337(f104(f893(x39301,a878)),x39302),x39304)))
% 198.12/198.40 [3939]E(f65(x39391,x39392,f337(f337(f8(x39392,f893(x39392,x39392),x39391),x39393),x39394)),f337(f66(x39392,x39391,x39393),x39394))
% 198.12/198.40 [3949]E(f183(x39491,f337(f337(f156(f885(x39492),f885(x39491)),f337(f156(x39492,x39491),x39493)),x39494)),f337(f337(f156(f885(x39492),f885(x39491)),f337(f156(x39492,x39491),x39493)),f183(x39492,x39494)))
% 198.12/198.40 [3967]E(f337(f144(f885(x39671),f885(x39671),f136(x39671),f116(x39671)),f337(f337(f156(x39672,f885(x39671)),x39673),x39674)),f166(x39672,x39671,x39673,x39674))
% 198.12/198.40 [3970]E(f191(x39701,x39702,x39703,f337(f80(f893(x39701,a878)),f337(f337(f315(x39701),x39704),f197(f893(x39701,a878))))),f337(f337(f337(f73(x39701,f887(x39702)),x39703),x39704),f210(x39702)))
% 198.12/198.40 [4013]E(f337(f337(f337(f73(x40131,f887(x40132)),f337(f181(x40131,x40132),x40133)),f337(f271(x40131,x40132),x40134)),f337(f209(x40132),f337(f275(x40131,x40132),x40134))),f337(f181(x40131,x40132),f337(f337(f153(f892(x40131,x40132)),x40134),x40133)))
% 198.12/198.40 [4030]E(f337(f74(x40301,x40301,x40301,f337(f337(f192(x40301,x40301),x40302),x40303)),f337(f337(f192(x40301,x40301),x40304),x40303)),f337(f337(f192(x40301,x40301),f337(f337(f81(a884),x40302),x40304)),x40303))
% 198.12/198.40 [4054]E(f337(f337(f104(f893(x40541,a878)),f337(f337(f113(f893(x40541,a878)),x40542),x40543)),f337(f337(f113(f893(x40541,a878)),x40542),x40544)),f337(f337(f113(f893(x40541,a878)),x40542),f337(f337(f104(f893(x40541,a878)),x40543),x40544)))
% 198.12/198.40 [4055]E(f337(f337(f104(f893(x40551,a878)),f337(f337(f22(f893(x40551,a878)),x40552),x40553)),f337(f337(f22(f893(x40551,a878)),x40552),x40554)),f337(f337(f22(f893(x40551,a878)),x40552),f337(f337(f113(f893(x40551,a878)),x40553),x40554)))
% 198.12/198.40 [4056]E(f337(f337(f113(f893(x40561,a878)),f337(f337(f22(f893(x40561,a878)),x40562),x40563)),f337(f337(f22(f893(x40561,a878)),x40562),x40564)),f337(f337(f22(f893(x40561,a878)),x40562),f337(f337(f104(f893(x40561,a878)),x40563),x40564)))
% 198.12/198.40 [4057]E(f337(f337(f113(f893(x40571,a878)),f337(f337(f104(f893(x40571,a878)),x40572),x40573)),f337(f337(f104(f893(x40571,a878)),x40572),x40574)),f337(f337(f104(f893(x40571,a878)),x40572),f337(f337(f113(f893(x40571,a878)),x40573),x40574)))
% 198.12/198.40 [4058]E(f337(f337(f22(f893(x40581,a878)),f337(f337(f104(f893(x40581,a878)),x40582),x40583)),f337(f337(f104(f893(x40581,a878)),x40582),x40584)),f337(f337(f104(f893(x40581,a878)),x40582),f337(f337(f22(f893(x40581,a878)),x40583),x40584)))
% 198.12/198.40 [4064]E(f337(f38(f892(x40641,x40642)),f337(f337(f274(x40641,x40642),f337(f337(f315(x40641),x40643),f197(f893(x40641,a878)))),f337(f16(f893(x40642,a878),x40641),x40644))),f337(f38(x40642),x40644))
% 198.12/198.40 [4101]E(f337(f337(f43(x41011,f893(x41012,a878)),x41013),f337(f337(f8(f893(x41012,a878),f893(x41012,a878),x41011),f80(f893(x41012,a878))),x41014)),f337(f80(f893(x41012,a878)),f337(f337(f42(x41011,f893(x41012,a878)),x41013),x41014)))
% 198.12/198.40 [4102]E(f337(f337(f42(x41021,f893(x41022,a878)),x41023),f337(f337(f8(f893(x41022,a878),f893(x41022,a878),x41021),f80(f893(x41022,a878))),x41024)),f337(f80(f893(x41022,a878)),f337(f337(f43(x41021,f893(x41022,a878)),x41023),x41024)))
% 198.12/198.40 [4118]E(f337(f337(f294(x41181,x41181,x41181),f337(f337(f192(f892(x41181,x41181),a878),x41182),x41183)),f337(f337(f192(f892(x41181,x41181),a878),x41184),x41183)),f337(f337(f192(f892(x41181,x41181),a878),f337(f337(f81(a884),x41182),x41184)),x41183))
% 198.12/198.40 [4149]E(f337(f337(f43(x41491,f893(f893(x41492,a878),a878)),x41493),f337(f337(f8(f893(x41492,a878),f893(f893(x41492,a878),a878),x41491),f314(x41492)),x41494)),f337(f314(x41492),f337(f337(f43(x41491,f893(x41492,a878)),x41493),x41494)))
% 198.12/198.40 [4179]E(f337(f337(f42(f893(x41791,a878),f893(x41792,a878)),x41793),f337(f337(f7(f893(x41791,a878),f893(x41791,f893(x41792,a878)),f893(x41792,a878)),f42(x41791,f893(x41792,a878))),x41794)),f337(f337(f42(x41791,f893(x41792,a878)),f40(f893(x41791,a878),x41793)),x41794))
% 198.12/198.40 [4180]E(f337(f337(f43(f893(x41801,a878),f893(x41802,a878)),x41803),f337(f337(f7(f893(x41801,a878),f893(x41801,f893(x41802,a878)),f893(x41802,a878)),f43(x41801,f893(x41802,a878))),x41804)),f337(f337(f43(x41801,f893(x41802,a878)),f40(f893(x41801,a878),x41803)),x41804))
% 198.12/198.40 [4185]E(f337(f337(f156(x41851,x41852),x41853),f337(f144(f885(x41851),f885(x41851),f136(x41851),f116(x41851)),x41854)),f337(f144(f885(x41852),f885(x41852),f136(x41852),f116(x41852)),f337(f337(f156(f885(x41851),f885(x41852)),f337(f156(x41851,x41852),x41853)),x41854)))
% 198.12/198.40 [4189]E(f194(f885(x41891),f116(x41891),f337(f337(f8(f885(x41891),f885(x41891),a884),f337(f153(x41891),x41892)),f337(f337(f7(a884,f885(x41891),f885(x41891)),f178(x41891)),x41893)),x41894),f337(f337(f178(x41891),x41894),f337(f337(f153(x41891),x41892),x41893)))
% 198.12/198.40 [4232]P24(f337(f337(f251(f893(x42321,a878)),f337(f316(x42322,x42321,x42323),f337(f317(x42322,x42321,x42323),x42324))),x42324))
% 198.12/198.40 [4235]E(f337(f316(f892(x42351,x42352),f892(x42352,x42351),f337(f276(x42351,x42352,f892(x42352,x42351)),f337(f7(x42352,x42351,f892(x42352,x42351)),f272(x42352,x42351)))),f337(f337(f274(x42351,x42352),x42353),f337(f16(f893(x42352,a878),x42351),x42354))),f337(f337(f274(x42352,x42351),x42354),f337(f16(f893(x42351,a878),x42352),x42353)))
% 198.12/198.40 [4244]E(f337(f337(f42(x42441,f893(x42442,a878)),x42443),f337(f337(f8(f893(x42441,a878),f893(x42442,a878),x42441),f291(x42441,x42442,x42444)),f337(f337(f7(x42441,f893(x42441,a878),f893(x42441,a878)),f315(x42441)),f197(f893(x42441,a878))))),f337(f291(x42441,x42442,x42444),x42443))
% 198.12/198.40 [4245]E(f337(f337(f42(x42451,f893(x42452,a878)),x42453),f337(f337(f8(f893(x42451,a878),f893(x42452,a878),x42451),f317(x42452,x42451,x42454)),f337(f337(f7(x42451,f893(x42451,a878),f893(x42451,a878)),f315(x42451)),f197(f893(x42451,a878))))),f337(f317(x42452,x42451,x42454),x42453))
% 198.12/198.40 [4336]E(f337(f337(f113(f893(x43361,a878)),f337(f337(f113(f893(x43361,a878)),f337(f337(f104(f893(x43361,a878)),x43362),x43363)),f337(f337(f104(f893(x43361,a878)),x43363),x43364))),f337(f337(f104(f893(x43361,a878)),x43364),x43362)),f337(f337(f104(f893(x43361,a878)),f337(f337(f104(f893(x43361,a878)),f337(f337(f113(f893(x43361,a878)),x43362),x43363)),f337(f337(f113(f893(x43361,a878)),x43363),x43364))),f337(f337(f113(f893(x43361,a878)),x43364),x43362)))
% 198.12/198.40 [4399]E(f337(f144(f885(x43991),f885(x43991),f136(x43991),f116(x43991)),f337(f337(f156(x43992,f885(x43991)),f337(f337(f7(x43992,f885(x43991),f885(x43991)),f337(f337(f8(x43991,f893(f885(x43991),f885(x43991)),x43992),f153(x43991)),x43993)),f116(x43991))),x43994)),f337(f337(f156(x43992,x43991),x43993),x43994))
% 198.12/198.40 [4410]E(f337(f337(f87(a1,x44101),f337(f106(a1),f337(f337(f81(a1),x44102),a100))),f337(f337(f18(a1,x44101,x44101),f337(f337(f7(a1,x44101,f893(x44101,x44101)),f337(f337(f8(a878,f893(x44101,f893(x44101,x44101)),a1),f99(x44101)),a202)),x44103)),f337(f337(f8(a884,x44101,a1),x44104),a107))),f194(x44101,x44103,x44104,f337(f106(a884),x44102)))
% 198.12/198.40 [4616]~P24(f337(f337(f197(f893(x46161,f893(x46162,a878))),x46163),x46164))
% 198.12/198.40 [3873]E(f337(f337(f167(x38731),f337(f337(f136(x38731),x38732),x38733)),f337(f337(f81(a884),f337(f198(f885(x38731)),x38732)),x38734)),f337(f337(f167(x38731),x38733),x38734))
% 198.12/198.40 [3879]E(f337(f337(f140(x38791),x38792),f337(f337(f178(x38791),f337(f337(f81(a884),x38793),x38792)),x38794)),f337(f337(f178(x38791),x38793),f337(f337(f140(x38791),x38792),x38794)))
% 198.12/198.40 [3984]E(f337(f337(f113(f893(x39841,a878)),f337(f268(x39842,x39841),x39843)),f337(f268(x39842,x39841),x39844)),f337(f268(x39842,x39841),f337(f337(f113(f893(f892(x39842,x39841),a878)),x39843),x39844)))
% 198.12/198.40 [3985]E(f337(f337(f113(f893(x39851,a878)),f337(f270(x39851,x39852),x39853)),f337(f270(x39851,x39852),x39854)),f337(f270(x39851,x39852),f337(f337(f113(f893(f892(x39851,x39852),a878)),x39853),x39854)))
% 198.12/198.40 [3990]E(f337(f337(f113(f893(x39901,a878)),f337(f337(f113(f893(x39901,a878)),x39902),x39903)),x39904),f337(f337(f113(f893(x39901,a878)),x39902),f337(f337(f113(f893(x39901,a878)),x39903),x39904)))
% 198.12/198.40 [3991]E(f337(f337(f22(f893(x39911,a878)),f337(f337(f104(f893(x39911,a878)),x39912),x39913)),x39914),f337(f337(f104(f893(x39911,a878)),x39912),f337(f337(f22(f893(x39911,a878)),x39913),x39914)))
% 198.12/198.40 [3992]E(f337(f337(f104(f893(x39921,a878)),f337(f337(f104(f893(x39921,a878)),x39922),x39923)),x39924),f337(f337(f104(f893(x39921,a878)),x39922),f337(f337(f104(f893(x39921,a878)),x39923),x39924)))
% 198.12/198.40 [4032]E(f337(f337(f113(f893(f892(x40321,x40322),a878)),f337(f292(x40322,x40321),x40323)),f337(f292(x40322,x40321),x40324)),f337(f292(x40322,x40321),f337(f337(f113(f893(f892(x40322,x40321),a878)),x40323),x40324)))
% 198.12/198.40 [4033]E(f337(f337(f104(f893(f892(x40331,x40332),a878)),f337(f292(x40332,x40331),x40333)),f337(f292(x40332,x40331),x40334)),f337(f292(x40332,x40331),f337(f337(f104(f893(f892(x40332,x40331),a878)),x40333),x40334)))
% 198.12/198.40 [4047]E(f337(f337(f113(f893(x40471,f893(x40472,a878))),f261(x40472,x40471,x40473)),f261(x40472,x40471,x40474)),f261(x40472,x40471,f337(f337(f113(f893(x40472,f893(x40471,a878))),x40473),x40474)))
% 198.12/198.40 [4048]E(f337(f337(f104(f893(x40481,f893(x40482,a878))),f261(x40482,x40481,x40483)),f261(x40482,x40481,x40484)),f261(x40482,x40481,f337(f337(f104(f893(x40482,f893(x40481,a878))),x40483),x40484)))
% 198.12/198.40 [4105]E(f337(f337(f104(f893(x41051,a878)),f337(f337(f113(f893(x41051,a878)),x41052),x41053)),f337(f337(f113(f893(x41051,a878)),x41054),x41053)),f337(f337(f113(f893(x41051,a878)),f337(f337(f104(f893(x41051,a878)),x41052),x41054)),x41053))
% 198.12/198.40 [4106]E(f337(f337(f113(f893(x41061,a878)),f337(f337(f22(f893(x41061,a878)),x41062),x41063)),f337(f337(f22(f893(x41061,a878)),x41064),x41063)),f337(f337(f22(f893(x41061,a878)),f337(f337(f113(f893(x41061,a878)),x41062),x41064)),x41063))
% 198.12/198.40 [4107]E(f337(f337(f113(f893(x41071,a878)),f337(f337(f104(f893(x41071,a878)),x41072),x41073)),f337(f337(f104(f893(x41071,a878)),x41074),x41073)),f337(f337(f104(f893(x41071,a878)),f337(f337(f113(f893(x41071,a878)),x41072),x41074)),x41073))
% 198.12/198.40 [4108]E(f337(f337(f22(f893(x41081,a878)),f337(f337(f104(f893(x41081,a878)),x41082),x41083)),f337(f337(f104(f893(x41081,a878)),x41084),x41083)),f337(f337(f104(f893(x41081,a878)),f337(f337(f22(f893(x41081,a878)),x41082),x41084)),x41083))
% 198.12/198.40 [4109]E(f337(f337(f22(f893(x41091,a878)),f337(f337(f104(f893(x41091,a878)),x41092),x41093)),f337(f337(f104(f893(x41091,a878)),x41094),x41093)),f337(f337(f22(f893(x41091,a878)),f337(f337(f104(f893(x41091,a878)),x41092),x41093)),x41094))
% 198.12/198.40 [4121]E(f337(f337(f22(f893(x41211,a878)),f337(f337(f22(f893(x41211,a878)),x41212),f337(f337(f315(x41211),x41213),f197(f893(x41211,a878))))),x41214),f337(f337(f22(f893(x41211,a878)),x41212),f337(f337(f315(x41211),x41213),x41214)))
% 198.12/198.40 [4176]E(f337(f337(f113(f893(x41761,a878)),f337(f337(f315(x41761),x41762),f337(f337(f315(x41761),x41763),f197(f893(x41761,a878))))),f337(f290(x41761),x41764)),f337(f290(x41761),f337(f337(f315(f892(x41761,x41761)),f337(f337(f272(x41761,x41761),x41762),x41763)),x41764)))
% 198.12/198.40 [4207]E(f337(f337(f42(a884,f893(x42071,a878)),f337(f306(a884),x42072)),f337(f337(f8(a884,f893(x42071,a878),a884),x42073),f337(f337(f7(a884,a884,a884),f81(a884)),x42074))),f337(f337(f42(a884,f893(x42071,a878)),f308(a884,x42074,f337(f337(f81(a884),x42072),x42074))),x42073))
% 198.12/198.40 [4208]E(f177(x42081,f337(f291(x42081,x42081,x42082),f337(f337(f315(x42081),x42083),f197(f893(x42081,a878)))),f337(f291(f885(x42081),f885(x42081),f160(x42081,x42082)),f337(f337(f315(f885(x42081)),x42084),f197(f893(f885(x42081),a878))))),f337(f291(f885(x42081),f885(x42081),f160(x42081,x42082)),f337(f337(f315(f885(x42081)),f337(f337(f153(x42081),x42083),x42084)),f197(f893(f885(x42081),a878)))))
% 198.12/198.40 [4270]E(f337(f181(x42701,x42702),f337(f337(f156(x42701,f892(x42701,x42702)),f337(f337(f18(x42701,x42702,f892(x42701,x42702)),f272(x42701,x42702)),x42703)),x42704)),f191(x42701,x42702,f337(f74(x42702,f887(x42702),x42701,f209(x42702)),x42703),f337(f175(x42701),x42704)))
% 198.12/198.40 [4275]E(f337(f257(x42751),f337(f337(f7(x42751,f893(x42752,a878),a878),f337(f337(f8(x42752,f893(f893(x42752,a878),a878),x42751),f339(x42752)),x42753)),x42754)),f337(f317(x42751,x42752,x42753),x42754))
% 198.12/198.40 [4369]E(f337(f257(x43691),f337(f337(f7(x43691,f893(f892(x43692,x43691),a878),a878),f337(f337(f8(f892(x43692,x43691),f893(f893(f892(x43692,x43691),a878),a878),x43691),f339(f892(x43692,x43691))),f337(f272(x43692,x43691),x43693))),x43694)),f337(f291(x43692,x43691,x43694),f337(f337(f315(x43692),x43693),f197(f893(x43692,a878)))))
% 198.12/198.40 [4383]E(f337(f337(f156(f892(x43831,a884),x43831),f271(x43831,a884)),f337(f138(f892(x43831,a884),f337(f337(f8(a884,a878,f892(x43831,a884)),x43832),f337(f337(f8(a884,a884,f892(x43831,a884)),a115),f275(x43831,a884)))),f337(f337(f185(x43831,a884),x43833),x43834))),f337(f337(f156(f892(x43831,a884),x43831),f271(x43831,a884)),f337(f138(f892(x43831,a884),f337(f337(f8(a884,a878,f892(x43831,a884)),x43832),f275(x43831,a884))),f337(f337(f185(x43831,a884),x43833),f337(f337(f156(a884,a884),a115),x43834)))))
% 198.12/198.40 [4392]P24(f337(f337(f251(f893(f893(x43921,a878),a878)),f337(f337(f42(x43922,f893(f893(x43921,a878),a878)),x43923),f337(f337(f8(f893(x43921,a878),f893(f893(x43921,a878),a878),x43922),f314(x43921)),x43924))),f337(f314(x43921),f337(f337(f42(x43922,f893(x43921,a878)),x43923),x43924))))
% 198.12/198.40 [4434]E(f337(f337(f87(a1,x44341),f337(f106(a1),f337(f337(f81(a1),x44342),a100))),f337(f337(f18(a1,x44341,x44341),f337(f337(f7(a1,x44341,f893(x44341,x44341)),f337(f337(f8(a878,f893(x44341,f893(x44341,x44341)),a1),f99(x44341)),a202)),x44343)),f337(f337(f18(a1,x44341,x44341),f337(f337(f8(a884,f893(x44341,x44341),a1),x44344),a107)),f337(f337(f8(a884,x44341,a1),f193(x44341,x44343,x44344)),a107)))),f337(f193(x44341,x44343,x44344),f337(f106(a884),x44342)))
% 198.12/198.40 [4437]E(f337(f337(f156(x44371,x44372),f337(f74(f887(x44372),x44372,x44371,f248(x44372)),x44373)),f337(f138(x44371,f337(f337(f8(a878,a878,x44371),a332),f337(f337(f7(x44371,f887(x44372),a878),f337(f337(f8(f887(x44372),f893(f887(x44372),a878),x44371),a334),x44373)),f210(x44372)))),x44374)),f165(x44371,x44372,x44373,x44374))
% 198.12/198.40 [4460]E(f337(f257(f892(x44601,x44602)),f337(f276(x44601,x44602,a878),f337(f337(f7(x44601,f893(x44602,a878),f893(x44602,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x44602,a878),f893(x44602,a878)),x44601),f8(a878,a878,x44602)),f337(f337(f8(a878,f893(a878,a878),x44601),a335),f337(f337(f7(x44601,f893(x44601,a878),a878),f339(x44601)),x44603)))),f337(f337(f7(x44602,f893(x44602,a878),a878),f339(x44602)),x44604)))),f241(x44601,x44602,x44603,x44604))
% 198.12/198.40 [4493]E(f337(f337(f42(x44931,f893(f892(x44931,x44932),a878)),x44933),f337(f337(f18(x44931,f893(x44932,f893(f892(x44931,x44932),a878)),f893(f892(x44931,x44932),a878)),f337(f337(f8(f893(x44932,a878),f893(f893(x44932,f893(f892(x44931,x44932),a878)),f893(f892(x44931,x44932),a878)),x44931),f42(x44932,f893(f892(x44931,x44932),a878))),x44934)),f337(f337(f7(x44931,f893(f892(x44931,x44932),a878),f893(x44932,f893(f892(x44931,x44932),a878))),f337(f337(f8(f893(x44932,f893(f893(f892(x44931,x44932),a878),f893(f892(x44931,x44932),a878))),f893(f893(f892(x44931,x44932),a878),f893(x44932,f893(f892(x44931,x44932),a878))),x44931),f7(x44932,f893(f892(x44931,x44932),a878),f893(f892(x44931,x44932),a878))),f337(f337(f8(f893(x44932,f892(x44931,x44932)),f893(x44932,f893(f893(f892(x44931,x44932),a878),f893(f892(x44931,x44932),a878))),x44931),f337(f8(f892(x44931,x44932),f893(f893(f892(x44931,x44932),a878),f893(f892(x44931,x44932),a878)),x44932),f315(f892(x44931,x44932)))),f272(x44931,x44932)))),f197(f893(f892(x44931,x44932),a878))))),f337(f337(f274(x44931,x44932),x44933),x44934))
% 198.12/198.40 [4042]E(f337(f337(f136(x40421),f337(f337(f178(x40421),x40422),x40423)),f337(f337(f178(x40421),f337(f337(f22(a884),x40422),f337(f198(f885(x40421)),x40423))),x40424)),f337(f337(f178(x40421),x40422),f337(f337(f136(x40421),x40423),x40424)))
% 198.12/198.40 [4043]E(f337(f337(f136(x40431),f337(f337(f140(x40431),x40432),x40433)),f337(f337(f140(x40431),f337(f337(f22(a884),x40432),f337(f198(f885(x40431)),x40433))),x40434)),f337(f337(f140(x40431),x40432),f337(f337(f136(x40431),x40433),x40434)))
% 198.12/198.40 [4094]E(f337(f337(f81(a884),f337(f337(f82(a884),x40941),x40942)),f337(f337(f81(a884),f337(f337(f82(a884),x40943),x40942)),x40944)),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f81(a884),x40941),x40943)),x40942)),x40944))
% 198.12/198.40 [4300]P24(f337(f337(f251(f893(x43001,a878)),f337(f337(f22(f893(x43001,a878)),f337(f268(x43002,x43001),x43003)),f337(f268(x43002,x43001),x43004))),f337(f268(x43002,x43001),f337(f337(f22(f893(f892(x43002,x43001),a878)),x43003),x43004))))
% 198.12/198.40 [4301]P24(f337(f337(f251(f893(x43011,a878)),f337(f337(f22(f893(x43011,a878)),f337(f270(x43011,x43012),x43013)),f337(f270(x43011,x43012),x43014))),f337(f270(x43011,x43012),f337(f337(f22(f893(f892(x43011,x43012),a878)),x43013),x43014))))
% 198.12/198.40 [4412]E(f337(f337(f81(a1),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x44121),x44122)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x44123),x44124)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),f337(f337(f81(a884),x44121),x44123)),f337(f337(f81(a884),x44122),x44124))),f197(f893(f892(a884,a884),a878))))))
% 198.12/198.40 [4455]E(f337(f337(f82(a1),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x44551),x44552)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x44553),x44554)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),f337(f337(f81(a884),f337(f337(f82(a884),x44551),x44553)),f337(f337(f82(a884),x44552),x44554))),f337(f337(f81(a884),f337(f337(f82(a884),x44551),x44554)),f337(f337(f82(a884),x44552),x44553)))),f197(f893(f892(a884,a884),a878))))))
% 198.12/198.40 [4475]E(f337(f257(x44751),f337(f337(f8(f893(x44752,a878),a878,x44751),f89(x44752)),f337(f337(f8(f893(x44752,a878),f893(x44752,a878),x44751),f337(f18(x44752,a878,a878),f337(f337(f8(a878,f893(a878,a878),x44752),a340),f337(f337(f7(x44752,f893(x44752,a878),a878),f339(x44752)),x44753)))),f337(f337(f7(x44751,f893(x44752,f893(x44751,a878)),f893(x44752,a878)),f337(f337(f8(f893(f893(x44751,a878),a878),f893(f893(x44752,f893(x44751,a878)),f893(x44752,a878)),x44751),f8(f893(x44751,a878),a878,x44752)),f339(x44751))),x44754)))),f337(f337(f43(x44752,f893(x44751,a878)),x44753),x44754))
% 198.12/198.40 [4508]E(f337(f337(f294(x45081,x45081,x45081),f337(f337(f315(f892(x45081,x45081)),f337(f337(f272(x45081,x45081),x45082),x45083)),x45084)),f313(x45081,f337(f337(f315(f892(x45081,x45081)),f337(f337(f272(x45081,x45081),x45082),x45083)),x45084))),f337(f337(f113(f893(f892(x45081,x45081),a878)),f337(f337(f294(x45081,x45081,x45081),x45084),f313(x45081,x45084))),f337(f257(f892(x45081,x45081)),f337(f276(x45081,x45081,a878),f337(f337(f7(x45081,f893(x45081,a878),f893(x45081,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x45081,a878),f893(x45081,a878)),x45081),f8(a878,a878,x45081)),f337(f337(f8(a878,f893(a878,a878),x45081),a335),f337(f337(f7(x45081,f893(f892(x45081,x45081),a878),a878),f337(f337(f8(f892(x45081,x45081),f893(f893(f892(x45081,x45081),a878),a878),x45081),f339(f892(x45081,x45081))),f337(f337(f7(x45081,x45081,f892(x45081,x45081)),f272(x45081,x45081)),x45082))),f313(x45081,x45084))))),f337(f337(f7(x45081,f893(f892(x45081,x45081),a878),a878),f337(f337(f8(f892(x45081,x45081),f893(f893(f892(x45081,x45081),a878),a878),x45081),f339(f892(x45081,x45081))),f337(f272(x45081,x45081),x45083))),f313(x45081,x45084)))))))
% 198.12/198.40 [4302]E(f337(f138(x43021,f337(f337(f18(x43021,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43021),a335),x43022)),x43023)),x43024),f337(f138(x43021,x43023),f337(f138(x43021,x43022),x43024)))
% 198.12/198.40 [4406]E(f337(f337(f136(x44061),f337(f337(f337(f99(f885(x44061)),f337(f337(f339(a884),f2(a884)),x44062)),f337(f337(f153(x44061),x44063),f116(x44061))),f116(x44061))),f179(x44061,x44064,f337(f257(a884),f337(f337(f7(a884,f893(a884,a878),a878),f337(f337(f8(a884,f893(f893(a884,a878),a878),a884),f339(a884)),a115)),x44062)))),f179(x44061,f337(f337(f153(x44061),x44063),x44064),x44062))
% 198.12/198.40 [4502]E(f337(f257(f892(x45021,x45022)),f337(f337(f8(f893(a884,a878),a878,f892(x45021,x45022)),f88(a884)),f337(f337(f7(f892(x45021,x45022),f893(a884,a878),f893(a884,a878)),f337(f337(f8(f893(a884,f893(a878,a878)),f893(f893(a884,a878),f893(a884,a878)),f892(x45021,x45022)),f18(a884,a878,a878)),f337(f337(f8(f893(a884,a878),f893(a884,f893(a878,a878)),f892(x45021,x45022)),f337(f8(a878,f893(a878,a878),a884),a335)),f337(f337(f7(f892(x45021,x45022),f893(a884,f892(x45021,x45022)),f893(a884,a878)),f337(f337(f8(f893(f892(x45021,x45022),a878),f893(f893(a884,f892(x45021,x45022)),f893(a884,a878)),f892(x45021,x45022)),f8(f892(x45021,x45022),a878,a884)),a334)),f337(f337(f18(a884,x45022,f892(x45021,x45022)),f337(f337(f8(x45021,f893(x45022,f892(x45021,x45022)),a884),f272(x45021,x45022)),f337(f167(x45021),x45023))),f337(f167(x45022),x45024)))))),f337(f337(f7(a884,a884,a878),f252(a884)),f337(f337(f249(a884),f337(f198(f885(x45021)),x45023)),f337(f198(f885(x45022)),x45024)))))),f337(f175(f892(x45021,x45022)),f337(f337(f185(x45021,x45022),x45023),x45024)))
% 198.12/198.40 [4425]E(f337(f257(f892(x44251,x44252)),f337(f276(x44251,x44252,a878),f337(f337(f7(x44251,f893(x44252,a878),f893(x44252,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x44252,a878),f893(x44252,a878)),x44251),f8(a878,a878,x44252)),f337(f337(f8(a878,f893(a878,a878),x44251),a335),x44253))),x44254))),f337(f337(f274(x44251,x44252),f337(f257(x44251),x44253)),f337(f16(f893(x44252,a878),x44251),f337(f257(x44252),x44254))))
% 198.12/198.40 [4428]E(f337(f257(f892(x44281,x44282)),f337(f276(x44281,x44282,a878),f337(f337(f18(x44281,f893(x44282,a878),f893(x44282,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x44282,a878),f893(x44282,a878)),x44281),f8(a878,a878,x44282)),f337(f337(f8(a878,f893(a878,a878),x44281),a335),x44283))),x44284))),f337(f337(f274(x44281,x44282),f337(f257(x44281),x44283)),f337(f337(f8(f893(x44282,a878),f893(x44282,a878),x44281),f257(x44282)),x44284)))
% 198.12/198.40 [4444]E(f337(f257(x44441),f337(f337(f8(f893(x44442,a878),a878,x44441),f89(x44442)),f337(f337(f8(f893(x44442,a878),f893(x44442,a878),x44441),f337(f18(x44442,a878,a878),f337(f337(f8(a878,f893(a878,a878),x44442),a340),f337(f337(f7(x44442,f893(x44442,a878),a878),f339(x44442)),x44443)))),x44444))),f337(f337(f43(x44442,f893(x44441,a878)),x44443),f337(f337(f8(f893(x44441,a878),f893(x44441,a878),x44442),f257(x44441)),f337(f7(x44441,x44442,a878),x44444))))
% 198.12/198.40 [4488]E(f337(f337(f156(f892(x44881,a884),x44881),f271(x44881,a884)),f337(f138(f892(x44881,a884),f337(f337(f7(f892(x44881,a884),f893(a884,a878),a878),f337(f337(f8(a884,f893(f893(a884,a878),a878),f892(x44881,a884)),f339(a884)),f275(x44881,a884))),x44882)),f337(f337(f185(x44881,a884),x44883),f141(a884,f337(f307(a884,x44884),f337(f337(f81(a884),x44884),f337(f198(f885(x44881)),x44883))))))),f337(f337(f156(f892(x44881,a884),x44881),f271(x44881,a884)),f337(f138(f892(x44881,a884),f337(f337(f7(f892(x44881,a884),f893(a884,a878),a878),f337(f337(f8(a884,f893(f893(a884,a878),a878),f892(x44881,a884)),f339(a884)),f337(f337(f7(f892(x44881,a884),a884,a884),f337(f337(f8(a884,f893(a884,a884),f892(x44881,a884)),f81(a884)),f275(x44881,a884))),x44884))),x44882)),f337(f337(f185(x44881,a884),x44883),f141(a884,f337(f307(a884,f2(a884)),f337(f198(f885(x44881)),x44883)))))))
% 198.12/198.40 [4489]E(f337(a115,f337(f337(f250(a884),f337(f198(f885(x44891)),x44892)),f337(f144(a884,f885(x44893),f337(f7(f885(x44893),a884,a884),f337(f337(f8(a884,f893(a884,a884),f885(x44893)),f250(a884)),f337(f337(f7(f885(x44893),a884,a884),f337(f337(f8(a884,f893(a884,a884),f885(x44893)),f22(a884)),f198(f885(x44893)))),f337(a115,f2(a884))))),f2(a884)),f337(f171(f885(x44893)),f337(f138(f885(x44893),f337(f337(f8(a878,a878,f885(x44893)),a332),f337(f337(f7(f885(x44893),f885(x44893),a878),a334),f116(x44893)))),x44894))))),f337(f337(f250(a884),f337(a115,f337(f198(f885(x44891)),x44892))),f337(f144(a884,f885(x44893),f337(f7(f885(x44893),a884,a884),f337(f337(f8(a884,f893(a884,a884),f885(x44893)),f250(a884)),f198(f885(x44893)))),f2(a884)),f337(f171(f885(x44893)),x44894))))
% 198.12/198.40 [4443]E(f337(f337(f136(x44431),f179(x44431,x44432,x44433)),f179(x44431,x44434,f337(f257(a884),f337(f337(f7(a884,f893(a884,a878),a878),f337(f337(f8(a884,f893(f893(a884,a878),a878),a884),f339(a884)),f337(f337(f7(a884,a884,a884),f81(a884)),f337(f198(f885(x44431)),x44432)))),x44433)))),f179(x44431,f337(f337(f136(x44431),x44432),x44434),x44433))
% 198.12/198.40 [4495]E(f337(f337(f153(f885(x44951)),f337(f337(f153(x44951),x44952),f337(f144(f885(x44951),f885(x44951),f136(x44951),f116(x44951)),f337(f337(f156(f885(x44951),f885(x44951)),f158(f885(x44951),x44951,f116(x44951),f337(f337(f8(f885(x44951),f893(f885(x44951),f885(x44951)),x44951),f16(f885(x44951),f885(x44951))),f337(f337(f7(x44951,f885(x44951),f885(x44951)),f153(x44951)),f116(x44951))))),x44953)))),f183(x44951,f337(f337(f153(f885(x44951)),x44954),f337(f144(f885(f885(x44951)),f885(f885(x44951)),f136(f885(x44951)),f116(f885(x44951))),f337(f337(f156(f885(x44951),f885(f885(x44951))),f158(f885(f885(x44951)),x44951,f116(f885(x44951)),f337(f16(f893(f885(x44951),f885(f885(x44951))),x44951),f337(f337(f7(f885(x44951),f885(f885(x44951)),f885(f885(x44951))),f153(f885(x44951))),f116(f885(x44951)))))),x44953))))),f183(x44951,f337(f337(f153(f885(x44951)),f337(f337(f153(x44951),x44952),x44954)),x44953)))
% 198.12/198.40 [4503]E(f337(f257(f892(x45031,x45031)),f337(f276(x45031,x45031,a878),f337(f337(f7(x45031,f893(f892(x45032,x45032),a878),f893(x45031,a878)),f337(f337(f8(f893(x45031,f893(f893(f892(x45032,x45032),a878),a878)),f893(f893(f892(x45032,x45032),a878),f893(x45031,a878)),x45031),f7(x45031,f893(f892(x45032,x45032),a878),a878)),f337(f337(f8(f893(x45031,f892(x45032,x45032)),f893(x45031,f893(f893(f892(x45032,x45032),a878),a878)),x45031),f337(f8(f892(x45032,x45032),f893(f893(f892(x45032,x45032),a878),a878),x45031),f339(f892(x45032,x45032)))),f337(f337(f7(x45031,f893(x45031,x45032),f893(x45031,f892(x45032,x45032))),f337(f337(f8(f893(x45032,f892(x45032,x45032)),f893(f893(x45031,x45032),f893(x45031,f892(x45032,x45032))),x45031),f8(x45032,f892(x45032,x45032),x45031)),f337(f337(f8(x45032,f893(x45032,f892(x45032,x45032)),x45031),f272(x45032,x45032)),x45033))),x45033)))),x45034))),f337(f337(f293(x45032,x45031),x45034),x45033))
% 198.12/198.40 [4563]~E(f33(x45631,x45632),f30(x45633,x45634,x45635))
% 198.12/198.40 [4564]~E(f33(x45641,x45642),f29(x45643,x45644,x45645))
% 198.12/198.40 [4565]~E(f32(x45651,x45652),f30(x45653,x45654,x45655))
% 198.12/198.40 [4566]~E(f32(x45661,x45662),f29(x45663,x45664,x45665))
% 198.12/198.40 [4567]~E(f30(x45671,x45672,x45673),f33(x45674,x45675))
% 198.12/198.40 [4568]~E(f30(x45681,x45682,x45683),f32(x45684,x45685))
% 198.12/198.40 [4569]~E(f29(x45691,x45692,x45693),f33(x45694,x45695))
% 198.12/198.40 [4570]~E(f29(x45701,x45702,x45703),f32(x45704,x45705))
% 198.12/198.40 [3608]E(f337(f337(f156(x36081,x36082),x36083),f172(x36081,x36084,x36085)),f172(x36082,x36084,f337(x36083,x36085)))
% 198.12/198.40 [3982]E(f337(f188(x39821,x39822,x39823,x39824),x39825),f337(f246(f887(x39822),x39822,f337(x39823,x39825),f209(x39822)),f337(x39824,x39825)))
% 198.12/198.40 [4069]E(f188(x40691,x40692,f188(x40691,x40692,x40693,x40694),x40695),f188(x40691,x40692,x40693,f188(x40691,x40692,x40694,x40695)))
% 198.12/198.40 [4249]E(f273(x42491,x42492,x42493,f261(x42492,x42491,x42494),f261(x42493,x42492,x42495)),f261(x42493,x42491,f273(x42493,x42492,x42491,x42495,x42494)))
% 198.12/198.40 [4256]E(f337(f337(f113(f893(x42561,a878)),f337(f175(x42561),f337(f337(f178(x42561),f337(f198(f885(x42562)),x42563)),x42564))),f187(x42561,x42562,x42565)),f187(x42561,x42562,f190(x42561,x42562,x42565,x42564,x42563)))
% 198.12/198.40 [3802]E(f337(f337(f276(x38021,x38022,x38023),x38024),x38025),f337(f337(x38024,f337(f271(x38021,x38022),x38025)),f337(f275(x38021,x38022),x38025)))
% 198.12/198.40 [3829]E(f337(f246(x38291,x38292,x38293,x38294),f337(f209(x38292),x38295)),f337(x38294,x38295))
% 198.12/198.40 [3839]E(f337(f337(f337(f66(x38391,x38392,x38393),x38394),x38395),f197(f893(x38392,a878))),x38395)
% 198.12/198.40 [3981]E(f130(f887(x39811),f337(f337(f211(x39812,x39811),x39813),x39814),f124(x39812,x39811,x39813,x39815)),f124(x39812,x39811,x39813,f130(f887(x39812),x39814,x39815)))
% 198.12/198.40 [4014]E(f247(x40141,x40142,x40143,x40144,f337(f209(x40142),x40145)),f337(x40144,x40145))
% 198.12/198.40 [4127]E(f337(f74(f887(x41271),f887(x41272),f887(x41273),f337(f211(x41271,x41272),x41274)),f337(f211(x41273,x41271),x41275)),f337(f211(x41273,x41272),f337(f74(x41271,x41272,x41273,x41274),x41275)))
% 198.12/198.40 [4129]E(f337(f74(f885(x41291),f885(x41292),f885(x41293),f337(f156(x41291,x41292),x41294)),f337(f156(x41293,x41291),x41295)),f337(f156(x41293,x41292),f337(f74(x41291,x41292,x41293,x41294),x41295)))
% 198.12/198.40 [4186]E(f337(f246(x41861,f892(x41862,f886(x41862)),x41863,f337(f276(x41862,f886(x41862),x41861),x41864)),f337(f137(x41862),x41865)),f132(x41861,x41862,x41863,x41864,x41865))
% 198.12/198.40 [4187]E(f125(x41871,f124(x41872,f886(f887(x41871)),f337(f337(f7(x41872,a102,f886(f887(x41871))),x41873),x41874),f337(x41875,x41874))),f337(f204(x41872,x41871,x41875,x41873),x41874))
% 198.12/198.40 [4211]E(f86(x42111,f67(x42112,x42111,x42113,x42114,x42115)),f337(f337(f65(x42112,x42111,x42113),x42114),x42115))
% 198.12/198.40 [4247]E(f337(f337(f81(a884),f337(f337(f81(a884),f337(x42471,f337(f271(x42472,x42473),x42474))),f337(x42475,f337(f275(x42472,x42473),x42474)))),f337(a115,f2(a884))),f280(x42472,x42473,x42471,x42475,x42474))
% 198.12/198.40 [4439]E(f165(x44391,x44392,f337(f337(f7(x44391,f887(x44392),f887(x44392)),f337(f337(f18(x44391,f887(x44392),f893(f887(x44392),f887(x44392))),f337(f337(f8(a878,f893(f887(x44392),f893(f887(x44392),f887(x44392))),x44391),f99(f887(x44392))),x44393)),f337(f337(f8(x44392,f887(x44392),x44391),f209(x44392)),x44394))),f210(x44392)),x44395),f337(f337(f156(x44391,x44392),x44394),f337(f138(x44391,x44393),x44395)))
% 198.12/198.40 [4608]~E(f337(f337(f337(f73(x46081,f887(x46082)),x46083),x46084),f337(f209(x46082),x46085)),f337(f16(f887(x46082),x46081),f210(x46082)))
% 198.12/198.40 [3736]E(f337(f337(f178(x37361),x37362),f337(f337(f156(x37363,x37361),x37364),x37365)),f337(f337(f156(x37363,x37361),x37364),f337(f337(f178(x37363),x37362),x37365)))
% 198.12/198.40 [3737]E(f337(f337(f140(x37371),x37372),f337(f337(f156(x37373,x37371),x37374),x37375)),f337(f337(f156(x37373,x37371),x37374),f337(f337(f140(x37373),x37372),x37375)))
% 198.12/198.40 [3770]E(f337(f337(f156(x37701,x37702),x37703),f337(f337(f153(x37701),x37704),x37705)),f337(f337(f153(x37702),f337(x37703,x37704)),f337(f337(f156(x37701,x37702),x37703),x37705)))
% 198.12/198.40 [3833]E(f337(f316(x38331,x38332,x38333),f337(f337(f315(x38331),x38334),x38335)),f337(f337(f315(x38332),f337(x38333,x38334)),f337(f316(x38331,x38332,x38333),x38335)))
% 198.12/198.40 [3863]E(f176(x38631,f337(f337(f153(x38631),x38632),x38633),f337(f337(f153(x38631),x38634),x38635)),f337(f337(f153(x38631),x38632),f337(f337(f153(x38631),x38634),f176(x38631,x38633,x38635))))
% 198.12/198.40 [3900]E(f337(f337(f185(x39001,x39002),f337(f337(f178(x39001),x39003),x39004)),f337(f337(f178(x39002),x39003),x39005)),f337(f337(f178(f892(x39001,x39002)),x39003),f337(f337(f185(x39001,x39002),x39004),x39005)))
% 198.12/198.40 [3901]E(f337(f337(f185(x39011,x39012),f337(f337(f140(x39011),x39013),x39014)),f337(f337(f140(x39012),x39013),x39015)),f337(f337(f140(f892(x39011,x39012)),x39013),f337(f337(f185(x39011,x39012),x39014),x39015)))
% 198.12/198.40 [3913]E(f337(f337(f161(x39131,f337(f337(f153(x39131),x39132),x39133)),f337(a115,x39134)),x39135),f337(f337(f153(x39131),x39132),f337(f337(f161(x39131,x39133),x39134),x39135)))
% 198.12/198.40 [3916]E(f337(f246(f887(x39161),x39162,f210(x39161),x39163),f337(f337(f16(f887(x39162),x39164),f210(x39162)),x39165)),f210(x39161))
% 198.12/198.40 [3918]E(f337(f337(f136(x39181),f337(f337(f156(x39182,x39181),x39183),x39184)),f337(f337(f156(x39182,x39181),x39183),x39185)),f337(f337(f156(x39182,x39181),x39183),f337(f337(f136(x39182),x39184),x39185)))
% 198.12/198.40 [3922]E(f337(f337(x39221,x39222),f337(f337(f263(x39223,x39224,x39221),x39222),x39225)),f337(f337(f263(x39223,x39224,x39221),x39222),f337(a115,x39225)))
% 198.12/198.40 [3952]E(f166(x39521,x39522,x39523,f337(f337(f153(x39521),x39524),x39525)),f337(f337(f136(x39522),f337(x39523,x39524)),f166(x39521,x39522,x39523,x39525)))
% 198.12/198.40 [3965]E(f337(f337(f294(x39651,x39652,x39653),f337(f292(x39652,x39651),x39654)),f337(f292(x39653,x39652),x39655)),f337(f292(x39653,x39651),f337(f337(f294(x39653,x39652,x39651),x39655),x39654)))
% 198.12/198.40 [4000]E(f337(f337(f337(f192(f885(x40001),f885(x40001)),x40002),f170(x40001)),f337(f337(f156(x40003,x40001),x40004),x40005)),f337(f337(f156(x40003,x40001),x40004),f337(f337(f337(f192(f885(x40003),f885(x40003)),x40002),f170(x40003)),x40005)))
% 198.12/198.40 [4001]E(f337(f337(f278(x40011,x40012,x40011,x40013),f337(f272(x40012,x40011),x40014)),x40015),f337(x40015,x40014))
% 198.12/198.40 [4028]E(f157(x40281,x40282,f337(f337(f156(x40283,x40281),x40284),x40285)),f157(x40283,f337(f74(x40281,a884,x40283,x40282),x40284),x40285))
% 198.12/198.40 [4092]E(f337(f337(f74(f887(x40921),f887(x40922),x40923,f337(f211(x40921,x40922),x40924)),f337(f16(f887(x40921),x40923),f210(x40921))),x40925),f210(x40922))
% 198.12/198.40 [4093]E(f180(f892(x40931,x40932),f337(f74(x40932,a878,f892(x40931,x40932),x40933),f275(x40931,x40932)),f337(f337(f185(x40931,x40932),x40934),x40935)),f337(f337(f185(x40931,x40932),x40934),f180(x40932,x40933,x40935)))
% 198.12/198.40 [4099]E(f337(f316(x40991,x40992,f337(f337(f8(x40993,x40992,x40991),x40994),x40995)),f260(f893(x40991,a878))),f337(f316(x40993,x40992,x40994),f337(f316(x40991,x40993,x40995),f260(f893(x40991,a878)))))
% 198.12/198.40 [4112]E(f180(f892(x41121,x41122),f337(f74(x41121,a878,f892(x41121,x41122),x41123),f271(x41121,x41122)),f337(f337(f185(x41121,x41122),x41124),x41125)),f337(f337(f185(x41121,x41122),f180(x41121,x41123,x41124)),x41125))
% 198.12/198.40 [4133]E(f337(f337(f113(f893(x41331,a878)),f337(f317(x41331,x41332,x41333),f337(f337(f315(x41332),x41334),f197(f893(x41332,a878))))),f337(f317(x41331,x41332,x41333),x41335)),f337(f317(x41331,x41332,x41333),f337(f337(f315(x41332),x41334),x41335)))
% 198.12/198.40 [4194]E(f337(f337(f136(f892(x41941,x41942)),f337(f337(f156(x41942,f892(x41941,x41942)),f337(f272(x41941,x41942),x41943)),x41944)),f60(x41941,x41942,x41945,x41944)),f60(x41941,x41942,f337(f337(f153(x41941),x41943),x41945),x41944))
% 198.12/198.40 [4195]E(f337(f337(f156(x41951,x41952),x41953),f180(x41951,f337(f74(x41952,a878,x41951,x41954),x41953),x41955)),f180(x41952,x41954,f337(f337(f156(x41951,x41952),x41953),x41955)))
% 198.12/198.40 [4202]E(f337(f144(x42021,x42022,f337(f7(x42022,x42021,x42021),f337(f7(x42021,x42022,x42021),x42023)),x42024),f337(f171(x42022),f337(f171(x42022),x42025))),f337(f144(x42021,x42022,x42023,x42024),x42025))
% 198.12/198.40 [4203]E(f337(f337(f337(f73(x42031,f887(x42032)),f191(x42031,x42032,x42033,x42034)),x42035),f337(x42033,x42035)),f191(x42031,x42032,x42033,f337(f337(f315(x42031),x42035),x42034)))
% 198.12/198.40 [4273]E(f337(f246(f885(x42731),x42731,f165(x42732,x42731,x42733,x42734),f337(f337(f7(x42731,f885(x42731),f885(x42731)),f153(x42731)),f165(x42732,x42731,x42733,x42734))),f337(x42733,x42735)),f165(x42732,x42731,x42733,f337(f337(f153(x42732),x42735),x42734)))
% 198.12/198.40 [4310]P24(f337(f337(f251(f893(x43101,a878)),f337(f316(x43102,x43101,x43103),f337(f337(f104(f893(x43102,a878)),x43104),x43105))),f337(f337(f104(f893(x43101,a878)),f337(f316(x43102,x43101,x43103),x43104)),f337(f316(x43102,x43101,x43103),x43105))))
% 198.12/198.40 [4311]P24(f337(f337(f251(f893(x43111,a878)),f337(f291(x43112,x43111,x43113),f337(f337(f104(f893(x43112,a878)),x43114),x43115))),f337(f337(f104(f893(x43111,a878)),f337(f291(x43112,x43111,x43113),x43114)),f337(f291(x43112,x43111,x43113),x43115))))
% 198.12/198.40 [4413]E(f337(f275(x44131,x44132),f337(f277(x44133,x44131,x44132,x44132,x44134,f34(x44132)),x44135)),f337(f275(x44133,x44132),x44135))
% 198.12/198.40 [4414]E(f337(f271(x44141,x44142),f337(f277(x44141,x44141,x44143,x44142,f34(x44141),x44144),x44145)),f337(f271(x44141,x44143),x44145))
% 198.12/198.40 [4499]E(f337(f144(f893(x44991,f887(x44992)),f892(x44991,x44992),f337(f337(f8(f893(x44991,f893(x44992,f893(x44991,f887(x44992)))),f893(f892(x44991,x44992),f893(x44991,f887(x44992))),f893(x44991,f887(x44992))),f276(x44991,x44992,f893(x44991,f887(x44992)))),f337(f337(f7(f893(x44991,f887(x44992)),f893(x44992,f887(x44992)),f893(x44991,f893(x44992,f893(x44991,f887(x44992))))),f337(f337(f8(f893(x44991,f893(f893(x44992,f887(x44992)),f893(x44992,f893(x44991,f887(x44992))))),f893(f893(x44992,f887(x44992)),f893(x44991,f893(x44992,f893(x44991,f887(x44992))))),f893(x44991,f887(x44992))),f7(x44991,f893(x44992,f887(x44992)),f893(x44992,f893(x44991,f887(x44992))))),f337(f337(f8(f893(x44991,f893(f887(x44992),f893(x44991,f887(x44992)))),f893(x44991,f893(f893(x44992,f887(x44992)),f893(x44992,f893(x44991,f887(x44992))))),f893(x44991,f887(x44992))),f337(f8(f893(f887(x44992),f893(x44991,f887(x44992))),f893(f893(x44992,f887(x44992)),f893(x44992,f893(x44991,f887(x44992)))),x44991),f8(f887(x44992),f893(x44991,f887(x44992)),x44992))),f73(x44991,f887(x44992))))),f209(x44992))),x44993),f337(f337(f185(x44991,x44992),x44994),x44995)),f190(x44991,x44992,x44993,x44994,x44995))
% 198.12/198.40 [4501]P20(x45011,x45012,f337(f337(f315(f882(x45011)),f337(f337(f337(f93(x45011),f337(f337(f7(x45011,f893(a879,a878),f893(a879,a878)),f337(f337(f8(f893(a879,f893(a878,a878)),f893(f893(a879,a878),f893(a879,a878)),x45011),f18(a879,a878,a878)),f337(f337(f8(f893(a879,a878),f893(a879,f893(a878,a878)),x45011),f337(f8(a878,f893(a878,a878),a879),a335)),x45013))),f337(f337(f8(a878,a878,a879),a332),x45014))),f32(x45014,x45015)),x45013)),f197(f893(f882(x45011),a878))))
% 198.12/198.40 [3576]E(f337(f337(f337(f337(f217(x35761),x35762),x35763),x35764),x35765),f212(x35761,x35762))
% 198.12/198.40 [3577]E(f337(f337(f337(f337(f218(x35771),x35772),x35773),x35774),x35775),f201(x35771,x35772))
% 198.12/198.40 [3624]E(f96(x36241,x36242,f337(f337(f337(f93(x36241),x36243),x36244),x36245)),f2(a884))
% 198.12/198.40 [3720]E(f337(f337(f337(f337(f73(x37201,x37202),x37203),x37204),x37205),x37204),x37205)
% 198.12/198.40 [3953]E(f337(f337(f42(x39531,f893(x39532,a878)),f337(f337(f315(x39531),x39533),x39534)),x39535),f337(f337(f113(f893(x39532,a878)),f337(x39535,x39533)),f337(f337(f42(x39531,f893(x39532,a878)),x39534),x39535)))
% 198.12/198.40 [3954]E(f337(f337(f43(x39541,f893(x39542,a878)),f337(f337(f315(x39541),x39543),x39544)),x39545),f337(f337(f104(f893(x39542,a878)),f337(x39545,x39543)),f337(f337(f43(x39541,f893(x39542,a878)),x39544),x39545)))
% 198.12/198.40 [4007]E(f337(f121(x40071,x40072,f337(x40073,x40074)),f337(f337(f7(x40071,a102,f886(x40072)),x40075),x40074)),f337(f207(x40071,x40072,x40073,x40075),x40074))
% 198.12/198.40 [4021]E(f337(f337(f113(f893(x40211,a878)),f337(f316(x40212,x40211,x40213),x40214)),f337(f316(x40212,x40211,x40213),x40215)),f337(f316(x40212,x40211,x40213),f337(f337(f113(f893(x40212,a878)),x40214),x40215)))
% 198.12/198.40 [4022]E(f337(f337(f113(f893(x40221,a878)),f337(f291(x40222,x40221,x40223),x40224)),f337(f291(x40222,x40221,x40223),x40225)),f337(f291(x40222,x40221,x40223),f337(f337(f113(f893(x40222,a878)),x40224),x40225)))
% 198.12/198.40 [4023]E(f337(f337(f113(f893(x40231,a878)),f337(f317(x40231,x40232,x40233),x40234)),f337(f317(x40231,x40232,x40233),x40235)),f337(f317(x40231,x40232,x40233),f337(f337(f113(f893(x40232,a878)),x40234),x40235)))
% 198.12/198.40 [4024]E(f337(f337(f22(f893(x40241,a878)),f337(f317(x40241,x40242,x40243),x40244)),f337(f317(x40241,x40242,x40243),x40245)),f337(f317(x40241,x40242,x40243),f337(f337(f22(f893(x40242,a878)),x40244),x40245)))
% 198.12/198.40 [4025]E(f337(f337(f104(f893(x40251,a878)),f337(f317(x40251,x40252,x40253),x40254)),f337(f317(x40251,x40252,x40253),x40255)),f337(f317(x40251,x40252,x40253),f337(f337(f104(f893(x40252,a878)),x40254),x40255)))
% 198.12/198.40 [4027]E(f191(x40271,x40272,f191(x40271,x40272,x40273,x40274),x40275),f191(x40271,x40272,x40273,f337(f337(f104(f893(x40271,a878)),x40274),x40275)))
% 198.12/198.40 [4088]E(f337(f337(f161(x40881,f337(f337(f136(x40881),x40882),f337(f337(f153(x40881),x40883),x40884))),f337(f198(f885(x40881)),x40882)),x40885),f337(f337(f136(x40881),x40882),f337(f337(f153(x40881),x40885),x40884)))
% 198.12/198.40 [4096]E(f337(f337(f43(x40961,f893(x40962,a878)),x40963),f337(f337(f8(f893(x40962,a878),f893(x40962,a878),x40961),f337(f315(x40962),x40964)),x40965)),f337(f337(f315(x40962),x40964),f337(f337(f43(x40961,f893(x40962,a878)),x40963),x40965)))
% 198.12/198.40 [4167]E(f191(x41671,x41672,f337(f337(f337(f73(x41671,f887(x41672)),x41673),x41674),f337(f209(x41672),x41675)),f337(f80(f893(x41671,a878)),f337(f337(f315(x41671),x41674),f197(f893(x41671,a878))))),f191(x41671,x41672,x41673,f337(f80(f893(x41671,a878)),f337(f337(f315(x41671),x41674),f197(f893(x41671,a878))))))
% 198.12/198.40 [4260]E(f337(f337(f156(x42601,x42602),x42603),f337(f138(x42601,f337(f74(x42602,a878,x42601,x42604),x42603)),x42605)),f337(f138(x42602,x42604),f337(f337(f156(x42601,x42602),x42603),x42605)))
% 198.12/198.40 [4266]E(f337(f198(f885(x42661)),f337(f138(x42661,x42662),f337(f337(f156(x42663,x42661),x42664),x42665))),f337(f198(f885(x42663)),f337(f138(x42663,f337(f74(x42661,a878,x42663,x42662),x42664)),x42665)))
% 198.12/198.40 [4405]E(f337(f337(f113(f893(x44051,a878)),f337(f337(f22(f893(x44051,a878)),f187(x44051,x44052,x44053)),f337(f257(x44051),f337(f337(f7(x44051,f893(x44051,a878),a878),f339(x44051)),f337(f337(f22(f893(x44051,a878)),x44054),f187(x44051,x44052,x44055)))))),f337(f257(x44051),f337(f337(f7(x44051,f893(x44051,a878),a878),f339(x44051)),f337(f337(f104(f893(x44051,a878)),x44054),f187(x44051,x44052,x44055))))),f187(x44051,x44052,f77(x44051,f887(x44052),x44053,x44055,x44054)))
% 198.12/198.40 [4480]E(f337(f158(f885(f892(x44801,x44802)),x44802,f116(f892(x44801,x44802)),f337(f337(f7(x44802,f893(f885(x44802),f885(f892(x44801,x44802))),f893(f885(x44802),f885(f892(x44801,x44802)))),f337(f337(f8(f893(f885(f892(x44801,x44802)),f885(f892(x44801,x44802))),f893(f893(f885(x44802),f885(f892(x44801,x44802))),f893(f885(x44802),f885(f892(x44801,x44802)))),x44802),f8(f885(f892(x44801,x44802)),f885(f892(x44801,x44802)),f885(x44802))),f337(f337(f8(f892(x44801,x44802),f893(f885(f892(x44801,x44802)),f885(f892(x44801,x44802))),x44802),f153(f892(x44801,x44802))),f337(f272(x44801,x44802),x44803)))),f337(f185(x44801,x44802),x44804))),x44805),f337(f337(f185(x44801,x44802),f337(f337(f153(x44801),x44803),x44804)),x44805))
% 198.12/198.40 [3947]E(f337(f337(f161(x39471,f337(f337(f161(x39471,x39472),x39473),x39474)),x39473),x39475),f337(f337(f161(x39471,x39472),x39473),x39475))
% 198.12/198.40 [4002]E(f337(f268(x40021,x40022),f337(f337(f315(f892(x40021,x40022)),f337(f337(f272(x40021,x40022),x40023),x40024)),x40025)),f337(f337(f315(x40022),x40024),f337(f268(x40021,x40022),x40025)))
% 198.12/198.40 [4003]E(f337(f270(x40031,x40032),f337(f337(f315(f892(x40031,x40032)),f337(f337(f272(x40031,x40032),x40033),x40034)),x40035)),f337(f337(f315(x40031),x40033),f337(f270(x40031,x40032),x40035)))
% 198.12/198.40 [4081]E(f337(f337(f113(f893(f892(x40811,x40812),a878)),f337(f337(f274(x40811,x40812),x40813),x40814)),f337(f337(f274(x40811,x40812),x40815),x40814)),f337(f337(f274(x40811,x40812),f337(f337(f113(f893(x40811,a878)),x40813),x40815)),x40814))
% 198.12/198.40 [4082]E(f337(f337(f22(f893(f892(x40821,x40822),a878)),f337(f337(f274(x40821,x40822),x40823),x40824)),f337(f337(f274(x40821,x40822),x40825),x40824)),f337(f337(f274(x40821,x40822),f337(f337(f22(f893(x40821,a878)),x40823),x40825)),x40824))
% 198.12/198.40 [4083]E(f337(f337(f104(f893(f892(x40831,x40832),a878)),f337(f337(f274(x40831,x40832),x40833),x40834)),f337(f337(f274(x40831,x40832),x40835),x40834)),f337(f337(f274(x40831,x40832),f337(f337(f104(f893(x40831,a878)),x40833),x40835)),x40834))
% 198.12/198.40 [4145]E(f337(f337(f113(f893(x41451,a878)),f337(f337(f42(x41452,f893(x41451,a878)),x41453),x41454)),f337(f337(f42(x41452,f893(x41451,a878)),x41455),x41454)),f337(f337(f42(x41452,f893(x41451,a878)),f337(f337(f113(f893(x41452,a878)),x41453),x41455)),x41454))
% 198.12/198.40 [4146]E(f337(f337(f104(f893(x41461,a878)),f337(f337(f43(x41462,f893(x41461,a878)),x41463),x41464)),f337(f337(f43(x41462,f893(x41461,a878)),x41465),x41464)),f337(f337(f43(x41462,f893(x41461,a878)),f337(f337(f113(f893(x41462,a878)),x41463),x41465)),x41464))
% 198.12/198.40 [4160]E(f337(f337(f42(x41601,f893(x41602,a878)),x41603),f337(f337(f8(f893(x41602,a878),f893(x41602,a878),x41601),f337(f22(f893(x41602,a878)),x41604)),x41605)),f337(f337(f22(f893(x41602,a878)),x41604),f337(f337(f43(x41601,f893(x41602,a878)),x41603),x41605)))
% 198.12/198.40 [4161]E(f337(f337(f42(x41611,f893(x41612,a878)),x41613),f337(f337(f8(f893(x41612,a878),f893(x41612,a878),x41611),f337(f104(f893(x41612,a878)),x41614)),x41615)),f337(f337(f104(f893(x41612,a878)),x41614),f337(f337(f42(x41611,f893(x41612,a878)),x41613),x41615)))
% 198.12/198.40 [4162]E(f337(f337(f43(x41621,f893(x41622,a878)),x41623),f337(f337(f8(f893(x41622,a878),f893(x41622,a878),x41621),f337(f113(f893(x41622,a878)),x41624)),x41625)),f337(f337(f113(f893(x41622,a878)),x41624),f337(f337(f43(x41621,f893(x41622,a878)),x41623),x41625)))
% 198.12/198.40 [4201]E(f188(x42011,x42012,x42013,f337(f181(x42011,x42012),f337(f171(f892(x42011,x42012)),f337(f337(f185(x42011,x42012),x42014),x42015)))),f190(x42011,x42012,x42013,x42014,x42015))
% 198.12/198.40 [4223]E(f194(f885(x42231),f337(f337(f153(x42231),x42232),x42233),f337(f337(f8(f885(x42231),f885(x42231),a884),f337(f153(x42231),x42234)),f337(f337(f7(a884,x42231,f885(x42231)),f161(x42231,x42233)),x42232)),x42235),f337(f337(f161(x42231,f337(f337(f153(x42231),x42234),x42233)),x42235),x42232))
% 198.12/198.40 [4227]E(f337(f337(f42(x42271,f893(f892(x42272,x42273),a878)),x42274),f337(f337(f8(f893(f892(x42273,x42272),a878),f893(f892(x42272,x42273),a878),x42271),f292(x42273,x42272)),x42275)),f337(f292(x42273,x42272),f337(f337(f42(x42271,f893(f892(x42273,x42272),a878)),x42274),x42275)))
% 198.12/198.40 [4228]E(f337(f337(f43(x42281,f893(f892(x42282,x42283),a878)),x42284),f337(f337(f8(f893(f892(x42283,x42282),a878),f893(f892(x42282,x42283),a878),x42281),f292(x42283,x42282)),x42285)),f337(f292(x42283,x42282),f337(f337(f43(x42281,f893(f892(x42283,x42282),a878)),x42284),x42285)))
% 198.12/198.40 [4284]E(f187(x42841,x42842,f337(f337(f18(x42841,f887(x42843),f887(x42842)),f337(f337(f8(f893(x42843,x42842),f893(f887(x42843),f887(x42842)),x42841),f211(x42843,x42842)),x42844)),x42845)),f187(x42841,x42843,x42845))
% 198.12/198.40 [4335]P24(f337(f337(f251(f893(x43351,a878)),f337(f337(f22(f893(x43351,a878)),f337(f316(x43352,x43351,x43353),x43354)),f337(f316(x43352,x43351,x43353),x43355))),f337(f316(x43352,x43351,x43353),f337(f337(f22(f893(x43352,a878)),x43354),x43355))))
% 198.12/198.40 [4484]E(f337(f158(f885(f892(x44841,x44842)),x44841,f116(f892(x44841,x44842)),f337(f337(f7(x44841,f893(f885(x44841),f885(f892(x44841,x44842))),f893(f885(x44841),f885(f892(x44841,x44842)))),f337(f337(f8(f893(f885(f892(x44841,x44842)),f885(f892(x44841,x44842))),f893(f893(f885(x44841),f885(f892(x44841,x44842))),f893(f885(x44841),f885(f892(x44841,x44842)))),x44841),f8(f885(f892(x44841,x44842)),f885(f892(x44841,x44842)),f885(x44841))),f337(f337(f8(f892(x44841,x44842),f893(f885(f892(x44841,x44842)),f885(f892(x44841,x44842))),x44841),f153(f892(x44841,x44842))),f337(f337(f7(x44841,x44842,f892(x44841,x44842)),f272(x44841,x44842)),x44843)))),f337(f337(f7(f885(x44841),f885(x44842),f885(f892(x44841,x44842))),f185(x44841,x44842)),x44844))),x44845),f337(f337(f185(x44841,x44842),x44845),f337(f337(f153(x44842),x44843),x44844)))
% 198.12/198.40 [4188]E(f337(f337(f113(f893(x41881,a878)),f337(f291(x41882,x41881,x41883),x41884)),f337(f291(x41882,x41881,x41885),x41884)),f337(f291(x41882,x41881,f337(f337(f113(f893(f892(x41882,x41881),a878)),x41883),x41885)),x41884))
% 198.12/198.40 [4230]E(f337(f337(f136(f892(x42301,x42302)),f337(f337(f185(x42301,x42302),x42303),f337(f337(f178(x42302),f337(f198(f885(x42301)),x42303)),x42304))),f337(f337(f185(x42301,x42302),x42305),f337(f337(f140(x42302),f337(f198(f885(x42301)),x42303)),x42304))),f337(f337(f185(x42301,x42302),f337(f337(f136(x42301),x42303),x42305)),x42304))
% 198.12/198.40 [4338]E(f337(f337(f274(x43381,x43382),x43383),f337(f337(f18(x43381,f893(x43382,a878),f893(x43382,a878)),f337(f337(f8(f893(x43382,a878),f893(f893(x43382,a878),f893(x43382,a878)),x43381),f113(f893(x43382,a878))),x43384)),x43385)),f337(f337(f113(f893(f892(x43381,x43382),a878)),f337(f337(f274(x43381,x43382),x43383),x43384)),f337(f337(f274(x43381,x43382),x43383),x43385)))
% 198.12/198.40 [4339]E(f337(f337(f274(x43391,x43392),x43393),f337(f337(f18(x43391,f893(x43392,a878),f893(x43392,a878)),f337(f337(f8(f893(x43392,a878),f893(f893(x43392,a878),f893(x43392,a878)),x43391),f22(f893(x43392,a878))),x43394)),x43395)),f337(f337(f22(f893(f892(x43391,x43392),a878)),f337(f337(f274(x43391,x43392),x43393),x43394)),f337(f337(f274(x43391,x43392),x43393),x43395)))
% 198.12/198.40 [4340]E(f337(f337(f274(x43401,x43402),x43403),f337(f337(f18(x43401,f893(x43402,a878),f893(x43402,a878)),f337(f337(f8(f893(x43402,a878),f893(f893(x43402,a878),f893(x43402,a878)),x43401),f104(f893(x43402,a878))),x43404)),x43405)),f337(f337(f104(f893(f892(x43401,x43402),a878)),f337(f337(f274(x43401,x43402),x43403),x43404)),f337(f337(f274(x43401,x43402),x43403),x43405)))
% 198.12/198.40 [4344]E(f337(f337(f42(x43441,f893(x43442,a878)),x43443),f337(f337(f7(x43441,f893(x43442,a878),f893(x43442,a878)),f337(f337(f8(f893(x43442,a878),f893(f893(x43442,a878),f893(x43442,a878)),x43441),f22(f893(x43442,a878))),x43444)),x43445)),f337(f337(f22(f893(x43442,a878)),f337(f337(f42(x43441,f893(x43442,a878)),x43443),x43444)),x43445))
% 198.12/198.40 [4345]E(f337(f337(f42(x43451,f893(x43452,a878)),x43453),f337(f337(f7(x43451,f893(x43452,a878),f893(x43452,a878)),f337(f337(f8(f893(x43452,a878),f893(f893(x43452,a878),f893(x43452,a878)),x43451),f104(f893(x43452,a878))),x43454)),x43455)),f337(f337(f104(f893(x43452,a878)),f337(f337(f42(x43451,f893(x43452,a878)),x43453),x43454)),x43455))
% 198.12/198.40 [4346]E(f337(f337(f43(x43461,f893(x43462,a878)),x43463),f337(f337(f7(x43461,f893(x43462,a878),f893(x43462,a878)),f337(f337(f8(f893(x43462,a878),f893(f893(x43462,a878),f893(x43462,a878)),x43461),f113(f893(x43462,a878))),x43464)),x43465)),f337(f337(f113(f893(x43462,a878)),f337(f337(f43(x43461,f893(x43462,a878)),x43463),x43464)),x43465))
% 198.12/198.40 [4350]E(f337(f337(f42(x43501,f893(x43502,a878)),x43503),f337(f337(f18(x43501,f893(x43502,a878),f893(x43502,a878)),f337(f337(f8(f893(x43502,a878),f893(f893(x43502,a878),f893(x43502,a878)),x43501),f113(f893(x43502,a878))),x43504)),x43505)),f337(f337(f113(f893(x43502,a878)),f337(f337(f42(x43501,f893(x43502,a878)),x43503),x43504)),f337(f337(f42(x43501,f893(x43502,a878)),x43503),x43505)))
% 198.12/198.40 [4351]E(f337(f337(f43(x43511,f893(x43512,a878)),x43513),f337(f337(f18(x43511,f893(x43512,a878),f893(x43512,a878)),f337(f337(f8(f893(x43512,a878),f893(f893(x43512,a878),f893(x43512,a878)),x43511),f104(f893(x43512,a878))),x43514)),x43515)),f337(f337(f104(f893(x43512,a878)),f337(f337(f43(x43511,f893(x43512,a878)),x43513),x43514)),f337(f337(f43(x43511,f893(x43512,a878)),x43513),x43515)))
% 198.12/198.40 [4365]E(f337(f337(f42(x43651,f893(x43652,a878)),x43653),f337(f337(f18(x43651,f893(x43652,a878),f893(x43652,a878)),f337(f337(f8(f893(x43652,a878),f893(f893(x43652,a878),f893(x43652,a878)),x43651),f113(f893(x43652,a878))),x43654)),x43655)),f337(f337(f113(f893(x43652,a878)),f40(f893(x43652,a878),f337(f316(x43651,f893(x43652,a878),x43654),x43653))),f40(f893(x43652,a878),f337(f316(x43651,f893(x43652,a878),x43655),x43653))))
% 198.12/198.40 [4366]E(f337(f337(f43(x43661,f893(x43662,a878)),x43663),f337(f337(f18(x43661,f893(x43662,a878),f893(x43662,a878)),f337(f337(f8(f893(x43662,a878),f893(f893(x43662,a878),f893(x43662,a878)),x43661),f104(f893(x43662,a878))),x43664)),x43665)),f337(f337(f104(f893(x43662,a878)),f41(f893(x43662,a878),f337(f316(x43661,f893(x43662,a878),x43664),x43663))),f41(f893(x43662,a878),f337(f316(x43661,f893(x43662,a878),x43665),x43663))))
% 198.12/198.40 [4401]E(f337(f337(f140(x44011),f337(f198(f885(x44011)),f180(x44011,x44012,f337(f337(f156(x44013,x44011),x44014),x44015)))),f337(f337(f156(x44013,x44011),x44014),x44015)),f337(f337(f156(x44013,x44011),x44014),f337(f337(f140(x44013),f337(f198(f885(x44013)),f180(x44013,f337(f74(x44011,a878,x44013,x44012),x44014),x44015))),x44015)))
% 198.12/198.40 [4274]E(f337(f337(f136(f892(x42741,x42742)),f337(f337(f185(x42741,x42742),f337(f337(f178(x42741),f337(f198(f885(x42742)),x42743)),x42744)),x42743)),f337(f337(f185(x42741,x42742),f337(f337(f140(x42741),f337(f198(f885(x42742)),x42743)),x42744)),x42745)),f337(f337(f185(x42741,x42742),x42744),f337(f337(f136(x42742),x42743),x42745)))
% 198.12/198.40 [4393]E(f86(x43931,f337(f337(f18(x43931,a878,a878),f337(f337(f8(a878,f893(a878,a878),x43931),a335),f337(f337(f7(x43931,f893(x43931,a878),a878),f339(x43931)),x43932))),f337(f337(f7(x43931,x43933,a878),f337(f337(f8(x43933,f893(x43933,a878),x43931),a334),x43934)),x43935))),f337(f78(x43931,x43933,x43932,x43934),x43935))
% 198.12/198.40 [4445]E(f337(f337(f87(a1,x44451),f337(f106(a1),f337(f337(f81(a1),x44452),a100))),f337(f337(f18(a1,x44451,x44451),f337(f337(f7(a1,x44451,f893(x44451,x44451)),f337(f337(f8(a878,f893(x44451,f893(x44451,x44451)),a1),f99(x44451)),a202)),f194(x44451,x44453,x44454,x44455))),f337(f337(f8(a884,x44451,a1),x44454),f337(f337(f7(a1,a884,a884),f337(f337(f8(a884,f893(a884,a884),a1),f81(a884)),a107)),x44455)))),f194(x44451,x44453,x44454,f337(f337(f81(a884),f337(f106(a884),x44452)),x44455)))
% 198.12/198.40 [4481]E(f337(f181(x44811,x44812),f337(f337(f156(f892(x44811,x44813),f892(x44811,x44812)),f337(f276(x44811,x44813,f892(x44811,x44812)),f337(f337(f7(x44811,f893(x44813,x44812),f893(x44813,f892(x44811,x44812))),f337(f337(f8(f893(x44812,f892(x44811,x44812)),f893(f893(x44813,x44812),f893(x44813,f892(x44811,x44812))),x44811),f8(x44812,f892(x44811,x44812),x44813)),f272(x44811,x44812))),x44814))),x44815)),f337(f74(f887(x44813),f887(x44812),x44811,f337(f211(x44813,x44812),x44814)),f337(f181(x44811,x44813),x44815)))
% 198.12/198.40 [4438]E(f187(x44381,x44382,f337(f337(f18(x44381,f887(x44382),f887(x44382)),f337(f337(f18(x44381,f887(x44382),f893(f887(x44382),f887(x44382))),f337(f337(f8(a878,f893(f887(x44382),f893(f887(x44382),f887(x44382))),x44381),f99(f887(x44382))),x44383)),x44384)),x44385)),f337(f337(f113(f893(x44381,a878)),f337(f337(f104(f893(x44381,a878)),f187(x44381,x44382,x44384)),f337(f257(x44381),x44383))),f337(f337(f104(f893(x44381,a878)),f187(x44381,x44382,x44385)),f337(f257(x44381),f337(f337(f8(a878,a878,x44381),a332),x44383)))))
% 198.12/198.40 [4479]E(f337(f337(f87(a1,x44791),f337(f106(a1),f337(f337(f81(a1),x44792),a100))),f337(f337(f18(a1,x44791,x44791),f337(f337(f7(a1,x44791,f893(x44791,x44791)),f337(f337(f8(a878,f893(x44791,f893(x44791,x44791)),a1),f99(x44791)),a202)),f337(f193(x44791,x44793,x44794),x44795))),f337(f337(f18(a1,x44791,x44791),f337(f337(f8(a884,f893(x44791,x44791),a1),x44794),f337(f337(f7(a1,a884,a884),f337(f337(f8(a884,f893(a884,a884),a1),f81(a884)),a107)),x44795))),f337(f337(f8(a884,x44791,a1),f193(x44791,x44793,x44794)),f337(f337(f7(a1,a884,a884),f337(f337(f8(a884,f893(a884,a884),a1),f81(a884)),a107)),x44795))))),f337(f193(x44791,x44793,x44794),f337(f337(f81(a884),f337(f106(a884),x44792)),x44795)))
% 198.12/198.40 [4513]E(f337(f257(f892(x45131,x45132)),f337(f276(x45131,x45132,a878),f337(f337(f8(f893(x45132,f893(x45133,a878)),f893(x45132,a878),x45131),f337(f8(f893(x45133,a878),a878,x45132),f88(x45133))),f337(f337(f7(x45131,f893(x45132,f893(x45133,a878)),f893(x45132,f893(x45133,a878))),f337(f337(f8(f893(f893(x45133,a878),f893(x45133,a878)),f893(f893(x45132,f893(x45133,a878)),f893(x45132,f893(x45133,a878))),x45131),f8(f893(x45133,a878),f893(x45133,a878),x45132)),f337(f337(f8(f893(x45133,f893(a878,a878)),f893(f893(x45133,a878),f893(x45133,a878)),x45131),f18(x45133,a878,a878)),f337(f337(f8(f893(x45133,a878),f893(x45133,f893(a878,a878)),x45131),f337(f8(a878,f893(a878,a878),x45133),a335)),f337(f337(f7(x45131,f893(f892(x45131,x45133),a878),f893(x45133,a878)),f337(f337(f8(f893(x45133,f893(f893(f892(x45131,x45133),a878),a878)),f893(f893(f892(x45131,x45133),a878),f893(x45133,a878)),x45131),f7(x45133,f893(f892(x45131,x45133),a878),a878)),f337(f337(f8(f893(x45133,f892(x45131,x45133)),f893(x45133,f893(f893(f892(x45131,x45133),a878),a878)),x45131),f337(f8(f892(x45131,x45133),f893(f893(f892(x45131,x45133),a878),a878),x45133),f339(f892(x45131,x45133)))),f272(x45131,x45133)))),x45134))))),f337(f337(f7(x45132,f893(f892(x45133,x45132),a878),f893(x45133,a878)),f337(f337(f8(f893(x45133,f893(f893(f892(x45133,x45132),a878),a878)),f893(f893(f892(x45133,x45132),a878),f893(x45133,a878)),x45132),f7(x45133,f893(f892(x45133,x45132),a878),a878)),f337(f337(f8(f893(x45133,f892(x45133,x45132)),f893(x45133,f893(f893(f892(x45133,x45132),a878),a878)),x45132),f337(f8(f892(x45133,x45132),f893(f893(f892(x45133,x45132),a878),a878),x45133),f339(f892(x45133,x45132)))),f337(f7(x45133,x45132,f892(x45133,x45132)),f272(x45133,x45132))))),x45135))))),f337(f337(f294(x45131,x45133,x45132),x45134),x45135))
% 198.12/198.40 [4591]~E(f29(x45911,x45912,x45913),f30(x45914,x45915,x45916))
% 198.12/198.40 [4037]E(f132(x40371,x40372,x40373,x40374,f130(x40372,x40375,x40376)),f337(f337(x40374,x40375),x40376))
% 198.12/198.40 [4113]E(f236(x41131,x41132,x41133,x41134,f233(x41131,x41132,x41135,x41136)),f337(f337(x41134,x41135),x41136))
% 198.12/198.40 [4114]E(f237(x41141,x41142,x41143,x41144,f233(x41141,x41142,x41145,x41146)),f337(f337(x41144,x41145),x41146))
% 198.12/198.40 [4258]E(f190(x42581,x42582,f188(x42581,x42582,x42583,x42584),x42585,x42586),f188(x42581,x42582,x42583,f190(x42581,x42582,x42584,x42585,x42586)))
% 198.12/198.40 [4381]E(f337(f74(f892(x43811,x43812),x43812,f892(x43813,x43814),f275(x43811,x43812)),f277(x43813,x43811,x43814,x43812,x43815,x43816)),f337(f74(x43814,x43812,f892(x43813,x43814),x43816),f275(x43813,x43814)))
% 198.12/198.40 [4382]E(f337(f74(f892(x43821,x43822),x43821,f892(x43823,x43824),f271(x43821,x43822)),f277(x43823,x43821,x43824,x43822,x43825,x43826)),f337(f74(x43823,x43821,f892(x43823,x43824),x43825),f271(x43823,x43824)))
% 198.12/198.40 [3976]E(f337(f337(f74(x39761,x39762,x39763,x39764),x39765),x39766),f337(x39764,f337(x39765,x39766)))
% 198.12/198.40 [4175]E(f238(x41751,x41752,x41753,x41754,f233(x41751,x41752,x41755,x41756)),f337(f337(f81(a884),f337(f337(f81(a884),f337(x41753,x41755)),f337(x41754,x41756))),f337(a115,f2(a884))))
% 198.12/198.40 [3768]E(f337(f337(f276(x37681,x37682,x37683),x37684),f337(f337(f272(x37681,x37682),x37685),x37686)),f337(f337(x37684,x37685),x37686))
% 198.12/198.40 [3830]E(f337(f337(f337(f8(x38301,x38302,x38303),x38304),x38305),x38306),f337(x38304,f337(x38305,x38306)))
% 198.12/198.40 [3831]E(f337(f337(f337(f7(x38311,x38312,x38313),x38314),x38315),x38316),f337(f337(x38314,x38316),x38315))
% 198.12/198.40 [3849]E(f337(f337(f337(f18(x38491,x38492,x38493),x38494),x38495),x38496),f337(f337(x38494,x38496),f337(x38495,x38496)))
% 198.12/198.40 [3871]E(f337(f158(x38711,x38712,x38713,x38714),f337(f337(f153(x38712),x38715),x38716)),f337(f337(x38714,x38715),x38716))
% 198.12/198.40 [3912]E(f172(f892(x39121,x39122),f337(f337(f249(a884),x39123),x39124),f337(f337(f272(x39121,x39122),x39125),x39126)),f337(f337(f185(x39121,x39122),f172(x39121,x39123,x39125)),f172(x39122,x39124,x39126)))
% 198.12/198.40 [3980]E(f337(f337(f153(f892(x39801,x39802)),f337(f337(f272(x39801,x39802),x39803),x39804)),f337(f337(f185(x39801,x39802),x39805),x39806)),f337(f337(f185(x39801,x39802),f337(f337(f153(x39801),x39803),x39805)),f337(f337(f153(x39802),x39804),x39806)))
% 198.12/198.40 [3983]E(f337(f337(f156(x39831,x39832),x39833),f337(f337(f161(x39831,x39834),x39835),x39836)),f337(f337(f161(x39832,f337(f337(f156(x39831,x39832),x39833),x39834)),x39835),f337(x39833,x39836)))
% 198.12/198.40 [4026]E(f337(f144(x40261,x40262,x40263,x40264),f337(f337(f153(x40262),x40265),x40266)),f337(f144(x40261,x40262,x40263,f337(f337(x40263,x40264),x40265)),x40266))
% 198.12/198.40 [4052]E(f279(x40521,x40522,x40523,x40524,f337(f337(f272(x40521,x40522),x40525),x40526)),f337(f337(x40524,x40525),x40526))
% 198.12/198.40 [4138]E(f337(f337(f42(x41381,f893(x41382,a878)),x41383),f337(f74(x41384,f893(x41382,a878),x41381,x41385),x41386)),f337(f337(f42(x41384,f893(x41382,a878)),f337(f316(x41381,x41384,x41386),x41383)),x41385))
% 198.12/198.40 [4191]E(f337(f337(f156(x41911,x41912),x41913),f337(f337(f156(x41914,x41911),x41915),x41916)),f337(f337(f156(x41914,x41912),f337(f74(x41911,x41912,x41914,x41913),x41915)),x41916))
% 198.12/198.40 [4193]E(f337(f337(f211(x41931,x41932),x41933),f337(f337(f211(x41934,x41931),x41935),x41936)),f337(f337(f211(x41934,x41932),f337(f74(x41931,x41932,x41934,x41933),x41935)),x41936))
% 198.12/198.40 [4199]E(f337(f316(x41991,x41992,f337(f74(x41993,x41992,x41991,x41994),x41995)),x41996),f337(f316(x41993,x41992,x41994),f337(f316(x41991,x41993,x41995),x41996)))
% 198.12/198.40 [4200]E(f337(f317(x42001,x42002,f337(f74(x42003,x42002,x42001,x42004),x42005)),x42006),f337(f317(x42001,x42003,x42005),f337(f317(x42003,x42002,x42004),x42006)))
% 198.12/198.40 [4229]E(f188(x42291,x42292,x42293,f337(f337(f337(f73(x42291,f887(x42292)),x42294),x42295),f337(f209(x42292),x42296))),f337(f337(f337(f73(x42291,f887(x42292)),f188(x42291,x42292,x42293,x42294)),x42295),f337(f209(x42292),x42296)))
% 198.12/198.40 [4231]E(f337(f144(x42311,x42312,x42313,f337(f144(x42311,x42312,x42313,x42314),x42315)),x42316),f337(f144(x42311,x42312,x42313,x42314),f337(f337(f136(x42312),x42315),x42316)))
% 198.12/198.40 [4371]E(f337(f277(x43711,x43711,x43712,x43713,f34(x43711),x43714),f337(f337(f272(x43711,x43712),x43715),x43716)),f337(f337(f272(x43711,x43713),x43715),f337(x43714,x43716)))
% 198.12/198.40 [4372]E(f337(f277(x43721,x43722,x43723,x43723,x43724,f34(x43723)),f337(f337(f272(x43721,x43723),x43725),x43726)),f337(f337(f272(x43722,x43723),f337(x43724,x43725)),x43726))
% 198.12/198.40 [4463]E(f337(f337(f156(f892(x44631,x44632),f892(x44631,x44633)),f337(f276(x44631,x44632,f892(x44631,x44633)),f337(f337(f7(x44631,f893(x44632,x44633),f893(x44632,f892(x44631,x44633))),f337(f337(f8(f893(x44633,f892(x44631,x44633)),f893(f893(x44632,x44633),f893(x44632,f892(x44631,x44633))),x44631),f8(x44633,f892(x44631,x44633),x44632)),f272(x44631,x44633))),x44634))),f337(f337(f185(x44631,x44632),x44635),x44636)),f337(f337(f185(x44631,x44633),x44635),f337(f337(f156(x44632,x44633),x44634),x44636)))
% 198.12/198.40 [3836]E(f97(x38361,x38362,x38363,f337(f337(f337(f93(x38361),x38364),x38365),x38366)),f337(f337(f337(x38363,x38364),x38365),x38366))
% 198.12/198.40 [3837]E(f98(x38371,x38372,x38373,f337(f337(f337(f93(x38371),x38374),x38375),x38376)),f337(f337(f337(x38373,x38374),x38375),x38376))
% 198.12/198.40 [4036]E(f337(f337(f74(x40361,x40362,x40363,f337(f16(x40362,x40361),x40364)),x40365),x40366),x40364)
% 198.12/198.40 [4071]E(f337(f316(x40711,x40712,x40713),f337(f316(x40714,x40711,x40715),x40716)),f337(f316(x40714,x40712,f337(f337(f8(x40711,x40712,x40714),x40713),x40715)),x40716))
% 198.12/198.40 [4077]E(f337(f337(f42(x40771,f893(x40772,a878)),f337(f316(x40773,x40771,x40774),x40775)),x40776),f337(f337(f42(x40773,f893(x40772,a878)),x40775),f337(f337(f8(x40771,f893(x40772,a878),x40773),x40776),x40774)))
% 198.12/198.40 [4078]E(f337(f337(f43(x40781,f893(x40782,a878)),f337(f316(x40783,x40781,x40784),x40785)),x40786),f337(f337(f43(x40783,f893(x40782,a878)),x40785),f337(f337(f8(x40781,f893(x40782,a878),x40783),x40786),x40784)))
% 198.12/198.40 [4079]E(f337(f337(f42(x40791,f893(x40792,a878)),x40793),f337(f337(f8(x40794,f893(x40792,a878),x40791),x40795),x40796)),f337(f337(f42(x40794,f893(x40792,a878)),f337(f316(x40791,x40794,x40796),x40793)),x40795))
% 198.12/198.40 [4080]E(f337(f337(f43(x40801,f893(x40802,a878)),x40803),f337(f337(f8(x40804,f893(x40802,a878),x40801),x40805),x40806)),f337(f337(f43(x40804,f893(x40802,a878)),f337(f316(x40801,x40804,x40806),x40803)),x40805))
% 198.12/198.40 [4140]E(f337(f337(f42(x41401,f893(x41402,a878)),x41403),f337(f337(f8(f893(x41404,a878),f893(x41402,a878),x41401),f316(x41404,x41402,x41405)),x41406)),f337(f316(x41404,x41402,x41405),f337(f337(f42(x41401,f893(x41404,a878)),x41403),x41406)))
% 198.12/198.40 [4141]E(f337(f337(f42(x41411,f893(x41412,a878)),x41413),f337(f337(f8(f893(x41414,a878),f893(x41412,a878),x41411),f291(x41414,x41412,x41415)),x41416)),f337(f291(x41414,x41412,x41415),f337(f337(f42(x41411,f893(x41414,a878)),x41413),x41416)))
% 198.12/198.40 [4142]E(f337(f337(f42(x41421,f893(x41422,a878)),x41423),f337(f337(f8(f893(x41424,a878),f893(x41422,a878),x41421),f317(x41422,x41424,x41425)),x41426)),f337(f317(x41422,x41424,x41425),f337(f337(f42(x41421,f893(x41424,a878)),x41423),x41426)))
% 198.12/198.40 [4143]E(f337(f337(f43(x41431,f893(x41432,a878)),x41433),f337(f337(f8(f893(x41434,a878),f893(x41432,a878),x41431),f317(x41432,x41434,x41435)),x41436)),f337(f317(x41432,x41434,x41435),f337(f337(f43(x41431,f893(x41434,a878)),x41433),x41436)))
% 198.12/198.40 [4237]E(f337(f144(x42371,x42372,f337(f7(x42372,x42371,x42371),x42373),x42374),f337(f171(x42372),f337(f337(f153(x42372),x42375),x42376))),f337(f337(x42373,x42375),f337(f144(x42371,x42372,f337(f7(x42372,x42371,x42371),x42373),x42374),f337(f171(x42372),x42376))))
% 198.12/198.40 [4297]E(f337(f337(f18(f892(x42971,x42972),x42972,x42973),f337(f337(f8(x42974,f893(x42972,x42973),f892(x42971,x42972)),x42975),f337(f337(f8(x42971,x42974,f892(x42971,x42972)),x42976),f271(x42971,x42972)))),f275(x42971,x42972)),f337(f276(x42971,x42972,x42973),f337(f337(f8(x42974,f893(x42972,x42973),x42971),x42975),x42976)))
% 198.12/198.40 [4304]E(f337(f144(x43041,x43042,f337(f7(x43042,x43041,x43041),x43043),f337(f144(x43041,x43042,f337(f7(x43042,x43041,x43041),x43043),x43044),f337(f171(x43042),x43045))),f337(f171(x43042),x43046)),f337(f144(x43041,x43042,f337(f7(x43042,x43041,x43041),x43043),x43044),f337(f171(x43042),f337(f337(f136(x43042),x43046),x43045))))
% 198.12/198.40 [4306]E(f337(f337(f156(f892(x43061,x43062),f892(x43063,x43062)),f337(f276(x43061,x43062,f892(x43063,x43062)),f337(f337(f8(x43063,f893(x43062,f892(x43063,x43062)),x43061),f272(x43063,x43062)),x43064))),f337(f337(f185(x43061,x43062),x43065),x43066)),f337(f337(f185(x43063,x43062),f337(f337(f156(x43061,x43063),x43064),x43065)),x43066))
% 198.12/198.40 [4354]P24(f337(f337(f251(f893(x43541,a878)),f337(f291(x43542,x43541,x43543),f337(f337(f43(x43544,f893(x43542,a878)),x43545),x43546))),f337(f337(f43(x43544,f893(x43541,a878)),x43545),f337(f337(f8(f893(x43542,a878),f893(x43541,a878),x43544),f291(x43542,x43541,x43543)),x43546))))
% 198.12/198.40 [4153]E(f337(f337(f185(x41531,x41532),f337(f337(f161(x41531,x41533),x41534),f337(f271(x41531,x41532),x41535))),f337(f337(f161(x41532,x41536),x41534),f337(f275(x41531,x41532),x41535))),f337(f337(f161(f892(x41531,x41532),f337(f337(f185(x41531,x41532),x41533),x41536)),x41534),x41535))
% 198.12/198.40 [4218]E(f337(f337(f113(f893(f892(x42181,x42182),a878)),f337(f337(f294(x42181,x42183,x42182),x42184),x42185)),f337(f337(f294(x42181,x42183,x42182),x42184),x42186)),f337(f337(f294(x42181,x42183,x42182),x42184),f337(f337(f113(f893(f892(x42183,x42182),a878)),x42185),x42186)))
% 198.12/198.40 [4317]E(f337(f337(f315(f892(x43171,x43172)),f337(f337(f272(x43171,x43172),x43173),x43174)),f337(f337(f113(f893(f892(x43171,x43172),a878)),f337(f337(f274(x43171,x43172),x43175),f337(f16(f893(x43172,a878),x43171),f337(f337(f315(x43172),x43174),x43176)))),f337(f337(f274(x43171,x43172),f337(f337(f315(x43171),x43173),x43175)),f337(f16(f893(x43172,a878),x43171),x43176)))),f337(f337(f274(x43171,x43172),f337(f337(f315(x43171),x43173),x43175)),f337(f16(f893(x43172,a878),x43171),f337(f337(f315(x43172),x43174),x43176))))
% 198.12/198.40 [4396]E(f337(f337(f104(f893(x43961,a878)),f337(f317(x43961,x43962,f337(f74(f892(x43962,x43963),x43962,x43961,f271(x43962,x43963)),x43964)),x43965)),f337(f317(x43961,x43963,f337(f74(f892(x43962,x43963),x43963,x43961,f275(x43962,x43963)),x43964)),x43966)),f337(f317(x43961,f892(x43962,x43963),x43964),f337(f337(f274(x43962,x43963),x43965),f337(f16(f893(x43963,a878),x43962),x43966))))
% 198.12/198.40 [4137]E(f337(f337(f337(f73(x41371,x41372),f337(f337(f337(f73(x41371,x41372),x41373),x41374),x41375)),x41374),x41376),f337(f337(f337(f73(x41371,x41372),x41373),x41374),x41376))
% 198.12/198.40 [4243]E(f337(f337(f113(f893(f892(x42431,x42432),a878)),f337(f337(f294(x42431,x42433,x42432),x42434),x42435)),f337(f337(f294(x42431,x42433,x42432),x42436),x42435)),f337(f337(f294(x42431,x42433,x42432),f337(f337(f113(f893(f892(x42431,x42433),a878)),x42434),x42436)),x42435))
% 198.12/198.40 [4379]E(f337(f337(f42(x43791,f893(x43792,a878)),x43793),f337(f337(f7(x43791,f893(x43794,f893(x43792,a878)),f893(x43792,a878)),f337(f337(f8(f893(x43794,a878),f893(f893(x43794,f893(x43792,a878)),f893(x43792,a878)),x43791),f42(x43794,f893(x43792,a878))),x43795)),x43796)),f337(f337(f42(x43794,f893(x43792,a878)),f337(f337(f42(x43791,f893(x43794,a878)),x43793),x43795)),x43796))
% 198.12/198.40 [4380]E(f337(f337(f43(x43801,f893(x43802,a878)),x43803),f337(f337(f7(x43801,f893(x43804,f893(x43802,a878)),f893(x43802,a878)),f337(f337(f8(f893(x43804,a878),f893(f893(x43804,f893(x43802,a878)),f893(x43802,a878)),x43801),f43(x43804,f893(x43802,a878))),x43805)),x43806)),f337(f337(f43(x43804,f893(x43802,a878)),f337(f337(f42(x43801,f893(x43804,a878)),x43803),x43805)),x43806))
% 198.12/198.40 [4433]E(f337(f276(x44331,x44332,f892(x44333,x44334)),f337(f337(f7(x44331,f893(x44332,x44334),f893(x44332,f892(x44333,x44334))),f337(f337(f8(f893(x44334,f892(x44333,x44334)),f893(f893(x44332,x44334),f893(x44332,f892(x44333,x44334))),x44331),f8(x44334,f892(x44333,x44334),x44332)),f337(f337(f8(x44333,f893(x44334,f892(x44333,x44334)),x44331),f272(x44333,x44334)),x44335))),x44336)),f277(x44331,x44333,x44332,x44334,x44335,x44336))
% 198.12/198.40 [4353]E(f337(f337(f337(f73(x43531,f887(x43532)),f191(x43531,x43532,x43533,f337(f337(f22(f893(x43531,a878)),x43534),f337(f337(f315(x43531),x43535),f197(f893(x43531,a878)))))),x43535),x43536),f337(f337(f337(f73(x43531,f887(x43532)),f191(x43531,x43532,x43533,x43534)),x43535),x43536))
% 198.12/198.40 [4458]E(f337(f316(x44581,x44582,f337(f337(f18(x44581,x44582,x44582),f337(f337(f18(x44581,x44582,f893(x44582,x44582)),f337(f337(f8(a878,f893(x44582,f893(x44582,x44582)),x44581),f99(x44582)),x44583)),x44584)),x44585)),x44586),f337(f337(f113(f893(x44582,a878)),f337(f316(x44581,x44582,x44584),f337(f337(f104(f893(x44581,a878)),x44586),f337(f257(x44581),x44583)))),f337(f316(x44581,x44582,x44585),f337(f337(f104(f893(x44581,a878)),x44586),f337(f257(x44581),f337(f337(f8(a878,a878,x44581),a332),x44583))))))
% 198.12/198.40 [4469]E(f337(f316(x44691,f892(x44692,x44693),f337(f337(f18(x44691,x44693,f892(x44692,x44693)),f337(f337(f8(x44692,f893(x44693,f892(x44692,x44693)),x44691),f272(x44692,x44693)),x44694)),x44695)),x44696),f337(f337(f274(x44692,x44693),f337(f316(x44691,x44692,x44694),x44696)),f337(f337(f8(f893(x44691,a878),f893(x44693,a878),x44692),f316(x44691,x44693,x44695)),f337(f337(f7(x44692,f893(x44691,a878),f893(x44691,a878)),f337(f337(f8(f893(x44691,a878),f893(f893(x44691,a878),f893(x44691,a878)),x44692),f104(f893(x44691,a878))),f337(f337(f8(f893(x44692,a878),f893(x44691,a878),x44692),f317(x44691,x44692,x44694)),f337(f337(f7(x44692,f893(x44692,a878),f893(x44692,a878)),f315(x44692)),f197(f893(x44692,a878)))))),x44696))))
% 198.12/198.40 [4415]E(f337(f275(x44151,x44152),f337(f277(x44153,x44151,x44154,x44152,x44155,x44156),x44157)),f337(x44156,f337(f275(x44153,x44154),x44157)))
% 198.12/198.40 [4416]E(f337(f271(x44161,x44162),f337(f277(x44163,x44161,x44164,x44162,x44165,x44166),x44167)),f337(x44165,f337(f271(x44163,x44164),x44167)))
% 198.12/198.40 [4115]E(f337(f337(f185(x41151,x41152),f337(f337(f161(x41151,x41153),x41154),x41155)),f337(f337(f161(x41152,x41156),x41154),x41157)),f337(f337(f161(f892(x41151,x41152),f337(f337(f185(x41151,x41152),x41153),x41156)),x41154),f337(f337(f272(x41151,x41152),x41155),x41157)))
% 198.12/198.40 [4184]E(f337(f337(f337(f278(x41841,x41842,x41843,x41844),x41845),x41846),x41847),f337(f337(f276(x41842,x41843,x41844),x41846),f337(x41845,x41847)))
% 198.12/198.40 [4198]E(f337(f337(f337(f278(x41981,x41982,x41983,x41984),x41985),x41986),x41987),f337(f337(x41986,f337(f271(x41982,x41983),f337(x41985,x41987))),f337(f275(x41982,x41983),f337(x41985,x41987))))
% 198.12/198.40 [4233]E(f190(x42331,x42332,f337(f337(f337(f73(x42331,f887(x42332)),x42333),x42334),f337(f209(x42332),x42335)),x42336,x42337),f190(x42331,x42332,x42333,f337(f337(f153(x42331),x42334),x42336),f337(f337(f153(x42332),x42335),x42337)))
% 198.12/198.40 [4252]E(f337(f74(x42521,x42522,x42523,x42524),f337(f74(x42525,x42521,x42523,x42526),x42527)),f337(f74(x42525,x42522,x42523,f337(f74(x42521,x42522,x42525,x42524),x42526)),x42527))
% 198.12/198.40 [4313]E(f337(f74(f887(x43131),f887(x43132),x43133,f337(f211(x43131,x43132),x43134)),f337(f337(f337(f73(x43133,f887(x43131)),x43135),x43136),f337(f209(x43131),x43137))),f337(f337(f337(f73(x43133,f887(x43132)),f337(f74(f887(x43131),f887(x43132),x43133,f337(f211(x43131,x43132),x43134)),x43135)),x43136),f337(f209(x43132),f337(x43134,x43137))))
% 198.12/198.40 [4440]E(f337(f277(x44401,x44402,x44403,x44403,x44404,f34(x44403)),f337(f277(x44401,x44401,x44405,x44403,f34(x44401),x44406),x44407)),f337(f337(f272(x44402,x44403),f337(x44404,f337(f271(x44401,x44405),x44407))),f337(x44406,f337(f275(x44401,x44405),x44407))))
% 198.12/198.40 [4441]E(f337(f277(x44411,x44411,x44412,x44413,f34(x44411),x44414),f337(f277(x44415,x44411,x44412,x44412,x44416,f34(x44412)),x44417)),f337(f337(f272(x44411,x44413),f337(x44416,f337(f271(x44415,x44412),x44417))),f337(x44414,f337(f275(x44415,x44412),x44417))))
% 198.12/198.40 [4456]E(f337(f277(x44561,x44562,x44563,x44563,x44564,f34(x44563)),f337(f277(x44565,x44561,x44563,x44563,x44566,f34(x44563)),x44567)),f337(f277(x44565,x44562,x44563,x44563,f337(f74(x44561,x44562,x44565,x44564),x44566),f34(x44563)),x44567))
% 198.12/198.40 [4457]E(f337(f277(x44571,x44571,x44572,x44573,f34(x44571),x44574),f337(f277(x44571,x44571,x44575,x44572,f34(x44571),x44576),x44577)),f337(f277(x44571,x44571,x44575,x44573,f34(x44571),f337(f74(x44572,x44573,x44575,x44574),x44576)),x44577))
% 198.12/198.40 [4466]E(f337(f277(x44661,x44662,x44663,x44663,x44664,f34(x44663)),f337(f277(x44661,x44661,x44665,x44663,f34(x44661),x44666),x44667)),f337(f277(x44662,x44662,x44665,x44663,f34(x44662),x44666),f337(f277(x44661,x44662,x44665,x44665,x44664,f34(x44665)),x44667)))
% 198.12/198.40 [4150]E(f337(f337(f294(x41501,x41502,x41503),f337(f337(f294(x41501,x41504,x41502),x41505),x41506)),x41507),f337(f337(f294(x41501,x41504,x41503),x41505),f337(f337(f294(x41504,x41502,x41503),x41506),x41507)))
% 198.12/198.40 [4224]E(f337(f337(f276(x42241,x42242,x42243),f337(f74(x42244,f893(x42242,x42243),x42241,x42245),x42246)),x42247),f337(f337(x42245,f337(x42246,f337(f271(x42241,x42242),x42247))),f337(f275(x42241,x42242),x42247)))
% 198.12/198.40 [4277]E(f337(f74(x42771,x42772,x42773,x42774),f337(f337(f337(f73(x42773,x42771),x42775),x42776),x42777)),f337(f337(f337(f73(x42773,x42772),f337(f74(x42771,x42772,x42773,x42774),x42775)),x42776),f337(x42774,x42777)))
% 198.12/198.40 [4309]E(f337(f144(x43091,x43092,f337(f7(x43092,x43091,x43091),x43093),x43094),f337(f171(x43092),f337(f337(f156(x43095,x43092),x43096),x43097))),f337(f144(x43091,x43095,f337(f7(x43095,x43091,x43091),f337(f74(x43092,f893(x43091,x43091),x43095,x43093),x43096)),x43094),f337(f171(x43095),x43097)))
% 198.12/198.40 [4253]E(f337(f337(f42(x42531,f893(f892(x42532,x42533),a878)),x42534),f337(f337(f8(f893(f892(x42535,x42533),a878),f893(f892(x42532,x42533),a878),x42531),f337(f294(x42532,x42535,x42533),x42536)),x42537)),f337(f337(f294(x42532,x42535,x42533),x42536),f337(f337(f42(x42531,f893(f892(x42535,x42533),a878)),x42534),x42537)))
% 198.12/198.40 [4402]E(f337(f337(f42(x44021,f893(f892(x44022,x44023),a878)),x44024),f337(f337(f7(x44021,f893(f892(x44025,x44023),a878),f893(f892(x44022,x44023),a878)),f337(f337(f8(f893(f892(x44022,x44025),a878),f893(f893(f892(x44025,x44023),a878),f893(f892(x44022,x44023),a878)),x44021),f294(x44022,x44025,x44023)),x44026)),x44027)),f337(f337(f294(x44022,x44025,x44023),f337(f337(f42(x44021,f893(f892(x44022,x44025),a878)),x44024),x44026)),x44027))
% 198.12/198.40 [4403]E(f337(f144(x44031,x44032,f337(f337(f7(x44031,f893(x44032,x44033),f893(x44032,x44031)),f337(f337(f8(f893(x44033,x44031),f893(f893(x44032,x44033),f893(x44032,x44031)),x44031),f8(x44033,x44031,x44032)),x44034)),x44035),x44036),x44037),f337(f144(x44031,x44033,x44034,x44036),f337(f337(f156(x44032,x44033),x44035),x44037)))
% 198.12/198.40 [4467]E(f337(f337(f43(x44671,f893(x44672,a878)),x44673),f337(f337(f8(f893(x44674,f893(x44672,a878)),f893(x44672,a878),x44671),f337(f43(x44674,f893(x44672,a878)),x44675)),f337(f337(f7(x44671,f893(x44674,f893(x44672,a878)),f893(x44674,f893(x44672,a878))),f337(f337(f8(f893(f893(x44672,a878),f893(x44672,a878)),f893(f893(x44674,f893(x44672,a878)),f893(x44674,f893(x44672,a878))),x44671),f8(f893(x44672,a878),f893(x44672,a878),x44674)),f337(f337(f8(f893(x44672,a878),f893(f893(x44672,a878),f893(x44672,a878)),x44671),f113(f893(x44672,a878))),x44676))),x44677))),f337(f337(f113(f893(x44672,a878)),f337(f337(f43(x44671,f893(x44672,a878)),x44673),x44676)),f337(f337(f43(x44674,f893(x44672,a878)),x44675),x44677)))
% 198.12/198.40 [4468]E(f337(f337(f42(x44681,f893(x44682,a878)),x44683),f337(f337(f8(f893(x44684,f893(x44682,a878)),f893(x44682,a878),x44681),f337(f42(x44684,f893(x44682,a878)),x44685)),f337(f337(f7(x44681,f893(x44684,f893(x44682,a878)),f893(x44684,f893(x44682,a878))),f337(f337(f8(f893(f893(x44682,a878),f893(x44682,a878)),f893(f893(x44684,f893(x44682,a878)),f893(x44684,f893(x44682,a878))),x44681),f8(f893(x44682,a878),f893(x44682,a878),x44684)),f337(f337(f8(f893(x44682,a878),f893(f893(x44682,a878),f893(x44682,a878)),x44681),f104(f893(x44682,a878))),x44686))),x44687))),f337(f337(f104(f893(x44682,a878)),f337(f337(f42(x44681,f893(x44682,a878)),x44683),x44686)),f337(f337(f42(x44684,f893(x44682,a878)),x44685),x44687)))
% 198.12/198.40 [4461]E(f207(x44611,x44612,f337(f337(f337(x44613,x44614),x44615),x44616),f337(f337(f7(x44611,f892(a102,a102),f893(a102,f886(x44612))),f337(f337(f7(x44611,a102,f893(f892(a102,a102),f893(a102,f886(x44612)))),f337(f337(f7(x44611,a102,f893(a102,f893(f892(a102,a102),f893(a102,f886(x44612))))),x44617),x44614)),x44615)),x44616)),f337(f337(f337(f222(x44611,x44612,x44613,x44617),x44614),x44615),x44616))
% 198.12/198.40 [4474]E(f208(x44741,x44742,f337(f337(f337(x44743,x44744),x44745),x44746),f337(f337(f7(x44741,f892(a102,a102),f893(a102,f886(x44742))),f337(f337(f7(x44741,a102,f893(f892(a102,a102),f893(a102,f886(x44742)))),f337(f337(f7(x44741,a102,f893(a102,f893(f892(a102,a102),f893(a102,f886(x44742))))),x44747),x44744)),x44745)),x44746)),f224(x44741,x44742,x44743,x44747,x44744,x44745,x44746))
% 198.12/198.40 [4465]E(f204(x44651,x44652,f337(f337(f337(x44653,x44654),x44655),x44656),f337(f337(f7(x44651,f892(a102,a102),f893(a102,f886(f887(x44652)))),f337(f337(f7(x44651,a102,f893(f892(a102,a102),f893(a102,f886(f887(x44652))))),f337(f337(f7(x44651,a102,f893(a102,f893(f892(a102,a102),f893(a102,f886(f887(x44652)))))),x44657),x44654)),x44655)),x44656)),f337(f337(f337(f219(x44651,x44652,x44653,x44657),x44654),x44655),x44656))
% 198.12/198.40 [4476]E(f205(x44761,x44762,f337(f337(f337(x44763,x44764),x44765),x44766),f337(f337(f7(x44761,f892(a102,a102),f893(a102,f886(f887(x44762)))),f337(f337(f7(x44761,a102,f893(f892(a102,a102),f893(a102,f886(f887(x44762))))),f337(f337(f7(x44761,a102,f893(a102,f893(f892(a102,a102),f893(a102,f886(f887(x44762)))))),x44767),x44764)),x44765)),x44766)),f221(x44761,x44762,x44763,x44767,x44764,x44765,x44766))
% 198.12/198.40 [4373]E(f337(f277(x43731,x43732,x43733,x43734,x43735,x43736),f337(f337(f272(x43731,x43733),x43737),x43738)),f337(f337(f272(x43732,x43734),f337(x43735,x43737)),f337(x43736,x43738)))
% 198.12/198.40 [4478]E(f337(f337(f156(f892(x44781,x44782),f892(x44783,x44784)),f337(f276(x44781,x44782,f892(x44783,x44784)),f337(f337(f7(x44781,f893(x44782,x44784),f893(x44782,f892(x44783,x44784))),f337(f337(f8(f893(x44784,f892(x44783,x44784)),f893(f893(x44782,x44784),f893(x44782,f892(x44783,x44784))),x44781),f8(x44784,f892(x44783,x44784),x44782)),f337(f337(f8(x44783,f893(x44784,f892(x44783,x44784)),x44781),f272(x44783,x44784)),x44785))),x44786))),f337(f337(f185(x44781,x44782),x44787),x44788)),f337(f337(f185(x44783,x44784),f337(f337(f156(x44781,x44783),x44785),x44787)),f337(f337(f156(x44782,x44784),x44786),x44788)))
% 198.12/198.40 [4482]E(f337(f337(f156(f892(x44821,x44822),x44823),f337(f276(x44821,x44822,x44823),f337(f337(f8(f893(x44822,f892(x44821,x44824)),f893(x44822,x44823),x44821),f337(f8(f892(x44821,x44824),x44823,x44822),x44825)),f337(f337(f7(x44821,f893(x44822,x44824),f893(x44822,f892(x44821,x44824))),f337(f337(f8(f893(x44824,f892(x44821,x44824)),f893(f893(x44822,x44824),f893(x44822,f892(x44821,x44824))),x44821),f8(x44824,f892(x44821,x44824),x44822)),f272(x44821,x44824))),x44826)))),f337(f337(f185(x44821,x44822),x44827),x44828)),f337(f337(f156(f892(x44821,x44824),x44823),x44825),f337(f337(f185(x44821,x44824),x44827),f337(f337(f156(x44822,x44824),x44826),x44828))))
% 198.12/198.40 [4407]E(f337(f337(f156(f892(x44071,x44072),x44073),f337(f276(x44071,x44072,x44073),f337(f337(f8(f893(x44072,f892(x44074,x44072)),f893(x44072,x44073),x44071),f337(f8(f892(x44074,x44072),x44073,x44072),x44075)),f337(f337(f8(x44074,f893(x44072,f892(x44074,x44072)),x44071),f272(x44074,x44072)),x44076)))),f337(f337(f185(x44071,x44072),x44077),x44078)),f337(f337(f156(f892(x44074,x44072),x44073),x44075),f337(f337(f185(x44074,x44072),f337(f337(f156(x44071,x44074),x44076),x44077)),x44078)))
% 198.12/198.40 [4364]E(f337(f337(f276(x43641,x43642,x43643),f337(f337(f8(f893(x43642,f892(x43644,x43645)),f893(x43642,x43643),x43641),f337(f8(f892(x43644,x43645),x43643,x43642),f337(f276(x43644,x43645,x43643),x43646))),x43647)),x43648),f337(f337(f276(x43644,x43645,x43643),x43646),f337(f337(f276(x43641,x43642,f892(x43644,x43645)),x43647),x43648)))
% 198.12/198.40 [4483]E(f337(f337(f42(f892(x44831,x44832),f893(f892(x44833,x44834),a878)),f337(f337(f274(x44831,x44832),x44835),f337(f16(f893(x44832,a878),x44831),x44836))),f337(f276(x44831,x44832,f893(f892(x44833,x44834),a878)),f337(f337(f7(x44831,f893(x44832,f893(x44833,f893(x44834,a878))),f893(x44832,f893(f892(x44833,x44834),a878))),f337(f337(f8(f893(f893(x44833,f893(x44834,a878)),f893(f892(x44833,x44834),a878)),f893(f893(x44832,f893(x44833,f893(x44834,a878))),f893(x44832,f893(f892(x44833,x44834),a878))),x44831),f8(f893(x44833,f893(x44834,a878)),f893(f892(x44833,x44834),a878),x44832)),f337(f337(f8(f893(x44833,a878),f893(f893(x44833,f893(x44834,a878)),f893(f892(x44833,x44834),a878)),x44831),f274(x44833,x44834)),x44837))),f337(f337(f8(f893(x44834,a878),f893(x44833,f893(x44834,a878)),x44832),f16(f893(x44834,a878),x44833)),x44838)))),f337(f337(f274(x44833,x44834),f337(f337(f42(x44831,f893(x44833,a878)),x44835),x44837)),f337(f16(f893(x44834,a878),x44833),f337(f337(f42(x44832,f893(x44834,a878)),x44836),x44838))))
% 198.12/198.40 [4421]E(f337(f337(f278(x44211,x44212,x44213,x44214),f337(f337(f278(x44211,x44215,x44216,f892(x44212,x44213)),x44217),x44218)),x44219),f337(f337(f278(x44211,x44215,x44216,x44214),x44217),f337(f337(f7(x44215,f893(x44212,f893(x44213,x44214)),f893(x44216,x44214)),f337(f337(f8(f893(x44216,f892(x44212,x44213)),f893(f893(x44212,f893(x44213,x44214)),f893(x44216,x44214)),x44215),f278(x44216,x44212,x44213,x44214)),x44218)),x44219)))
% 198.12/198.40 [4453]E(f337(f74(f892(x44531,x44532),f892(x44533,x44534),f892(x44535,x44536),f277(x44531,x44533,x44532,x44534,x44537,x44538)),f277(x44535,x44531,x44536,x44532,x44539,x445310)),f277(x44535,x44533,x44536,x44534,f337(f74(x44531,x44533,x44535,x44537),x44539),f337(f74(x44532,x44534,x44536,x44538),x445310)))
% 198.12/198.40 [4459]E(f337(f277(x44591,x44592,x44593,x44594,x44595,x44596),f337(f277(x44597,x44591,x44598,x44593,x44599,x445910),x445911)),f337(f277(x44597,x44592,x44598,x44594,f337(f74(x44591,x44592,x44597,x44595),x44599),f337(f74(x44593,x44594,x44598,x44596),x445910)),x445911))
% 198.12/198.40 [4629]~P95(x46291)+E(f92(x46291),a334)
% 198.12/198.40 [4630]~P25(x46301)+P25(f887(x46301))
% 198.12/198.40 [4631]~P57(x46311)+P57(f887(x46311))
% 198.12/198.40 [4632]~P103(x46321)+P103(f885(x46321))
% 198.12/198.40 [4635]~P141(x46351)+~E(f79(x46351),f2(x46351))
% 198.12/198.40 [4637]~E(x46371,f2(a102))+E(f337(a20,x46371),f2(a1))
% 198.12/198.40 [4638]~E(x46381,f2(a1))+E(f83(a1,x46381),f2(a1))
% 198.12/198.40 [4644]~P142(x46441)+P32(x46441,f2(x46441))
% 198.12/198.40 [4646]~P105(x46461)+P30(x46461,f116(x46461))
% 198.12/198.40 [4655]P24(x46551)+P24(f337(a332,x46551))
% 198.12/198.40 [4698]~P142(x46981)+~P32(x46981,f79(x46981))
% 198.12/198.40 [4745]~P24(x47451)+~P24(f337(a332,x47451))
% 198.12/198.40 [4768]E(f337(a107,x47681),f2(a884))+~P24(f337(a202,x47681))
% 198.12/198.40 [4834]~P100(x48341)+P11(x48341,x48341,f113(x48341))
% 198.12/198.40 [4835]~P96(x48351)+P11(x48351,x48351,f82(x48351))
% 198.12/198.40 [4836]~P101(x48361)+P11(x48361,x48361,f104(x48361))
% 198.12/198.40 [4837]~P105(x48371)+P11(x48371,x48371,f249(x48371))
% 198.12/198.40 [4838]~P105(x48381)+P11(x48381,x48381,f250(x48381))
% 198.12/198.40 [4839]~P68(x48391)+P12(x48391,x48391,f82(x48391))
% 198.12/198.40 [4641]~E(x46411,f2(a884))+E(f337(f103(a1),x46411),f2(a1))
% 198.12/198.40 [4648]~P93(x46481)+E(f337(f106(x46481),a84),f2(x46481))
% 198.12/198.40 [4651]~E(f554(x46511),f2(a884))+E(f337(f168(a884),x46511),f2(a884))
% 198.12/198.40 [4652]~P107(x46521)+E(f253(x46521,f251(x46521)),f249(x46521))
% 198.12/198.40 [4653]~P107(x46531)+E(f254(x46531,f251(x46531)),f250(x46531))
% 198.12/198.40 [4654]~P89(x46541)+E(f83(x46541,f2(x46541)),f2(x46541))
% 198.12/198.40 [4663]~P142(x46631)+E(f337(f103(x46631),f79(a884)),f79(x46631))
% 198.12/198.40 [4664]~P142(x46641)+E(f337(f103(x46641),f2(a884)),f2(x46641))
% 198.12/198.40 [4665]~P138(x46651)+E(f337(f105(x46651),f79(a1)),f79(x46651))
% 198.12/198.40 [4666]~P138(x46661)+E(f337(f105(x46661),f2(a1)),f2(x46661))
% 198.12/198.40 [4667]E(x46671,f2(a884))+~E(f337(f103(a1),x46671),f2(a1))
% 198.12/198.40 [4692]~P86(x46921)+E(f337(f80(x46921),f197(x46921)),f260(x46921))
% 198.12/198.40 [4693]~P86(x46931)+E(f337(f80(x46931),f260(x46931)),f197(x46931))
% 198.12/198.40 [4694]~P75(x46941)+E(f337(f80(x46941),f2(x46941)),f2(x46941))
% 198.12/198.40 [4695]~P116(x46951)+E(f337(f76(x46951),f79(x46951)),f79(x46951))
% 198.12/198.40 [4696]~P85(x46961)+E(f337(f76(x46961),f2(x46961)),f2(x46961))
% 198.12/198.40 [4697]~P81(x46971)+E(f337(f168(x46971),f116(x46971)),f2(x46971))
% 198.12/198.40 [4718]~P38(x47181)+P40(f337(f175(a1),x47181))
% 198.12/198.40 [4750]~P93(x47501)+E(f337(f80(x47501),f79(x47501)),f337(f106(x47501),a100))
% 198.12/198.40 [4767]~P93(x47671)+P32(x47671,f337(f106(x47671),a84))
% 198.12/198.40 [4784]~P57(x47841)+E(f337(f175(x47841),f56(x47841)),f260(f893(x47841,a878)))
% 198.12/198.40 [4794]P38(x47941)+~P40(f337(f175(a1),x47941))
% 198.12/198.40 [4795]~P57(x47951)+P24(f337(f139(x47951),f56(x47951)))
% 198.12/198.40 [4840]E(f337(f103(a1),f337(a107,x48401)),x48401)+P24(f337(a202,x48401))
% 198.12/198.40 [4909]~P113(x49091)+E(f263(x49091,f79(x49091),f82(x49091)),f262(x49091))
% 198.12/198.40 [4939]~P93(x49391)+~P32(x49391,f337(f106(x49391),a100))
% 198.12/198.40 [4949]E(f337(a26,x49491),f210(a880))+P24(f337(a25,f337(a28,x49491)))
% 198.12/198.40 [5082]E(f337(f76(a1),x50821),x50821)+P24(f337(f337(f252(a1),x50821),f2(a1)))
% 198.12/198.40 [5103]~E(f337(a107,x51031),f2(a884))+P24(f337(f337(f251(a1),x51031),f2(a1)))
% 198.12/198.40 [5165]~P24(f337(a202,x51651))+P24(f337(f337(f252(a1),x51651),f2(a1)))
% 198.12/198.40 [5205]~P122(x52051)+P24(f337(f337(f251(x52051),f2(x52051)),f79(x52051)))
% 198.12/198.40 [5206]~P138(x52061)+P24(f337(f337(f339(x52061),f79(x52061)),f112(x52061)))
% 198.12/198.40 [5207]~P142(x52071)+P24(f337(f337(f339(x52071),f79(x52071)),f195(x52071)))
% 198.12/198.40 [5208]~P138(x52081)+P24(f337(f337(f339(x52081),f2(x52081)),f112(x52081)))
% 198.12/198.40 [5209]~P142(x52091)+P24(f337(f337(f339(x52091),f2(x52091)),f195(x52091)))
% 198.12/198.40 [5210]~P122(x52101)+P24(f337(f337(f252(x52101),f2(x52101)),f79(x52101)))
% 198.12/198.40 [5212]E(f337(f209(a880),f347(x52121)),f337(a26,x52121))+~P24(f337(a25,f337(a28,x52121)))
% 198.12/198.40 [5213]E(f337(f209(a880),f417(x52131)),f337(a26,x52131))+~P24(f337(a25,f337(a28,x52131)))
% 198.12/198.40 [5269]E(x52691,f2(a884))+~P24(f337(f337(f251(a884),x52691),f2(a884)))
% 198.12/198.40 [5314]E(f337(a107,x53141),f2(a884))+~P24(f337(f337(f251(a1),x53141),f2(a1)))
% 198.12/198.40 [5377]P24(f337(a202,x53771))+~P24(f337(f337(f252(a1),x53771),f2(a1)))
% 198.12/198.40 [5382]~P105(x53821)+P12(x53821,f885(x53821),f150(x53821,x53821,f5(x53821)))
% 198.12/198.40 [5399]P40(x53991)+~P24(f337(f337(f251(a1),f2(a1)),f345(x53991)))
% 198.12/198.40 [5405]E(f337(f76(a1),x54051),f337(f80(a1),x54051))+~P24(f337(f337(f252(a1),x54051),f2(a1)))
% 198.12/198.40 [5577]~P122(x55771)+~P24(f337(f337(f251(x55771),f79(x55771)),f2(x55771)))
% 198.12/198.40 [5578]~P122(x55781)+~P24(f337(f337(f252(x55781),f79(x55781)),f2(x55781)))
% 198.12/198.40 [5588]~E(x55881,f2(a884))+P24(f337(f337(f251(a1),f337(f103(a1),x55881)),f2(a1)))
% 198.12/198.40 [5589]~E(x55891,f2(a1))+P24(f337(f337(f252(a1),f337(f76(a1),x55891)),f79(a1)))
% 198.12/198.40 [5710]~P81(x57101)+E(f144(x57101,x57101,f81(x57101),f2(x57101)),f168(x57101))
% 198.12/198.40 [5883]~P102(x58831)+P21(a884,x58831,f103(x58831),f260(f893(a884,a878)))
% 198.12/198.40 [6078]E(x60781,f2(a884))+~P24(f337(f337(f251(a1),f337(f103(a1),x60781)),f2(a1)))
% 198.12/198.40 [6079]E(x60791,f2(a1))+~P24(f337(f337(f252(a1),f337(f76(a1),x60791)),f79(a1)))
% 198.12/198.40 [6880]~P24(f337(f337(f252(a1),x68801),f2(a1)))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x68801),x68801)),f2(a1)))
% 198.12/198.40 [7428]P24(f337(f337(f252(a1),x74281),f2(a1)))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),x74281),x74281)),f2(a1)))
% 198.12/198.40 [7983]E(x79831,f337(a3,f2(a884)))+P24(f337(f337(f252(a884),f337(f337(f22(a884),f337(a19,x79831)),f337(a115,f2(a884)))),f337(a19,x79831)))
% 198.12/198.40 [8729]~P24(f337(f337(f252(a1),x87291),f2(a1)))+P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87291),x87291)),a100)),f2(a1)))
% 198.12/198.40 [8815]~P24(f337(f337(f252(a1),x88151),f2(a1)))+P24(f337(f337(f252(a1),f337(f337(f81(a1),f337(f337(f81(a1),f79(a1)),x88151)),x88151)),f2(a1)))
% 198.12/198.40 [9129]P24(f337(f337(f252(a1),x91291),f2(a1)))+~P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91291),x91291)),a100)),f2(a1)))
% 198.12/198.40 [9192]P24(f337(f337(f252(a1),x91921),f2(a1)))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),f337(f337(f81(a1),f79(a1)),x91921)),x91921)),f2(a1)))
% 198.12/198.40 [4738]~E(a84,x47381)+E(f337(f337(f81(a1),x47381),x47381),a84)
% 198.12/198.40 [4739]~E(x47391,a84)+E(f337(f337(f81(a1),x47391),x47391),a84)
% 198.12/198.40 [4753]E(x47531,f2(a1))+E(f337(f337(f39(a1),x47531),x47531),f79(a1))
% 198.12/198.40 [4885]E(x48851,a84)+~E(f337(f337(f81(a1),x48851),x48851),a84)
% 198.12/198.40 [4886]E(a84,x48861)+~E(f337(f337(f81(a1),x48861),x48861),a84)
% 198.12/198.40 [4899]~P28(x48991)+E(f41(x48991,f197(f893(x48991,a878))),f260(x48991))
% 198.12/198.40 [4900]~P28(x49001)+E(f41(x49001,f260(f893(x49001,a878))),f197(x49001))
% 198.12/198.40 [4901]~P28(x49011)+E(f40(x49011,f197(f893(x49011,a878))),f197(x49011))
% 198.12/198.40 [4902]~P28(x49021)+E(f40(x49021,f260(f893(x49021,a878))),f260(x49021))
% 198.12/198.40 [4903]~P105(x49031)+E(f141(x49031,f197(f893(x49031,a878))),f116(x49031))
% 198.12/198.40 [5040]E(x50401,f2(a884))+P24(f337(f337(f252(a884),f2(a884)),x50401))
% 198.12/198.40 [5059]~P29(x50591)+P24(f337(f337(f251(a1),f2(a1)),x50591))
% 198.12/198.40 [5094]~E(f337(f106(a884),x50941),f2(a884))+P24(f337(f337(f251(a1),x50941),a84))
% 198.12/198.40 [5099]P40(x50991)+P24(f337(f337(f339(a1),f345(x50991)),x50991))
% 198.12/198.40 [5100]E(x51001,f337(a3,f2(a884)))+P24(f337(f337(f251(a102),f79(a102)),x51001))
% 198.12/198.40 [5139]P24(f337(a202,x51391))+P24(f337(f337(f251(a1),f2(a1)),x51391))
% 198.12/198.40 [5187]E(f337(f103(a1),f337(a107,x51871)),f2(a1))+P24(f337(f337(f251(a1),f2(a1)),x51871))
% 198.12/198.40 [5254]E(f337(f103(a1),f337(f106(a884),x52541)),f337(f106(a1),x52541))+P24(f337(a202,f337(f106(a1),x52541)))
% 198.12/198.40 [5275]E(f337(f106(a884),x52751),f2(a884))+~P24(f337(a202,f337(f106(a1),x52751)))
% 198.12/198.40 [5276]E(f337(f106(a884),x52761),f2(a884))+~P24(f337(f337(f251(a1),x52761),a84))
% 198.12/198.40 [5311]P29(x53111)+~P24(f337(f337(f251(a1),f2(a1)),x53111))
% 198.12/198.40 [5385]E(f337(a115,f828(x53851)),x53851)+~P24(f337(f337(f252(a884),f2(a884)),x53851))
% 198.12/198.40 [5393]E(f337(a115,f337(f106(a884),x53931)),f79(a884))+~P24(f337(a202,f337(f106(a1),x53931)))
% 198.12/198.40 [5401]E(f337(f103(a1),f380(x54011)),x54011)+~P24(f337(f337(f252(a1),f2(a1)),x54011))
% 198.12/198.40 [5408]~E(x54081,f337(a3,f2(a884)))+~P24(f337(f337(f251(a102),f79(a102)),x54081))
% 198.12/198.40 [5415]E(f337(f103(a1),f337(f106(a884),x54151)),f2(a1))+~P24(f337(a202,f337(f106(a1),x54151)))
% 198.12/198.40 [5441]E(f337(f168(a884),x54411),f2(a884))+P24(f337(f337(f339(a884),f554(x54411)),f337(f175(a884),x54411)))
% 198.12/198.40 [5462]E(f337(f103(a1),f337(a107,x54621)),x54621)+~P24(f337(f337(f251(a1),f2(a1)),x54621))
% 198.12/198.40 [5471]~P24(f337(a202,x54711))+~P24(f337(f337(f251(a1),f2(a1)),x54711))
% 198.12/198.40 [5570]E(f337(f337(f81(a884),f79(a884)),f337(f106(a884),x55701)),f79(a884))+~P24(f337(f337(f252(a1),x55701),a84))
% 198.12/198.40 [5630]E(x56301,f2(a884))+~P24(f337(f337(f252(a884),x56301),f337(a115,f2(a884))))
% 198.12/198.40 [5669]E(f337(f337(f22(a884),f337(f106(a884),x56691)),f79(a884)),f2(a884))+~P24(f337(f337(f251(a1),x56691),a84))
% 198.12/198.40 [5670]E(f337(f337(f81(a884),f337(f106(a884),x56701)),f79(a884)),f79(a884))+~P24(f337(f337(f252(a1),x56701),a84))
% 198.12/198.40 [5680]~P40(x56801)+E(f337(f38(a884),f337(f316(a1,a884,a107),x56801)),f337(f38(a1),x56801))
% 198.12/198.40 [5711]~P105(x57111)+E(f253(x57111,f337(f7(x57111,x57111,a878),f251(x57111))),f250(x57111))
% 198.12/198.40 [5712]~P105(x57121)+E(f254(x57121,f337(f7(x57121,x57121,a878),f251(x57121))),f249(x57121))
% 198.12/198.40 [5722]E(f45(a884,f337(a115,f2(a884)),f337(f106(a884),x57221)),f337(a115,f2(a884)))+~P24(f337(a202,f337(f106(a1),x57221)))
% 198.12/198.40 [5731]~P24(f337(f337(f252(a1),f2(a1)),x57311))+P24(f337(f337(f251(a1),f79(a1)),x57311))
% 198.12/198.40 [5732]P24(f337(f337(f252(a1),f2(a1)),x57321))+~P24(f337(f337(f251(a1),f79(a1)),x57321))
% 198.12/198.40 [5743]E(f337(a115,f337(f337(f22(a884),x57431),f79(a884))),x57431)+~P24(f337(f337(f252(a884),f2(a884)),x57431))
% 198.12/198.40 [5801]P24(f337(f337(f252(a884),f2(a884)),f380(x58011)))+~P24(f337(f337(f252(a1),f2(a1)),x58011))
% 198.12/198.40 [5860]E(f45(a1,f337(f106(a1),a100),x58601),f337(f337(f22(a1),x58601),f79(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x58601))
% 198.12/198.40 [5895]~P24(f337(f337(f252(a1),a84),x58951))+P24(f337(f337(f252(a884),f2(a884)),f337(f106(a884),x58951)))
% 198.12/198.40 [5945]P24(f337(f337(f252(a884),f2(a884)),f337(a107,x59451)))+~P24(f337(f337(f252(a1),f2(a1)),x59451))
% 198.12/198.40 [5997]~P24(f337(f337(f252(a884),f2(a884)),x59971))+P24(f337(f337(f252(a1),f2(a1)),f337(f103(a1),x59971)))
% 198.12/198.40 [6032]~P24(f337(f337(f252(a884),f2(a884)),f337(a107,x60321)))+P24(f337(f337(f252(a1),f2(a1)),x60321))
% 198.12/198.40 [6046]~P40(x60461)+E(f337(f316(a884,a1,f103(a1)),f337(f316(a1,a884,a107),x60461)),x60461)
% 198.12/198.40 [6059]P24(f337(f337(f252(a1),a84),x60591))+~P24(f337(f337(f252(a884),f2(a884)),f337(f106(a884),x60591)))
% 198.12/198.40 [6107]~P57(x61071)+E(f337(f337(f153(f887(x61071)),f210(x61071)),f337(f337(f156(x61071,f887(x61071)),f209(x61071)),f56(x61071))),f56(f887(x61071)))
% 198.12/198.40 [6118]P24(f337(f337(f252(a884),f2(a884)),x61181))+~P24(f337(f337(f252(a1),f2(a1)),f337(f103(a1),x61181)))
% 198.12/198.40 [6235]E(f337(f316(a884,a1,f103(a1)),f337(f258(a884),f337(a107,x62351))),f337(f307(a1,f2(a1)),x62351))+~P24(f337(f337(f251(a1),f2(a1)),x62351))
% 198.12/198.40 [6251]~P122(x62511)+P24(f337(f337(f252(x62511),f2(x62511)),f337(f337(f81(x62511),f79(x62511)),f79(x62511))))
% 198.12/198.40 [6302]P24(f337(f337(f252(a884),f337(a115,f2(a884))),f337(a107,x63021)))+~P24(f337(f337(f252(a1),f79(a1)),x63021))
% 198.12/198.40 [6396]E(x63961,f2(a1))+P24(f337(f49(f2(a1),x63961),f337(f337(f272(a1,a1),f2(a1)),f2(a1))))
% 198.12/198.40 [6564]~P24(f337(f337(f252(a884),f337(a115,f2(a884))),f337(a107,x65641)))+P24(f337(f337(f252(a1),f79(a1)),x65641))
% 198.12/198.40 [6990]~P115(x69901)+P39(x69901,f337(f257(f892(x69901,x69901)),f337(f276(x69901,x69901,a878),f252(x69901))))
% 198.12/198.40 [5617]E(f337(f106(a884),f337(f337(f22(a1),x56171),a100)),f337(a115,f337(f106(a884),x56171)))+P24(f337(a202,f337(f106(a1),x56171)))
% 198.12/198.40 [5633]~P38(x56331)+E(f337(f337(f156(a884,a1),f103(a1)),f337(f337(f156(a1,a884),a107),x56331)),x56331)
% 198.12/198.40 [5749]E(f337(f80(a1),f337(f103(a1),f337(a115,f381(x57491)))),x57491)+~P24(f337(f337(f252(a1),x57491),f2(a1)))
% 198.12/198.40 [5759]E(f337(f337(f81(a884),f79(a884)),f337(f106(a884),x57591)),f337(f106(a884),f337(f337(f22(a1),x57591),a100)))+P24(f337(f337(f252(a1),x57591),a84))
% 198.12/198.40 [5803]E(f337(f337(f39(a1),f337(f106(a1),a100)),x58031),f337(f106(a1),a100))+~P24(f337(f337(f252(a1),f2(a1)),x58031))
% 198.12/198.40 [5891]E(f337(f337(f22(a884),f337(f106(a884),x58911)),f79(a884)),f337(f106(a884),f337(f337(f81(a1),x58911),a100)))+P24(f337(f337(f251(a1),x58911),a84))
% 198.12/198.40 [5892]E(f337(f337(f81(a884),f337(f106(a884),x58921)),f79(a884)),f337(f106(a884),f337(f337(f22(a1),x58921),a100)))+P24(f337(f337(f252(a1),x58921),a84))
% 198.12/198.40 [5933]E(f337(a107,f337(f337(f81(a1),f79(a1)),x59331)),f337(a115,f337(a107,x59331)))+~P24(f337(f337(f251(a1),f2(a1)),x59331))
% 198.12/198.40 [5969]E(f337(a115,f337(f337(f22(a884),x59691),f337(a115,f2(a884)))),x59691)+~P24(f337(f337(f252(a884),f2(a884)),x59691))
% 198.12/198.40 [6178]E(f45(a884,f337(a115,f2(a884)),f337(f106(a884),x61781)),f337(a107,f45(a1,f79(a1),f337(f106(a1),x61781))))+P24(f337(a202,f337(f106(a1),x61781)))
% 198.12/198.40 [6225]~P24(f337(f337(f251(a1),a84),x62251))+P24(f337(f337(f251(a1),a84),f337(f337(f81(a1),x62251),x62251)))
% 198.12/198.40 [6226]~P24(f337(f337(f252(a1),a100),x62261))+P24(f337(f337(f251(a1),a100),f337(f337(f81(a1),x62261),x62261)))
% 198.12/198.40 [6227]~P24(f337(f337(f252(a1),a84),x62271))+P24(f337(f337(f252(a1),a84),f337(f337(f81(a1),x62271),x62271)))
% 198.12/198.40 [6228]~P24(f337(f337(f252(a1),a100),x62281))+P24(f337(f337(f252(a1),a100),f337(f337(f81(a1),x62281),x62281)))
% 198.12/198.40 [6229]~P24(f337(f337(f92(a1),a84),x62291))+P24(f337(f337(f92(a1),a84),f337(f337(f81(a1),x62291),x62291)))
% 198.12/198.40 [6409]~P24(f337(f62(x64091),f260(f893(x64091,a878))))+P24(f337(f62(f887(x64091)),f260(f893(f887(x64091),a878))))
% 198.12/198.40 [6495]~P24(f337(f337(f251(a1),f2(a1)),x64951))+P24(f337(f337(f252(a1),f2(a1)),f337(f337(f81(a1),f79(a1)),x64951)))
% 198.12/198.40 [6502]E(f337(f271(a1,a1),f47(f79(a1),f337(f106(a1),x65021))),f337(f337(f39(a1),f79(a1)),f337(f106(a1),x65021)))+~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x65021)))
% 198.12/198.40 [6522]E(f337(f275(a1,a1),f47(f79(a1),f337(f106(a1),x65221))),f45(a1,f79(a1),f337(f106(a1),x65221)))+~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x65221)))
% 198.12/198.40 [6534]P24(f337(f62(x65341),f260(f893(x65341,a878))))+~P24(f337(f62(f887(x65341)),f260(f893(f887(x65341),a878))))
% 198.12/198.40 [6565]P24(f337(f337(f251(a1),a84),x65651))+~P24(f337(f337(f251(a1),a84),f337(f337(f81(a1),x65651),x65651)))
% 198.12/198.40 [6566]P24(f337(f337(f252(a1),a84),x65661))+~P24(f337(f337(f252(a1),a84),f337(f337(f81(a1),x65661),x65661)))
% 198.12/198.40 [6567]P24(f337(f337(f252(a1),a100),x65671))+~P24(f337(f337(f251(a1),a100),f337(f337(f81(a1),x65671),x65671)))
% 198.12/198.40 [6568]P24(f337(f337(f252(a1),a100),x65681))+~P24(f337(f337(f252(a1),a100),f337(f337(f81(a1),x65681),x65681)))
% 198.12/198.40 [6569]P24(f337(f337(f92(a1),a84),x65691))+~P24(f337(f337(f92(a1),a84),f337(f337(f81(a1),x65691),x65691)))
% 198.12/198.40 [6884]~P24(f337(f62(x68841),f260(f893(x68841,a878))))+P24(f337(f337(f252(a884),f2(a884)),f337(f38(x68841),f260(f893(x68841,a878)))))
% 198.12/198.40 [7471]P24(f337(f62(a884),x74711))+~P24(f337(f62(a1),f337(f316(a884,a1,f103(a1)),x74711)))
% 198.12/198.40 [5545]~E(a100,x55451)+E(f337(f337(f22(a1),f337(f337(f81(a1),x55451),x55451)),a100),a100)
% 198.12/198.40 [5546]~E(x55461,a100)+E(f337(f337(f22(a1),f337(f337(f81(a1),x55461),x55461)),a100),a100)
% 198.12/198.40 [6054]E(x60541,a100)+~E(f337(f337(f22(a1),f337(f337(f81(a1),x60541),x60541)),a100),a100)
% 198.12/198.40 [6055]E(a100,x60551)+~E(f337(f337(f22(a1),f337(f337(f81(a1),x60551),x60551)),a100),a100)
% 198.12/198.40 [6463]~E(f337(f106(a884),x64631),f2(a884))+P24(f337(a202,f337(f106(a1),f337(f337(f81(a1),x64631),a100))))
% 198.12/198.40 [6810]~P24(f337(a202,f337(f106(a1),x68101)))+P24(f337(a202,f337(f106(a1),f337(f337(f81(a1),x68101),x68101))))
% 198.12/198.40 [6811]~P24(f337(f337(f251(a1),x68111),a84))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x68111),x68111)),a84))
% 198.12/198.40 [6812]~P24(f337(f337(f251(a1),x68121),a100))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x68121),x68121)),a100))
% 198.12/198.40 [6813]~P24(f337(f337(f252(a1),x68131),a84))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x68131),x68131)),a84))
% 198.12/198.40 [6814]~P24(f337(f337(f251(a1),x68141),a100))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x68141),x68141)),a100))
% 198.12/198.40 [6815]~P24(f337(f337(f92(a1),x68151),a84))+P24(f337(f337(f92(a1),f337(f337(f81(a1),x68151),x68151)),a84))
% 198.12/198.40 [7137]E(f337(f106(a884),x71371),f2(a884))+~P24(f337(a202,f337(f106(a1),f337(f337(f81(a1),x71371),a100))))
% 198.12/198.40 [7380]~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x73801)))+P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),f337(f337(f81(a1),x73801),x73801))))
% 198.12/198.40 [7381]P24(f337(a202,f337(f106(a1),x73811)))+~P24(f337(a202,f337(f106(a1),f337(f337(f81(a1),x73811),x73811))))
% 198.12/198.40 [7382]P24(f337(f337(f251(a1),x73821),a84))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),x73821),x73821)),a84))
% 198.12/198.40 [7383]P24(f337(f337(f251(a1),x73831),a100))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),x73831),x73831)),a100))
% 198.12/198.40 [7384]P24(f337(f337(f251(a1),x73841),a100))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),x73841),x73841)),a100))
% 198.12/198.40 [7385]P24(f337(f337(f252(a1),x73851),a84))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),x73851),x73851)),a84))
% 198.12/198.40 [7386]P24(f337(f337(f92(a1),x73861),a84))+~P24(f337(f337(f92(a1),f337(f337(f81(a1),x73861),x73861)),a84))
% 198.12/198.40 [7754]E(f337(a109,f548(x77541)),x77541)+~P24(f337(f337(f339(f893(f892(a884,a884),a878)),x77541),a101))
% 198.12/198.40 [6382]~P93(x63821)+E(f337(f106(x63821),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f79(x63821))
% 198.12/198.40 [6862]~P24(f337(a202,f337(f106(a1),x68621)))+E(f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),x68621),x68621)),a100)),f2(a884))
% 198.12/198.40 [7929]~P24(f337(f337(f252(a1),f337(f106(a1),x79291)),f2(a1)))+E(f337(f271(a1,a1),f337(a51,f50(f337(f80(a1),f79(a1)),f337(f80(a1),f337(f106(a1),x79291))))),f337(f337(f39(a1),f79(a1)),f337(f106(a1),x79291)))
% 198.12/198.40 [7942]~P24(f337(f337(f252(a1),f337(f106(a1),x79421)),f2(a1)))+E(f337(f275(a1,a1),f337(a51,f50(f337(f80(a1),f79(a1)),f337(f80(a1),f337(f106(a1),x79421))))),f45(a1,f79(a1),f337(f106(a1),x79421)))
% 198.12/198.40 [7989]~P24(f337(f337(f251(a1),a84),x79891))+P24(f337(f337(f251(a1),a84),f337(f337(f22(a1),f337(f337(f81(a1),x79891),x79891)),a100)))
% 198.12/198.40 [7990]~P24(f337(f337(f251(a1),a100),x79901))+P24(f337(f337(f251(a1),a100),f337(f337(f22(a1),f337(f337(f81(a1),x79901),x79901)),a100)))
% 198.12/198.40 [7991]~P24(f337(f337(f251(a1),a84),x79911))+P24(f337(f337(f252(a1),a84),f337(f337(f22(a1),f337(f337(f81(a1),x79911),x79911)),a100)))
% 198.12/198.40 [7992]~P24(f337(f337(f252(a1),a100),x79921))+P24(f337(f337(f252(a1),a100),f337(f337(f22(a1),f337(f337(f81(a1),x79921),x79921)),a100)))
% 198.12/198.40 [7993]~P24(f337(f337(f92(a1),a100),x79931))+P24(f337(f337(f92(a1),a100),f337(f337(f22(a1),f337(f337(f81(a1),x79931),x79931)),a100)))
% 198.12/198.40 [8293]~P93(x82931)+~P32(x82931,f337(f106(x82931),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))
% 198.12/198.40 [8469]P24(f337(f337(f251(a1),a84),x84691))+~P24(f337(f337(f251(a1),a84),f337(f337(f22(a1),f337(f337(f81(a1),x84691),x84691)),a100)))
% 198.12/198.40 [8470]P24(f337(f337(f251(a1),a84),x84701))+~P24(f337(f337(f252(a1),a84),f337(f337(f22(a1),f337(f337(f81(a1),x84701),x84701)),a100)))
% 198.12/198.40 [8471]P24(f337(f337(f251(a1),a100),x84711))+~P24(f337(f337(f251(a1),a100),f337(f337(f22(a1),f337(f337(f81(a1),x84711),x84711)),a100)))
% 198.12/198.40 [8472]P24(f337(f337(f252(a1),a100),x84721))+~P24(f337(f337(f252(a1),a100),f337(f337(f22(a1),f337(f337(f81(a1),x84721),x84721)),a100)))
% 198.12/198.40 [8473]P24(f337(f337(f92(a1),a100),x84731))+~P24(f337(f337(f92(a1),a100),f337(f337(f22(a1),f337(f337(f81(a1),x84731),x84731)),a100)))
% 198.12/198.40 [8773]E(f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),x87731),x87731)),a100)),f337(f337(f87(a884,a884),f337(f106(a884),x87731)),f337(f337(f8(a884,a884,a884),a115),f337(f337(f18(a884,a884,a884),f81(a884)),f5(a884)))))+P24(f337(a202,f337(f106(a1),x87731)))
% 198.12/198.40 [9599]E(x95991,f197(f893(f892(a884,a884),a878)))+P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x95991),f197(f893(f892(a884,a884),a878)))),a36))
% 198.12/198.40 [8704]~P24(f337(a202,f337(f106(a1),x87041)))+P24(f337(a202,f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87041),x87041)),a100))))
% 198.12/198.40 [8705]~P24(f337(f337(f252(a1),x87051),a84))+P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87051),x87051)),a100)),a84))
% 198.12/198.40 [8706]~P24(f337(f337(f251(a1),x87061),a100))+P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87061),x87061)),a100)),a100))
% 198.12/198.40 [8707]~P24(f337(f337(f252(a1),x87071),a84))+P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87071),x87071)),a100)),a84))
% 198.12/198.40 [8708]~P24(f337(f337(f252(a1),x87081),a100))+P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87081),x87081)),a100)),a100))
% 198.12/198.40 [8709]~P24(f337(f337(f92(a1),x87091),a100))+P24(f337(f337(f92(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87091),x87091)),a100)),a100))
% 198.12/198.40 [8808]~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x88081)))+P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),x88081),x88081)),a100))))
% 198.12/198.40 [8965]~P93(x89651)+E(f337(f337(f81(x89651),f79(x89651)),f79(x89651)),f337(f106(x89651),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))
% 198.12/198.40 [9113]P24(f337(a202,f337(f106(a1),x91131)))+~P24(f337(a202,f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91131),x91131)),a100))))
% 198.12/198.40 [9114]P24(f337(f337(f251(a1),x91141),a100))+~P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91141),x91141)),a100)),a100))
% 198.12/198.40 [9115]P24(f337(f337(f252(a1),x91151),a84))+~P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91151),x91151)),a100)),a84))
% 198.12/198.40 [9116]P24(f337(f337(f252(a1),x91161),a84))+~P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91161),x91161)),a100)),a84))
% 198.12/198.40 [9117]P24(f337(f337(f252(a1),x91171),a100))+~P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91171),x91171)),a100)),a100))
% 198.12/198.40 [9118]P24(f337(f337(f92(a1),x91181),a100))+~P24(f337(f337(f92(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91181),x91181)),a100)),a100))
% 198.12/198.40 [9645]~P24(f337(f62(f892(a884,a884)),x96451))+P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),f197(f893(f892(a884,a884),a878))),x96451)),a70))
% 198.12/198.40 [9431]~P142(x94311)+E(f337(f337(f262(x94311),f79(x94311)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f79(x94311))
% 198.12/198.40 [9432]~P142(x94321)+E(f337(f337(f262(x94321),f2(x94321)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f2(x94321))
% 198.12/198.40 [9874]~P24(f337(f337(f252(a884),f79(a884)),x98741))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f39(a884),x98741),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.40 [9884]~P24(f337(f337(f252(a884),f2(a884)),x98841))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f39(a884),f337(f337(f81(a884),x98841),f79(a884))),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.40 [9926]~E(f45(a884,x99261,f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f79(a884))+P24(f337(f337(f252(a884),f2(a884)),f45(a884,x99261,f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.40 [9945]E(f45(a884,x99451,f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f79(a884))+~P24(f337(f337(f252(a884),f2(a884)),f45(a884,x99451,f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.40 [4671]~P39(x46711,x46712)+P54(x46711,x46712)
% 198.12/198.40 [4672]~P45(x46721,x46722)+P54(x46721,x46722)
% 198.12/198.40 [4633]~E(x46331,x46332)+E(f284(x46331,x46332),f79(a102))
% 198.12/198.40 [4636]E(f229(x46361,x46362),x46361)+~E(x46362,f2(a884))
% 198.12/198.40 [4643]~E(x46432,f116(x46431))+E(f154(x46431,x46432),f116(x46431))
% 198.12/198.40 [4662]~E(f154(x46622,x46621),f116(x46622))+E(x46621,f116(x46622))
% 198.12/198.40 [4676]~P62(x46762)+P62(f893(x46761,x46762))
% 198.12/198.40 [4677]~P63(x46772)+P63(f893(x46771,x46772))
% 198.12/198.40 [4678]~P106(x46782)+P106(f893(x46781,x46782))
% 198.12/198.40 [4679]~P107(x46792)+P107(f893(x46791,x46792))
% 198.12/198.40 [4680]~P64(x46802)+P64(f893(x46801,x46802))
% 198.12/198.40 [4681]~P97(x46812)+P65(f893(x46811,x46812))
% 198.12/198.40 [4682]~P64(x46822)+P100(f893(x46821,x46822))
% 198.12/198.40 [4683]~P66(x46832)+P66(f893(x46831,x46832))
% 198.12/198.40 [4684]~P64(x46842)+P101(f893(x46841,x46842))
% 198.12/198.40 [4685]~P98(x46852)+P98(f893(x46851,x46852))
% 198.12/198.40 [4686]~P86(x46862)+P86(f893(x46861,x46862))
% 198.12/198.40 [4687]~P87(x46872)+P87(f893(x46871,x46872))
% 198.12/198.40 [4688]~P114(x46882)+P114(f893(x46881,x46882))
% 198.12/198.40 [4689]~P97(x46892)+P99(f893(x46891,x46892))
% 198.12/198.40 [4690]~P28(x46902)+P28(f893(x46901,x46902))
% 198.12/198.40 [4691]~P97(x46912)+P97(f893(x46911,x46912))
% 198.12/198.40 [4703]E(x47031,x47032)+~E(f337(a28,x47031),f337(a28,x47032))
% 198.12/198.40 [4705]E(x47051,x47052)+~E(f337(a115,x47051),f337(a115,x47052))
% 198.12/198.40 [4706]E(x47061,x47062)+~E(f337(a109,x47061),f337(a109,x47062))
% 198.12/198.40 [4707]E(x47071,x47072)+~E(f337(a3,x47071),f337(a3,x47072))
% 198.12/198.40 [4709]E(x47091,x47092)+~E(f337(a19,x47091),f337(a19,x47092))
% 198.12/198.40 [4813]~P26(x48131)+E(f45(x48131,x48132,x48132),f2(x48131))
% 198.12/198.40 [4847]~P39(x48471,x48472)+P39(f885(x48471),f148(x48471,x48472))
% 198.12/198.40 [4848]~P39(x48481,x48482)+P39(f885(x48481),f147(x48481,x48482))
% 198.12/198.40 [4944]~P39(x49441,x49442)+P39(f893(x49441,a878),f329(x49441,x49442))
% 198.12/198.40 [4945]~P39(x49451,x49452)+P39(f893(x49451,a878),f328(x49451,x49452))
% 198.12/198.40 [5065]~P29(x50651)+P40(f308(a1,x50651,x50652))
% 198.12/198.40 [5168]~P39(x51681,x51682)+P56(x51681,f68(x51681,x51681,x51682))
% 198.12/198.40 [5674]~P78(x56741)+P21(x56741,x56741,f80(x56741),x56742)
% 198.12/198.40 [4657]~E(x46572,f116(x46571))+E(f337(f170(x46571),x46572),f116(x46571))
% 198.12/198.40 [4658]~E(x46582,f116(x46581))+E(f337(f171(x46581),x46582),f116(x46581))
% 198.12/198.40 [4713]E(x47131,f337(a107,x47132))+~E(f337(f103(a1),x47131),x47132)
% 198.12/198.40 [4716]E(x47161,f116(x47162))+~E(f337(f170(x47162),x47161),f116(x47162))
% 198.12/198.40 [4717]E(x47171,f116(x47172))+~E(f337(f171(x47172),x47171),f116(x47172))
% 198.12/198.40 [4735]~P93(x47351)+E(f337(f106(x47351),x47352),f337(f105(x47351),x47352))
% 198.12/198.40 [4742]~E(x47422,f210(x47421))+E(f244(x47421,x47422),f197(f893(x47421,a878)))
% 198.12/198.40 [4744]~P25(x47441)+P24(f337(f62(x47441),x47442))
% 198.12/198.40 [4751]E(x47511,f210(x47512))+E(f337(f209(x47512),f680(x47512,x47511)),x47511)
% 198.12/198.40 [4752]E(x47521,f210(x47522))+E(f337(f209(x47522),f817(x47522,x47521)),x47521)
% 198.12/198.40 [4754]~E(f681(x47542,x47541),f116(x47541))+E(f183(x47541,x47542),f116(f885(x47541)))
% 198.12/198.40 [4763]~E(x47632,f116(x47631))+E(f337(f175(x47631),x47632),f197(f893(x47631,a878)))
% 198.12/198.40 [4764]~E(x47642,f116(x47641))+E(f197(f893(x47641,a878)),f337(f175(x47641),x47642))
% 198.12/198.40 [4766]E(x47661,x47662)+~E(f337(f103(a1),x47661),f337(f103(a1),x47662))
% 198.12/198.40 [4769]E(f227(x47691,x47692),f2(a884))+P24(f337(f62(x47691),x47692))
% 198.12/198.40 [4789]~P116(x47891)+E(f83(x47891,f83(x47891,x47892)),f83(x47891,x47892))
% 198.12/198.40 [4802]~P80(x48021)+E(f337(f337(f262(x48021),x48022),f79(a884)),x48022)
% 198.12/198.40 [4803]~P110(x48031)+E(f337(f337(f262(x48031),x48032),f79(a884)),x48032)
% 198.12/198.40 [4807]E(x48071,x48072)+E(f284(x48071,x48072),f337(f337(f81(a102),x48072),f79(a102)))
% 198.12/198.40 [4810]E(f337(f38(x48101),x48102),f2(a884))+P24(f337(f62(x48101),x48102))
% 198.12/198.40 [4814]~E(f154(x48141,x48142),x48142)+P24(f337(f139(x48141),x48142))
% 198.12/198.40 [4817]~P65(x48171)+E(f337(f337(f113(x48171),x48172),f197(x48171)),x48172)
% 198.12/198.40 [4818]~P75(x48181)+E(f337(f337(f22(x48181),x48182),f2(x48181)),x48182)
% 198.12/198.40 [4819]~P74(x48191)+E(f337(f337(f82(x48191),x48192),f79(x48191)),x48192)
% 198.12/198.40 [4820]~P80(x48201)+E(f337(f337(f82(x48201),x48202),f79(x48201)),x48202)
% 198.12/198.40 [4821]~P110(x48211)+E(f337(f337(f82(x48211),x48212),f79(x48211)),x48212)
% 198.12/198.40 [4822]~P99(x48221)+E(f337(f337(f104(x48221),x48222),f260(x48221)),x48222)
% 198.12/198.40 [4823]~P70(x48231)+E(f337(f337(f81(x48231),x48232),f2(x48231)),x48232)
% 198.12/198.40 [4824]~P110(x48241)+E(f337(f337(f81(x48241),x48242),f2(x48241)),x48242)
% 198.12/198.40 [4825]~P81(x48251)+E(f337(f337(f81(x48251),x48252),f2(x48251)),x48252)
% 198.12/198.40 [4826]~P26(x48261)+E(f337(f337(f39(x48261),x48262),f79(x48261)),x48262)
% 198.12/198.40 [4827]~P118(x48271)+E(f337(f337(f295(x48271),x48272),f79(x48271)),x48272)
% 198.12/198.40 [4828]~P110(x48281)+E(f337(f337(f262(x48281),x48282),f2(a884)),f79(x48281))
% 198.12/198.40 [4829]~P113(x48291)+E(f337(f337(f262(x48291),x48292),f2(a884)),f79(x48291))
% 198.12/198.40 [4830]~E(x48302,f197(f893(x48301,a878)))+E(f337(f38(x48301),x48302),f2(a884))
% 198.12/198.40 [4841]~P26(x48411)+E(f45(x48411,x48412,f2(x48411)),x48412)
% 198.12/198.40 [4849]~P99(x48491)+E(f337(f337(f113(x48491),x48492),f260(x48491)),f260(x48491))
% 198.12/198.40 [4850]~P110(x48501)+E(f337(f337(f82(x48501),x48502),f2(x48501)),f2(x48501))
% 198.12/198.40 [4851]~P128(x48511)+E(f337(f337(f82(x48511),x48512),f2(x48511)),f2(x48511))
% 198.12/198.40 [4852]~P65(x48521)+E(f337(f337(f104(x48521),x48522),f197(x48521)),f197(x48521))
% 198.12/198.40 [4853]~P26(x48531)+E(f337(f337(f39(x48531),x48532),f2(x48531)),f2(x48531))
% 198.12/198.40 [4854]~P119(x48541)+E(f337(f337(f295(x48541),x48542),f2(x48541)),f2(x48541))
% 198.12/198.40 [4855]E(x48551,f210(x48552))+~E(f244(x48552,x48551),f197(f893(x48552,a878)))
% 198.12/198.40 [4857]~P26(x48571)+E(f45(x48571,x48572,f79(x48571)),f2(x48571))
% 198.12/198.40 [4858]~P26(x48581)+E(f45(x48581,f2(x48581),x48582),f2(x48581))
% 198.12/198.40 [4887]E(x48871,f2(a884))+E(f55(x48872,x48871,f116(x48872)),f116(f885(x48872)))
% 198.12/198.40 [4911]P39(x49111,x49112)+~E(f555(x49112,x49111),f197(f893(x49111,a878)))
% 198.12/198.40 [4912]E(x49121,f116(x49122))+~E(f337(f175(x49122),x49121),f197(f893(x49122,a878)))
% 198.12/198.40 [4913]E(x49131,f116(x49132))+~E(f197(f893(x49132,a878)),f337(f175(x49132),x49131))
% 198.12/198.40 [4916]~E(x49161,x49162)+P24(f337(f337(a334,x49161),x49162))
% 198.12/198.40 [4926]P24(x49261)+P24(f337(f337(a340,x49261),x49262))
% 198.12/198.40 [4927]E(x49271,f116(x49272))+E(f337(f337(f167(x49272),x49271),f2(a884)),f337(f143(x49272),x49271))
% 198.12/198.40 [4930]E(f154(x49301,x49302),x49302)+~P24(f337(f139(x49301),x49302))
% 198.12/198.40 [4935]~P24(x49352)+P24(f337(f337(a336,x49351),x49352))
% 198.12/198.40 [4936]~P24(x49361)+P24(f337(f337(a336,x49361),x49362))
% 198.12/198.40 [4937]~P24(x49372)+P24(f337(f337(a340,x49371),x49372))
% 198.12/198.40 [4947]~E(f682(x49472,x49471),f687(x49472,x49471))+P24(f337(f139(x49471),x49472))
% 198.12/198.40 [4955]E(f337(f257(x49551),x49552),f197(f893(x49551,a878)))+P24(f337(x49552,f343(x49552)))
% 198.12/198.40 [4956]E(f197(f893(x49561,a878)),f337(f257(x49561),x49562))+P24(f337(x49562,f344(x49562)))
% 198.12/198.40 [5022]~P116(x50221)+E(f337(f337(f82(x50221),x50222),f83(x50221,x50222)),f337(f76(x50221),x50222))
% 198.12/198.40 [5033]~E(x50331,f2(a1))+E(f46(x50331,x50332),f337(f337(f272(a1,a1),f2(a1)),f2(a1)))
% 198.12/198.40 [5064]~P54(x50641,x50642)+P54(x50641,f337(f292(x50641,x50641),x50642))
% 198.12/198.40 [5083]~E(f337(a26,x50831),f337(f209(a880),x50832))+P24(f337(a25,f337(a28,x50831)))
% 198.12/198.40 [5088]E(x50881,x50882)+~P24(f337(f337(a334,x50881),x50882))
% 198.12/198.40 [5092]~P24(f337(a25,x50922))+P24(f337(a25,f32(x50921,x50922)))
% 198.12/198.40 [5101]P24(x51011)+~P24(f337(f337(a335,x51012),x51011))
% 198.12/198.40 [5102]P24(x51021)+~P24(f337(f337(a335,x51021),x51022))
% 198.12/198.40 [5107]~P114(x51071)+P24(f337(f337(f251(x51071),x51072),f260(x51071)))
% 198.12/198.40 [5111]E(x51111,x51112)+~E(f337(x51111,f422(x51112,x51111)),f337(x51112,f422(x51112,x51111)))
% 198.12/198.40 [5141]E(x51411,f2(a884))+E(f229(x51411,f45(a884,x51412,x51411)),f229(x51412,x51411))
% 198.12/198.40 [5146]~P105(x51461)+P30(x51461,f337(f337(f153(x51461),x51462),f116(x51461)))
% 198.12/198.40 [5148]E(x51481,f2(a1))+P24(f337(f49(x51482,x51481),f46(x51482,x51481)))
% 198.12/198.40 [5166]~E(x51661,x51662)+P24(f337(f337(f252(a884),x51661),f337(a115,x51662)))
% 198.12/198.40 [5176]~E(x51761,f2(a884))+P24(f337(f337(f252(a884),x51761),f337(a115,x51762)))
% 198.12/198.40 [5186]P24(f337(x51861,x51862))+P24(f337(f337(f251(a1),f2(a1)),f413(x51861)))
% 198.12/198.40 [5222]P24(f337(a25,x52221))+~P24(f337(a25,f32(x52222,x52221)))
% 198.12/198.40 [5224]P24(f337(a25,x52241))+~P24(f337(a25,f33(x52242,x52241)))
% 198.12/198.40 [5226]P24(f337(a25,x52261))+~P24(f337(a25,f33(x52261,x52262)))
% 198.12/198.40 [5259]P54(x52591,x52592)+~P54(x52591,f337(f292(x52591,x52591),x52592))
% 198.12/198.40 [5262]~E(f45(a884,x52622,x52621),f2(a884))+E(f337(f337(f82(a884),x52621),f348(x52621,x52622)),x52622)
% 198.12/198.40 [5263]~E(f45(a1,x52632,x52631),f2(a1))+E(f337(f337(f82(a1),x52631),f863(x52631,x52632)),x52632)
% 198.12/198.40 [5290]~P24(f337(x52901,x52902))+P24(f337(f337(f251(a1),f2(a1)),f346(x52901)))
% 198.12/198.40 [5302]E(f337(f337(f22(a884),f337(a107,x53021)),f337(a107,x53022)),f337(a107,x53021))+~P24(f337(a202,x53022))
% 198.12/198.40 [5332]E(f285(x53321,x53322),f79(a102))+~P24(f337(f337(f251(a102),x53321),f79(a102)))
% 198.12/198.40 [5427]E(f337(f337(f167(x54271),x54272),f682(x54272,x54271)),f337(f337(f167(x54271),x54272),f687(x54272,x54271)))+P24(f337(f139(x54271),x54272))
% 198.12/198.40 [5472]~P24(f337(x54721,f91(x54722,x54721)))+P24(f337(x54721,f556(x54722,x54721)))
% 198.12/198.40 [5535]P56(x55351,x55352)+~P24(f337(f325(x55351,x55352),f535(x55352,x55351)))
% 198.12/198.40 [5681]~E(f337(a115,f45(a884,x56811,x56812)),x56812)+E(f45(a884,f337(a115,x56811),x56812),f2(a884))
% 198.12/198.40 [5738]P39(x57381,x57382)+P24(f337(f337(f339(x57381),f602(x57382,x57381)),f603(x57382,x57381)))
% 198.12/198.40 [5745]~P138(x57451)+P24(f337(f337(f339(x57451),f337(f103(x57451),x57452)),f112(x57451)))
% 198.12/198.40 [5746]~P142(x57461)+P24(f337(f337(f339(x57461),f337(f103(x57461),x57462)),f195(x57461)))
% 198.12/198.40 [5747]~P138(x57471)+P24(f337(f337(f339(x57471),f337(f105(x57471),x57472)),f112(x57471)))
% 198.12/198.40 [5748]~P93(x57481)+P24(f337(f337(f339(x57481),f337(f106(x57481),x57482)),f112(x57481)))
% 198.12/198.40 [5894]E(f337(a115,f45(a884,x58941,x58942)),x58942)+E(f45(a884,f337(a115,x58941),x58942),f337(a115,f45(a884,x58941,x58942)))
% 198.12/198.40 [6314]P39(x63141,x63142)+~P24(f337(f337(f339(x63141),f503(x63142,x63141)),f326(x63141,x63142)))
% 198.12/198.40 [6348]~P122(x63481)+~P24(f337(f337(f252(x63481),f337(f103(x63481),x63482)),f2(x63481)))
% 198.12/198.40 [6349]~P85(x63491)+~P24(f337(f337(f252(x63491),f337(f76(x63491),x63492)),f2(x63491)))
% 198.12/198.40 [6436]P24(f337(f337(f252(a1),x64361),f45(a1,x64362,x64361)))+~P24(f337(f337(f252(a1),x64361),f2(a1)))
% 198.12/198.40 [6536]E(f337(f337(f315(a884),f337(a115,x65361)),f308(a884,x65362,x65361)),f308(a884,x65362,f337(a115,x65361)))+~P24(f337(f337(f251(a884),x65362),f337(a115,x65361)))
% 198.12/198.40 [6626]~P105(x66261)+P30(x66261,f152(x66261,x66261,f5(x66261),x66262))
% 198.12/198.40 [6754]E(f337(f170(x67541),x67542),x67542)+~P24(f337(f337(f251(a884),f337(f198(f885(x67541)),x67542)),f79(a884)))
% 198.12/198.40 [6774]~P85(x67741)+P24(f337(f337(f251(x67741),f337(f80(x67741),f337(f76(x67741),x67742))),f2(x67741)))
% 198.12/198.40 [6807]~P39(x68071,x68072)+P39(x68071,f337(f337(f294(x68071,x68071,x68071),x68072),f313(x68071,x68072)))
% 198.12/198.40 [7028]~P24(f337(f337(f252(a1),x70282),f2(a1)))+P24(f337(f337(f251(a1),f45(a1,x70281,x70282)),f2(a1)))
% 198.12/198.40 [7425]~P142(x74251)+E(f199(x74251,f337(f337(f7(x74251,x74251,x74251),f81(x74251)),f79(x74251)),x74252,f2(x74251)),f337(f103(x74251),x74252))
% 198.12/198.40 [7453]~P123(x74531)+~P24(f337(f337(f252(x74531),f337(f337(f82(x74531),x74532),x74532)),f2(x74531)))
% 198.12/198.40 [10035]~P116(x100351)+~P24(f337(f337(f252(x100351),f337(f337(f262(x100351),x100352),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f2(x100351)))
% 198.12/198.40 [4714]~E(x47142,f116(x47141))+E(f337(f198(f885(x47141)),x47142),f2(a884))
% 198.12/198.40 [4755]~E(x47551,f2(a884))+E(f337(f337(f81(a884),x47551),x47552),x47552)
% 198.12/198.40 [4756]~E(x47562,f2(a884))+E(f337(f337(f82(a884),x47561),x47562),f2(a884))
% 198.12/198.40 [4758]~E(x47581,f2(a884))+E(f337(f337(f82(a884),x47581),x47582),f2(a884))
% 198.12/198.40 [4759]~E(x47592,f2(a884))+E(f337(f337(f262(a884),x47591),x47592),f79(a884))
% 198.12/198.40 [4760]~E(x47602,f2(a1))+E(f337(f337(f39(a1),x47601),x47602),f2(a1))
% 198.12/198.40 [4770]E(x47701,f116(x47702))+~E(f337(f198(f885(x47702)),x47701),f2(a884))
% 198.12/198.40 [4771]~P64(x47711)+E(f337(f337(f113(x47711),x47712),x47712),x47712)
% 198.12/198.40 [4773]~P100(x47731)+E(f337(f337(f113(x47731),x47732),x47732),x47732)
% 198.12/198.40 [4775]~P96(x47751)+E(f337(f337(f82(x47751),x47752),x47752),x47752)
% 198.12/198.40 [4776]~P64(x47761)+E(f337(f337(f104(x47761),x47762),x47762),x47762)
% 198.12/198.40 [4778]~P101(x47781)+E(f337(f337(f104(x47781),x47782),x47782),x47782)
% 198.12/198.40 [4780]~P105(x47801)+E(f337(f337(f249(x47801),x47802),x47802),x47802)
% 198.12/198.40 [4782]~P105(x47821)+E(f337(f337(f250(x47821),x47822),x47822),x47822)
% 198.12/198.40 [4801]~P75(x48011)+E(f337(f337(f22(x48011),x48012),x48012),f2(x48011))
% 198.12/198.40 [4815]~P75(x48151)+E(f337(f80(x48151),f337(f80(x48151),x48152)),x48152)
% 198.12/198.40 [4816]~P86(x48161)+E(f337(f80(x48161),f337(f80(x48161),x48162)),x48162)
% 198.12/198.40 [4833]~E(x48332,f2(a884))+E(f337(f337(f262(a884),x48331),x48332),f337(a115,f2(a884)))
% 198.12/198.40 [4866]~P65(x48661)+E(f337(f337(f113(x48661),f197(x48661)),x48662),x48662)
% 198.12/198.40 [4867]~P74(x48671)+E(f337(f337(f82(x48671),f79(x48671)),x48672),x48672)
% 198.12/198.40 [4868]~P80(x48681)+E(f337(f337(f82(x48681),f79(x48681)),x48682),x48682)
% 198.12/198.40 [4869]~P110(x48691)+E(f337(f337(f82(x48691),f79(x48691)),x48692),x48692)
% 198.12/198.40 [4870]~P99(x48701)+E(f337(f337(f104(x48701),f260(x48701)),x48702),x48702)
% 198.12/198.40 [4871]~P70(x48711)+E(f337(f337(f81(x48711),f2(x48711)),x48712),x48712)
% 198.12/198.40 [4872]~P110(x48721)+E(f337(f337(f81(x48721),f2(x48721)),x48722),x48722)
% 198.12/198.40 [4873]~P81(x48731)+E(f337(f337(f81(x48731),f2(x48731)),x48732),x48732)
% 198.12/198.40 [4892]~P99(x48921)+E(f337(f337(f113(x48921),f260(x48921)),x48922),f260(x48921))
% 198.12/198.40 [4893]~P110(x48931)+E(f337(f337(f82(x48931),f2(x48931)),x48932),f2(x48931))
% 198.12/198.40 [4894]~P128(x48941)+E(f337(f337(f82(x48941),f2(x48941)),x48942),f2(x48941))
% 198.12/198.40 [4895]~P65(x48951)+E(f337(f337(f104(x48951),f197(x48951)),x48952),f197(x48951))
% 198.12/198.40 [4896]~P80(x48961)+E(f337(f337(f262(x48961),f79(x48961)),x48962),f79(x48961))
% 198.12/198.40 [4897]~P26(x48971)+E(f337(f337(f39(x48971),f2(x48971)),x48972),f2(x48971))
% 198.12/198.40 [4898]~P118(x48981)+E(f337(f337(f295(x48981),f2(x48981)),x48982),f2(x48981))
% 198.12/198.40 [4906]E(x49061,f116(x49062))+E(f146(x49062,f337(f171(x49062),x49061)),f337(f143(x49062),x49061))
% 198.12/198.40 [4907]E(x49071,f116(x49072))+E(f337(f143(x49072),f337(f171(x49072),x49071)),f146(x49072,x49071))
% 198.12/198.40 [4908]E(x49081,f2(a884))+~E(f337(f337(f81(a884),x49082),x49081),x49082)
% 198.12/198.40 [4914]~P138(x49141)+E(f337(f105(x49141),f337(f103(a1),x49142)),f337(f103(x49141),x49142))
% 198.12/198.40 [4915]~P93(x49151)+E(f337(f105(x49151),f337(f106(a1),x49152)),f337(f106(x49151),x49152))
% 198.12/198.40 [4922]E(x49221,f79(a884))+~E(f337(f337(f82(a884),x49222),x49221),f79(a884))
% 198.12/198.40 [4923]E(x49231,f79(a884))+~E(f337(f337(f82(a884),x49231),x49232),f79(a884))
% 198.12/198.40 [4924]E(x49241,f2(a884))+~E(f337(f337(f81(a884),x49242),x49241),f2(a884))
% 198.12/198.40 [4925]E(x49251,f2(a884))+~E(f337(f337(f81(a884),x49251),x49252),f2(a884))
% 198.12/198.40 [4940]~P85(x49401)+E(f337(f76(x49401),f337(f80(x49401),x49402)),f337(f76(x49401),x49402))
% 198.12/198.40 [4941]~P116(x49411)+E(f337(f76(x49411),f337(f103(x49411),x49412)),f337(f103(x49411),x49412))
% 198.12/198.40 [4942]~P85(x49421)+E(f337(f76(x49421),f337(f76(x49421),x49422)),f337(f76(x49421),x49422))
% 198.12/198.40 [4943]~P70(x49431)+E(f337(f168(x49431),f337(f171(x49431),x49432)),f337(f168(x49431),x49432))
% 198.12/198.40 [4948]~E(x49481,f337(a115,f2(a884)))+E(f337(f337(f262(a884),x49481),x49482),f337(a115,f2(a884)))
% 198.12/198.40 [4958]~P75(x49581)+E(f337(f337(f22(x49581),f2(x49581)),x49582),f337(f80(x49581),x49582))
% 198.12/198.40 [4959]~E(x49592,f2(a884))+E(f141(a884,f337(f307(a884,x49591),x49592)),f116(a884))
% 198.12/198.40 [4968]~P93(x49681)+E(f337(f337(f81(x49681),x49682),f337(f106(x49681),a84)),x49682)
% 198.12/198.40 [4969]E(x49691,f2(a1))+E(f47(f337(f76(a1),x49692),f337(f76(a1),x49691)),f53(x49692,x49691))
% 198.12/198.40 [4985]~E(x49851,x49852)+P24(f337(f337(f251(a884),x49851),x49852))
% 198.12/198.40 [4992]~E(x49921,f2(a102))+E(f337(f337(f81(a884),f337(a19,x49921)),x49922),x49922)
% 198.12/198.40 [4993]~E(f337(f106(a1),x49932),f337(f103(a1),x49931))+E(x49931,f337(a107,f337(f106(a1),x49932)))
% 198.12/198.40 [5002]~P29(x50021)+P29(f337(f337(f262(a1),x50021),x50022))
% 198.12/198.40 [5003]~P86(x50031)+E(f337(f337(f113(x50031),x50032),f337(f80(x50031),x50032)),f260(x50031))
% 198.12/198.40 [5004]~P86(x50041)+E(f337(f337(f104(x50041),x50042),f337(f80(x50041),x50042)),f197(x50041))
% 198.12/198.40 [5005]~P75(x50051)+E(f337(f337(f81(x50051),x50052),f337(f80(x50051),x50052)),f2(x50051))
% 198.12/198.40 [5030]E(x50301,f2(a884))+~E(f337(f80(a1),f337(f103(a1),x50302)),f337(f103(a1),x50301))
% 198.12/198.40 [5031]E(x50311,f2(a884))+~E(f337(f80(a1),f337(f103(a1),x50311)),f337(f103(a1),x50312))
% 198.12/198.40 [5041]E(f203(x50411,x50412),f2(a1))+P24(f337(f337(f251(a1),x50412),x50411))
% 198.12/198.40 [5042]E(f182(x50421,x50422),f116(a1))+P24(f337(f337(f251(a1),x50421),x50422))
% 198.12/198.40 [5055]E(x50551,f337(a115,f2(a884)))+~E(f337(f337(f82(a884),x50552),x50551),f337(a115,f2(a884)))
% 198.12/198.40 [5056]E(x50561,f337(a115,f2(a884)))+~E(f337(f337(f82(a884),x50561),x50562),f337(a115,f2(a884)))
% 198.12/198.40 [5057]~P62(x50571)+P24(f337(f337(f251(x50571),x50572),x50572))
% 198.12/198.40 [5058]~P95(x50581)+P24(f337(f337(f92(x50581),x50582),x50582))
% 198.12/198.40 [5061]~P93(x50611)+E(f337(f337(f82(x50611),x50612),f337(f106(x50611),a100)),f337(f80(x50611),x50612))
% 198.12/198.40 [5079]~P138(x50791)+E(f337(f80(x50791),f337(f105(x50791),x50792)),f337(f105(x50791),f337(f80(a1),x50792)))
% 198.12/198.40 [5080]~P93(x50801)+E(f337(f80(x50801),f337(f106(x50801),x50802)),f337(f106(x50801),f337(f80(a1),x50802)))
% 198.12/198.40 [5112]~E(x51121,f337(a115,x51122))+P24(f337(f337(f252(a884),f2(a884)),x51121))
% 198.12/198.40 [5129]~P105(x51291)+E(f337(f80(f893(x51291,a878)),f337(f258(x51291),x51292)),f337(f259(x51291),x51292))
% 198.12/198.40 [5130]~P105(x51301)+E(f337(f80(f893(x51301,a878)),f337(f309(x51301),x51302)),f337(f306(x51301),x51302))
% 198.12/198.40 [5131]~P105(x51311)+E(f337(f80(f893(x51311,a878)),f337(f259(x51311),x51312)),f337(f258(x51311),x51312))
% 198.12/198.40 [5132]~P105(x51321)+E(f337(f80(f893(x51321,a878)),f337(f306(x51321),x51322)),f337(f309(x51321),x51322))
% 198.12/198.40 [5140]~E(f337(f103(a1),x51402),x51401)+P24(f337(f337(f251(a1),f2(a1)),x51401))
% 198.12/198.40 [5147]~E(x51472,f2(a1))+E(f53(x51471,x51472),f337(f337(f272(a1,a1),f2(a1)),f337(f76(a1),x51471)))
% 198.12/198.40 [5149]~P63(x51491)+P24(f337(f337(f251(x51491),f197(x51491)),x51492))
% 198.12/198.40 [5181]E(x51811,x51812)+~E(f337(f337(f81(a1),x51811),x51811),f337(f337(f81(a1),x51812),x51812))
% 198.12/198.40 [5185]~P24(f337(x51851,x51852))+P24(f337(x51851,f337(a107,f346(x51851))))
% 198.12/198.40 [5211]~P116(x52111)+E(f337(f337(f82(x52111),f83(x52111,x52112)),f337(f76(x52111),x52112)),x52112)
% 198.12/198.40 [5220]~E(x52202,f2(a884))+E(f86(f892(a884,a884),f48(x52201,x52202)),f337(f337(f272(a884,a884),f2(a884)),x52201))
% 198.12/198.40 [5231]~E(x52311,x52312)+~P24(f337(f337(f252(a884),x52311),x52312))
% 198.12/198.40 [5232]~E(x52321,x52322)+~P24(f337(f337(f252(a1),x52321),x52322))
% 198.12/198.40 [5235]~P142(x52351)+E(f337(f337(f81(x52351),f79(x52351)),f337(f103(x52351),x52352)),f337(f103(x52351),f337(a115,x52352)))
% 198.12/198.40 [5239]~E(x52391,f2(a884))+~P24(f337(f337(f252(a884),x52392),x52391))
% 198.12/198.40 [5255]E(f154(x52551,x52552),x52552)+~E(f337(f198(f885(x52551)),f154(x52551,x52552)),f337(f198(f885(x52551)),x52552))
% 198.12/198.40 [5256]E(f337(f38(x52561),f337(f175(x52561),x52562)),f337(f198(f885(x52561)),x52562))+~P24(f337(f139(x52561),x52562))
% 198.12/198.40 [5267]~P24(f337(x52671,f351(x52671)))+P24(f337(x52671,f337(f103(a1),x52672)))
% 198.12/198.40 [5278]E(f285(x52781,x52782),f79(a102))+~P24(f337(f337(f252(a102),x52782),x52781))
% 198.12/198.40 [5279]E(f182(x52791,x52792),f116(a1))+~P24(f337(f337(f252(a1),x52792),x52791))
% 198.12/198.40 [5280]E(f128(x52801,x52802),f118(a1))+~P24(f337(f337(f252(a1),x52801),x52802))
% 198.12/198.40 [5283]~P106(x52831)+E(f308(x52831,x52832,x52832),f337(f337(f315(x52831),x52832),f197(f893(x52831,a878))))
% 198.12/198.40 [5305]~E(f337(f337(f22(a884),x53051),x53052),f2(a884))+P24(f337(f337(f251(a884),x53051),x53052))
% 198.12/198.40 [5306]~E(f337(f337(f22(a1),x53061),x53062),f2(a1))+P24(f337(f337(f92(a1),x53061),x53062))
% 198.12/198.40 [5329]~E(x53292,f2(a884))+E(f55(x53291,x53292,f116(x53291)),f337(f337(f153(f885(x53291)),f116(x53291)),f116(f885(x53291))))
% 198.12/198.40 [5333]~P62(x53331)+~P24(f337(f337(f252(x53331),x53332),x53332))
% 198.12/198.40 [5336]~E(f45(a1,x53361,x53362),f2(a1))+E(f45(a1,x53361,f337(f80(a1),x53362)),f2(a1))
% 198.12/198.40 [5338]~E(f45(a1,x53381,x53382),f2(a1))+E(f45(a1,f337(f80(a1),x53381),x53382),f2(a1))
% 198.12/198.40 [5347]E(f337(f307(a884,x53471),f337(a115,x53472)),f197(f893(a884,a878)))+P24(f337(f337(f251(a884),x53471),x53472))
% 198.12/198.40 [5368]E(f141(a884,f337(f307(a884,x53681),x53682)),f116(a884))+P24(f337(f337(f252(a884),x53681),x53682))
% 198.12/198.40 [5373]~E(f337(f38(x53731),f337(f175(x53731),x53732)),f337(f198(f885(x53731)),x53732))+P24(f337(f139(x53731),x53732))
% 198.12/198.40 [5378]~P24(f337(f139(x53781),x53782))+P24(f337(f139(x53781),f337(f170(x53781),x53782)))
% 198.12/198.40 [5379]~P24(f337(f139(x53791),x53792))+P24(f337(f139(x53791),f337(f174(x53791),x53792)))
% 198.12/198.40 [5380]~P24(f337(f139(x53801),x53802))+P24(f337(f139(x53801),f337(f171(x53801),x53802)))
% 198.12/198.40 [5387]P24(f337(x53871,x53872))+~P24(f337(x53871,f337(a107,f413(x53871))))
% 198.12/198.40 [5388]P24(f337(f337(f251(a884),x53882),x53881))+P24(f337(f337(f251(a884),x53881),x53882))
% 198.12/198.40 [5389]P24(f337(f337(f251(a1),x53892),x53891))+P24(f337(f337(f251(a1),x53891),x53892))
% 198.12/198.40 [5391]~P85(x53911)+P24(f337(f337(f251(x53911),x53912),f337(f76(x53911),x53912)))
% 198.12/198.40 [5394]P24(f337(x53941,f362(x53941)))+~P24(f337(x53941,f337(f103(a1),x53942)))
% 198.12/198.40 [5419]E(f337(f337(f22(a884),x54191),x54192),f2(a884))+~P24(f337(f337(f251(a884),x54191),x54192))
% 198.12/198.40 [5420]E(f337(f337(f22(a1),x54201),x54202),f2(a1))+~P24(f337(f337(f92(a1),x54201),x54202))
% 198.12/198.40 [5421]E(f337(f337(f39(a884),x54211),x54212),f2(a884))+~P24(f337(f337(f252(a884),x54211),x54212))
% 198.12/198.40 [5439]E(f45(a884,x54391,x54392),x54391)+~P24(f337(f337(f252(a884),x54391),x54392))
% 198.12/198.40 [5448]E(f45(a1,x54481,f337(f80(a1),x54482)),f296(x54481,x54482))+P24(f337(f337(f251(a1),f2(a1)),x54482))
% 198.12/198.40 [5460]E(f337(f337(f22(a1),x54601),x54602),f203(x54601,x54602))+~P24(f337(f337(f251(a1),x54602),x54601))
% 198.12/198.40 [5479]P24(f337(f337(f251(a1),f2(a1)),f351(x54791)))+P24(f337(x54791,f337(f103(a1),x54792)))
% 198.12/198.40 [5491]~P57(x54911)+P24(f337(f337(f339(x54911),x54912),f337(f175(x54911),f56(x54911))))
% 198.12/198.40 [5493]~P122(x54931)+P24(f337(f337(f251(x54931),f2(x54931)),f337(f103(x54931),x54932)))
% 198.12/198.40 [5494]~P85(x54941)+P24(f337(f337(f251(x54941),f2(x54941)),f337(f76(x54941),x54942)))
% 198.12/198.40 [5521]E(f337(f337(f81(a884),x55211),f723(x55212,x55211)),x55212)+~P24(f337(f337(f251(a884),x55211),x55212))
% 198.12/198.40 [5533]~E(f337(f106(a1),x55331),f337(f103(a1),x55332))+P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x55331)))
% 198.12/198.40 [5536]E(f308(a1,x55361,x55362),f197(f893(a1,a878)))+~P24(f337(f337(f252(a1),x55362),x55361))
% 198.12/198.40 [5539]~P116(x55391)+E(f337(f337(f82(x55391),f337(f76(x55391),x55392)),f337(f76(x55391),x55392)),f337(f337(f82(x55391),x55392),x55392))
% 198.12/198.40 [5544]E(f141(a884,f337(f307(a884,x55441),f337(a115,x55442))),f116(a884))+P24(f337(f337(f251(a884),x55441),x55442))
% 198.12/198.40 [5548]E(f337(f337(f39(a1),x55481),x55482),f297(x55481,x55482))+~P24(f337(f337(f251(a1),f2(a1)),x55482))
% 198.12/198.40 [5568]P24(f337(f139(x55681),x55682))+~P24(f337(f139(x55681),f337(f170(x55681),x55682)))
% 198.12/198.40 [5569]P24(f337(f139(x55691),x55692))+~P24(f337(f139(x55691),f337(f171(x55691),x55692)))
% 198.12/198.40 [5590]P24(f337(f62(a884),x55901))+P24(f337(f337(f339(a884),f352(x55901,x55902)),x55901))
% 198.12/198.40 [5591]P24(f337(f62(a884),x55911))+P24(f337(f337(f339(a884),f359(x55911,x55912)),x55911))
% 198.12/198.40 [5594]P24(f337(f337(f252(a884),x55942),f337(a115,x55941)))+P24(f337(f337(f252(a884),x55941),x55942))
% 198.12/198.40 [5595]E(f45(a1,x55951,x55952),f296(x55951,x55952))+~P24(f337(f337(f251(a1),f2(a1)),x55952))
% 198.12/198.40 [5598]E(f141(a884,f337(f307(a884,x55981),x55982)),f116(a884))+~P24(f337(f337(f251(a884),x55982),x55981))
% 198.12/198.40 [5599]~P78(x55991)+E(f337(f316(x55991,x55991,f80(x55991)),f337(f258(x55991),x55992)),f337(f309(x55991),f337(f80(x55991),x55992)))
% 198.12/198.40 [5600]~P78(x56001)+E(f337(f316(x56001,x56001,f80(x56001)),f337(f309(x56001),x56002)),f337(f258(x56001),f337(f80(x56001),x56002)))
% 198.12/198.40 [5601]~P78(x56011)+E(f337(f316(x56011,x56011,f80(x56011)),f337(f259(x56011),x56012)),f337(f306(x56011),f337(f80(x56011),x56012)))
% 198.12/198.40 [5602]~P78(x56021)+E(f337(f316(x56021,x56021,f80(x56021)),f337(f306(x56021),x56022)),f337(f259(x56021),f337(f80(x56021),x56022)))
% 198.12/198.40 [5613]E(x56131,f197(f893(x56132,a878)))+P24(f337(f337(f339(x56132),f601(x56131,x56132)),x56131))
% 198.12/198.40 [5614]E(x56141,f197(f893(x56142,a878)))+P24(f337(f337(f339(x56142),f557(x56141,x56142)),x56141))
% 198.12/198.40 [5625]~P24(f337(f337(f252(a884),x56251),x56252))+P24(f337(f337(f251(a884),x56251),x56252))
% 198.12/198.40 [5626]~P24(f337(f337(f252(a1),x56261),x56262))+P24(f337(f337(f251(a1),x56261),x56262))
% 198.12/198.40 [5642]E(f47(x56421,x56422),f337(f337(f272(a1,a1),f2(a1)),x56421))+~P24(f337(f337(f252(a1),x56421),x56422))
% 198.12/198.40 [5644]E(f228(f337(f80(a1),x56441),f337(f80(a1),x56442)),f228(x56441,x56442))+~P24(f337(f337(f252(a1),x56442),f2(a1)))
% 198.12/198.40 [5655]E(x56551,x56552)+~E(f337(a3,f337(a115,f337(a19,x56551))),f337(a3,f337(a115,f337(a19,x56552))))
% 198.12/198.40 [5660]E(f47(x56601,x56602),f337(f337(f272(a1,a1),f2(a1)),x56601))+~P24(f337(f337(f251(a1),x56602),f2(a1)))
% 198.12/198.40 [5687]E(f45(a884,f337(f106(a884),x56871),f337(f106(a884),x56872)),f2(a884))+~P24(f337(a202,f337(f106(a1),x56871)))
% 198.12/198.40 [5702]P24(f337(f337(f251(a1),f2(a1)),f362(x57021)))+~P24(f337(x57021,f337(f103(a1),x57022)))
% 198.12/198.40 [5736]P40(f308(a1,x57361,x57362))+~P24(f337(f337(f251(a1),f2(a1)),x57361))
% 198.12/198.40 [5741]~P24(f337(f62(x57411),x57412))+P24(f337(f62(f893(x57411,a878)),f337(f314(x57411),x57412)))
% 198.12/198.40 [5754]E(f337(f337(f81(a1),x57541),f337(f103(a1),f366(x57542,x57541))),x57542)+~P24(f337(f337(f251(a1),x57541),x57542))
% 198.12/198.40 [5762]P24(f337(f337(f251(a884),x57621),x57622))+P24(f337(f337(f251(a884),f337(a115,x57622)),x57621))
% 198.12/198.40 [5807]E(f337(f337(f39(a884),f337(f106(a884),x58071)),f337(f106(a884),x58072)),f2(a884))+~P24(f337(a202,f337(f106(a1),x58071)))
% 198.12/198.40 [5808]E(f337(f337(f82(a884),f337(f106(a884),x58081)),f337(f106(a884),x58082)),f2(a884))+~P24(f337(f337(f252(a1),x58081),a84))
% 198.12/198.40 [5810]P24(f337(f337(f251(a884),x58101),f337(a115,x58102)))+~P24(f337(f337(f251(a884),x58101),x58102))
% 198.12/198.40 [5812]P24(f337(f337(f252(a884),x58121),f337(a115,x58122)))+~P24(f337(f337(f251(a884),x58121),x58122))
% 198.12/198.40 [5814]P24(f337(f337(f252(a884),x58141),f337(a115,x58142)))+~P24(f337(f337(f252(a884),x58141),x58142))
% 198.12/198.40 [5817]~E(x58171,x58172)+P24(f337(f337(f252(a1),x58171),f337(f337(f81(a1),x58172),f79(a1))))
% 198.12/198.40 [5820]E(f45(a1,x58201,x58202),f2(a1))+E(f337(f337(f22(a1),x58202),f45(a1,x58201,x58202)),f45(a1,f337(f80(a1),x58201),x58202))
% 198.12/198.40 [5829]E(x58291,f116(x58292))+P24(f337(f337(f339(x58292),f146(x58292,x58291)),f337(f175(x58292),x58291)))
% 198.12/198.40 [5841]E(f86(f892(a884,a884),f48(x58411,x58412)),f337(f337(f272(a884,a884),f2(a884)),x58411))+~P24(f337(f337(f252(a884),x58411),x58412))
% 198.12/198.40 [5875]E(f337(f337(f22(a884),f337(f106(a884),x58751)),f337(f106(a884),x58752)),f337(f106(a884),x58751))+~P24(f337(f337(f252(a1),x58752),a84))
% 198.12/198.40 [5876]E(f337(f337(f81(a884),f337(f106(a884),x58761)),f337(f106(a884),x58762)),f337(f106(a884),x58762))+~P24(f337(f337(f252(a1),x58761),a84))
% 198.12/198.40 [5881]E(f337(a115,f337(f337(f81(a884),x58811),f830(x58812,x58811))),x58812)+~P24(f337(f337(f252(a884),x58811),x58812))
% 198.12/198.40 [5904]P24(f337(x59041,x59042))+~P24(f337(x59041,f337(a90,f547(x59042,x59041))))
% 198.12/198.40 [5912]~P24(f337(f337(f252(a884),x59121),f337(a115,x59122)))+P24(f337(f337(f251(a884),x59121),x59122))
% 198.12/198.40 [5958]E(f337(f337(f315(a884),x59581),f337(f307(a884,x59582),x59581)),f337(f307(a884,x59582),f337(a115,x59581)))+~P24(f337(f337(f251(a884),x59582),x59581))
% 198.12/198.40 [5962]E(x59621,f116(x59622))+E(f337(f337(f136(x59622),f117(x59622,x59621)),f337(f337(f153(x59622),f146(x59622,x59621)),f116(x59622))),x59621)
% 198.12/198.40 [5977]P24(f337(f62(x59771),x59772))+~P24(f337(f337(f252(a884),f2(a884)),f337(f38(x59771),x59772)))
% 198.12/198.40 [5979]~E(x59791,f197(f893(x59792,a878)))+~P24(f337(f337(f252(a884),f2(a884)),f337(f38(x59792),x59791)))
% 198.12/198.40 [5991]~P24(f337(f337(f252(a884),x59911),x59912))+P24(f337(f337(f251(a884),f337(a115,x59911)),x59912))
% 198.12/198.40 [5998]~P105(x59981)+E(f152(x59981,x59981,f5(x59981),f154(x59981,x59982)),f141(x59981,f337(f175(x59981),x59982)))
% 198.12/198.40 [6001]E(x60011,f116(x60012))+P24(f337(f337(f339(x60012),f337(f143(x60012),x60011)),f337(f175(x60012),x60011)))
% 198.12/198.40 [6007]~P122(x60071)+P24(f337(f337(f252(x60071),x60072),f337(f337(f81(x60071),x60072),f79(x60071))))
% 198.12/198.40 [6009]~P85(x60091)+P24(f337(f337(f251(x60091),f337(f80(x60091),x60092)),f337(f76(x60091),x60092)))
% 198.12/198.40 [6039]P24(f337(f62(a884),x60391))+~P24(f337(f337(f251(a884),f359(x60391,x60392)),x60392))
% 198.12/198.40 [6040]P24(f337(f62(a884),x60401))+~P24(f337(f337(f252(a884),f352(x60401,x60402)),x60402))
% 198.12/198.40 [6043]~P24(f337(f62(f892(x60431,x60431)),x60432))+P24(f337(f62(x60431),f337(f290(x60431),x60432)))
% 198.12/198.40 [6099]~P24(f337(f337(f252(a884),x60992),f337(a115,x60991)))+~P24(f337(f337(f252(a884),x60991),x60992))
% 198.12/198.40 [6100]~P106(x61001)+E(f337(f337(f104(f893(x61001,a878)),f337(f306(x61001),x61002)),f337(f259(x61001),x61002)),f337(f337(f315(x61001),x61002),f197(f893(x61001,a878))))
% 198.12/198.40 [6113]P24(f337(f62(x61131),x61132))+~P24(f337(f62(f893(x61131,a878)),f337(f314(x61131),x61132)))
% 198.12/198.40 [6137]P24(f337(f337(f251(a884),f337(a115,x61371)),f337(a115,x61372)))+~P24(f337(f337(f251(a884),x61371),x61372))
% 198.12/198.40 [6138]P24(f337(f337(f251(a884),f337(a19,x61381)),f337(a19,x61382)))+~P24(f337(f337(f251(a102),x61381),x61382))
% 198.12/198.40 [6139]P24(f337(f337(f251(a102),f337(a3,x61391)),f337(a3,x61392)))+~P24(f337(f337(f251(a884),x61391),x61392))
% 198.12/198.40 [6141]P24(f337(f337(f252(a884),f337(a115,x61411)),f337(a115,x61412)))+~P24(f337(f337(f252(a884),x61411),x61412))
% 198.12/198.40 [6142]P24(f337(f337(f252(a884),f337(a19,x61421)),f337(a19,x61422)))+~P24(f337(f337(f252(a102),x61421),x61422))
% 198.12/198.40 [6143]P24(f337(f337(f252(a102),f337(a3,x61431)),f337(a3,x61432)))+~P24(f337(f337(f252(a884),x61431),x61432))
% 198.12/198.40 [6146]E(x61461,x61462)+~E(f337(f316(a884,a1,f103(a1)),x61461),f337(f316(a884,a1,f103(a1)),x61462))
% 198.12/198.40 [6162]P24(f337(f337(f251(a884),x61621),x61622))+~P24(f337(f337(f251(a884),f337(a115,x61621)),x61622))
% 198.12/198.40 [6165]P24(f337(f337(f252(a884),x61651),x61652))+~P24(f337(f337(f251(a884),f337(a115,x61651)),x61652))
% 198.12/198.40 [6166]P24(f337(f337(f252(a884),x61661),x61662))+~P24(f337(f337(f252(a884),f337(a115,x61661)),x61662))
% 198.12/198.40 [6181]E(f45(a1,x61811,x61812),f2(a1))+E(f337(f337(f22(a1),f45(a1,x61811,x61812)),x61812),f45(a1,x61811,f337(f80(a1),x61812)))
% 198.12/198.40 [6254]E(f337(f38(f893(x62541,a878)),f337(f314(x62541),x62542)),f337(f337(f262(a884),f337(a115,f337(a115,f2(a884)))),f337(f38(x62541),x62542)))+~P24(f337(f62(x62541),x62542))
% 198.12/198.40 [6257]E(x62571,f116(x62572))+E(f337(f337(f167(x62572),x62571),f337(f337(f22(a884),f337(f198(f885(x62572)),x62571)),f79(a884))),f146(x62572,x62571))
% 198.12/198.40 [6282]E(x62821,f116(x62822))+E(f337(f337(f136(x62822),f337(f174(x62822),x62821)),f337(f337(f153(x62822),f337(f143(x62822),x62821)),f116(x62822))),f337(f170(x62822),x62821))
% 198.12/198.40 [6311]~P24(f337(f62(x63111),f40(f893(x63111,a878),x63112)))+P24(f337(f62(f893(x63111,a878)),x63112))
% 198.12/198.40 [6333]P24(f337(f337(f251(a884),f337(f106(a884),x63331)),f337(f106(a884),x63332)))+~P24(f337(f337(f251(a1),x63331),a84))
% 198.12/198.40 [6350]~P24(f337(f337(f252(a1),x63501),x63502))+P24(f337(f337(f251(a1),x63501),f337(f337(f22(a1),x63502),f79(a1))))
% 198.12/198.40 [6351]~P24(f337(f337(f251(a1),x63511),x63512))+P24(f337(f337(f252(a1),x63511),f337(f337(f81(a1),x63512),f79(a1))))
% 198.12/198.40 [6352]~P24(f337(f337(f252(a1),x63521),x63522))+P24(f337(f337(f252(a1),x63521),f337(f337(f81(a1),x63522),f79(a1))))
% 198.12/198.40 [6354]~P24(f337(f337(f251(a1),x63541),x63542))+P24(f337(f337(f251(a884),f337(f106(a884),x63541)),f337(f106(a884),x63542)))
% 198.12/198.40 [6356]~P24(f337(f337(f251(a884),x63561),x63562))+P24(f337(f337(f251(a1),f337(f103(a1),x63561)),f337(f103(a1),x63562)))
% 198.12/198.40 [6357]~P24(f337(f337(f251(a1),x63571),x63572))+P24(f337(f337(f251(a1),f337(f106(a1),x63571)),f337(f106(a1),x63572)))
% 198.12/198.40 [6359]~P24(f337(f337(f252(a884),x63591),x63592))+P24(f337(f337(f252(a1),f337(f103(a1),x63591)),f337(f103(a1),x63592)))
% 198.12/198.40 [6360]~P24(f337(f337(f252(a1),x63601),x63602))+P24(f337(f337(f252(a1),f337(f106(a1),x63601)),f337(f106(a1),x63602)))
% 198.12/198.40 [6361]~P24(f337(f337(f92(a1),x63611),x63612))+P24(f337(f337(f92(a1),f337(f106(a1),x63611)),f337(f106(a1),x63612)))
% 198.12/198.40 [6379]~P24(f337(f337(f251(a884),x63791),x63792))+~P24(f337(f337(f251(a884),f337(a115,x63792)),x63791))
% 198.12/198.40 [6422]~P24(f337(f337(f251(a884),f337(a115,x64221)),f337(a115,x64222)))+P24(f337(f337(f251(a884),x64221),x64222))
% 198.12/198.40 [6423]~P24(f337(f337(f251(a102),f337(a3,x64231)),f337(a3,x64232)))+P24(f337(f337(f251(a884),x64231),x64232))
% 198.12/198.40 [6424]~P24(f337(f337(f251(a884),f337(a19,x64241)),f337(a19,x64242)))+P24(f337(f337(f251(a102),x64241),x64242))
% 198.12/198.40 [6426]~P24(f337(f337(f252(a884),f337(a115,x64261)),f337(a115,x64262)))+P24(f337(f337(f252(a884),x64261),x64262))
% 198.12/198.40 [6427]~P24(f337(f337(f252(a102),f337(a3,x64271)),f337(a3,x64272)))+P24(f337(f337(f252(a884),x64271),x64272))
% 198.12/198.40 [6428]~P24(f337(f337(f252(a884),f337(a107,x64281)),f337(a107,x64282)))+P24(f337(f337(f252(a1),x64281),x64282))
% 198.12/198.40 [6429]~P24(f337(f337(f252(a884),f337(a19,x64291)),f337(a19,x64292)))+P24(f337(f337(f252(a102),x64291),x64292))
% 198.12/198.40 [6469]~P24(f337(f337(f252(a884),f337(a107,x64692)),f337(a107,x64691)))+P24(f337(f337(f252(a1),f2(a1)),x64691))
% 198.12/198.40 [6501]P24(f337(f337(f251(a1),f2(a1)),f45(a1,x65011,x65012)))+~P24(f337(f337(f252(a1),f2(a1)),x65012))
% 198.12/198.40 [6661]P39(x66611,x66612)+~E(f337(f337(f294(x66611,x66611,x66611),x66612),x66612),f197(f893(f892(x66611,x66611),a878)))
% 198.12/198.40 [6673]~P39(x66731,x66732)+P39(x66731,f337(f337(f294(x66731,x66731,x66731),x66732),x66732))
% 198.12/198.40 [6684]P24(f337(f337(f251(a1),x66841),x66842))+~P24(f337(f337(f252(a1),x66841),f337(f337(f81(a1),x66842),f79(a1))))
% 198.12/198.40 [6685]P24(f337(f337(f252(a1),x66851),x66852))+~P24(f337(f337(f251(a1),x66851),f337(f337(f22(a1),x66852),f79(a1))))
% 198.12/198.40 [6688]P24(f337(f337(f251(a884),x66881),x66882))+~P24(f337(f337(f251(a1),f337(f103(a1),x66881)),f337(f103(a1),x66882)))
% 198.12/198.40 [6689]P24(f337(f337(f251(a1),x66891),x66892))+~P24(f337(f337(f251(a1),f337(f106(a1),x66891)),f337(f106(a1),x66892)))
% 198.12/198.40 [6691]P24(f337(f337(f252(a884),x66911),x66912))+~P24(f337(f337(f252(a1),f337(f103(a1),x66911)),f337(f103(a1),x66912)))
% 198.12/198.40 [6692]P24(f337(f337(f252(a1),x66921),x66922))+~P24(f337(f337(f252(a884),f337(f106(a884),x66921)),f337(f106(a884),x66922)))
% 198.12/198.40 [6693]P24(f337(f337(f252(a1),x66931),x66932))+~P24(f337(f337(f252(a1),f337(f106(a1),x66931)),f337(f106(a1),x66932)))
% 198.12/198.40 [6694]P24(f337(f337(f92(a1),x66941),x66942))+~P24(f337(f337(f92(a1),f337(f106(a1),x66941)),f337(f106(a1),x66942)))
% 198.12/198.40 [6787]~E(f732(x67872,x67871),f116(x67871))+E(f337(f144(f885(x67871),f885(x67871),f136(x67871),f116(x67871)),x67872),f116(x67871))
% 198.12/198.40 [6788]~E(f733(x67882,x67881),f116(x67881))+E(f337(f144(f885(x67881),f885(x67881),f136(x67881),f116(x67881)),x67882),f116(x67881))
% 198.12/198.40 [6795]~P28(x67951)+E(f337(f144(x67951,x67951,f104(x67951),f260(x67951)),x67952),f41(x67951,f337(f175(x67951),x67952)))
% 198.12/198.40 [6796]~P28(x67961)+E(f337(f144(x67961,x67961,f113(x67961),f197(x67961)),x67962),f40(x67961,f337(f175(x67961),x67962)))
% 198.12/198.40 [6808]E(x68081,f2(a102))+E(f337(f337(f81(a884),f337(a19,f337(f337(f22(a102),x68081),f79(a102)))),f337(a115,x68082)),f337(f337(f81(a884),f337(a19,x68081)),x68082))
% 198.12/198.40 [6858]P24(f337(f337(f252(a1),f337(f337(f22(a1),x68581),x68582)),f2(a1)))+~P24(f337(f337(f252(a1),x68581),x68582))
% 198.12/198.40 [6886]~P105(x68861)+E(f337(f337(f113(f893(x68861,a878)),f337(f337(f315(x68861),x68862),f197(f893(x68861,a878)))),f337(f309(x68861),x68862)),f337(f259(x68861),x68862))
% 198.12/198.40 [6961]~P56(x69611,x69612)+P39(x69611,f337(f257(f892(x69611,x69611)),f337(f276(x69611,x69611,a878),x69612)))
% 198.12/198.40 [6962]~P56(x69621,x69622)+P54(x69621,f337(f257(f892(x69621,x69621)),f337(f276(x69621,x69621,a878),x69622)))
% 198.12/198.40 [6963]E(x69631,f197(f893(x69632,a878)))+~P24(f337(f337(f251(f893(x69632,a878)),x69631),f197(f893(x69632,a878))))
% 198.12/198.40 [7044]~P24(f337(f337(f252(a884),f2(a884)),x70442))+P24(f337(f337(f251(a884),f45(a884,x70441,x70442)),x70442))
% 198.12/198.40 [7045]~P24(f337(f337(f251(a1),f2(a1)),x70451))+P24(f337(f337(f251(a1),f45(a1,x70451,x70452)),x70451))
% 198.12/198.40 [7046]~P24(f337(f337(f252(a884),f2(a884)),x70462))+P24(f337(f337(f252(a884),f45(a884,x70461,x70462)),x70462))
% 198.12/198.40 [7048]~P24(f337(f337(f252(a1),f2(a1)),x70482))+P24(f337(f337(f252(a1),f45(a1,x70481,x70482)),x70482))
% 198.12/198.40 [7126]~P106(x71261)+E(f337(f337(f22(f893(x71261,a878)),f337(f337(f315(x71261),x71262),f197(f893(x71261,a878)))),f337(f258(x71261),x71262)),f337(f337(f315(x71261),x71262),f197(f893(x71261,a878))))
% 198.12/198.40 [7199]~P50(x71991,x71992)+P41(x71991,f260(f893(x71991,a878)),f337(f257(f892(x71991,x71991)),f337(f276(x71991,x71991,a878),x71992)))
% 198.12/198.40 [7200]P24(f337(x72001,x72002))+P24(f337(f337(f339(f893(f892(a884,a884),a878)),f547(x72002,x72001)),a101))
% 198.12/198.40 [7246]E(f337(f337(f136(a884),f141(a884,f337(f307(a884,x72461),x72462))),f337(f337(f153(a884),x72462),f116(a884))),f141(a884,f337(f307(a884,x72461),f337(a115,x72462))))+~P24(f337(f337(f251(a884),x72461),x72462))
% 198.12/198.40 [7390]E(x73901,f2(a884))+~E(f337(f144(a884,a884,f81(a884),x73901),x73902),f2(a884))
% 198.12/198.40 [7415]~P24(f337(f337(f252(a1),f337(f337(f22(a1),x74151),x74152)),f2(a1)))+P24(f337(f337(f252(a1),x74151),x74152))
% 198.12/198.40 [7444]P39(x74441,x74442)+~P39(x74441,f337(f337(f294(x74441,x74441,x74441),x74442),x74442))
% 198.12/198.40 [7474]~P24(f337(f337(f251(a884),f337(a115,x74741)),x74742))+P24(f194(a878,a255,f337(f251(a884),x74741),x74742))
% 198.12/198.40 [7633]P21(a884,a884,f337(f337(f7(a884,a884,a884),f22(a884)),x76331),x76332)+P24(f337(f337(f339(a884),f559(x76331,x76332)),x76332))
% 198.12/198.40 [7689]E(f337(f337(f337(f66(a884,x76891,f81(a884)),f337(f16(a884,x76891),f79(a884))),f2(a884)),x76892),f337(f38(x76891),x76892))+~P24(f337(f62(x76891),x76892))
% 198.12/198.40 [7731]P21(a884,a884,f337(f337(f7(a884,a884,a884),f22(a884)),x77311),x77312)+~P24(f337(f337(f251(a884),x77311),f559(x77311,x77312)))
% 198.12/198.40 [7789]P39(x77891,x77892)+P24(f337(f337(f251(f893(x77891,a878)),f555(x77892,x77891)),f337(f291(x77891,x77891,x77892),f555(x77892,x77891))))
% 198.12/198.40 [7794]P56(x77941,x77942)+~P39(x77941,f337(f257(f892(x77941,x77941)),f337(f276(x77941,x77941,a878),x77942)))
% 198.12/198.40 [7862]P24(f337(f337(f251(a884),f337(a115,x78621)),x78622))+~P24(f194(a878,a255,f337(f251(a884),x78621),x78622))
% 198.12/198.40 [7917]P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),x79171),x79172)),f313(a884,a327)))+~P24(f337(f337(f251(a884),x79171),x79172))
% 198.12/198.40 [8014]P50(x80141,x80142)+~P41(x80141,f260(f893(x80141,a878)),f337(f257(f892(x80141,x80141)),f337(f276(x80141,x80141,a878),x80142)))
% 198.12/198.40 [8069]~P24(f337(f139(x80691),x80692))+P24(f337(f139(f893(x80691,a878)),f337(f337(f156(f885(x80691),f893(x80691,a878)),f175(x80691)),f54(x80691,x80692))))
% 198.12/198.40 [8270]~P39(x82701,f337(f292(x82701,x82701),x82702))+P39(x82701,f337(f292(x82701,x82701),f337(f337(f294(x82701,x82701,x82701),x82702),f313(x82701,x82702))))
% 198.12/198.40 [8390]P24(f337(f62(f892(x83901,x83901)),f337(f337(f294(x83901,x83901,x83901),x83902),f313(x83901,x83902))))+~P24(f337(f62(f892(x83901,x83901)),x83902))
% 198.12/198.40 [8421]E(x84211,f2(a1))+P24(f337(f49(x84212,x84211),f337(f337(f272(a1,a1),f337(f337(f39(a1),x84212),x84211)),f45(a1,x84212,x84211))))
% 198.12/198.40 [8432]~P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),x84321),x84322)),f313(a884,a327)))+P24(f337(f337(f251(a884),x84321),x84322))
% 198.12/198.40 [8447]~P81(x84471)+E(f337(f144(x84471,x84471,f337(f7(x84471,x84471,x84471),f81(x84471)),f2(x84471)),f337(f171(x84471),x84472)),f337(f144(x84471,x84471,f81(x84471),f2(x84471)),x84472))
% 198.12/198.40 [8613]~P105(x86131)+E(f337(f144(f885(x86131),x86131,f337(f7(x86131,f885(x86131),f885(x86131)),f150(x86131,x86131,f5(x86131))),f116(x86131)),x86132),f152(x86131,x86131,f5(x86131),x86132))
% 198.12/198.40 [8714]~P54(x87141,f337(f257(f892(x87141,x87141)),f337(f276(x87141,x87141,a878),x87142)))+P54(x87141,f337(f257(f892(x87141,x87141)),f337(f276(x87141,x87141,a878),f261(x87141,x87141,x87142))))
% 198.12/198.40 [8728]P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),x87281),x87282)),f337(f337(f294(a884,a884,a884),a327),f313(a884,a327))))+~P24(f337(f337(f252(a884),x87281),x87282))
% 198.12/198.40 [8771]~P24(f337(f62(f892(x87711,x87711)),f337(f337(f294(x87711,x87711,x87711),x87712),f313(x87711,x87712))))+P24(f337(f62(f892(x87711,x87711)),x87712))
% 198.12/198.40 [8822]~P54(x88221,f337(f257(f892(x88221,x88221)),f337(f276(x88221,x88221,a878),f261(x88221,x88221,x88222))))+P54(x88221,f337(f257(f892(x88221,x88221)),f337(f276(x88221,x88221,a878),x88222)))
% 198.12/198.40 [9016]P54(x90161,x90162)+P24(f337(f337(f339(f892(x90161,x90161)),f337(f337(f272(x90161,x90161),f587(x90162,x90161)),f587(x90162,x90161))),f337(f337(f294(x90161,x90161,x90161),x90162),f313(x90161,x90162))))
% 198.12/198.40 [9017]P54(x90171,x90172)+P24(f337(f337(f339(f892(x90171,x90171)),f337(f337(f272(x90171,x90171),f594(x90172,x90171)),f594(x90172,x90171))),f337(f337(f294(x90171,x90171,x90171),x90172),f313(x90171,x90172))))
% 198.12/198.40 [9132]~P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),x91321),x91322)),f337(f337(f294(a884,a884,a884),a327),f313(a884,a327))))+P24(f337(f337(f252(a884),x91321),x91322))
% 198.12/198.40 [5125]~P93(x51251)+E(f337(f337(f81(x51251),f337(f106(x51251),a84)),x51252),x51252)
% 198.12/198.40 [5154]~P86(x51541)+E(f337(f337(f113(x51541),f337(f80(x51541),x51542)),x51542),f260(x51541))
% 198.12/198.40 [5155]~P86(x51551)+E(f337(f337(f104(x51551),f337(f80(x51551),x51552)),x51552),f197(x51551))
% 198.12/198.40 [5156]~P67(x51561)+E(f337(f337(f81(x51561),f337(f80(x51561),x51562)),x51562),f2(x51561))
% 198.12/198.40 [5157]~P75(x51571)+E(f337(f337(f81(x51571),f337(f80(x51571),x51572)),x51572),f2(x51571))
% 198.12/198.40 [5189]~P93(x51891)+E(f337(f337(f82(x51891),f337(f106(x51891),a100)),x51892),f337(f80(x51891),x51892))
% 198.12/198.40 [5361]~P112(x53611)+E(f337(f337(f82(x53611),f337(f80(x53611),f79(x53611))),x53612),f337(f80(x53611),x53612))
% 198.12/198.40 [5404]E(f337(f76(a1),x54041),f79(a1))+~E(f337(f76(a1),f337(f337(f82(a1),x54041),x54042)),f79(a1))
% 198.12/198.40 [5496]~P93(x54961)+E(f337(f337(f81(x54961),f79(x54961)),f337(f106(x54961),x54962)),f337(f106(x54961),f337(f337(f22(a1),x54962),a100)))
% 198.12/198.40 [5549]~P64(x55491)+E(f13(x55491,f337(f337(f315(x55491),x55492),f197(f893(x55491,a878)))),x55492)
% 198.12/198.40 [5550]~P64(x55501)+E(f10(x55501,f337(f337(f315(x55501),x55502),f197(f893(x55501,a878)))),x55502)
% 198.12/198.40 [5551]~P105(x55511)+E(f14(x55511,f337(f337(f315(x55511),x55512),f197(f893(x55511,a878)))),x55512)
% 198.12/198.40 [5552]~P105(x55521)+E(f15(x55521,f337(f337(f315(x55521),x55522),f197(f893(x55521,a878)))),x55522)
% 198.12/198.40 [5553]~P28(x55531)+E(f41(x55531,f337(f337(f315(x55531),x55532),f197(f893(x55531,a878)))),x55532)
% 198.12/198.40 [5554]~P28(x55541)+E(f40(x55541,f337(f337(f315(x55541),x55542),f197(f893(x55541,a878)))),x55542)
% 198.12/198.40 [5576]E(f337(f337(f81(a884),x55761),f337(f337(f22(a884),x55762),x55761)),x55762)+P24(f337(f337(f252(a884),x55762),x55761))
% 198.12/198.40 [5608]E(x56081,f116(x56082))+P24(f337(f337(f252(a884),f2(a884)),f337(f198(f885(x56082)),x56081)))
% 198.12/198.40 [5733]~P105(x57331)+E(f11(x57331,f250(x57331),f337(f337(f315(x57331),x57332),f197(f893(x57331,a878)))),x57332)
% 198.12/198.40 [5734]~P105(x57341)+E(f12(x57341,f249(x57341),f337(f337(f315(x57341),x57342),f197(f893(x57341,a878)))),x57342)
% 198.12/198.40 [5797]E(f337(f337(f22(a884),x57971),f337(f337(f22(a884),x57971),x57972)),x57972)+~P24(f337(f337(f251(a884),x57972),x57971))
% 198.12/198.40 [5798]E(f337(f337(f81(a884),x57981),f337(f337(f22(a884),x57982),x57981)),x57982)+~P24(f337(f337(f251(a884),x57981),x57982))
% 198.12/198.40 [5819]E(f45(a884,f337(f337(f22(a884),x58191),x58192),x58192),f45(a884,x58191,x58192))+P24(f337(f337(f252(a884),x58191),x58192))
% 198.12/198.40 [5830]E(f337(f80(a1),f337(f337(f39(a1),x58301),f337(f80(a1),x58302))),f297(x58301,x58302))+P24(f337(f337(f251(a1),f2(a1)),x58302))
% 198.12/198.40 [5832]~E(x58322,f2(a884))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f262(a884),x58321),x58322)))
% 198.12/198.40 [5884]~P93(x58841)+E(f337(f337(f81(x58841),f337(f80(x58841),f79(x58841))),f337(f106(x58841),x58842)),f337(f106(x58841),f337(f337(f81(a1),x58842),a100)))
% 198.12/198.40 [5885]E(f337(f337(f262(a884),f337(f106(a884),x58851)),x58852),f337(f337(f262(a884),f2(a884)),x58852))+~P24(f337(a202,f337(f106(a1),x58851)))
% 198.12/198.40 [5983]E(f337(f143(a884),f141(a884,f337(f307(a884,x59831),x59832))),x59831)+~P24(f337(f337(f252(a884),x59831),x59832))
% 198.12/198.40 [6002]E(f337(f337(f82(a884),f337(f106(a884),x60021)),f337(f106(a884),x60022)),f337(f106(a884),f337(f337(f82(a1),x60021),x60022)))+P24(f337(f337(f252(a1),x60021),a84))
% 198.12/198.40 [6008]~P123(x60081)+P24(f337(f337(f251(x60081),f2(x60081)),f337(f337(f82(x60081),x60082),x60082)))
% 198.12/198.40 [6020]E(f337(f337(f22(a884),f337(a115,x60201)),x60202),f337(a115,f337(f337(f22(a884),x60201),x60202)))+~P24(f337(f337(f251(a884),x60202),x60201))
% 198.12/198.40 [6023]E(f45(a884,f337(f337(f22(a884),x60231),x60232),x60232),f45(a884,x60231,x60232))+~P24(f337(f337(f251(a884),x60232),x60231))
% 198.12/198.40 [6074]E(f337(f337(f262(a884),f337(a107,x60741)),x60742),f337(a107,f337(f337(f262(a1),x60741),x60742)))+~P24(f337(f337(f251(a1),f2(a1)),x60741))
% 198.12/198.40 [6090]P24(f337(f139(x60901),x60902))+P24(f337(f337(f252(a884),f682(x60902,x60901)),f337(f198(f885(x60901)),x60902)))
% 198.12/198.40 [6091]P24(f337(f139(x60911),x60912))+P24(f337(f337(f252(a884),f687(x60912,x60911)),f337(f198(f885(x60911)),x60912)))
% 198.12/198.40 [6106]~E(x61061,f116(x61062))+~P24(f337(f337(f252(a884),f2(a884)),f337(f198(f885(x61062)),x61061)))
% 198.12/198.40 [6120]E(f146(a884,f141(a884,f337(f307(a884,x61201),x61202))),f337(f337(f22(a884),x61202),f79(a884)))+~P24(f337(f337(f252(a884),x61201),x61202))
% 198.12/198.40 [6123]E(f337(f337(f81(a1),x61231),f337(f103(a1),f337(a115,f368(x61232,x61231)))),x61232)+~P24(f337(f337(f252(a1),x61231),x61232))
% 198.12/198.40 [6130]E(x61301,f2(a884))+E(f337(f337(f82(a884),x61302),f337(f337(f262(a884),x61302),f337(f337(f22(a884),x61301),f79(a884)))),f337(f337(f262(a884),x61302),x61301))
% 198.12/198.40 [6156]E(f337(f337(f82(a884),f337(a107,x61561)),f337(a107,x61562)),f337(a107,f337(f337(f82(a1),x61561),x61562)))+~P24(f337(f337(f251(a1),f2(a1)),x61561))
% 198.12/198.40 [6157]E(f337(f337(f39(a884),f337(a107,x61571)),f337(a107,x61572)),f337(a107,f337(f337(f39(a1),x61571),x61572)))+~P24(f337(f337(f251(a1),f2(a1)),x61571))
% 198.12/198.40 [6171]~P110(x61711)+E(f337(f337(f81(x61711),x61712),x61712),f337(f337(f82(x61711),f337(f337(f81(x61711),f79(x61711)),f79(x61711))),x61712))
% 198.12/198.40 [6190]E(f337(f337(f22(a1),f337(f103(a1),x61901)),f337(f103(a1),x61902)),f337(f103(a1),f337(f337(f22(a884),x61901),x61902)))+~P24(f337(f337(f251(a884),x61902),x61901))
% 198.12/198.40 [6192]E(f337(f337(f272(a1,a1),f337(f106(a1),a100)),f337(f337(f81(a1),x61921),x61922)),f50(x61921,x61922))+~P24(f337(f337(f251(a1),x61922),f2(a1)))
% 198.12/198.40 [6232]E(f183(x62321,x62322),f116(f885(x62321)))+P24(f337(f337(f339(f885(x62321)),f681(x62322,x62321)),f337(f175(f885(x62321)),x62322)))
% 198.12/198.40 [6241]E(f119(a1,f337(f129(a1),x62411),f128(x62412,f337(f337(f81(a1),x62411),f79(a1)))),f128(x62412,x62411))+P24(f337(f337(f252(a1),x62412),x62411))
% 198.12/198.40 [6317]E(f337(f337(f153(a1),x63171),f182(f337(f337(f81(a1),x63171),f79(a1)),x63172)),f182(x63171,x63172))+~P24(f337(f337(f251(a1),x63171),x63172))
% 198.12/198.40 [6353]~P24(f337(f337(f252(a884),x63532),x63531))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f22(a884),x63531),x63532)))
% 198.12/198.40 [6384]~P24(f337(f337(f252(a884),x63841),f337(a107,x63842)))+P24(f337(f337(f252(a1),f337(f103(a1),x63841)),x63842))
% 198.12/198.40 [6413]~P105(x64131)+E(f337(f337(f113(f893(x64131,a878)),f337(f258(x64131),x64132)),f337(f337(f315(x64131),x64132),f197(f893(x64131,a878)))),f337(f306(x64131),x64132))
% 198.12/198.40 [6414]~P24(f337(f337(f251(a1),f2(a1)),x64141))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f262(a1),x64141),x64142)))
% 198.12/198.40 [6417]~P24(f337(f337(f252(a884),f2(a884)),x64171))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f262(a884),x64171),x64172)))
% 198.12/198.40 [6445]~E(f337(x64451,f2(a884)),f2(a884))+E(f337(f337(f6(a884,a884),x64451),f308(a884,f337(a115,f2(a884)),x64452)),f337(f337(f6(a884,a884),x64451),f308(a884,f2(a884),x64452)))
% 198.12/198.40 [6509]~P93(x65091)+E(f337(f337(f82(x65091),f337(f337(f81(x65091),f79(x65091)),f79(x65091))),f337(f106(x65091),x65092)),f337(f106(x65091),f337(f337(f81(a1),x65092),x65092)))
% 198.12/198.40 [6525]E(f337(f337(f315(a1),x65251),f308(a1,f337(f337(f81(a1),x65251),f79(a1)),x65252)),f308(a1,x65251,x65252))+P24(f337(f337(f252(a1),x65252),x65251))
% 198.12/198.40 [6526]P24(f337(f337(f252(a884),x65261),f337(a107,x65262)))+~P24(f337(f337(f252(a1),f337(f103(a1),x65261)),x65262))
% 198.12/198.40 [6629]E(f337(a107,f337(f337(f39(a1),f337(f106(a1),x66291)),f337(f106(a1),x66292))),f337(f337(f39(a884),f337(f106(a884),x66291)),f337(f106(a884),x66292)))+P24(f337(a202,f337(f106(a1),x66291)))
% 198.12/198.40 [6686]P24(f337(f337(f252(a884),x66861),x66862))+~P24(f337(f337(f252(a884),f2(a884)),f337(f337(f22(a884),x66862),x66861)))
% 198.12/198.40 [6730]P24(f337(f337(f252(a884),f2(a884)),x67301))+~P24(f337(f337(f252(a884),f2(a884)),f337(f337(f82(a884),x67302),x67301)))
% 198.12/198.40 [6731]P24(f337(f337(f252(a884),f2(a884)),x67311))+~P24(f337(f337(f252(a884),f2(a884)),f337(f337(f82(a884),x67311),x67312)))
% 198.12/198.40 [6748]~P24(f337(f337(f251(a1),x67481),f2(a1)))+E(f337(f337(f82(a884),f337(a107,f337(f80(a1),x67481))),f337(a107,f337(f80(a1),x67482))),f337(a107,f337(f337(f82(a1),x67481),x67482)))
% 198.12/198.40 [6806]~E(x68062,f197(f893(x68061,a878)))+P24(f337(f337(f251(f893(x68061,a878)),x68062),f337(f80(f893(x68061,a878)),x68062)))
% 198.12/198.40 [6869]~P93(x68691)+E(f337(f337(f81(x68691),f337(f337(f81(x68691),f2(x68691)),f337(f106(x68691),x68692))),f337(f106(x68691),x68692)),f337(f106(x68691),f337(f337(f81(a1),x68692),x68692)))
% 198.12/198.40 [6926]~P24(f337(f337(f252(a1),x69261),x69262))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x69261),f79(a1))),x69262))
% 198.12/198.40 [6991]E(x69911,f2(a884))+~P24(f337(f337(f251(a1),f337(f103(a1),x69912)),f337(f80(a1),f337(f103(a1),x69911))))
% 198.12/198.40 [6992]E(x69921,f2(a884))+~P24(f337(f337(f251(a1),f337(f103(a1),x69921)),f337(f80(a1),f337(f103(a1),x69922))))
% 198.12/198.40 [7096]E(f337(f337(f272(a1,a1),f337(f106(a1),a100)),f337(f337(f81(a1),x70961),x70962)),f50(x70961,x70962))+~P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),x70961),x70962)))
% 198.12/198.40 [7139]~P22(x71391,x71392)+P39(x71391,f337(f271(f893(f892(x71391,x71391),a878),f893(f892(x71391,x71391),a878)),x71392))
% 198.12/198.40 [7157]~P24(f337(f337(f251(a884),f337(a115,f2(a884))),x71571))+P24(f337(f337(f251(a884),f337(a115,f2(a884))),f337(f337(f262(a884),x71571),x71572)))
% 198.12/198.40 [7331]~P24(f337(f337(f251(a1),x73311),x73312))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x73311),x73311)),f337(f337(f81(a1),x73312),x73312)))
% 198.12/198.40 [7336]~P24(f337(f337(f252(a1),x73361),x73362))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x73361),x73361)),f337(f337(f81(a1),x73362),x73362)))
% 198.12/198.40 [7337]~P24(f337(f337(f92(a1),x73371),x73372))+P24(f337(f337(f92(a1),f337(f337(f81(a1),x73371),x73371)),f337(f337(f81(a1),x73372),x73372)))
% 198.12/198.40 [7392]~P24(f337(f337(f252(a884),f2(a884)),x73921))+P24(f337(f337(f252(a884),f337(f337(f22(a884),x73921),f337(a115,x73922))),x73921))
% 198.12/198.40 [7426]P24(f337(f337(f251(a884),f337(a115,f2(a884))),x74261))+~P24(f337(f337(f251(a884),f337(a115,f2(a884))),f337(f337(f82(a884),x74262),x74261)))
% 198.12/198.40 [7427]P24(f337(f337(f251(a884),f337(a115,f2(a884))),x74271))+~P24(f337(f337(f251(a884),f337(a115,f2(a884))),f337(f337(f82(a884),x74271),x74272)))
% 198.12/198.40 [7431]P24(f337(f337(f251(a884),f337(f337(f167(a884),x74311),x74312)),f337(f168(a884),x74311)))+~P24(f337(f337(f252(a884),x74312),f337(f198(f885(a884)),x74311)))
% 198.12/198.40 [7473]P24(f337(f337(f252(a1),x74731),x74732))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),x74731),f79(a1))),x74732))
% 198.12/198.40 [7517]P24(f337(f62(x75171),f260(f893(x75171,a878))))+~P24(f337(f62(f893(x75172,x75171)),f260(f893(f893(x75172,x75171),a878))))
% 198.12/198.40 [7518]P24(f337(f62(x75181),f260(f893(x75181,a878))))+~P24(f337(f62(f891(x75182,x75181)),f260(f893(f891(x75182,x75181),a878))))
% 198.12/198.40 [7519]P24(f337(f62(x75191),f260(f893(x75191,a878))))+~P24(f337(f62(f891(x75191,x75192)),f260(f893(f891(x75191,x75192),a878))))
% 198.12/198.40 [7561]E(x75611,f197(f893(x75612,a878)))+~P24(f337(f337(f251(f893(x75612,a878)),x75611),f337(f80(f893(x75612,a878)),x75611)))
% 198.12/198.40 [7699]E(f337(f144(f885(x76991),f885(x76991),f136(x76991),f116(x76991)),x76992),f116(x76991))+P24(f337(f337(f339(f885(x76991)),f732(x76992,x76991)),f337(f175(f885(x76991)),x76992)))
% 198.12/198.40 [7700]E(f337(f144(f885(x77001),f885(x77001),f136(x77001),f116(x77001)),x77002),f116(x77001))+P24(f337(f337(f339(f885(x77001)),f733(x77002,x77001)),f337(f175(f885(x77001)),x77002)))
% 198.12/198.40 [7934]P24(f337(f337(f251(a1),x79341),x79342))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),x79341),x79341)),f337(f337(f81(a1),x79342),x79342)))
% 198.12/198.40 [7939]P24(f337(f337(f252(a1),x79391),x79392))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),x79391),x79391)),f337(f337(f81(a1),x79392),x79392)))
% 198.12/198.40 [7940]P24(f337(f337(f92(a1),x79401),x79402))+~P24(f337(f337(f92(a1),f337(f337(f81(a1),x79401),x79401)),f337(f337(f81(a1),x79402),x79402)))
% 198.12/198.40 [8034]~P110(x80341)+E(f337(f337(f82(x80341),f337(f337(f81(x80341),f79(x80341)),f79(x80341))),f337(f337(f6(a884,x80341),f103(x80341)),f308(a884,f79(a884),x80342))),f337(f337(f82(x80341),f337(f103(x80341),x80342)),f337(f337(f81(x80341),f337(f103(x80341),x80342)),f79(x80341))))
% 198.12/198.40 [8083]P24(f337(f337(f339(a884),x80831),x80832))+~P24(f337(f337(f339(a1),f337(f103(a1),x80831)),f337(f316(a884,a1,f103(a1)),x80832)))
% 198.12/198.40 [8241]~P24(f337(f62(x82411),x82412))+E(f337(f316(a884,x82411,f426(x82412,x82411)),f337(f257(a884),f337(f337(f7(a884,a884,a878),f252(a884)),f427(x82412,x82411)))),x82412)
% 198.12/198.40 [8518]P43(x85181,x85182)+P24(f337(f337(f339(f892(x85181,x85181)),f337(f337(f272(x85181,x85181),f486(x85182,x85181)),f486(x85182,x85181))),x85182))
% 198.12/198.40 [8654]~P93(x86541)+E(f337(f337(f22(x86541),f79(x86541)),f337(f106(x86541),x86542)),f337(f106(x86541),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f80(a1),x86542))))
% 198.12/198.40 [8768]~P24(f337(f337(f252(f893(a884,a878)),x87681),x87682))+P24(f337(f337(f252(f893(a1,a878)),f337(f316(a884,a1,f103(a1)),x87681)),f337(f316(a884,a1,f103(a1)),x87682)))
% 198.12/198.40 [8796]~P24(f337(f337(f252(a1),x87961),x87962))+P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87961),x87961)),a100)),f337(f337(f81(a1),x87962),x87962)))
% 198.12/198.40 [8798]~P24(f337(f337(f252(a1),x87981),x87982))+P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x87981),x87981)),a100)),f337(f337(f81(a1),x87982),x87982)))
% 198.12/198.40 [8868]~P24(f337(f337(f339(a884),x88681),f337(f175(a884),x88682)))+P24(f337(f337(f251(a884),x88681),f337(f144(a884,a884,f81(a884),f2(a884)),x88682)))
% 198.12/198.40 [8961]P47(x89611,x89612)+~P24(f337(f337(f339(f892(x89611,x89611)),f337(f337(f272(x89611,x89611),f482(x89612,x89611)),f482(x89612,x89611))),x89612))
% 198.12/198.40 [9032]P20(a879,x90321,f337(f337(f315(f882(a879)),f337(a94,f337(a28,x90322))),f197(f893(f882(a879),a878))))+~P20(a879,f337(f337(f315(f882(a879)),f337(a94,f337(a28,x90322))),x90321),f337(f337(f315(f882(a879)),f337(a94,f337(f248(a880),f337(a26,x90322)))),f197(f893(f882(a879),a878))))
% 198.12/198.40 [9098]~P24(f337(f337(f251(f893(a1,a878)),f337(f316(a884,a1,f103(a1)),x90981)),f337(f316(a884,a1,f103(a1)),x90982)))+P24(f337(f337(f251(f893(a884,a878)),x90981),x90982))
% 198.12/198.40 [9099]~P24(f337(f337(f252(f893(a1,a878)),f337(f316(a884,a1,f103(a1)),x90991)),f337(f316(a884,a1,f103(a1)),x90992)))+P24(f337(f337(f252(f893(a884,a878)),x90991),x90992))
% 198.12/198.40 [9181]P24(f337(f337(f252(a1),x91811),x91812))+~P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91811),x91811)),a100)),f337(f337(f81(a1),x91812),x91812)))
% 198.12/198.40 [9183]P24(f337(f337(f252(a1),x91831),x91832))+~P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x91831),x91831)),a100)),f337(f337(f81(a1),x91832),x91832)))
% 198.12/198.40 [10055]~P103(x100551)+E(f119(f885(x100551),f337(f129(f885(x100551)),f116(x100551)),f337(f337(f337(f99(f886(f885(x100551))),f337(f337(f252(a1),f2(a1)),x100552)),f337(f121(f892(x100551,f885(x100551)),f885(x100551),f133(x100551,f885(x100551),f134(x100551,f337(f337(f22(a1),x100552),f79(a1))),f134(f885(x100551),f337(f337(f22(a1),x100552),f79(a1))))),f337(f276(x100551,f885(x100551),f886(f885(x100551))),f337(f337(f8(f893(f885(x100551),f885(x100551)),f893(f885(x100551),f886(f885(x100551))),x100551),f337(f8(f885(x100551),f886(f885(x100551)),f885(x100551)),f129(f885(x100551)))),f153(x100551))))),f118(f885(x100551)))),f134(f885(x100551),x100552))
% 198.12/198.40 [10076]~P24(f337(f62(x100761),x100762))+E(f337(f198(f885(x100761)),f91(f885(x100761),f337(f337(f18(f885(x100761),a878,a878),f337(f337(f8(a878,f893(a878,a878),f885(x100761)),a335),f337(f337(f7(f885(x100761),f893(x100761,a878),a878),f337(f337(f8(f893(x100761,a878),f893(f893(x100761,a878),a878),f885(x100761)),a334),f175(x100761))),x100762))),f139(x100761)))),f227(x100761,x100762))
% 198.12/198.40 [6119]E(f337(f337(f81(a884),f337(f337(f22(a884),x61191),x61192)),x61192),x61191)+~P24(f337(f337(f251(a884),x61192),x61191))
% 198.12/198.40 [6186]E(f337(f337(f39(a884),f337(f337(f82(a884),x61861),x61862)),x61862),x61861)+~P24(f337(f337(f252(a884),f2(a884)),x61862))
% 198.12/198.40 [6187]E(f337(f337(f39(a884),f337(f337(f82(a884),x61871),x61872)),x61871),x61872)+~P24(f337(f337(f252(a884),f2(a884)),x61871))
% 198.12/198.40 [6191]~P70(x61911)+E(f337(f337(f6(a884,x61911),f337(f167(x61911),x61912)),f337(f307(a884,f2(a884)),f337(f198(f885(x61911)),x61912))),f337(f168(x61911),x61912))
% 198.12/198.40 [6309]E(f45(a884,f337(a115,f337(f337(f82(a884),x63091),x63092)),x63091),f79(a884))+~P24(f337(f337(f252(a884),f79(a884)),x63091))
% 198.12/198.40 [6315]E(f337(a115,f337(f337(f81(a884),f337(f106(a884),x63151)),x63152)),f337(f337(f81(a884),f79(a884)),x63152))+~P24(f337(a202,f337(f106(a1),x63151)))
% 198.12/198.40 [6342]E(f337(a107,f337(f337(f262(a1),f337(f106(a1),x63421)),x63422)),f337(f337(f262(a884),f337(f106(a884),x63421)),x63422))+P24(f337(a202,f337(f106(a1),x63421)))
% 198.12/198.40 [6581]E(f337(f337(f22(a884),x65811),f337(f106(a884),f337(f337(f81(a1),x65812),a100))),f337(f337(f22(a884),f337(a115,x65811)),f337(f106(a884),x65812)))+~P24(f337(f337(f252(a1),a84),x65812))
% 198.12/198.40 [6660]E(x66601,f2(a884))+E(f337(a115,f337(f337(f81(a884),f337(f337(f22(a884),x66601),f79(a884))),x66602)),f337(f337(f81(a884),x66601),x66602))
% 198.12/198.40 [6700]E(x67001,f2(a1))+P24(f337(f337(f252(a1),f2(a1)),f337(f337(f262(a1),f337(f76(a1),x67001)),x67002)))
% 198.12/198.40 [6715]~E(x67152,f2(a884))+P24(f337(f337(f252(a1),f2(a1)),f337(f337(f262(a1),f337(f76(a1),x67151)),x67152)))
% 198.12/198.40 [6752]E(x67521,f2(a884))+E(f337(f337(f81(a884),x67522),f337(f337(f82(a884),f337(f337(f22(a884),x67521),f79(a884))),x67522)),f337(f337(f82(a884),x67521),x67522))
% 198.12/198.40 [6800]~P24(f337(f337(f251(a1),x68001),x68002))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x68001),a100)),x68002))
% 198.12/198.40 [6929]E(f337(f337(f153(a884),x69291),f141(a884,f337(f307(a884,f337(a115,x69291)),x69292))),f141(a884,f337(f307(a884,x69291),x69292)))+~P24(f337(f337(f252(a884),x69291),x69292))
% 198.12/198.40 [7130]E(x71301,x71302)+~E(f337(f337(f22(a1),f337(f337(f81(a1),x71301),x71301)),a100),f337(f337(f22(a1),f337(f337(f81(a1),x71302),x71302)),a100))
% 198.12/198.40 [7133]E(x71331,f116(x71332))+E(f281(x71332,f337(f337(f156(x71332,f892(a102,x71332)),f337(f272(a102,x71332),f79(a102))),x71331)),f288(x71332,x71331))
% 198.12/198.40 [7361]P24(f337(f337(f251(a1),x73611),x73612))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),x73611),a100)),x73612))
% 198.12/198.40 [7842]~P24(f337(f337(f252(a884),x78421),x78422))+P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),x78421),x78422)),a256))
% 198.12/198.40 [8060]~P24(f337(f337(f252(a102),f2(a102)),x80601))+P24(f337(f337(f252(a102),f337(f271(a102,f892(a102,a102)),f337(f282(x80601),x80602))),x80601))
% 198.12/198.40 [8368]~P85(x83681)+P24(f337(f337(f251(x83681),f337(f76(x83681),f337(f168(x83681),x83682))),f337(f168(x83681),f337(f337(f156(x83681,x83681),f76(x83681)),x83682))))
% 198.12/198.40 [8392]P24(f337(f337(f252(a884),x83921),x83922))+~P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),x83921),x83922)),a256))
% 198.12/198.40 [8538]E(f337(f337(f272(x85381,x85381),f609(x85382,x85381)),f609(x85382,x85381)),x85382)+~P24(f337(f337(f339(f892(x85381,x85381)),x85382),f313(x85381,f197(f893(f892(x85381,x85381),a878)))))
% 198.12/198.40 [8579]E(f337(f307(a884,x85791),f337(f337(f81(a884),x85791),f337(f38(a884),x85792))),x85792)+~P24(f337(f337(f251(f893(a884,a878)),x85792),f337(f307(a884,x85791),f337(f337(f81(a884),x85791),f337(f38(a884),x85792)))))
% 198.12/198.40 [8907]E(f337(f337(f39(a1),f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),x89071),x89071)),a100))),f337(f106(a1),f337(f337(f81(a1),x89072),x89072))),f337(f337(f39(a1),f337(f106(a1),x89071)),f337(f106(a1),x89072)))+~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x89072)))
% 198.12/198.40 [9027]E(f180(f885(x90271),f337(f337(f8(a878,a878,f885(x90271)),a332),f337(f337(f7(f885(x90271),f885(x90271),a878),a334),f116(x90271))),x90272),f183(x90271,f183(x90271,x90272)))+~P30(a884,f337(f171(a884),f337(f337(f156(f885(x90271),a884),f198(f885(x90271))),x90272)))
% 198.12/198.40 [9030]E(f337(f337(f39(a1),f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),x90301),x90301)),a100))),f337(f106(a1),f337(f337(f81(a1),x90302),x90302))),f337(f337(f39(a1),f337(f337(f81(a1),f337(f106(a1),x90301)),f79(a1))),f337(f106(a1),x90302)))+P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x90302)))
% 198.12/198.40 [9854]P24(f337(a202,x98542))+E(f337(f337(f87(a1,a884),f337(f337(f22(a1),x98541),x98542)),f337(f337(f18(a1,a884,a884),f337(f337(f7(a1,a884,f893(a884,a884)),f337(f337(f8(a878,f893(a884,f893(a884,a884)),a1),f99(a884)),a202)),f2(a884))),a107)),f337(f337(f22(a884),f337(a107,x98541)),f337(a107,x98542)))
% 198.12/198.40 [9862]E(f337(f337(f87(a1,a884),f337(f106(a1),f337(f337(f81(a1),x98621),f337(f80(a1),x98622)))),f337(f337(f18(a1,a884,a884),f337(f337(f7(a1,a884,f893(a884,a884)),f337(f337(f8(a878,f893(a884,f893(a884,a884)),a1),f99(a884)),a202)),f2(a884))),a107)),f337(f337(f22(a884),f337(f106(a884),x98621)),f337(f106(a884),x98622)))+P24(f337(f337(f252(a1),x98622),a84))
% 198.12/198.40 [9864]~P22(x98641,x98642)+P24(f337(f337(f251(f893(f892(x98641,x98641),a878)),f337(f337(f294(x98641,x98641,x98641),f337(f271(f893(f892(x98641,x98641),a878),f893(f892(x98641,x98641),a878)),x98642)),f337(f275(f893(f892(x98641,x98641),a878),f893(f892(x98641,x98641),a878)),x98642))),f337(f271(f893(f892(x98641,x98641),a878),f893(f892(x98641,x98641),a878)),x98642)))
% 198.12/198.40 [9927]~E(f337(f38(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,f893(a884,a878),a878),f339(a884)),x99271))),f337(f337(f7(a884,a884,a878),f252(a884)),f337(a115,x99272))))),f2(a884))+~P24(f337(f337(f339(a884),f2(a884)),x99271))
% 198.12/198.40 [9983]E(f45(a1,f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),x99831),x99831)),a100)),f337(f106(a1),f337(f337(f81(a1),x99832),x99832))),f337(f337(f81(a1),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f45(a1,f337(f106(a1),x99831),f337(f106(a1),x99832)))),f79(a1)))+~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x99832)))
% 198.12/198.40 [9992]E(f45(a1,f337(f106(a1),f337(f337(f22(a1),f337(f337(f81(a1),x99921),x99921)),a100)),f337(f106(a1),f337(f337(f81(a1),x99922),x99922))),f337(f337(f22(a1),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f45(a1,f337(f337(f81(a1),f337(f106(a1),x99921)),f79(a1)),f337(f106(a1),x99922)))),f79(a1)))+P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x99922)))
% 198.12/198.40 [10044]~P28(x100441)+E(f40(x100441,f337(f257(x100441),f337(f337(f8(f893(x100441,a878),a878,x100441),f89(x100441)),f337(f337(f8(f893(x100441,a878),f893(x100441,a878),x100441),f337(f18(x100441,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100441),a340),f337(f337(f7(x100441,f893(x100441,a878),a878),f339(x100441)),x100442)))),f251(x100441))))),f41(x100441,x100442))
% 198.12/198.40 [10069]~P39(x100691,x100692)+P56(x100691,f337(f337(f7(x100691,f893(f892(x100691,x100691),a878),f893(x100691,a878)),f337(f337(f8(f893(x100691,f893(f893(f892(x100691,x100691),a878),a878)),f893(f893(f892(x100691,x100691),a878),f893(x100691,a878)),x100691),f7(x100691,f893(f892(x100691,x100691),a878),a878)),f337(f337(f8(f893(x100691,f892(x100691,x100691)),f893(x100691,f893(f893(f892(x100691,x100691),a878),a878)),x100691),f337(f8(f892(x100691,x100691),f893(f893(f892(x100691,x100691),a878),a878),x100691),f339(f892(x100691,x100691)))),f272(x100691,x100691)))),x100692))
% 198.12/198.40 [10070]~P6(x100701,f260(f893(x100701,a878)),x100702)+P5(x100701,f337(f337(f7(x100701,f893(f892(x100701,x100701),a878),f893(x100701,a878)),f337(f337(f8(f893(x100701,f893(f893(f892(x100701,x100701),a878),a878)),f893(f893(f892(x100701,x100701),a878),f893(x100701,a878)),x100701),f7(x100701,f893(f892(x100701,x100701),a878),a878)),f337(f337(f8(f893(x100701,f892(x100701,x100701)),f893(x100701,f893(f893(f892(x100701,x100701),a878),a878)),x100701),f337(f8(f892(x100701,x100701),f893(f893(f892(x100701,x100701),a878),a878),x100701),f339(f892(x100701,x100701)))),f272(x100701,x100701)))),x100702))
% 198.12/198.40 [10107]P39(x101071,x101072)+~P56(x101071,f337(f337(f7(x101071,f893(f892(x101071,x101071),a878),f893(x101071,a878)),f337(f337(f8(f893(x101071,f893(f893(f892(x101071,x101071),a878),a878)),f893(f893(f892(x101071,x101071),a878),f893(x101071,a878)),x101071),f7(x101071,f893(f892(x101071,x101071),a878),a878)),f337(f337(f8(f893(x101071,f892(x101071,x101071)),f893(x101071,f893(f893(f892(x101071,x101071),a878),a878)),x101071),f337(f8(f892(x101071,x101071),f893(f893(f892(x101071,x101071),a878),a878),x101071),f339(f892(x101071,x101071)))),f272(x101071,x101071)))),x101072))
% 198.12/198.40 [10108]P6(x101081,f260(f893(x101081,a878)),x101082)+~P5(x101081,f337(f337(f7(x101081,f893(f892(x101081,x101081),a878),f893(x101081,a878)),f337(f337(f8(f893(x101081,f893(f893(f892(x101081,x101081),a878),a878)),f893(f893(f892(x101081,x101081),a878),f893(x101081,a878)),x101081),f7(x101081,f893(f892(x101081,x101081),a878),a878)),f337(f337(f8(f893(x101081,f892(x101081,x101081)),f893(x101081,f893(f893(f892(x101081,x101081),a878),a878)),x101081),f337(f8(f892(x101081,x101081),f893(f893(f892(x101081,x101081),a878),a878),x101081),f339(f892(x101081,x101081)))),f272(x101081,x101081)))),x101082))
% 198.12/198.40 [7311]E(f337(f337(f81(a884),f337(f106(a884),f337(f337(f22(a1),x73111),a100))),x73112),f337(a115,f337(f337(f81(a884),f337(f106(a884),x73111)),x73112)))+P24(f337(a202,f337(f106(a1),x73111)))
% 198.12/198.40 [7758]~P93(x77581)+E(f337(f337(f81(x77581),f337(f337(f81(x77581),f79(x77581)),f337(f106(x77581),x77582))),f337(f106(x77581),x77582)),f337(f106(x77581),f337(f337(f22(a1),f337(f337(f81(a1),x77582),x77582)),a100)))
% 198.12/198.40 [8394]~P24(f337(f337(f251(a1),x83941),x83942))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x83941),x83941)),f337(f337(f22(a1),f337(f337(f81(a1),x83942),x83942)),a100)))
% 198.12/198.40 [8396]~P24(f337(f337(f251(a1),x83961),x83962))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x83961),x83961)),f337(f337(f22(a1),f337(f337(f81(a1),x83962),x83962)),a100)))
% 198.12/198.40 [8800]P24(f337(f337(f251(a1),x88001),x88002))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),x88001),x88001)),f337(f337(f22(a1),f337(f337(f81(a1),x88002),x88002)),a100)))
% 198.12/198.40 [8802]P24(f337(f337(f251(a1),x88021),x88022))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),x88021),x88021)),f337(f337(f22(a1),f337(f337(f81(a1),x88022),x88022)),a100)))
% 198.12/198.40 [9086]~P24(f337(f337(f251(a1),x90861),x90862))+P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x90861),x90861)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x90862),x90862)),a100)))
% 198.12/198.40 [9088]~P24(f337(f337(f252(a1),x90881),x90882))+P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x90881),x90881)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x90882),x90882)),a100)))
% 198.12/198.40 [9089]~P24(f337(f337(f92(a1),x90891),x90892))+P24(f337(f337(f92(a1),f337(f337(f22(a1),f337(f337(f81(a1),x90891),x90891)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x90892),x90892)),a100)))
% 198.12/198.40 [9344]P24(f337(f337(f251(a1),x93441),x93442))+~P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),x93441),x93441)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x93442),x93442)),a100)))
% 198.12/198.40 [9346]P24(f337(f337(f252(a1),x93461),x93462))+~P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),x93461),x93461)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x93462),x93462)),a100)))
% 198.12/198.40 [9347]P24(f337(f337(f92(a1),x93471),x93472))+~P24(f337(f337(f92(a1),f337(f337(f22(a1),f337(f337(f81(a1),x93471),x93471)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),x93472),x93472)),a100)))
% 198.12/198.40 [9381]~P24(f337(f62(x93811),x93812))+P24(f337(f62(f893(x93811,a878)),f337(f257(f893(x93811,a878)),f337(f337(f7(f893(x93811,a878),f893(x93811,a878),a878),f251(f893(x93811,a878))),x93812))))
% 198.12/198.40 [9426]~E(f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),x94261),f197(f893(f892(a884,a884),a878)))),f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),x94262),f197(f893(f892(a884,a884),a878)))))+P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),x94261),x94262)),a111))
% 198.12/198.40 [9514]E(f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),x95141),f197(f893(f892(a884,a884),a878)))),f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),x95142),f197(f893(f892(a884,a884),a878)))))+~P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),x95141),x95142)),a111))
% 198.12/198.40 [9547]P24(f337(f337(f251(a1),f2(a1)),f656(x95471,x95472)))+E(f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x95471)),f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x95472)))
% 198.12/198.40 [10054]~P28(x100541)+E(f41(x100541,f337(f257(x100541),f337(f337(f8(f893(x100541,a878),a878,x100541),f89(x100541)),f337(f337(f8(f893(x100541,a878),f893(x100541,a878),x100541),f337(f18(x100541,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100541),a340),f337(f337(f7(x100541,f893(x100541,a878),a878),f339(x100541)),x100542)))),f337(f7(x100541,x100541,a878),f251(x100541)))))),f40(x100541,x100542))
% 198.12/198.40 [10075]P24(f337(f337(f339(a884),f2(a884)),x100751))+E(f337(f38(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,f893(a884,a878),a878),f337(f337(f8(a884,f893(f893(a884,a878),a878),a884),f339(a884)),a115)),x100751))),f337(f337(f7(a884,a884,a878),f252(a884)),x100752)))),f337(f38(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,f893(a884,a878),a878),f339(a884)),x100751))),f337(f337(f7(a884,a884,a878),f252(a884)),f337(a115,x100752))))))
% 198.12/198.40 [7627]~P93(x76271)+E(f337(f337(f82(x76271),x76272),f337(f106(x76271),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),x76272)
% 198.12/198.40 [7887]~P93(x78871)+E(f337(f337(f81(x78871),f337(f106(x78871),x78872)),f79(x78871)),f337(f106(x78871),f337(f337(f81(a1),x78872),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))
% 198.12/198.40 [8032]P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x80322)))+E(f337(f337(f262(a1),x80321),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),x80322),x80322)),a100))),f79(a1))
% 198.12/198.40 [9405]~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x94052)))+E(f337(f337(f262(a1),x94051),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),x94052),x94052)),a100))),f337(f337(f87(a1,a1),f337(f337(f262(a1),x94051),f337(f106(a884),x94052))),f337(f337(f18(a1,a1,a1),f337(f337(f8(a1,f893(a1,a1),a1),f82(a1)),f337(f82(a1),x94051))),f5(a1))))
% 198.12/198.40 [9768]~P24(f337(f337(f251(a884),f803(x97682,x97681)),f337(x97681,f803(x97682,x97681))))+P24(f337(f62(a884),f337(f257(a884),f337(f337(f7(a884,a884,a878),f337(f337(f8(a884,f893(a884,a878),a884),f251(a884)),x97681)),x97682))))
% 198.12/198.40 [9917]~P24(f337(f337(f251(a884),f337(f106(a884),x99171)),f337(a115,x99172)))+P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x99171),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),f251(a884)),a107)),x99172))))
% 198.12/198.40 [9918]~P24(f337(f337(f252(a884),f337(f106(a884),x99181)),f337(a115,x99182)))+P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x99181),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),f252(a884)),a107)),x99182))))
% 198.12/198.40 [9967]P24(f337(f337(f251(a884),f337(f106(a884),x99671)),f337(a115,x99672)))+~P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x99671),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),f251(a884)),a107)),x99672))))
% 198.12/198.40 [9968]P24(f337(f337(f252(a884),f337(f106(a884),x99681)),f337(a115,x99682)))+~P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x99681),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),f252(a884)),a107)),x99682))))
% 198.12/198.40 [9998]~P24(f337(f337(f251(a884),f337(a115,x99982)),f337(f106(a884),x99981)))+P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x99981),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f8(a884,a878,a1),f337(f251(a884),x99982)),a107)))))
% 198.12/198.40 [9999]~P24(f337(f337(f252(a884),f337(a115,x99992)),f337(f106(a884),x99991)))+P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x99991),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f8(a884,a878,a1),f337(f252(a884),x99992)),a107)))))
% 198.12/198.40 [10042]P24(f337(f337(f251(a884),f337(a115,x100421)),f337(f106(a884),x100422)))+~P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x100422),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f8(a884,a878,a1),f337(f251(a884),x100421)),a107)))))
% 198.12/198.40 [10043]P24(f337(f337(f252(a884),f337(a115,x100431)),f337(f106(a884),x100432)))+~P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x100432),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f8(a884,a878,a1),f337(f252(a884),x100431)),a107)))))
% 198.12/198.40 [10114]~P24(f337(f337(f339(a884),f2(a884)),x101141))+E(f337(a115,f337(f38(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,f893(a884,a878),a878),f337(f337(f8(a884,f893(f893(a884,a878),a878),a884),f339(a884)),a115)),x101141))),f337(f337(f7(a884,a884,a878),f252(a884)),x101142))))),f337(f38(a884),f337(f257(a884),f337(f337(f18(a884,a878,a878),f337(f337(f8(a878,f893(a878,a878),a884),a335),f337(f337(f7(a884,f893(a884,a878),a878),f339(a884)),x101141))),f337(f337(f7(a884,a884,a878),f252(a884)),f337(a115,x101142))))))
% 198.12/198.40 [8563]~P93(x85631)+E(f337(f337(f82(x85631),f337(f106(x85631),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),x85632),x85632)
% 198.12/198.40 [8622]~P93(x86221)+E(f337(f337(f81(x86221),f79(x86221)),f337(f106(x86221),x86222)),f337(f106(x86221),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),x86222)))
% 198.12/198.40 [8679]~P93(x86791)+E(f337(f337(f22(x86791),f337(f106(x86791),x86792)),f79(x86791)),f337(f106(x86791),f337(f337(f81(a1),x86792),f337(f80(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.40 [8818]~P24(f337(f337(f252(a884),f337(f106(a884),a84)),x88182))+E(f337(f337(f22(a884),x88181),f337(f337(f22(a884),x88182),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f22(a884),f337(a115,x88181)),x88182))
% 198.12/198.40 [9444]~P110(x94441)+E(f337(f337(f82(x94441),x94442),x94442),f337(f337(f262(x94441),x94442),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.40 [9445]~P80(x94451)+E(f337(f337(f262(x94451),x94452),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f82(x94451),x94452),x94452))
% 198.12/198.40 [9447]~P93(x94471)+E(f337(f337(f82(x94471),x94472),f337(f106(x94471),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f81(x94471),x94472),x94472))
% 198.12/198.40 [9686]~P138(x96861)+E(f337(f337(f262(x96861),f337(f80(x96861),x96862)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f262(x96861),x96862),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.40 [9687]~P116(x96871)+E(f337(f337(f262(x96871),f337(f76(x96871),x96872)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f262(x96871),x96872),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.40 [9683]~P93(x96831)+E(f337(f337(f82(x96831),f337(f106(x96831),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x96832),f337(f337(f81(x96831),x96832),x96832))
% 198.12/198.40 [9808]~P116(x98081)+E(f337(f76(x98081),f337(f337(f262(x98081),x98082),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x98081),x98082),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.40 [9871]~P116(x98711)+P24(f337(f337(f251(x98711),f2(x98711)),f337(f337(f262(x98711),x98712),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.40 [10033]~E(f337(a115,x100332),f337(f106(a884),x100331))+P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x100331),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),a334),a107)),x100332)))))
% 198.12/198.40 [10034]~E(f337(f106(a884),x100341),f337(a115,x100342))+P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x100341),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),a334),a107)),x100342)))))
% 198.12/198.40 [10078]E(f337(a115,x100781),f337(f106(a884),x100782))+~P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x100782),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),a334),a107)),x100781)))))
% 198.12/198.40 [10079]E(f337(f106(a884),x100791),f337(a115,x100792))+~P24(f337(f337(f87(a1,a878),f337(f106(a1),f337(f337(f81(a1),x100791),a100))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a340),f337(f337(f8(a878,a878,a1),a332),a202))),f337(f337(f7(a1,a884,a878),f337(f337(f8(a884,f893(a884,a878),a1),a334),a107)),x100792)))))
% 198.12/198.40 [9869]~P93(x98691)+E(f337(f337(f262(x98691),f337(f106(x98691),a100)),f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x98692)),f79(x98691))
% 198.12/198.40 [9870]~P138(x98701)+E(f337(f337(f262(x98701),f337(f80(x98701),f79(x98701))),f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x98702)),f79(x98701))
% 198.12/198.40 [9873]~P80(x98731)+E(f337(f337(f262(x98731),x98732),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),a100))),f337(f337(f82(x98731),f337(f337(f82(x98731),x98732),x98732)),x98732))
% 198.12/198.40 [10058]~P24(f337(f337(f251(a1),f2(a1)),x100582))+E(f45(a1,f337(f337(f81(a1),f79(a1)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100581)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100582)),f337(f337(f81(a1),f79(a1)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f45(a1,x100581,x100582))))
% 198.12/198.40 [10081]~P24(f337(f337(f251(a1),f2(a1)),x100812))+E(f337(f337(f39(a1),f337(f337(f81(a1),f79(a1)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100811))),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100812)),f337(f337(f39(a1),x100811),x100812))
% 198.12/198.40 [10083]~P24(f337(f337(f251(a1),x100832),f2(a1)))+E(f337(f337(f39(a1),f337(f337(f81(a1),f79(a1)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100831))),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100832)),f337(f337(f39(a1),f337(f337(f81(a1),x100831),f79(a1))),x100832))
% 198.12/198.40 [10084]~P24(f337(f337(f251(a1),x100842),f2(a1)))+E(f45(a1,f337(f337(f81(a1),f79(a1)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100841)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100842)),f337(f337(f22(a1),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f45(a1,f337(f337(f81(a1),x100841),f79(a1)),x100842))),f79(a1)))
% 198.12/198.40 [9958]~P93(x99581)+E(f337(f337(f262(x99581),f337(f106(x99581),a100)),f337(a115,f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99582))),f337(f106(x99581),a100))
% 198.12/198.40 [9960]~P138(x99601)+E(f337(f337(f262(x99601),f337(f80(x99601),f79(x99601))),f337(a115,f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99602))),f337(f80(x99601),f79(x99601)))
% 198.12/198.40 [5162]~P20(x51621,x51622,x51623)+P23(x51621,x51622,x51623)
% 198.12/198.40 [8098]~E(x80982,x80983)+P36(x80981,x80981,a334,x80982,x80983)
% 198.12/198.40 [8635]E(x86351,x86352)+~P36(x86353,x86353,a334,x86351,x86352)
% 198.12/198.40 [4805]E(f172(x48051,x48052,x48053),f116(x48051))+~E(x48052,f2(a884))
% 198.12/198.40 [4971]~E(f172(x49712,x49711,x49713),f116(x49712))+E(x49711,f2(a884))
% 198.12/198.40 [5167]~P39(x51671,x51673)+P39(x51671,f331(x51671,x51672,x51673))
% 198.12/198.40 [5341]P31(x53411,x53412,x53413)+~P31(x53411,f337(a115,x53412),x53413)
% 198.12/198.40 [5428]~P6(x54281,x54282,x54283)+P6(f885(x54281),f163(x54281,x54282),f160(x54281,x54283))
% 198.12/198.40 [5429]~P41(x54291,x54292,x54293)+P41(f885(x54291),f163(x54291,x54292),f160(x54291,x54293))
% 198.12/198.40 [5541]P52(x55411,x55412,x55413)+~E(f577(x55413,x55412,x55411),f578(x55413,x55412,x55411))
% 198.12/198.40 [5542]P51(x55421,x55422,x55423)+~E(f590(x55423,x55422,x55421),f591(x55423,x55422,x55421))
% 198.12/198.40 [6483]P23(x64831,x64832,x64833)+~P31(x64831,f565(x64833,x64832,x64831),f570(x64833,x64832,x64831))
% 198.12/198.40 [4711]~E(x47111,f210(x47112))+~E(x47111,f337(f209(x47112),x47113))
% 198.12/198.40 [4761]~E(f337(f171(x47612),x47611),x47613)+E(x47611,f337(f171(x47612),x47613))
% 198.12/198.40 [4762]~E(x47622,f337(f171(x47621),x47623))+E(f337(f171(x47621),x47622),x47623)
% 198.12/198.40 [4811]E(x48111,x48112)+~E(f337(f209(x48113),x48111),f337(f209(x48113),x48112))
% 198.12/198.40 [4812]E(x48121,x48122)+~E(f337(f171(x48123),x48121),f337(f171(x48123),x48122))
% 198.12/198.40 [5018]~P5(x50183,x50181)+P24(f337(f337(x50181,x50182),x50182))
% 198.12/198.40 [5019]~P50(x50193,x50191)+P24(f337(f337(x50191,x50192),x50192))
% 198.12/198.40 [5021]~P56(x50211,x50212)+P24(f337(f325(x50211,x50212),x50213))
% 198.12/198.40 [5084]~P39(x50841,x50842)+P39(f885(x50841),f337(f145(x50841,x50842),x50843))
% 198.12/198.40 [5089]~P24(f337(x50892,x50893))+~E(f337(f257(x50891),x50892),f197(f893(x50891,a878)))
% 198.12/198.40 [5090]~P24(f337(x50902,x50903))+~E(f197(f893(x50901,a878)),f337(f257(x50901),x50902))
% 198.12/198.40 [5104]E(x51041,f2(a884))+E(f146(x51042,f172(x51042,x51041,x51043)),x51043)
% 198.12/198.40 [5122]~P24(f337(x51221,x51223))+P24(f337(x51221,f91(x51222,x51221)))
% 198.12/198.40 [5134]E(x51341,f2(a884))+E(f337(f143(x51342),f172(x51342,x51341,x51343)),x51343)
% 198.12/198.40 [5247]~E(x52472,x52473)+P24(f337(f337(f339(x52471),x52472),f337(a334,x52473)))
% 198.12/198.40 [5260]~E(x52602,f2(a884))+E(f337(f175(x52601),f172(x52601,x52602,x52603)),f197(f893(x52601,a878)))
% 198.12/198.40 [5307]E(f337(f171(x53071),x53072),f337(f337(f153(x53071),x53073),f116(x53071)))+~E(x53072,f337(f337(f153(x53071),x53073),f116(x53071)))
% 198.12/198.40 [5308]~E(x53083,f337(f337(f153(x53081),x53082),f116(x53081)))+E(f337(f337(f153(x53081),x53082),f116(x53081)),f337(f171(x53081),x53083))
% 198.12/198.40 [5334]~E(x53343,f337(f16(f887(x53342),x53341),f210(x53342)))+E(f187(x53341,x53342,x53343),f197(f893(x53341,a878)))
% 198.12/198.40 [5356]~P35(x53561,x53562,x53563)+P35(x53561,x53562,f337(f171(x53561),x53563))
% 198.12/198.40 [5357]~P33(x53571,x53572,x53573)+P33(x53571,x53572,f337(f171(x53571),x53573))
% 198.12/198.40 [5360]E(f337(f38(x53601),f827(x53602,x53603,x53601)),x53602)+~E(f337(f38(x53601),x53603),f337(a115,x53602))
% 198.12/198.40 [5366]~P39(x53661,x53663)+P24(f337(f337(f339(x53661),x53662),f326(x53661,x53663)))
% 198.12/198.40 [5370]~E(f337(f171(x53702),x53701),f337(f337(f153(x53702),x53703),f116(x53702)))+E(x53701,f337(f337(f153(x53702),x53703),f116(x53702)))
% 198.12/198.40 [5371]~E(f337(f337(f153(x53712),x53713),f116(x53712)),f337(f171(x53712),x53711))+E(x53711,f337(f337(f153(x53712),x53713),f116(x53712)))
% 198.12/198.40 [5386]E(x53861,f337(f16(f887(x53862),x53863),f210(x53862)))+~E(f187(x53863,x53862,x53861),f197(f893(x53863,a878)))
% 198.12/198.40 [5392]E(f86(f892(a884,a884),f48(x53921,x53922)),x53923)+~P24(f337(f48(x53921,x53922),x53923))
% 198.12/198.40 [5400]~E(x54003,f337(f209(x54001),x54002))+P24(f337(f337(f339(x54001),x54002),f244(x54001,x54003)))
% 198.12/198.40 [5432]P35(x54321,x54322,x54323)+~P35(x54321,x54322,f337(f171(x54321),x54323))
% 198.12/198.40 [5433]P33(x54331,x54332,x54333)+~P33(x54331,x54332,f337(f171(x54331),x54333))
% 198.12/198.40 [5495]~E(x54952,f116(x54951))+P24(f337(f337(f339(f885(x54951)),x54952),f163(x54951,x54953)))
% 198.12/198.40 [5502]~P41(x55021,x55022,x55023)+P41(x55021,x55022,f337(f292(x55021,x55021),x55023))
% 198.12/198.40 [5503]~P52(x55031,x55032,x55033)+P52(x55031,x55032,f337(f292(x55031,x55031),x55033))
% 198.12/198.40 [5522]~P26(x55221)+E(f45(x55221,f45(x55221,x55222,x55223),x55223),f45(x55221,x55222,x55223))
% 198.12/198.40 [5619]E(x56191,x56192)+~P24(f337(f337(f339(x56193),x56191),f337(a334,x56192)))
% 198.12/198.40 [5665]~P142(x56651)+E(f199(x56651,x56652,f2(a884),x56653),x56653)
% 198.12/198.40 [5685]P41(x56851,x56852,x56853)+~P41(x56851,x56852,f337(f292(x56851,x56851),x56853))
% 198.12/198.40 [5686]P52(x56861,x56862,x56863)+~P52(x56861,x56862,f337(f292(x56861,x56861),x56863))
% 198.12/198.40 [5690]~P105(x56902)+E(f152(x56901,x56902,x56903,f116(x56901)),f116(x56901))
% 198.12/198.40 [5703]E(f173(x57031,x57032,f154(x57031,x57033)),f154(x57031,f173(x57031,x57032,x57033)))+~P24(f337(f139(x57031),x57033))
% 198.12/198.40 [5709]E(x57091,f337(f209(x57092),x57093))+~P24(f337(f337(f339(x57092),x57093),f244(x57092,x57091)))
% 198.12/198.40 [5795]~P24(f337(a25,x57953))+P24(f337(a25,f29(x57951,x57952,x57953)))
% 198.12/198.40 [5806]E(f337(f138(x58061,x58062),x58063),f116(x58061))+P24(f337(x58062,f688(x58063,x58062,x58061)))
% 198.12/198.40 [5864]E(f69(x58641,x58642,x58643),x58642)+P24(f337(x58643,f767(x58642,x58641,x58643)))
% 198.12/198.40 [5950]~P24(f337(f139(x59501),x59503))+P24(f337(f139(x59501),f173(x59501,x59502,x59503)))
% 198.12/198.40 [5951]~P24(f337(f139(x59511),x59512))+P24(f337(f139(x59511),f179(x59511,x59512,x59513)))
% 198.12/198.40 [5952]~P24(f337(f139(x59521),x59523))+P24(f337(f139(x59521),f180(x59521,x59522,x59523)))
% 198.12/198.40 [5953]~P24(f337(f139(x59531),x59533))+P24(f337(f139(x59531),f142(x59531,x59532,x59533)))
% 198.12/198.40 [5954]~P144(x59541,x59543,x59542)+P24(f337(x59541,f45(a1,x59542,x59543)))
% 198.12/198.40 [5973]~P35(x59733,x59731,x59732)+P24(f337(x59731,f770(x59732,x59731,x59733)))
% 198.12/198.40 [5974]~P37(x59743,x59741,x59742)+P24(f337(x59741,f796(x59742,x59741,x59743)))
% 198.12/198.40 [5975]~P37(x59753,x59751,x59752)+P24(f337(x59751,f798(x59752,x59751,x59753)))
% 198.12/198.40 [5996]E(f337(f138(x59961,x59962),x59963),f180(x59961,x59962,x59963))+P24(f337(x59962,f746(x59963,x59962,x59961)))
% 198.12/198.40 [6035]~P24(f337(f139(x60351),x60353))+P24(f337(f139(f885(x60351)),f55(x60351,x60352,x60353)))
% 198.12/198.40 [6069]~P106(x60691)+E(f337(f337(f104(f893(x60691,a878)),f337(f258(x60691),x60692)),f308(x60691,x60692,x60693)),f197(f893(x60691,a878)))
% 198.12/198.40 [6070]~P106(x60701)+E(f337(f337(f104(f893(x60701,a878)),f337(f306(x60701),x60702)),f311(x60701,x60702,x60703)),f197(f893(x60701,a878)))
% 198.12/198.40 [6071]~P106(x60711)+E(f337(f337(f104(f893(x60711,a878)),f337(f306(x60711),x60712)),f310(x60711,x60712,x60713)),f197(f893(x60711,a878)))
% 198.12/198.40 [6220]P24(f337(a25,x62201))+~P24(f337(a25,f29(x62202,x62203,x62201)))
% 198.12/198.40 [6222]P24(f337(a25,x62221))+~P24(f337(a25,f30(x62222,x62223,x62221)))
% 198.12/198.40 [6224]P24(f337(a25,x62241))+~P24(f337(a25,f30(x62242,x62241,x62243)))
% 198.12/198.40 [6305]E(f337(f138(x63051,x63052),x63053),x63053)+~P24(f337(x63052,f689(x63053,x63052,x63051)))
% 198.12/198.40 [6307]E(f337(f337(f315(x63071),f854(x63072,x63073,x63071)),f827(x63072,x63073,x63071)),x63073)+~E(f337(f38(x63071),x63073),f337(a115,x63072))
% 198.12/198.40 [6322]P144(x63221,x63222,x63223)+~P24(f337(x63221,f45(a1,x63223,x63222)))
% 198.12/198.40 [6369]P33(x63691,x63692,x63693)+~P24(f337(x63692,f783(x63693,x63692,x63691)))
% 198.12/198.40 [6370]P33(x63701,x63702,x63703)+~P24(f337(x63702,f793(x63702,x63703,x63701)))
% 198.12/198.40 [6371]P33(x63711,x63712,x63713)+~P24(f337(x63712,f794(x63713,x63712,x63711)))
% 198.12/198.40 [6373]E(f180(x63731,x63732,x63733),x63733)+~P24(f337(x63732,f731(x63733,x63732,x63731)))
% 198.12/198.40 [6452]~P24(f337(x64522,f558(x64523,x64522,x64521)))+P24(f337(f265(x64521,x64522),x64523))
% 198.12/198.40 [6453]~P24(f337(x64532,f748(x64533,x64532,x64531)))+P24(f337(f162(x64531,x64532),x64533))
% 198.12/198.40 [6701]~P24(f337(f325(x67011,x67012),f475(x67013,x67012,x67011)))+P24(f337(f325(x67011,x67012),x67013))
% 198.12/198.40 [6702]~P24(f337(f325(x67021,x67022),f485(x67023,x67022,x67021)))+P24(f337(f325(x67021,x67022),x67023))
% 198.12/198.40 [7312]~P26(x73121)+E(f337(f337(f81(x73121),f337(f337(f82(x73121),x73122),f337(f337(f39(x73121),x73123),x73122))),f45(x73121,x73123,x73122)),x73123)
% 198.12/198.40 [7781]E(f337(f337(f272(x77811,x77811),f505(x77812,x77813,x77811)),f505(x77812,x77813,x77811)),x77813)+~P24(f337(f337(f339(f892(x77811,x77811)),x77813),f269(x77811,x77812)))
% 198.12/198.40 [7895]~P24(f337(f337(f339(x78951),f517(x78953,x78952,x78951)),f326(x78951,x78953)))+P24(f337(f337(f339(x78951),x78952),f326(x78951,x78953)))
% 198.12/198.40 [7896]~P24(f337(f337(f339(x78961),f579(x78963,x78962,x78961)),f326(x78961,x78963)))+P24(f337(f337(f339(x78961),x78962),f326(x78961,x78963)))
% 198.12/198.40 [7897]~P24(f337(f337(f339(x78971),f581(x78973,x78972,x78971)),f326(x78971,x78973)))+P24(f337(f337(f339(x78971),x78972),f326(x78971,x78973)))
% 198.12/198.40 [8079]~P26(x80791)+E(f337(f337(f81(x80791),f337(f337(f82(x80791),f337(f337(f39(x80791),x80792),x80793)),x80793)),f45(x80791,x80792,x80793)),x80792)
% 198.12/198.40 [8124]~E(f337(f38(x81241),x81242),f337(a115,x81243))+~P24(f337(f337(f339(x81241),f854(x81243,x81242,x81241)),f827(x81243,x81242,x81241)))
% 198.12/198.40 [8730]P24(f337(f337(f251(f893(f892(x87301,x87301),a878)),f313(x87301,x87302)),f313(x87301,x87303)))+~P24(f337(f337(f251(f893(f892(x87301,x87301),a878)),x87302),f313(x87301,x87303)))
% 198.12/198.40 [8996]E(x89961,f116(x89962))+~P24(f337(f337(f339(f892(f885(x89962),f885(x89962))),f337(f337(f272(f885(x89962),f885(x89962)),x89961),f116(x89962))),f160(x89962,x89963)))
% 198.12/198.40 [9021]E(x90211,f116(x90212))+~P24(f337(f337(f339(f892(f885(x90212),f885(x90212))),f337(f337(f272(f885(x90212),f885(x90212)),f116(x90212)),x90211)),f160(x90212,x90213)))
% 198.12/198.40 [9146]E(f337(f337(f153(x91461),f710(x91462,x91463,x91461)),f712(x91462,x91463,x91461)),x91463)+~P24(f337(f337(f339(f892(f885(x91461),f885(x91461))),f337(f337(f272(f885(x91461),f885(x91461)),f116(x91461)),x91463)),f149(x91461,x91462)))
% 198.12/198.40 [9374]~P123(x93741)+~P24(f337(f337(f252(x93741),f337(f337(f81(x93741),f337(f337(f82(x93741),x93742),x93742)),f337(f337(f82(x93741),x93743),x93743))),f2(x93741)))
% 198.12/198.40 [9421]P24(f337(f62(x94211),x94212))+~P24(f337(f337(f339(f892(f893(x94211,a878),f893(x94211,a878))),f337(f337(f272(f893(x94211,a878),f893(x94211,a878)),x94213),x94212)),f312(x94211)))
% 198.12/198.40 [9709]~P48(x97091,x97092,x97093)+P24(f337(f337(f251(a1),f337(f337(f74(f892(a1,a1),a1,x97091,f271(a1,a1)),f225(x97091)),f242(x97091,x97092,f239(x97091,x97093)))),f2(a1)))
% 198.12/198.40 [9710]~P49(x97101,x97102,x97103)+P24(f337(f337(f252(a1),f337(f337(f74(f892(a1,a1),a1,x97101,f271(a1,a1)),f225(x97101)),f242(x97101,x97102,f239(x97101,x97103)))),f2(a1)))
% 198.12/198.40 [9838]P49(x98381,x98382,x98383)+~P24(f337(f337(f252(a1),f337(f337(f74(f892(a1,a1),a1,x98381,f271(a1,a1)),f225(x98381)),f242(x98381,x98382,f239(x98381,x98383)))),f2(a1)))
% 198.12/198.40 [9839]P48(x98391,x98392,x98393)+~P24(f337(f337(f251(a1),f337(f337(f74(f892(a1,a1),a1,x98391,f271(a1,a1)),f225(x98391)),f242(x98391,x98392,f239(x98391,x98393)))),f2(a1)))
% 198.12/198.40 [10159]~P116(x101591)+~P24(f337(f337(f252(x101591),f337(f337(f81(x101591),f337(f337(f262(x101591),x101592),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101591),x101593),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f2(x101591)))
% 198.12/198.40 [4792]~E(x47923,f116(x47921))+E(f337(f337(f136(x47921),x47922),x47923),x47922)
% 198.12/198.40 [4793]~E(x47932,f116(x47931))+E(f337(f337(f136(x47931),x47932),x47933),x47933)
% 198.12/198.40 [4800]~E(x48002,f2(a884))+E(f337(f337(f178(x48001),x48002),x48003),f116(x48001))
% 198.12/198.40 [4806]~E(x48063,f116(x48061))+E(f337(f337(f178(x48061),x48062),x48063),f116(x48061))
% 198.12/198.40 [4846]~E(x48461,x48463)+E(x48461,f337(f337(f136(x48462),f116(x48462)),x48463))
% 198.12/198.40 [4933]~P63(x49332)+E(f337(f197(f893(x49331,x49332)),x49333),f197(x49332))
% 198.12/198.40 [4934]~P114(x49342)+E(f337(f260(f893(x49341,x49342)),x49343),f260(x49342))
% 198.12/198.40 [4953]E(x49531,f116(x49532))+~E(f337(f337(f136(x49532),x49533),x49531),x49533)
% 198.12/198.40 [4954]E(x49541,f116(x49542))+~E(f337(f337(f136(x49542),x49541),x49543),x49543)
% 198.12/198.40 [4962]E(x49621,f116(x49622))+~E(f337(f337(f136(x49622),x49623),x49621),f116(x49622))
% 198.12/198.40 [4963]E(x49631,f116(x49632))+~E(f337(f337(f136(x49632),x49631),x49633),f116(x49632))
% 198.12/198.40 [4988]~E(x49882,f2(a884))+E(f337(f337(f82(a884),x49881),x49882),f337(f337(f82(a884),x49883),x49882))
% 198.12/198.40 [4990]~E(x49901,f2(a884))+E(f337(f337(f82(a884),x49901),x49902),f337(f337(f82(a884),x49901),x49903))
% 198.12/198.40 [5043]~P64(x50431)+E(f337(f337(f113(x50431),x50432),x50433),f337(f337(f113(x50431),x50433),x50432))
% 198.12/198.40 [5045]~P100(x50451)+E(f337(f337(f113(x50451),x50452),x50453),f337(f337(f113(x50451),x50453),x50452))
% 198.12/198.40 [5046]~P110(x50461)+E(f337(f337(f82(x50461),x50462),x50463),f337(f337(f82(x50461),x50463),x50462))
% 198.12/198.40 [5047]~P64(x50471)+E(f337(f337(f104(x50471),x50472),x50473),f337(f337(f104(x50471),x50473),x50472))
% 198.12/198.40 [5049]~P101(x50491)+E(f337(f337(f104(x50491),x50492),x50493),f337(f337(f104(x50491),x50493),x50492))
% 198.12/198.40 [5050]~P110(x50501)+E(f337(f337(f81(x50501),x50502),x50503),f337(f337(f81(x50501),x50503),x50502))
% 198.12/198.40 [5052]~P105(x50521)+E(f337(f337(f249(x50521),x50522),x50523),f337(f337(f249(x50521),x50523),x50522))
% 198.12/198.40 [5054]~P105(x50541)+E(f337(f337(f250(x50541),x50542),x50543),f337(f337(f250(x50541),x50543),x50542))
% 198.12/198.40 [5117]E(f45(a884,x51171,x51172),f2(a884))+~E(x51171,f337(f337(f82(a884),x51172),x51173))
% 198.12/198.40 [5118]E(f45(a1,x51181,x51182),f2(a1))+~E(x51181,f337(f337(f82(a1),x51182),x51183))
% 198.12/198.40 [5179]E(x51791,x51792)+~E(f337(f337(f81(a884),x51793),x51791),f337(f337(f81(a884),x51793),x51792))
% 198.12/198.40 [5180]E(x51801,x51802)+~E(f337(f337(f81(a884),x51801),x51803),f337(f337(f81(a884),x51802),x51803))
% 198.12/198.40 [5190]~P86(x51901)+E(f337(f337(f104(x51901),x51902),f337(f80(x51901),x51903)),f337(f337(f22(x51901),x51902),x51903))
% 198.12/198.40 [5191]~P67(x51911)+E(f337(f337(f81(x51911),x51912),f337(f80(x51911),x51913)),f337(f337(f22(x51911),x51912),x51913))
% 198.12/198.40 [5192]~P75(x51921)+E(f337(f337(f81(x51921),x51922),f337(f80(x51921),x51923)),f337(f337(f22(x51921),x51922),x51923))
% 198.12/198.40 [5193]~P112(x51931)+E(f337(f337(f81(x51931),x51932),f337(f80(x51931),x51933)),f337(f337(f22(x51931),x51932),x51933))
% 198.12/198.40 [5194]~P75(x51941)+E(f337(f337(f22(x51941),x51942),f337(f80(x51941),x51943)),f337(f337(f81(x51941),x51942),x51943))
% 198.12/198.40 [5240]~P24(f337(x52403,x52402))+P24(f337(f337(f339(x52401),x52402),x52403))
% 198.12/198.40 [5242]~P70(x52422)+E(f337(f337(f6(x52421,x52422),x52423),f197(f893(x52421,a878))),f2(x52422))
% 198.12/198.40 [5244]~P74(x52442)+E(f337(f337(f9(x52441,x52442),x52443),f197(f893(x52441,a878))),f79(x52442))
% 198.12/198.40 [5295]~E(x52952,f337(f337(f81(a884),x52951),x52953))+P24(f337(f337(f251(a884),x52951),x52952))
% 198.12/198.40 [5298]~E(x52982,f197(f893(x52981,a878)))+E(f337(f337(f61(x52981),x52982),x52983),f197(f893(f893(x52981,a878),a878)))
% 198.12/198.40 [5299]~E(x52992,f197(f893(x52991,a878)))+E(f197(f893(f893(x52991,a878),a878)),f337(f337(f61(x52991),x52992),x52993))
% 198.12/198.40 [5375]~E(f337(f268(x53752,x53753),x53751),f197(f893(x53753,a878)))+E(x53751,f197(f893(f892(x53752,x53753),a878)))
% 198.12/198.40 [5376]~E(f337(f270(x53762,x53763),x53761),f197(f893(x53762,a878)))+E(x53761,f197(f893(f892(x53762,x53763),a878)))
% 198.12/198.40 [5406]E(f337(f268(x54061,x54062),x54063),f197(f893(x54062,a878)))+~E(x54063,f197(f893(f892(x54061,x54062),a878)))
% 198.12/198.40 [5407]E(f337(f270(x54071,x54072),x54073),f197(f893(x54071,a878)))+~E(x54073,f197(f893(f892(x54071,x54072),a878)))
% 198.12/198.40 [5410]E(f287(x54101,x54102,x54103),f337(f337(f22(a102),x54102),x54103))+P24(f337(f337(f252(a102),x54102),x54103))
% 198.12/198.40 [5426]P24(f337(x54261,x54262))+~P24(f337(f337(f339(x54263),x54262),x54261))
% 198.12/198.40 [5465]E(x54651,x54652)+~E(f337(f80(f893(x54653,a878)),x54651),f337(f80(f893(x54653,a878)),x54652))
% 198.12/198.40 [5470]E(f319(x54701,x54702,x54703),f210(f885(a333)))+~P24(f337(f337(f252(a1),x54702),x54703))
% 198.12/198.40 [5475]~E(x54751,f197(f893(x54752,a878)))+~P24(f337(f337(f339(x54752),x54753),x54751))
% 198.12/198.40 [5504]~E(x55042,f337(f337(f81(a1),x55041),f337(f103(a1),x55043)))+P24(f337(f337(f251(a1),x55041),x55042))
% 198.12/198.40 [5520]E(f337(f337(f315(x55201),x55202),x55203),x55203)+~P24(f337(f337(f339(x55201),x55202),x55203))
% 198.12/198.40 [5531]E(x55311,f197(f893(x55312,a878)))+~E(f337(f337(f61(x55312),x55311),x55313),f197(f893(f893(x55312,a878),a878)))
% 198.12/198.40 [5532]E(x55321,f197(f893(x55322,a878)))+~E(f197(f893(f893(x55322,a878),a878)),f337(f337(f61(x55322),x55321),x55323))
% 198.12/198.40 [5538]~P108(x55381)+E(f337(f337(f82(x55381),f337(f80(x55381),x55382)),f337(f80(x55381),x55383)),f337(f337(f82(x55381),x55382),x55383))
% 198.12/198.40 [5540]~P58(x55401)+E(f337(f337(f295(x55401),f337(f80(x55401),x55402)),f337(f80(x55401),x55403)),f337(f337(f295(x55401),x55402),x55403))
% 198.12/198.40 [5572]~P24(f337(x55723,x55722))+P24(f337(f337(f339(x55721),x55722),f337(f257(x55721),x55723)))
% 198.12/198.40 [5593]E(x55931,f2(a884))+E(f337(f175(x55932),f172(x55932,x55931,x55933)),f337(f337(f315(x55932),x55933),f197(f893(x55932,a878))))
% 198.12/198.40 [5612]E(f173(x56121,x56122,x56123),x56123)+P24(f337(f337(f339(x56121),x56122),f337(f175(x56121),x56123)))
% 198.12/198.40 [5694]~P24(f337(f139(x56941),x56943))+P24(f337(f139(x56941),f337(f138(x56941,x56942),x56943)))
% 198.12/198.40 [5739]~P26(x57391)+E(f337(f337(f39(x57391),f45(x57391,x57392,x57393)),x57393),f2(x57391))
% 198.12/198.40 [5758]E(f179(x57581,f337(f337(f153(x57581),x57582),f116(x57581)),x57583),f116(x57581))+P24(f337(f337(f339(a884),f2(a884)),x57583))
% 198.12/198.40 [5764]E(x57641,f2(a884))+E(f337(f174(x57642),f172(x57642,x57641,x57643)),f172(x57642,f337(f337(f22(a884),x57641),f79(a884)),x57643))
% 198.12/198.40 [5816]E(f337(f337(f153(x58161),x58162),x58163),f142(x58161,x58162,x58163))+P24(f337(f337(f339(x58161),x58162),f337(f175(x58161),x58163)))
% 198.12/198.40 [5825]E(x58251,x58252)+~E(f337(f337(f82(a884),f337(a115,x58253)),x58251),f337(f337(f82(a884),f337(a115,x58253)),x58252))
% 198.12/198.40 [5826]~E(x58262,f337(f337(f81(a1),x58261),f337(f103(a1),f337(a115,x58263))))+P24(f337(f337(f252(a1),x58261),x58262))
% 198.12/198.40 [5932]~E(x59323,f116(x59321))+E(f337(f337(f337(f192(f885(x59321),f885(x59321)),x59322),f170(x59321)),x59323),f116(x59321))
% 198.12/198.40 [5936]P24(f337(x59361,x59362))+~P24(f337(f337(f339(x59363),x59362),f337(f257(x59363),x59361)))
% 198.12/198.40 [5968]E(x59681,x59682)+~E(f337(f337(f315(x59683),x59681),f197(f893(x59683,a878))),f337(f337(f315(x59683),x59682),f197(f893(x59683,a878))))
% 198.12/198.40 [5980]~P106(x59801)+E(f337(f337(f104(f893(x59801,a878)),f337(f258(x59801),x59802)),f337(f307(x59801,x59802),x59803)),f197(f893(x59801,a878)))
% 198.12/198.40 [6022]E(f142(x60221,x60222,x60223),x60223)+~P24(f337(f337(f339(x60221),x60222),f337(f175(x60221),x60223)))
% 198.12/198.40 [6042]~P78(x60421)+E(f337(f316(x60421,x60421,f80(x60421)),f337(f307(x60421,x60422),x60423)),f310(x60421,f337(f80(x60421),x60423),f337(f80(x60421),x60422)))
% 198.12/198.40 [6053]E(f337(f198(f885(x60531)),f173(x60531,x60532,x60533)),f337(f198(f885(x60531)),x60533))+P24(f337(f337(f339(x60531),x60532),f337(f175(x60531),x60533)))
% 198.12/198.40 [6105]~P106(x61051)+E(f337(f337(f104(f893(x61051,a878)),f337(f307(x61051,x61052),x61053)),f337(f259(x61051),x61053)),f197(f893(x61051,a878)))
% 198.12/198.40 [6128]~P78(x61281)+E(f337(f316(x61281,x61281,f80(x61281)),f308(x61281,x61282,x61283)),f308(x61281,f337(f80(x61281),x61283),f337(f80(x61281),x61282)))
% 198.12/198.40 [6129]~P78(x61291)+E(f337(f316(x61291,x61291,f80(x61291)),f311(x61291,x61292,x61293)),f311(x61291,f337(f80(x61291),x61293),f337(f80(x61291),x61292)))
% 198.12/198.40 [6188]E(f179(x61881,f337(f337(f153(x61881),x61882),f116(x61881)),x61883),f337(f337(f153(x61881),x61882),f116(x61881)))+~P24(f337(f337(f339(a884),f2(a884)),x61883))
% 198.12/198.40 [6195]~P78(x61951)+E(f337(f316(x61951,x61951,f80(x61951)),f310(x61951,x61952,x61953)),f337(f307(x61951,f337(f80(x61951),x61953)),f337(f80(x61951),x61952)))
% 198.12/198.40 [6215]~P27(x62151)+E(f45(x62151,f337(f80(x62151),f45(x62151,x62152,x62153)),x62153),f45(x62151,f337(f80(x62151),x62152),x62153))
% 198.12/198.40 [6320]~P24(f337(f62(f892(x63202,x63201)),x63203))+P24(f337(f62(x63201),f337(f268(x63202,x63201),x63203)))
% 198.12/198.40 [6321]~P24(f337(f62(f892(x63211,x63212)),x63213))+P24(f337(f62(x63211),f337(f270(x63211,x63212),x63213)))
% 198.12/198.40 [6326]~P106(x63261)+E(f337(f337(f104(f893(x63261,a878)),f308(x63261,x63262,x63263)),f337(f309(x63261),x63263)),f197(f893(x63261,a878)))
% 198.12/198.40 [6327]~P106(x63271)+E(f337(f337(f104(f893(x63271,a878)),f311(x63271,x63272,x63273)),f337(f259(x63271),x63273)),f197(f893(x63271,a878)))
% 198.12/198.40 [6328]~P106(x63281)+E(f337(f337(f104(f893(x63281,a878)),f310(x63281,x63282,x63283)),f337(f309(x63281),x63283)),f197(f893(x63281,a878)))
% 198.12/198.40 [6394]E(f337(f337(f167(x63941),x63942),f690(x63942,x63943,x63941)),x63943)+~P24(f337(f337(f339(x63941),x63943),f337(f175(x63941),x63942)))
% 198.12/198.40 [6535]E(x65351,f116(x65352))+~E(f337(f337(f337(f192(f885(x65352),f885(x65352)),x65353),f170(x65352)),x65351),f116(x65352))
% 198.12/198.40 [6639]~P24(f337(f62(f892(x66392,x66391)),x66393))+P24(f337(f62(f892(x66391,x66392)),f337(f292(x66392,x66391),x66393)))
% 198.12/198.40 [6789]P52(x67891,x67892,x67893)+P24(f337(f337(f339(x67891),f578(x67893,x67892,x67891)),x67892))
% 198.12/198.40 [6790]P52(x67901,x67902,x67903)+P24(f337(f337(f339(x67901),f577(x67903,x67902,x67901)),x67902))
% 198.12/198.40 [6802]P24(f337(f325(x68021,x68022),x68023))+P24(f337(f337(x68022,f475(x68023,x68022,x68021)),x68023))
% 198.12/198.40 [6803]P24(f337(f325(x68031,x68032),x68033))+P24(f337(f337(x68032,f485(x68033,x68032,x68031)),x68033))
% 198.12/198.40 [6834]E(f337(f198(f885(x68341)),f173(x68341,x68342,x68343)),f337(f337(f22(a884),f337(f198(f885(x68341)),x68343)),f79(a884)))+~P24(f337(f337(f339(x68341),x68342),f337(f175(x68341),x68343)))
% 198.12/198.40 [6874]P24(f337(f265(x68741,x68742),x68743))+P24(f337(f337(f339(x68741),f558(x68743,x68742,x68741)),x68743))
% 198.12/198.40 [6885]~P24(f337(f62(f892(x68852,x68851)),f337(f292(x68851,x68852),x68853)))+P24(f337(f62(f892(x68851,x68852)),x68853))
% 198.12/198.40 [6941]~P24(f337(f337(f339(x69411),x69412),f337(f175(x69411),f117(x69411,x69413))))+P24(f337(f337(f339(x69411),x69412),f337(f175(x69411),x69413)))
% 198.12/198.40 [6946]P23(x69461,x69462,x69463)+P24(f337(f337(f339(f882(x69461)),f570(x69463,x69462,x69461)),x69463))
% 198.12/198.40 [6974]E(f337(f138(x69741,x69742),x69743),x69743)+P24(f337(f337(f339(x69741),f689(x69743,x69742,x69741)),f337(f175(x69741),x69743)))
% 198.12/198.40 [6989]E(f337(f138(x69891,x69892),x69893),f116(x69891))+P24(f337(f337(f339(x69891),f688(x69893,x69892,x69891)),f337(f175(x69891),x69893)))
% 198.12/198.40 [7012]P33(x70121,x70122,x70123)+P24(f337(f337(f339(x70121),f783(x70123,x70122,x70121)),f337(f175(x70121),x70123)))
% 198.12/198.40 [7013]P33(x70131,x70132,x70133)+P24(f337(f337(f339(x70131),f794(x70133,x70132,x70131)),f337(f175(x70131),x70133)))
% 198.12/198.40 [7014]P33(x70141,x70142,x70143)+P24(f337(f337(f339(x70141),f793(x70142,x70143,x70141)),f337(f175(x70141),x70143)))
% 198.12/198.40 [7017]E(f180(x70171,x70172,x70173),x70173)+P24(f337(f337(f339(x70171),f731(x70173,x70172,x70171)),f337(f175(x70171),x70173)))
% 198.12/198.40 [7097]P24(f337(f162(x70971,x70972),x70973))+P24(f337(f337(f339(x70971),f748(x70973,x70972,x70971)),f337(f175(x70971),x70973)))
% 198.12/198.40 [7106]~P35(x71061,x71063,x71062)+P24(f337(f337(f339(x71061),f770(x71062,x71063,x71061)),f337(f175(x71061),x71062)))
% 198.12/198.40 [7107]~P37(x71071,x71073,x71072)+P24(f337(f337(f339(x71071),f796(x71072,x71073,x71071)),f337(f175(x71071),x71072)))
% 198.12/198.40 [7108]~P37(x71081,x71083,x71082)+P24(f337(f337(f339(x71081),f798(x71082,x71083,x71081)),f337(f175(x71081),x71082)))
% 198.12/198.40 [7143]P24(f337(f337(f339(x71431),x71432),f653(x71433,x71432,x71431)))+~P24(f337(f337(f339(x71431),x71432),f40(f893(x71431,a878),x71433)))
% 198.12/198.40 [7144]~P70(x71441)+E(f337(f337(f81(x71441),f337(f337(f6(a884,x71441),x71442),f337(f258(a884),x71443))),f337(x71442,x71443)),f337(f337(f6(a884,x71441),x71442),f337(f258(a884),f337(a115,x71443))))
% 198.12/198.40 [7234]~P35(x72342,x72341,x72343)+P24(f337(x72341,f337(f337(f167(x72342),x72343),f782(x72343,x72341,x72342))))
% 198.12/198.40 [7247]~P24(f337(f337(f339(x72471),x72472),f641(x72472,x72473,x72471)))+P24(f337(f337(f339(x72471),x72472),f41(f893(x72471,a878),x72473)))
% 198.12/198.40 [7277]~P70(x72771)+E(f337(f337(f81(x72771),f337(f337(f6(a884,x72771),x72772),f337(f306(a884),x72773))),f337(x72772,f337(a115,x72773))),f337(f337(f6(a884,x72771),x72772),f337(f306(a884),f337(a115,x72773))))
% 198.12/198.40 [7413]P24(f337(f337(f339(f885(x74131)),x74132),f163(x74131,x74133)))+P24(f337(f337(f339(x74131),f709(x74133,x74132,x74131)),f337(f175(x74131),x74132)))
% 198.12/198.40 [7429]~P24(f337(f337(f339(f885(x74291)),x74292),f163(x74291,f326(x74291,x74293))))+P24(f337(f337(f339(f885(x74291)),x74292),f326(f885(x74291),f159(x74291,x74293))))
% 198.12/198.40 [7455]~P24(f337(f337(f339(f885(x74551)),x74552),f326(f885(x74551),f159(x74551,x74553))))+P24(f337(f337(f339(f885(x74551)),x74552),f163(x74551,f326(x74551,x74553))))
% 198.12/198.40 [7491]E(f337(f337(f337(f192(f885(x74911),f885(x74911)),x74912),f170(x74911)),x74913),x74913)+~P24(f337(f337(f251(a884),f337(f198(f885(x74911)),x74913)),f79(a884)))
% 198.12/198.40 [7526]E(f337(f337(f136(x75261),f785(x75262,x75263,x75261)),f337(f337(f153(x75261),x75263),f786(x75262,x75263,x75261))),x75262)+~P24(f337(f337(f339(x75261),x75263),f337(f175(x75261),x75262)))
% 198.12/198.40 [7527]E(f337(f337(f136(x75271),f787(x75272,x75273,x75271)),f337(f337(f153(x75271),x75273),f788(x75272,x75273,x75271))),x75272)+~P24(f337(f337(f339(x75271),x75273),f337(f175(x75271),x75272)))
% 198.12/198.40 [7528]E(f337(f337(f136(x75281),f791(x75282,x75283,x75281)),f337(f337(f153(x75281),x75283),f792(x75282,x75283,x75281))),x75282)+~P24(f337(f337(f339(x75281),x75283),f337(f175(x75281),x75282)))
% 198.12/198.40 [7552]~P21(x75521,x75522,x75523,f260(f893(x75521,a878)))+P21(f885(x75521),f885(x75522),f337(f156(x75521,x75522),x75523),f260(f893(f885(x75521),a878)))
% 198.12/198.40 [7702]E(x77021,f337(f337(f81(a884),f337(f337(f82(a884),f337(f271(a884,a884),x77022)),x77023)),f337(f275(a884,a884),x77022)))+~P24(f337(f48(x77021,x77023),x77022))
% 198.12/198.40 [7710]P21(x77101,x77102,x77103,f260(f893(x77101,a878)))+~P21(f885(x77101),f885(x77102),f337(f156(x77101,x77102),x77103),f260(f893(f885(x77101),a878)))
% 198.12/198.40 [7753]P24(f337(f337(f339(f893(x77531,a878)),f641(x77532,x77533,x77531)),x77533))+P24(f337(f337(f339(x77531),x77532),f41(f893(x77531,a878),x77533)))
% 198.12/198.40 [7845]P24(f337(f337(f339(f885(x78451)),x78452),f163(x78451,x78453)))+~P24(f337(f337(f339(x78451),f709(x78453,x78452,x78451)),x78453))
% 198.12/198.40 [7944]P33(x79441,x79442,x79443)+~P24(f337(x79442,f337(f337(f167(x79441),x79443),f784(x79443,x79442,x79441))))
% 198.12/198.40 [7968]E(x79681,x79682)+~E(f337(f337(f7(x79683,f893(x79683,a878),a878),f339(x79683)),x79681),f337(f337(f7(x79683,f893(x79683,a878),a878),f339(x79683)),x79682))
% 198.12/198.40 [7974]~P24(f337(f337(f339(f892(x79741,x79741)),x79743),f269(x79741,x79742)))+P24(f337(f337(f339(x79741),f505(x79742,x79743,x79741)),x79742))
% 198.12/198.40 [7976]~P24(f337(f337(f339(x79761),x79763),f40(f893(x79761,a878),x79762)))+P24(f337(f337(f339(f893(x79761,a878)),f653(x79762,x79763,x79761)),x79762))
% 198.12/198.40 [8151]~P24(f337(f337(f339(x81511),x81512),f337(f175(x81511),f788(x81513,x81512,x81511))))+~P24(f337(f337(f339(x81511),x81512),f337(f175(x81511),x81513)))
% 198.12/198.40 [8152]~P24(f337(f337(f339(x81521),x81522),f337(f175(x81521),f791(x81523,x81522,x81521))))+~P24(f337(f337(f339(x81521),x81522),f337(f175(x81521),x81523)))
% 198.12/198.40 [8240]E(f337(f246(f887(f885(a333)),f885(a333),f319(x82401,x82402,f337(f337(f81(a1),x82403),f79(a1))),f209(f885(a333))),f337(x82401,x82403)),f319(x82401,x82402,x82403))+P24(f337(f337(f252(a1),x82402),x82403))
% 198.12/198.40 [8341]E(x83411,f116(x83412))+P24(f337(f337(f339(x83412),f337(f271(x83412,f892(a102,a102)),f337(f288(x83412,x83411),x83413))),f337(f175(x83412),x83411)))
% 198.12/198.40 [8437]~P69(x84371)+E(f337(f144(x84371,x84371,f337(f7(x84371,x84371,x84371),f81(x84371)),x84372),f337(f171(x84371),x84373)),f337(f144(x84371,x84371,f81(x84371),x84372),x84373))
% 198.12/198.40 [8913]~P105(x89131)+E(f337(f175(x89131),f151(x89131,x89131,f5(x89131),x89132,x89133)),f337(f337(f315(x89131),x89132),f337(f175(x89131),x89133)))
% 198.12/198.40 [8925]P24(f337(f337(f252(a884),f2(a884)),f595(x89251,x89252,x89253)))+~P24(f337(f337(f339(f892(x89253,x89253)),x89252),f337(f337(f294(x89253,x89253,x89253),x89251),f313(x89253,x89251))))
% 198.12/198.40 [9203]~P54(x92031,x92032)+~P24(f337(f337(f339(f892(x92031,x92031)),f337(f337(f272(x92031,x92031),x92033),x92033)),f337(f337(f294(x92031,x92031,x92031),x92032),f313(x92031,x92032))))
% 198.12/198.40 [9327]~E(f337(f337(f104(f893(f892(x93271,x93271),a878)),f337(f292(x93271,x93271),x93272)),f313(x93271,x93272)),f197(f893(f892(x93271,x93271),a878)))+~P24(f337(f337(f339(f892(x93271,x93271)),f337(f337(f272(x93271,x93271),x93273),x93273)),f337(f337(f294(x93271,x93271,x93271),x93272),f313(x93271,x93272))))
% 198.12/198.40 [9508]~P24(f337(f62(x95081),x95082))+P24(f337(f337(f251(a884),f337(f38(x95081),f337(f337(f22(f893(x95081,a878)),x95082),f337(f337(f315(x95081),x95083),f197(f893(x95081,a878)))))),f337(f38(x95081),x95082)))
% 198.12/198.40 [5106]~E(x51063,f116(x51061))+E(f146(x51061,f337(f337(f153(x51061),x51062),x51063)),x51062)
% 198.12/198.40 [5114]~E(x51143,f116(x51141))+E(f117(x51141,f337(f337(f153(x51141),x51142),x51143)),f116(x51141))
% 198.12/198.40 [5143]E(x51431,f116(x51432))+E(f146(x51432,f337(f337(f153(x51432),x51433),x51431)),f146(x51432,x51431))
% 198.12/198.40 [5145]E(x51451,f116(x51452))+E(f146(x51452,f337(f337(f136(x51452),x51453),x51451)),f146(x51452,x51451))
% 198.12/198.40 [5151]~E(x51513,f116(x51511))+E(f146(x51511,f337(f337(f136(x51511),x51512),x51513)),f146(x51511,x51512))
% 198.12/198.40 [5152]~E(x51523,f116(x51521))+E(f117(x51521,f337(f337(f136(x51521),x51522),x51523)),f117(x51521,x51522))
% 198.12/198.40 [5184]E(x51841,f116(x51842))+E(f337(f143(x51842),f337(f337(f136(x51842),x51841),x51843)),f337(f143(x51842),x51841))
% 198.12/198.40 [5214]~E(x52142,f116(x52141))+E(f337(f143(x52141),f337(f337(f136(x52141),x52142),x52143)),f337(f143(x52141),x52143))
% 198.12/198.40 [5270]~P64(x52701)+E(f337(f337(f113(x52701),x52702),f337(f337(f104(x52701),x52702),x52703)),x52702)
% 198.12/198.40 [5271]~P64(x52711)+E(f337(f337(f104(x52711),x52712),f337(f337(f113(x52711),x52712),x52713)),x52712)
% 198.12/198.40 [5272]~P105(x52721)+E(f337(f337(f249(x52721),x52722),f337(f337(f250(x52721),x52722),x52723)),x52722)
% 198.12/198.40 [5273]~P105(x52731)+E(f337(f337(f250(x52731),x52732),f337(f337(f249(x52731),x52732),x52733)),x52732)
% 198.12/198.40 [5293]~P26(x52931)+E(f45(x52931,f337(f337(f82(x52931),x52932),x52933),x52933),f2(x52931))
% 198.12/198.40 [5294]~P26(x52941)+E(f45(x52941,f337(f337(f82(x52941),x52942),x52943),x52942),f2(x52941))
% 198.12/198.40 [5369]~P67(x53691)+E(f337(f80(x53691),f337(f337(f22(x53691),x53692),x53693)),f337(f337(f22(x53691),x53693),x53692))
% 198.12/198.40 [5430]E(x54301,f116(x54302))+E(f117(x54302,f337(f337(f153(x54302),x54303),x54301)),f337(f337(f153(x54302),x54303),f117(x54302,x54301)))
% 198.12/198.40 [5431]E(x54311,f116(x54312))+E(f117(x54312,f337(f337(f136(x54312),x54313),x54311)),f337(f337(f136(x54312),x54313),f117(x54312,x54311)))
% 198.12/198.40 [5434]~P28(x54341)+E(f41(x54341,f337(f337(f315(x54341),x54342),x54343)),f337(f337(f104(x54341),x54342),f41(x54341,x54343)))
% 198.12/198.40 [5435]~P28(x54351)+E(f40(x54351,f337(f337(f315(x54351),x54352),x54353)),f337(f337(f113(x54351),x54352),f40(x54351,x54353)))
% 198.12/198.40 [5480]~P64(x54801)+E(f337(f337(f113(x54801),x54802),f337(f337(f113(x54801),x54802),x54803)),f337(f337(f113(x54801),x54802),x54803))
% 198.12/198.40 [5482]~P100(x54821)+E(f337(f337(f113(x54821),x54822),f337(f337(f113(x54821),x54822),x54823)),f337(f337(f113(x54821),x54822),x54823))
% 198.12/198.40 [5483]~P96(x54831)+E(f337(f337(f82(x54831),x54832),f337(f337(f82(x54831),x54832),x54833)),f337(f337(f82(x54831),x54832),x54833))
% 198.12/198.40 [5484]~P64(x54841)+E(f337(f337(f104(x54841),x54842),f337(f337(f104(x54841),x54842),x54843)),f337(f337(f104(x54841),x54842),x54843))
% 198.12/198.40 [5486]~P101(x54861)+E(f337(f337(f104(x54861),x54862),f337(f337(f104(x54861),x54862),x54863)),f337(f337(f104(x54861),x54862),x54863))
% 198.12/198.40 [5488]~P105(x54881)+E(f337(f337(f249(x54881),x54882),f337(f337(f249(x54881),x54882),x54883)),f337(f337(f249(x54881),x54882),x54883))
% 198.12/198.40 [5490]~P105(x54901)+E(f337(f337(f250(x54901),x54902),f337(f337(f250(x54901),x54902),x54903)),f337(f337(f250(x54901),x54902),x54903))
% 198.12/198.40 [5498]~P26(x54981)+E(f45(x54981,f337(f337(f81(x54981),x54982),x54983),x54983),f45(x54981,x54982,x54983))
% 198.12/198.40 [5499]~P26(x54991)+E(f45(x54991,f337(f337(f81(x54991),x54992),x54993),x54992),f45(x54991,x54993,x54992))
% 198.12/198.40 [5505]~P108(x55051)+E(f337(f337(f82(x55051),x55052),f337(f80(x55051),x55053)),f337(f80(x55051),f337(f337(f82(x55051),x55052),x55053)))
% 198.12/198.40 [5506]~P58(x55061)+E(f337(f337(f295(x55061),x55062),f337(f80(x55061),x55063)),f337(f80(x55061),f337(f337(f295(x55061),x55062),x55063)))
% 198.12/198.40 [5507]~P81(x55071)+E(f337(f337(f81(x55071),x55072),f337(f168(x55071),x55073)),f337(f168(x55071),f337(f337(f153(x55071),x55072),x55073)))
% 198.12/198.40 [5537]~P108(x55371)+E(f337(f337(f82(x55371),f337(f80(x55371),x55372)),x55373),f337(f337(f82(x55371),x55372),f337(f80(x55371),x55373)))
% 198.12/198.40 [5543]~P6(x55431,x55432,x55433)+E(f40(f893(x55431,a878),f337(f337(f61(x55431),x55432),x55433)),x55432)
% 198.12/198.40 [5604]~P113(x56041)+E(f337(f337(f82(x56041),x56042),f337(f337(f262(x56041),x56042),x56043)),f337(f337(f262(x56041),x56042),f337(a115,x56043)))
% 198.12/198.40 [5605]~P110(x56051)+E(f337(f337(f82(x56051),x56052),f337(f337(f262(x56051),x56052),x56053)),f337(f337(f262(x56051),x56052),f337(a115,x56053)))
% 198.12/198.40 [5615]~P75(x56151)+E(f337(f337(f81(x56151),f337(f80(x56151),x56152)),f337(f337(f81(x56151),x56152),x56153)),x56153)
% 198.12/198.40 [5638]~P142(x56381)+E(f337(f337(f262(x56381),f337(f103(x56381),x56382)),x56383),f337(f103(x56381),f337(f337(f262(a884),x56382),x56383)))
% 198.12/198.40 [5639]~P138(x56391)+E(f337(f337(f262(x56391),f337(f105(x56391),x56392)),x56393),f337(f105(x56391),f337(f337(f262(a1),x56392),x56393)))
% 198.12/198.40 [5645]~P85(x56451)+E(f337(f76(x56451),f337(f337(f22(x56451),x56452),x56453)),f337(f76(x56451),f337(f337(f22(x56451),x56453),x56452)))
% 198.12/198.40 [5647]~P116(x56471)+E(f337(f337(f82(x56471),f83(x56471,x56472)),f83(x56471,x56473)),f83(x56471,f337(f337(f82(x56471),x56472),x56473)))
% 198.12/198.40 [5651]E(x56511,f116(x56512))+E(f337(f337(f136(x56512),f337(f174(x56512),x56511)),x56513),f337(f174(x56512),f337(f337(f136(x56512),x56511),x56513)))
% 198.12/198.40 [5656]~E(x56562,f337(a115,f337(f337(f81(a884),x56561),x56563)))+P24(f337(f337(f252(a884),x56561),x56562))
% 198.12/198.40 [5657]~P108(x56571)+E(f337(f337(f82(x56571),f337(f80(x56571),x56572)),x56573),f337(f80(x56571),f337(f337(f82(x56571),x56572),x56573)))
% 198.12/198.40 [5658]~P118(x56581)+E(f337(f337(f295(x56581),f337(f80(x56581),x56582)),x56583),f337(f80(x56581),f337(f337(f295(x56581),x56582),x56583)))
% 198.12/198.40 [5659]~P116(x56591)+E(f337(f337(f262(x56591),f337(f76(x56591),x56592)),x56593),f337(f76(x56591),f337(f337(f262(x56591),x56592),x56593)))
% 198.12/198.40 [5757]E(f651(x57571,x57572,x57573),f683(x57571,x57572,x57573))+E(f337(f337(f104(f893(x57573,a878)),x57572),x57571),f197(f893(x57573,a878)))
% 198.12/198.40 [5772]~P70(x57722)+E(f337(f337(f6(x57721,x57722),f337(f16(x57722,x57721),f2(x57722))),x57723),f2(x57722))
% 198.12/198.40 [5773]~P74(x57732)+E(f337(f337(f9(x57731,x57732),f337(f16(x57732,x57731),f79(x57732))),x57733),f79(x57732))
% 198.12/198.40 [5775]~P142(x57751)+E(f337(f337(f82(x57751),f337(f103(x57751),x57752)),f337(f103(x57751),x57753)),f337(f103(x57751),f337(f337(f82(a884),x57752),x57753)))
% 198.12/198.40 [5776]~P142(x57761)+E(f337(f337(f81(x57761),f337(f103(x57761),x57762)),f337(f103(x57761),x57763)),f337(f103(x57761),f337(f337(f81(a884),x57762),x57763)))
% 198.12/198.40 [5777]~P138(x57771)+E(f337(f337(f22(x57771),f337(f105(x57771),x57772)),f337(f105(x57771),x57773)),f337(f105(x57771),f337(f337(f22(a1),x57772),x57773)))
% 198.12/198.40 [5778]~P138(x57781)+E(f337(f337(f82(x57781),f337(f105(x57781),x57782)),f337(f105(x57781),x57783)),f337(f105(x57781),f337(f337(f82(a1),x57782),x57783)))
% 198.12/198.40 [5779]~P138(x57791)+E(f337(f337(f81(x57791),f337(f105(x57791),x57792)),f337(f105(x57791),x57793)),f337(f105(x57791),f337(f337(f81(a1),x57792),x57793)))
% 198.12/198.40 [5780]~P93(x57801)+E(f337(f337(f22(x57801),f337(f106(x57801),x57802)),f337(f106(x57801),x57803)),f337(f106(x57801),f337(f337(f22(a1),x57802),x57803)))
% 198.12/198.40 [5783]~P93(x57831)+E(f337(f337(f82(x57831),f337(f106(x57831),x57832)),f337(f106(x57831),x57833)),f337(f106(x57831),f337(f337(f82(a1),x57832),x57833)))
% 198.12/198.40 [5784]~P93(x57841)+E(f337(f337(f81(x57841),f337(f106(x57841),x57842)),f337(f106(x57841),x57843)),f337(f106(x57841),f337(f337(f81(a1),x57842),x57843)))
% 198.12/198.40 [5833]~E(x58333,x58332)+P24(f337(f337(f251(f893(x58331,a878)),x58332),x58333))
% 198.12/198.40 [5839]~E(x58392,x58393)+P24(f337(f337(f251(f893(x58391,a878)),x58392),x58393))
% 198.12/198.40 [5844]~P86(x58441)+E(f337(f337(f104(x58441),f337(f80(x58441),x58442)),f337(f80(x58441),x58443)),f337(f80(x58441),f337(f337(f113(x58441),x58442),x58443)))
% 198.12/198.40 [5845]~P86(x58451)+E(f337(f337(f113(x58451),f337(f80(x58451),x58452)),f337(f80(x58451),x58453)),f337(f80(x58451),f337(f337(f104(x58451),x58452),x58453)))
% 198.12/198.40 [5846]~P75(x58461)+E(f337(f337(f81(x58461),f337(f80(x58461),x58462)),f337(f80(x58461),x58463)),f337(f80(x58461),f337(f337(f81(x58461),x58463),x58462)))
% 198.12/198.40 [5847]~P67(x58471)+E(f337(f337(f81(x58471),f337(f80(x58471),x58472)),f337(f80(x58471),x58473)),f337(f80(x58471),f337(f337(f81(x58471),x58472),x58473)))
% 198.12/198.40 [5848]~P76(x58481)+E(f337(f337(f250(x58481),f337(f80(x58481),x58482)),f337(f80(x58481),x58483)),f337(f80(x58481),f337(f337(f249(x58481),x58482),x58483)))
% 198.12/198.40 [5849]~P76(x58491)+E(f337(f337(f249(x58491),f337(f80(x58491),x58492)),f337(f80(x58491),x58493)),f337(f80(x58491),f337(f337(f250(x58491),x58492),x58493)))
% 198.12/198.40 [5850]~P116(x58501)+E(f337(f337(f82(x58501),f337(f76(x58501),x58502)),f337(f76(x58501),x58503)),f337(f76(x58501),f337(f337(f82(x58501),x58502),x58503)))
% 198.12/198.40 [5851]~P60(x58511)+E(f337(f337(f295(x58511),f337(f76(x58511),x58512)),f337(f76(x58511),x58513)),f337(f76(x58511),f337(f337(f295(x58511),x58512),x58513)))
% 198.12/198.40 [5852]~P81(x58521)+E(f337(f337(f81(x58521),f337(f168(x58521),x58522)),f337(f168(x58521),x58523)),f337(f168(x58521),f337(f337(f136(x58521),x58522),x58523)))
% 198.12/198.40 [5853]E(x58531,f197(f893(x58532,a878)))+~E(f337(f337(f113(f893(x58532,a878)),x58533),x58531),f197(f893(x58532,a878)))
% 198.12/198.40 [5854]E(x58541,f197(f893(x58542,a878)))+~E(f337(f337(f113(f893(x58542,a878)),x58541),x58543),f197(f893(x58542,a878)))
% 198.12/198.40 [5855]~P145(x58551,x58553,x58552)+P24(f337(x58551,f337(f337(f39(a1),x58552),x58553)))
% 198.12/198.40 [5906]~P24(f337(f62(x59061),x59063))+P24(f337(f62(x59061),f337(f337(f315(x59061),x59062),x59063)))
% 198.12/198.40 [5907]~P24(f337(f139(x59071),x59073))+P24(f337(f139(x59071),f337(f337(f178(x59071),x59072),x59073)))
% 198.12/198.40 [5908]~P24(f337(f139(x59081),x59083))+P24(f337(f139(x59081),f337(f337(f140(x59081),x59082),x59083)))
% 198.12/198.40 [5937]~P64(x59371)+P24(f337(f337(f251(x59371),x59372),f337(f337(f113(x59371),x59373),x59372)))
% 198.12/198.40 [5938]~P100(x59381)+P24(f337(f337(f251(x59381),x59382),f337(f337(f113(x59381),x59383),x59382)))
% 198.12/198.40 [5939]~P64(x59391)+P24(f337(f337(f251(x59391),x59392),f337(f337(f113(x59391),x59392),x59393)))
% 198.12/198.40 [5940]~P100(x59401)+P24(f337(f337(f251(x59401),x59402),f337(f337(f113(x59401),x59402),x59403)))
% 198.12/198.40 [5941]~P105(x59411)+P24(f337(f337(f251(x59411),x59412),f337(f337(f250(x59411),x59413),x59412)))
% 198.12/198.40 [5942]~P105(x59421)+P24(f337(f337(f251(x59421),x59422),f337(f337(f250(x59421),x59422),x59423)))
% 198.12/198.40 [5956]~E(x59561,f2(a884))+E(f337(f337(f39(a884),f337(f337(f82(a884),x59561),x59562)),f337(f337(f82(a884),x59561),x59563)),f2(a884))
% 198.12/198.40 [6037]~P93(x60371)+E(f337(f337(f22(x60371),f337(f106(x60371),x60372)),f337(f106(x60371),x60373)),f337(f106(x60371),f337(f337(f81(a1),x60372),f337(f80(a1),x60373))))
% 198.12/198.41 [6092]E(x60921,f2(a884))+E(f337(f337(f39(a884),f337(f337(f82(a884),x60921),x60922)),f337(f337(f82(a884),x60921),x60923)),f337(f337(f39(a884),x60922),x60923))
% 198.12/198.41 [6126]E(f154(x61261,f337(f337(f153(x61261),x61262),x61263)),f337(f337(f153(x61261),x61262),f154(x61261,x61263)))+P24(f337(f337(f339(x61261),x61262),f337(f175(x61261),x61263)))
% 198.12/198.41 [6160]P145(x61601,x61602,x61603)+~P24(f337(x61601,f337(f337(f39(a1),x61603),x61602)))
% 198.12/198.41 [6237]E(x62371,f116(x62372))+E(f337(f337(f153(x62372),f337(f143(x62372),x62371)),f337(f337(f178(x62372),x62373),f337(f174(x62372),x62371))),f337(f337(f178(x62372),f337(a115,x62373)),x62371))
% 198.12/198.41 [6244]E(f337(f337(f22(f893(x62441,a878)),x62442),x62443),x62442)+~E(f337(f337(f104(f893(x62441,a878)),x62442),x62443),f197(f893(x62441,a878)))
% 198.12/198.41 [6258]E(f154(x62581,f337(f337(f153(x62581),x62582),x62583)),f154(x62581,x62583))+~P24(f337(f337(f339(x62581),x62582),f337(f175(x62581),x62583)))
% 198.12/198.41 [6290]~P24(f337(f337(f251(a884),x62901),x62903))+P24(f337(f337(f251(a884),x62901),f337(f337(f81(a884),x62902),x62903)))
% 198.12/198.41 [6292]~P24(f337(f337(f251(a884),x62921),x62922))+P24(f337(f337(f251(a884),x62921),f337(f337(f81(a884),x62922),x62923)))
% 198.12/198.41 [6294]~P24(f337(f337(f252(a884),x62941),x62943))+P24(f337(f337(f252(a884),x62941),f337(f337(f81(a884),x62942),x62943)))
% 198.12/198.41 [6296]~P24(f337(f337(f252(a884),x62961),x62962))+P24(f337(f337(f252(a884),x62961),f337(f337(f81(a884),x62962),x62963)))
% 198.12/198.41 [6334]P24(f337(f62(x63341),x63342))+~P24(f337(f62(x63341),f337(f337(f315(x63341),x63343),x63342)))
% 198.12/198.41 [6335]P24(f337(f139(x63351),x63352))+~P24(f337(f139(x63351),f337(f337(f153(x63351),x63353),x63352)))
% 198.12/198.41 [6336]P24(f337(f139(x63361),x63362))+~P24(f337(f139(x63361),f337(f337(f136(x63361),x63363),x63362)))
% 198.12/198.41 [6337]P24(f337(f139(x63371),x63372))+~P24(f337(f139(x63371),f337(f337(f136(x63371),x63372),x63373)))
% 198.12/198.41 [6383]~P110(x63831)+E(f337(f337(f81(x63831),x63832),f337(f337(f82(x63831),x63833),x63832)),f337(f337(f82(x63831),f337(f337(f81(x63831),x63833),f79(x63831))),x63832))
% 198.12/198.41 [6430]~E(x64301,x64302)+~P24(f337(f337(f252(f893(x64303,a878)),x64301),x64302))
% 198.12/198.41 [6474]P24(f337(f337(f339(x64741),x64742),x64743))+P24(f337(f337(f339(x64741),x64742),f337(f80(f893(x64741,a878)),x64743)))
% 198.12/198.41 [6480]E(f146(x64801,f337(f337(f140(x64801),x64802),x64803)),f146(x64801,x64803))+~P24(f337(f337(f252(a884),x64802),f337(f198(f885(x64801)),x64803)))
% 198.12/198.41 [6481]E(f337(f337(f178(x64811),x64812),f117(x64811,x64813)),f337(f337(f178(x64811),x64812),x64813))+~P24(f337(f337(f252(a884),x64812),f337(f198(f885(x64811)),x64813)))
% 198.12/198.41 [6537]E(f337(f337(f337(f192(f885(x65371),f885(x65371)),x65372),f170(x65371)),x65373),x65373)+~E(f45(a884,x65372,f337(f198(f885(x65371)),x65373)),f2(a884))
% 198.12/198.41 [6544]~P6(x65441,x65443,x65442)+E(f337(f337(f294(x65441,x65441,x65441),f337(f292(x65441,x65441),x65442)),x65442),x65442)
% 198.12/198.41 [6588]~E(f337(f337(f113(f893(x65881,a878)),x65882),x65883),x65883)+P24(f337(f337(f251(f893(x65881,a878)),x65882),x65883))
% 198.12/198.41 [6593]~P51(x65931,x65931,x65933)+P51(x65931,x65931,f337(f337(f192(f892(x65931,x65931),a878),x65932),x65933))
% 198.12/198.41 [6596]~P24(f337(f337(f339(x65961),x65963),f337(f175(x65961),x65962)))+P24(f337(f337(f252(a884),f2(a884)),f337(f198(f885(x65961)),x65962)))
% 198.12/198.41 [6622]~P85(x66221)+E(f337(f76(x66221),f337(f337(f81(x66221),f337(f76(x66221),x66222)),f337(f76(x66221),x66223))),f337(f337(f81(x66221),f337(f76(x66221),x66222)),f337(f76(x66221),x66223)))
% 198.12/198.41 [6632]E(f337(f337(f39(a884),f337(f337(f82(a884),x66321),x66322)),f337(f337(f82(a884),x66321),x66323)),f337(f337(f39(a884),x66322),x66323))+~P24(f337(f337(f252(a884),f2(a884)),x66321))
% 198.12/198.41 [6768]~P24(f337(f62(x67681),x67683))+E(f337(f337(f65(x67681,f893(x67681,a878),f315(x67681)),x67682),x67683),f337(f337(f113(f893(x67681,a878)),x67683),x67682))
% 198.12/198.41 [6827]E(f337(f337(f113(f893(x68271,a878)),x68272),x68273),x68272)+~P24(f337(f337(f251(f893(x68271,a878)),x68273),x68272))
% 198.12/198.41 [6829]E(f337(f337(f113(f893(x68291,a878)),x68292),x68293),x68293)+~P24(f337(f337(f251(f893(x68291,a878)),x68292),x68293))
% 198.12/198.41 [6830]E(f337(f337(f104(f893(x68301,a878)),x68302),x68303),x68303)+~P24(f337(f337(f251(f893(x68301,a878)),x68303),x68302))
% 198.12/198.41 [6831]E(f337(f337(f104(f893(x68311,a878)),x68312),x68313),x68312)+~P24(f337(f337(f251(f893(x68311,a878)),x68312),x68313))
% 198.12/198.41 [6883]~P24(f337(f139(x68831),x68832))+E(f337(f337(f22(f893(x68831,a878)),f337(f175(x68831),x68832)),f337(f337(f315(x68831),x68833),f197(f893(x68831,a878)))),f337(f175(x68831),f173(x68831,x68833,x68832)))
% 198.12/198.41 [6936]P39(x69361,x69362)+~P39(x69361,f337(f337(f192(f892(x69361,x69361),a878),x69363),x69362))
% 198.12/198.41 [7000]P24(f337(f49(x70001,x70002),f337(a51,x70003)))+~P24(f337(f49(f337(f80(a1),x70001),f337(f80(a1),x70002)),x70003))
% 198.12/198.41 [7005]E(f337(f337(f22(f893(x70051,a878)),f337(f337(f315(x70051),x70052),x70053)),f337(f337(f315(x70051),x70052),f197(f893(x70051,a878)))),x70053)+P24(f337(f337(f339(x70051),x70052),x70053))
% 198.12/198.41 [7026]E(f337(f337(f104(f893(x70261,a878)),f337(f175(x70261),x70262)),f337(f175(x70261),x70263)),f197(f893(x70261,a878)))+~P24(f337(f139(x70261),f337(f337(f136(x70261),x70262),x70263)))
% 198.12/198.41 [7042]~P24(f337(f337(f339(x70421),x70422),f337(f175(x70421),x70423)))+~P24(f337(f139(x70421),f337(f337(f153(x70421),x70422),x70423)))
% 198.12/198.41 [7114]P33(x71141,x71142,x71143)+P24(f337(f337(f252(a884),f784(x71143,x71142,x71141)),f337(f198(f885(x71141)),x71143)))
% 198.12/198.41 [7124]E(f337(f337(f104(f893(x71241,a878)),x71242),x71243),f197(f893(x71241,a878)))+P24(f337(f337(f339(x71241),f651(x71243,x71242,x71241)),x71242))
% 198.12/198.41 [7125]E(f337(f337(f104(f893(x71251,a878)),x71252),x71253),f197(f893(x71251,a878)))+P24(f337(f337(f339(x71251),f683(x71253,x71252,x71251)),x71253))
% 198.12/198.41 [7129]E(f117(x71291,f337(f337(f178(x71291),x71292),x71293)),f337(f337(f178(x71291),f337(f337(f22(a884),x71292),f79(a884))),x71293))+~P24(f337(f337(f251(a884),x71292),f337(f198(f885(x71291)),x71293)))
% 198.12/198.41 [7188]~P35(x71883,x71882,x71881)+P24(f337(f337(f252(a884),f782(x71881,x71882,x71883)),f337(f198(f885(x71883)),x71881)))
% 198.12/198.41 [7206]P24(f337(f337(f252(a884),f2(a884)),x72061))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x72062),x72061)),f337(f337(f82(a884),x72063),x72061)))
% 198.12/198.41 [7207]P24(f337(f337(f252(a884),f2(a884)),x72071))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x72071),x72072)),f337(f337(f82(a884),x72071),x72073)))
% 198.12/198.41 [7210]~P24(f337(f337(f339(x72101),x72102),x72103))+~P24(f337(f337(f339(x72101),x72102),f337(f80(f893(x72101,a878)),x72103)))
% 198.12/198.41 [7217]~P24(f337(f337(f252(f893(x72171,a878)),x72172),x72173))+P24(f337(f337(f251(f893(x72171,a878)),x72172),x72173))
% 198.12/198.41 [7320]~P24(f337(f337(f251(a884),x73203),x73202))+P24(f337(f337(f251(a884),f337(f337(f22(a884),x73201),x73202)),f337(f337(f22(a884),x73201),x73203)))
% 198.12/198.41 [7321]~P24(f337(f337(f251(a884),x73211),x73213))+P24(f337(f337(f251(a884),f337(f337(f22(a884),x73211),x73212)),f337(f337(f22(a884),x73213),x73212)))
% 198.12/198.41 [7323]~P24(f337(f337(f251(a884),x73232),x73233))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x73231),x73232)),f337(f337(f82(a884),x73231),x73233)))
% 198.12/198.41 [7325]~P24(f337(f337(f251(a884),x73251),x73253))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x73251),x73252)),f337(f337(f82(a884),x73253),x73252)))
% 198.12/198.41 [7326]~P24(f337(f337(f251(a884),x73262),x73263))+P24(f337(f337(f251(a884),f337(f337(f81(a884),x73261),x73262)),f337(f337(f81(a884),x73261),x73263)))
% 198.12/198.41 [7327]~P24(f337(f337(f251(a884),x73271),x73273))+P24(f337(f337(f251(a884),f337(f337(f81(a884),x73271),x73272)),f337(f337(f81(a884),x73273),x73272)))
% 198.12/198.41 [7328]~P24(f337(f337(f251(a884),x73281),x73283))+P24(f337(f337(f251(a884),f337(f337(f39(a884),x73281),x73282)),f337(f337(f39(a884),x73283),x73282)))
% 198.12/198.41 [7329]~P24(f337(f337(f251(a1),x73292),x73293))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x73291),x73292)),f337(f337(f81(a1),x73291),x73293)))
% 198.12/198.41 [7332]~P24(f337(f337(f252(a884),x73322),x73323))+P24(f337(f337(f252(a884),f337(f337(f81(a884),x73321),x73322)),f337(f337(f81(a884),x73321),x73323)))
% 198.12/198.41 [7333]~P24(f337(f337(f252(a884),x73331),x73333))+P24(f337(f337(f252(a884),f337(f337(f81(a884),x73331),x73332)),f337(f337(f81(a884),x73333),x73332)))
% 198.12/198.41 [7334]~P24(f337(f337(f252(a1),x73341),x73343))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x73341),x73342)),f337(f337(f81(a1),x73343),x73342)))
% 198.12/198.41 [7412]E(x74121,x74122)+~P24(f337(f337(f339(x74123),x74121),f337(f337(f315(x74123),x74122),f197(f893(x74123,a878)))))
% 198.12/198.41 [7414]~E(f337(f337(f104(f893(x74141,a878)),x74142),x74143),f197(f893(x74141,a878)))+P24(f337(f337(f251(f893(x74141,a878)),x74142),f337(f80(f893(x74141,a878)),x74143)))
% 198.12/198.41 [7421]P24(f337(f337(f339(f893(x74211,a878)),x74212),f337(f314(x74211),x74213)))+~P24(f337(f337(f251(f893(x74211,a878)),x74212),x74213))
% 198.12/198.41 [7475]E(f337(f337(f153(x74751),f337(f337(f167(x74751),x74752),x74753)),f337(f337(f140(x74751),f337(a115,x74753)),x74752)),f337(f337(f140(x74751),x74753),x74752))+~P24(f337(f337(f252(a884),x74753),f337(f198(f885(x74751)),x74752)))
% 198.12/198.41 [7502]P24(f337(f337(f339(f892(x75021,x75021)),x75022),f313(x75021,x75023)))+~P24(f337(f337(f339(f892(x75021,x75021)),x75022),x75023))
% 198.12/198.41 [7512]~P24(f337(f337(f339(f893(x75121,a878)),x75122),f337(f314(x75121),x75123)))+P24(f337(f337(f251(f893(x75121,a878)),x75122),x75123))
% 198.12/198.41 [7558]P24(f337(f337(f251(f893(x75581,a878)),x75582),f40(f893(x75581,a878),x75583)))+~P24(f337(f337(f339(f893(x75581,a878)),x75582),x75583))
% 198.12/198.41 [7583]~P138(x75831)+E(f337(f337(f82(x75831),f337(f337(f262(x75831),f337(f80(x75831),f79(x75831))),x75832)),f337(f337(f262(x75831),x75833),x75832)),f337(f337(f262(x75831),f337(f80(x75831),x75833)),x75832))
% 198.12/198.41 [7605]E(f337(f337(f167(x76051),x76052),f337(f337(f22(a884),f337(f198(f885(x76051)),x76052)),f337(a115,x76053))),f337(f337(f167(x76051),f337(f171(x76051),x76052)),x76053))+~P24(f337(f337(f252(a884),x76053),f337(f198(f885(x76051)),x76052)))
% 198.12/198.41 [7622]~E(f337(f337(f104(f893(x76221,a878)),f607(x76223,x76222,x76221)),x76223),f197(f893(x76221,a878)))+E(f337(f337(f104(f893(x76221,a878)),f40(f893(x76221,a878),x76222)),x76223),f197(f893(x76221,a878)))
% 198.12/198.41 [7684]~P24(f337(f337(f339(x76843),x76842),f337(f175(x76843),x76841)))+P24(f337(f337(f252(a884),f690(x76841,x76842,x76843)),f337(f198(f885(x76843)),x76841)))
% 198.12/198.41 [7692]P24(f337(f337(f339(x76921),f337(f337(f167(x76921),x76922),x76923)),f337(f175(x76921),x76922)))+~P24(f337(f337(f252(a884),x76923),f337(f198(f885(x76921)),x76922)))
% 198.12/198.41 [7792]~P24(f337(x77922,f738(x77923,x77922,x77921)))+E(f337(f337(f140(x77921),f337(f198(f885(x77921)),f180(x77921,x77922,x77923))),x77923),f116(x77921))
% 198.12/198.41 [7803]P24(f337(f337(f251(f893(f885(x78031),a878)),f163(x78031,x78032)),f163(x78031,x78033)))+~P24(f337(f337(f251(f893(x78031,a878)),x78032),x78033))
% 198.12/198.41 [7804]P24(f337(f337(f251(f893(f885(x78041),a878)),f162(x78041,x78042)),f162(x78041,x78043)))+~P24(f337(f337(f251(f893(x78041,a878)),x78042),x78043))
% 198.12/198.41 [7831]E(f337(f337(f104(f893(x78311,a878)),f40(f893(x78311,a878),x78312)),x78313),f197(f893(x78311,a878)))+P24(f337(f337(f339(f893(x78311,a878)),f607(x78313,x78312,x78311)),x78312))
% 198.12/198.41 [7834]~P24(f337(f337(f339(f893(x78341,a878)),x78343),x78342))+P24(f337(f337(f251(f893(x78341,a878)),f41(f893(x78341,a878),x78342)),x78343))
% 198.12/198.41 [7836]E(f337(f337(f104(f893(x78361,a878)),x78362),x78363),f197(f893(x78361,a878)))+~P24(f337(f337(f251(f893(x78361,a878)),x78362),f337(f80(f893(x78361,a878)),x78363)))
% 198.12/198.41 [7882]E(f337(f337(f22(a884),f337(f337(f81(a884),f337(f168(a884),x78821)),x78822)),f337(f337(f167(a884),x78821),x78823)),f337(f168(a884),f337(f337(f161(a884,x78821),x78823),x78822)))+~P24(f337(f337(f252(a884),x78823),f337(f198(f885(a884)),x78821)))
% 198.12/198.41 [7932]P24(f337(f337(f251(a884),x79321),x79322))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),x79323),x79321)),f337(f337(f81(a884),x79323),x79322)))
% 198.12/198.41 [7935]P24(f337(f337(f252(a884),x79351),x79352))+~P24(f337(f337(f252(a884),f337(f337(f81(a884),x79353),x79351)),f337(f337(f81(a884),x79353),x79352)))
% 198.12/198.41 [7936]P24(f337(f337(f252(a884),x79361),x79362))+~P24(f337(f337(f252(a884),f337(f337(f82(a884),x79363),x79361)),f337(f337(f82(a884),x79363),x79362)))
% 198.12/198.41 [7937]P24(f337(f337(f252(a884),x79371),x79372))+~P24(f337(f337(f252(a884),f337(f337(f82(a884),x79371),x79373)),f337(f337(f82(a884),x79372),x79373)))
% 198.12/198.41 [7966]P24(f337(f337(f252(a884),f2(a884)),x79661))+~P24(f337(f337(f252(a884),f337(f337(f82(a884),x79662),x79661)),f337(f337(f82(a884),x79663),x79661)))
% 198.12/198.41 [7967]P24(f337(f337(f252(a884),f2(a884)),x79671))+~P24(f337(f337(f252(a884),f337(f337(f82(a884),x79671),x79672)),f337(f337(f82(a884),x79671),x79673)))
% 198.12/198.41 [8042]E(f264(x80421,x80422,x80423),x80422)+~P24(f337(f337(f251(f893(x80421,a878)),x80423),f337(f337(f315(x80421),x80422),f197(f893(x80421,a878)))))
% 198.12/198.41 [8092]~P24(f337(f139(x80921),x80923))+E(f337(f138(x80921,f337(f337(f8(a878,a878,x80921),a332),f337(a334,x80922))),x80923),f173(x80921,x80922,x80923))
% 198.12/198.41 [8115]E(f337(f337(f140(x81151),f337(f198(f885(x81151)),f180(x81151,x81152,x81153))),x81153),f116(x81151))+P24(f337(f337(f339(x81151),f738(x81153,x81152,x81151)),f337(f175(x81151),x81153)))
% 198.12/198.41 [8119]E(f337(f337(f136(x81191),f337(f337(f178(x81191),x81192),x81193)),f337(f337(f153(x81191),f337(f337(f167(x81191),x81193),x81192)),f116(x81191))),f337(f337(f178(x81191),f337(a115,x81192)),x81193))+~P24(f337(f337(f252(a884),x81192),f337(f198(f885(x81191)),x81193)))
% 198.12/198.41 [8180]E(f337(f138(x81801,f337(f337(f8(a878,a878,x81801),a332),f337(a334,x81802))),x81803),x81803)+P24(f337(f337(f339(x81801),x81802),f337(f175(x81801),x81803)))
% 198.12/198.41 [8187]P24(f337(f337(f251(f893(f893(x81871,a878),a878)),f265(x81871,x81872)),f265(x81871,x81873)))+~P24(f337(f337(f251(f893(x81871,a878)),x81872),x81873))
% 198.12/198.41 [8231]~P24(f337(f139(x82311),x82313))+P24(f337(f139(x82311),f337(f337(f337(f192(f885(x82311),f885(x82311)),x82312),f170(x82311)),x82313)))
% 198.12/198.41 [8237]~P24(f337(f337(f252(a884),x82372),x82373))+P24(f337(f337(f252(a884),f337(f337(f82(a884),f337(a115,x82371)),x82372)),f337(f337(f82(a884),f337(a115,x82371)),x82373)))
% 198.12/198.41 [8259]P24(f337(f337(f251(f893(f893(x82591,a878),a878)),f337(f314(x82591),x82592)),f337(f314(x82591),x82593)))+~P24(f337(f337(f251(f893(x82591,a878)),x82592),x82593))
% 198.12/198.41 [8420]~P24(f337(f337(f251(f893(x84201,a878)),x84203),x84202))+P24(f337(f337(f251(f893(x84201,a878)),f337(f80(f893(x84201,a878)),x84202)),f337(f80(f893(x84201,a878)),x84203)))
% 198.12/198.41 [8450]E(f337(f316(a884,a884,f337(f337(f7(a884,a884,a884),f22(a884)),x84501)),f337(f307(a884,x84502),x84503)),f337(f307(a884,f337(f337(f22(a884),x84502),x84501)),f337(f337(f22(a884),x84503),x84501)))+~P24(f337(f337(f252(a884),x84501),x84503))
% 198.12/198.41 [8477]~P81(x84771)+E(f337(f337(f81(x84771),x84772),f337(f144(x84771,x84771,f81(x84771),f2(x84771)),x84773)),f337(f144(x84771,x84771,f81(x84771),x84772),x84773))
% 198.12/198.41 [8550]~P85(x85501)+P24(f337(f337(f251(x85501),f337(f76(x85501),f337(f337(f22(x85501),x85502),x85503))),f337(f337(f81(x85501),f337(f76(x85501),x85502)),f337(f76(x85501),x85503))))
% 198.12/198.41 [8551]~P85(x85511)+P24(f337(f337(f251(x85511),f337(f76(x85511),f337(f337(f81(x85511),x85512),x85513))),f337(f337(f81(x85511),f337(f76(x85511),x85512)),f337(f76(x85511),x85513))))
% 198.12/198.41 [8561]E(f337(f337(f81(a1),f337(f337(f82(a1),x85611),f45(a1,f337(f337(f39(a1),x85612),x85611),x85613))),f45(a1,x85612,x85611)),f45(a1,x85612,f337(f337(f82(a1),x85611),x85613)))+~P24(f337(f337(f252(a1),f2(a1)),x85613))
% 198.12/198.41 [8567]E(f337(f337(f136(x85671),f337(f337(f178(x85671),x85672),x85673)),f337(f337(f153(x85671),f337(f143(x85671),f337(f337(f140(x85671),x85672),x85673))),f116(x85671))),f337(f337(f178(x85671),f337(a115,x85672)),x85673))+~P24(f337(f337(f252(a884),x85672),f337(f198(f885(x85671)),x85673)))
% 198.12/198.41 [8586]E(f337(f283(x85861,f337(f337(f156(x85861,f892(a102,x85861)),f337(f272(a102,x85861),f79(a102))),x85862)),f337(a3,x85863)),f337(f337(f167(x85861),x85862),x85863))+~P24(f337(f337(f252(a884),x85863),f337(f198(f885(x85861)),x85862)))
% 198.12/198.41 [8651]P24(f337(f337(f339(f892(x86511,x86511)),x86512),f337(f337(f294(x86511,x86511,x86511),x86513),f313(x86511,x86513))))+~P24(f337(f337(f339(f892(x86511,x86511)),x86512),x86513))
% 198.12/198.41 [8668]P24(f337(f337(f251(a884),x86681),x86682))+~P24(f337(f337(f251(a884),f337(f337(f82(a884),f337(a115,x86683)),x86681)),f337(f337(f82(a884),f337(a115,x86683)),x86682)))
% 198.12/198.41 [8684]P24(f337(f337(f251(f893(x86841,a878)),x86842),x86843))+~P24(f337(f337(f251(f893(x86841,a878)),f337(f80(f893(x86841,a878)),x86843)),f337(f80(f893(x86841,a878)),x86842)))
% 198.12/198.41 [8703]P24(f337(f139(x87031),x87032))+~P24(f337(f139(x87031),f337(f337(f337(f192(f885(x87031),f885(x87031)),x87033),f170(x87031)),x87032)))
% 198.12/198.41 [8763]E(f337(f316(f892(x87631,x87632),x87632,f275(x87631,x87632)),f337(f175(f892(x87631,x87632)),x87633)),f189(x87631,x87632,f337(f181(x87631,x87632),x87633)))+~P24(f337(f139(x87631),f337(f337(f156(f892(x87631,x87632),x87631),f271(x87631,x87632)),x87633)))
% 198.12/198.41 [8772]E(f337(f291(x87721,x87721,f313(x87721,x87722)),x87723),x87723)+~P24(f337(f337(f251(f893(x87721,a878)),f337(f291(x87721,x87721,x87722),x87723)),x87723))
% 198.12/198.41 [8814]~P105(x88141)+P30(x88141,f337(f138(x88141,f337(f337(f7(x88141,x88141,a878),a334),f337(x88142,x88143))),x88143))
% 198.12/198.41 [8820]~P24(f337(f337(f251(a884),x88201),x88202))+P24(f337(f337(f251(a884),x88201),f337(f144(a884,a884,f81(a884),x88202),x88203)))
% 198.12/198.41 [8897]~P24(f337(f337(f339(f892(x88971,x88971)),x88972),f313(x88971,x88973)))+P24(f337(f337(f339(f892(x88971,x88971)),x88972),f337(f337(f192(f892(x88971,x88971),a878),f593(x88973,x88972,x88971)),x88973)))
% 198.12/198.41 [8985]~P81(x89851)+E(f337(f337(f81(x89851),x89852),f337(f144(x89851,x89851,f337(f7(x89851,x89851,x89851),f81(x89851)),f2(x89851)),f337(f171(x89851),x89853))),f337(f144(x89851,x89851,f81(x89851),x89852),x89853))
% 198.12/198.41 [9249]P51(x92491,x92492,x92493)+P24(f337(f337(f339(f892(x92491,x92492)),f337(f337(f272(x92491,x92492),f598(x92493,x92492,x92491)),f591(x92493,x92492,x92491))),x92493))
% 198.12/198.41 [9250]P51(x92501,x92502,x92503)+P24(f337(f337(f339(f892(x92501,x92502)),f337(f337(f272(x92501,x92502),f598(x92503,x92502,x92501)),f590(x92503,x92502,x92501))),x92503))
% 198.12/198.41 [9314]~P24(f337(f337(f339(f892(x93141,x93141)),x93142),f337(f337(f294(x93141,x93141,x93141),x93143),f313(x93141,x93143))))+P24(f337(f337(f339(f892(x93141,x93141)),x93142),f337(f337(f192(f892(x93141,x93141),a878),f595(x93143,x93142,x93141)),x93143)))
% 198.12/198.41 [9315]~P24(f337(x93151,f337(f337(f167(x93152),x93153),f337(f198(f885(x93152)),f180(x93152,x93151,x93153)))))+~P24(f337(f337(f252(a884),f337(f198(f885(x93152)),f180(x93152,x93151,x93153))),f337(f198(f885(x93152)),x93153)))
% 198.12/198.41 [9403]~P24(f337(f337(f251(f893(x94031,a878)),x94032),x94033))+P24(f337(f337(f251(f893(x94031,a878)),f337(f337(f7(x94031,f893(x94031,a878),a878),f339(x94031)),x94032)),f337(f337(f7(x94031,f893(x94031,a878),a878),f339(x94031)),x94033)))
% 198.12/198.41 [9456]~P24(f337(f337(f339(f892(f893(x94561,a878),f893(x94561,a878))),f337(f337(f272(f893(x94561,a878),f893(x94561,a878)),x94562),x94563)),f312(x94561)))+P24(f337(f337(f252(f893(x94561,a878)),x94562),x94563))
% 198.12/198.41 [9482]P52(x94821,x94822,x94823)+~P24(f337(f337(f339(f892(x94821,x94821)),f337(f337(f272(x94821,x94821),f578(x94823,x94822,x94821)),f577(x94823,x94822,x94821))),x94823))
% 198.12/198.41 [9483]P52(x94831,x94832,x94833)+~P24(f337(f337(f339(f892(x94831,x94831)),f337(f337(f272(x94831,x94831),f577(x94833,x94832,x94831)),f578(x94833,x94832,x94831))),x94833))
% 198.12/198.41 [9520]~P24(f337(f337(f339(f892(f885(x95201),f885(x95201))),f337(f337(f272(f885(x95201),f885(x95201)),x95202),x95202)),f149(x95201,x95203)))+P24(f337(f337(f339(f892(x95201,x95201)),f337(f337(f272(x95201,x95201),f714(x95202,x95203,x95201)),f714(x95202,x95203,x95201))),x95203))
% 198.12/198.41 [9568]P24(f337(f337(f251(f893(x95681,a878)),x95682),x95683))+~P24(f337(f337(f251(f893(x95681,a878)),f337(f337(f7(x95681,f893(x95681,a878),a878),f339(x95681)),x95682)),f337(f337(f7(x95681,f893(x95681,a878),a878),f339(x95681)),x95683)))
% 198.12/198.41 [9649]E(f337(f337(f22(a884),f337(f337(f6(a884,a884),x96491),f337(f258(a884),x96492))),f337(f337(f6(a884,a884),x96493),f337(f258(a884),x96492))),f337(f337(f6(a884,a884),f337(f337(f18(a884,a884,a884),f337(f337(f8(a884,f893(a884,a884),a884),f22(a884)),x96491)),x96493)),f337(f258(a884),x96492)))+~P24(f337(f337(f251(a884),f337(x96493,f371(x96492,x96491,x96493))),f337(x96491,f371(x96492,x96491,x96493))))
% 198.12/198.41 [9952]E(f337(f257(f892(x99521,x99522)),f337(f276(x99521,x99522,a878),f337(f337(f7(x99521,f893(x99522,f887(x99522)),f893(x99522,a878)),f337(f337(f8(f893(f887(x99522),a878),f893(f893(x99522,f887(x99522)),f893(x99522,a878)),x99521),f8(f887(x99522),a878,x99522)),f337(f337(f8(f887(x99522),f893(f887(x99522),a878),x99521),a334),f337(f181(x99521,x99522),x99523)))),f209(x99522)))),f337(f175(f892(x99521,x99522)),x99523))+~P24(f337(f139(x99521),f337(f337(f156(f892(x99521,x99522),x99521),f271(x99521,x99522)),x99523)))
% 198.12/198.41 [5691]~P75(x56911)+E(f337(f337(f22(x56911),f337(f337(f81(x56911),x56912),x56913)),x56913),x56912)
% 198.12/198.41 [5692]~P75(x56921)+E(f337(f337(f81(x56921),f337(f337(f22(x56921),x56922),x56923)),x56923),x56922)
% 198.12/198.41 [5914]~P75(x59141)+E(f337(f337(f81(x59141),x59142),f337(f337(f81(x59141),f337(f80(x59141),x59142)),x59143)),x59143)
% 198.12/198.41 [5999]~P80(x59991)+E(f337(f337(f82(x59991),f337(f337(f262(x59991),x59992),x59993)),x59992),f337(f337(f262(x59991),x59992),f337(a115,x59993)))
% 198.12/198.41 [6000]~P110(x60001)+E(f337(f337(f82(x60001),f337(f337(f262(x60001),x60002),x60003)),x60002),f337(f337(f262(x60001),x60002),f337(a115,x60003)))
% 198.12/198.41 [6212]~P116(x62121)+E(f337(f76(x62121),f337(f337(f262(x62121),f337(f80(x62121),x62122)),x62123)),f337(f76(x62121),f337(f337(f262(x62121),x62122),x62123)))
% 198.12/198.41 [6267]~P80(x62671)+E(f337(f337(f82(x62671),f337(f337(f262(x62671),x62672),x62673)),x62672),f337(f337(f82(x62671),x62672),f337(f337(f262(x62671),x62672),x62673)))
% 198.12/198.41 [6325]E(f337(f337(f22(a102),f337(f337(f81(a102),x63251),x63252)),x63253),f287(x63251,x63252,x63253))+~P24(f337(f337(f252(a102),x63252),x63253))
% 198.12/198.41 [6346]~E(f337(f337(f140(x63461),x63463),x63462),f116(x63461))+P24(f337(f337(f251(a884),f337(f198(f885(x63461)),x63462)),x63463))
% 198.12/198.41 [6479]E(f337(f337(f82(a884),f337(f106(a884),x64791)),f337(f337(f82(a884),f337(f106(a884),x64792)),x64793)),f2(a884))+~P24(f337(f337(f252(a1),x64791),a84))
% 198.12/198.41 [6496]~P58(x64961)+E(f337(f337(f262(x64961),f337(f337(f295(x64961),f79(x64961)),x64962)),x64963),f337(f337(f295(x64961),f79(x64961)),f337(f337(f262(x64961),x64962),x64963)))
% 198.12/198.41 [6575]E(f337(f337(f22(a884),f337(f337(f81(a884),x65751),x65752)),x65753),f337(f337(f22(a884),x65751),f337(f337(f22(a884),x65753),x65752)))+~P24(f337(f337(f251(a884),x65752),x65753))
% 198.12/198.41 [6577]E(f337(f337(f22(a884),f337(f337(f81(a884),x65771),x65772)),x65773),f337(f337(f81(a884),x65771),f337(f337(f22(a884),x65772),x65773)))+~P24(f337(f337(f251(a884),x65773),x65772))
% 198.12/198.41 [6613]~P64(x66131)+P24(f337(f337(f251(x66131),f337(f337(f104(x66131),x66132),x66133)),x66133))
% 198.12/198.41 [6614]~P101(x66141)+P24(f337(f337(f251(x66141),f337(f337(f104(x66141),x66142),x66143)),x66143))
% 198.12/198.41 [6615]~P64(x66151)+P24(f337(f337(f251(x66151),f337(f337(f104(x66151),x66152),x66153)),x66152))
% 198.12/198.41 [6616]~P101(x66161)+P24(f337(f337(f251(x66161),f337(f337(f104(x66161),x66162),x66163)),x66162))
% 198.12/198.41 [6617]~P105(x66171)+P24(f337(f337(f251(x66171),f337(f337(f249(x66171),x66172),x66173)),x66173))
% 198.12/198.41 [6618]~P105(x66181)+P24(f337(f337(f251(x66181),f337(f337(f249(x66181),x66182),x66183)),x66182))
% 198.12/198.41 [6631]E(f337(f337(f39(a1),f337(f337(f39(a1),x66311),x66312)),x66313),f337(f337(f39(a1),x66311),f337(f337(f82(a1),x66312),x66313)))+~P24(f337(f337(f252(a1),f2(a1)),x66313))
% 198.12/198.41 [6682]~P110(x66821)+E(f337(f337(f81(x66821),f337(f337(f82(x66821),x66822),x66823)),x66823),f337(f337(f82(x66821),f337(f337(f81(x66821),x66822),f79(x66821))),x66823))
% 198.12/198.41 [6683]~P93(x66831)+E(f337(f337(f82(x66831),f337(f80(x66831),f337(f106(x66831),x66832))),x66833),f337(f337(f82(x66831),f337(f106(x66831),f337(f80(a1),x66832))),x66833))
% 198.12/198.41 [6755]~P81(x67551)+E(f337(f168(x67551),f337(f337(f156(x67552,x67551),f337(f16(x67551,x67552),f2(x67551))),x67553)),f2(x67551))
% 198.12/198.41 [6771]E(f337(f337(f81(a884),f337(f106(a884),x67711)),f337(f337(f81(a884),f337(f106(a884),x67712)),x67713)),f337(f337(f81(a884),f337(f106(a884),x67712)),x67713))+~P24(f337(a202,f337(f106(a1),x67711)))
% 198.12/198.41 [6785]~P28(x67851)+E(f41(x67851,f337(f337(f315(x67851),x67852),f337(f337(f315(x67851),x67853),f197(f893(x67851,a878))))),f337(f337(f104(x67851),x67852),x67853))
% 198.12/198.41 [6786]~P28(x67861)+E(f40(x67861,f337(f337(f315(x67861),x67862),f337(f337(f315(x67861),x67863),f197(f893(x67861,a878))))),f337(f337(f113(x67861),x67862),x67863))
% 198.12/198.41 [6809]E(f337(f337(f178(x68091),x68092),x68093),x68093)+~P24(f337(f337(f251(a884),f337(f198(f885(x68091)),x68093)),x68092))
% 198.12/198.41 [6822]E(f337(f337(f140(x68221),x68222),x68223),f116(x68221))+~P24(f337(f337(f251(a884),f337(f198(f885(x68221)),x68223)),x68222))
% 198.12/198.41 [6833]E(f337(f337(f81(a884),f337(f337(f22(a884),x68331),x68332)),x68333),f337(f337(f22(a884),f337(f337(f81(a884),x68331),x68333)),x68332))+~P24(f337(f337(f251(a884),x68332),x68331))
% 198.12/198.41 [6847]~P24(f337(f337(f252(a884),x68471),x68473))+P24(f337(f337(f252(a884),f337(f337(f22(a884),x68471),x68472)),x68473))
% 198.12/198.41 [6875]~P105(x68751)+E(f173(x68751,x68752,f337(f337(f150(x68751,x68751,f5(x68751)),x68752),x68753)),x68753)
% 198.12/198.41 [6964]E(f337(f337(f22(a884),f337(f337(f81(a884),x69641),x69642)),f337(a115,x69643)),f337(f337(f22(a884),x69641),f337(a115,f337(f337(f22(a884),x69643),x69642))))+~P24(f337(f337(f251(a884),x69642),x69643))
% 198.12/198.41 [6965]~P116(x69651)+P24(f337(f337(f251(x69651),f2(x69651)),f337(f337(f262(x69651),f337(f76(x69651),x69652)),x69653)))
% 198.12/198.41 [7010]P20(x70101,x70102,x70103)+~P24(f337(f337(f251(f893(f882(x70101),a878)),x70103),x70102))
% 198.12/198.41 [7053]~P24(f337(f62(x70531),x70532))+P24(f337(f62(x70531),f337(f337(f22(f893(x70531,a878)),x70532),x70533)))
% 198.12/198.41 [7054]~P24(f337(f62(x70541),x70543))+P24(f337(f62(x70541),f337(f337(f104(f893(x70541,a878)),x70542),x70543)))
% 198.12/198.41 [7055]~P24(f337(f62(x70551),x70552))+P24(f337(f62(x70551),f337(f337(f104(f893(x70551,a878)),x70552),x70553)))
% 198.12/198.41 [7196]~P39(x71961,x71963)+P39(x71961,f337(f337(f104(f893(f892(x71961,x71961),a878)),x71962),x71963))
% 198.12/198.41 [7197]~P39(x71971,x71972)+P39(x71971,f337(f337(f104(f893(f892(x71971,x71971),a878)),x71972),x71973))
% 198.12/198.41 [7316]~P64(x73161)+E(f13(x73161,f337(f175(x73161),f337(f337(f153(x73161),x73162),x73163))),f337(f144(x73161,x73161,f113(x73161),x73162),x73163))
% 198.12/198.41 [7317]~P64(x73171)+E(f10(x73171,f337(f175(x73171),f337(f337(f153(x73171),x73172),x73173))),f337(f144(x73171,x73171,f104(x73171),x73172),x73173))
% 198.12/198.41 [7318]~P105(x73181)+E(f14(x73181,f337(f175(x73181),f337(f337(f153(x73181),x73182),x73183))),f337(f144(x73181,x73181,f250(x73181),x73182),x73183))
% 198.12/198.41 [7319]~P105(x73191)+E(f15(x73191,f337(f175(x73191),f337(f337(f153(x73191),x73192),x73193))),f337(f144(x73191,x73191,f249(x73191),x73192),x73193))
% 198.12/198.41 [7379]~P24(f337(f62(x73791),x73792))+P24(f337(f337(f251(a884),f337(f38(x73791),x73792)),f337(f38(x73791),f337(f337(f315(x73791),x73793),x73792))))
% 198.12/198.41 [7387]E(f337(f337(f113(f893(a884,a878)),f337(f307(a884,x73871),x73872)),f337(f307(a884,x73872),f337(f337(f81(a884),x73872),x73873))),f337(f307(a884,x73871),f337(f337(f81(a884),x73872),x73873)))+~P24(f337(f337(f251(a884),x73871),x73872))
% 198.12/198.41 [7397]P24(f337(f337(f251(a884),x73971),x73972))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),x73973),x73971)),x73972))
% 198.12/198.41 [7398]P24(f337(f337(f251(a884),x73981),x73982))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),x73981),x73983)),x73982))
% 198.12/198.41 [7399]P24(f337(f337(f252(a884),x73991),x73992))+~P24(f337(f337(f252(a884),f337(f337(f81(a884),x73991),x73993)),x73992))
% 198.12/198.41 [7438]~P105(x74381)+E(f11(x74381,f250(x74381),f337(f175(x74381),f337(f337(f153(x74381),x74382),x74383))),f337(f144(x74381,x74381,f250(x74381),x74382),x74383))
% 198.12/198.41 [7439]~P105(x74391)+E(f12(x74391,f249(x74391),f337(f175(x74391),f337(f337(f153(x74391),x74392),x74393))),f337(f144(x74391,x74391,f249(x74391),x74392),x74393))
% 198.12/198.41 [7443]~E(x74432,f197(f893(f892(x74431,x74431),a878)))+P24(f337(f337(f251(f893(f892(x74431,x74431),a878)),x74432),x74433))
% 198.12/198.41 [7553]E(f337(f337(f113(f893(x75531,a878)),x75532),f337(f337(f22(f893(x75531,a878)),x75533),x75532)),x75533)+~P24(f337(f337(f251(f893(x75531,a878)),x75532),x75533))
% 198.12/198.41 [7554]~P24(f337(f337(f251(a884),x75541),f337(f337(f81(a884),x75543),x75542)))+P24(f337(f337(f251(a884),f337(f337(f22(a884),x75541),x75542)),x75543))
% 198.12/198.41 [7555]~P24(f337(f337(f252(a884),x75551),f337(f337(f22(a884),x75553),x75552)))+P24(f337(f337(f252(a884),f337(f337(f81(a884),x75551),x75552)),x75553))
% 198.12/198.41 [7612]E(x76121,f116(x76122))+E(f337(f143(x76122),f337(f337(f337(f192(f885(x76122),f885(x76122)),x76123),f170(x76122)),x76121)),f337(f337(f167(x76122),x76121),f45(a884,x76123,f337(f198(f885(x76122)),x76121))))
% 198.12/198.41 [7621]E(f337(f337(f315(x76211),x76212),f337(f337(f22(f893(x76211,a878)),x76213),f337(f337(f315(x76211),x76212),f197(f893(x76211,a878))))),x76213)+~P24(f337(f337(f339(x76211),x76212),x76213))
% 198.12/198.41 [7783]P24(f337(f337(f251(a884),x77831),f337(f337(f81(a884),x77832),x77833)))+~P24(f337(f337(f251(a884),f337(f337(f22(a884),x77831),x77833)),x77832))
% 198.12/198.41 [7784]P24(f337(f337(f252(a884),x77841),f337(f337(f22(a884),x77842),x77843)))+~P24(f337(f337(f252(a884),f337(f337(f81(a884),x77841),x77843)),x77842))
% 198.12/198.41 [7807]P24(f337(f62(x78071),x78072))+~P24(f337(f62(x78071),f337(f337(f113(f893(x78071,a878)),x78073),x78072)))
% 198.12/198.41 [7808]P24(f337(f62(x78081),x78082))+~P24(f337(f62(x78081),f337(f337(f113(f893(x78081,a878)),x78082),x78083)))
% 198.12/198.41 [7881]~P47(x78811,x78813)+P24(f337(f337(f339(f892(x78811,x78811)),f337(f337(f272(x78811,x78811),x78812),x78812)),x78813))
% 198.12/198.41 [8015]E(f337(f337(f167(a884),f141(a884,f337(f307(a884,x80151),x80152))),x80153),f337(f337(f81(a884),x80151),x80153))+~P24(f337(f337(f252(a884),f337(f337(f81(a884),x80151),x80153)),x80152))
% 198.12/198.41 [8081]E(f337(f337(f178(a884),x80811),f141(a884,f337(f307(a884,x80812),x80813))),f141(a884,f337(f307(a884,x80812),f337(f337(f81(a884),x80812),x80811))))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),x80812),x80811)),x80813))
% 198.12/198.41 [8134]~P93(x81341)+E(f337(f337(f262(x81341),x81342),f337(f106(a884),f337(f337(f81(a1),x81343),x81343))),f337(f337(f87(x81341,x81341),f337(f337(f262(x81341),x81342),f337(f106(a884),x81343))),f337(f337(f18(x81341,x81341,x81341),f82(x81341)),f5(x81341))))
% 198.12/198.41 [8400]E(f337(f337(f136(x84001),f337(f337(f178(x84001),x84002),x84003)),f337(f337(f153(x84001),f337(f337(f167(x84001),x84003),x84002)),f337(f337(f140(x84001),f337(a115,x84002)),x84003))),x84003)+~P24(f337(f337(f252(a884),x84002),f337(f198(f885(x84001)),x84003)))
% 198.12/198.41 [8407]P24(f337(f337(f251(f893(x84071,a878)),f325(x84071,x84072)),f325(x84071,x84073)))+~P24(f337(f337(f251(f893(x84071,f893(x84071,a878))),x84073),x84072))
% 198.12/198.41 [8409]~P52(x84091,x84092,x84093)+P52(x84091,x84092,f337(f337(f22(f893(f892(x84091,x84091),a878)),x84093),f313(x84091,f197(f893(f892(x84091,x84091),a878)))))
% 198.12/198.41 [8426]P24(f337(f337(f251(f893(x84261,a878)),f326(x84261,x84262)),f326(x84261,x84263)))+~P24(f337(f337(f251(f893(f892(x84261,x84261),a878)),x84263),x84262))
% 198.12/198.41 [8433]~P123(x84331)+P24(f337(f337(f251(x84331),f2(x84331)),f337(f337(f81(x84331),f337(f337(f82(x84331),x84332),x84332)),f337(f337(f82(x84331),x84333),x84333))))
% 198.12/198.41 [8465]P24(f337(f337(f251(f893(x84651,a878)),f337(f290(x84651),x84652)),f337(f290(x84651),x84653)))+~P24(f337(f337(f251(f893(f892(x84651,x84651),a878)),x84652),x84653))
% 198.12/198.41 [8495]~P43(x84951,x84952)+~P24(f337(f337(f339(f892(x84951,x84951)),f337(f337(f272(x84951,x84951),x84953),x84953)),x84952))
% 198.12/198.41 [8497]~P39(x84971,x84972)+~P24(f337(f337(f339(f892(x84971,x84971)),f337(f337(f272(x84971,x84971),x84973),x84973)),x84972))
% 198.12/198.41 [8552]P24(f337(f337(f251(f893(x85521,a878)),f41(f893(x85521,a878),x85522)),f41(f893(x85521,a878),x85523)))+~P24(f337(f337(f251(f893(f893(x85521,a878),a878)),x85523),x85522))
% 198.12/198.41 [8553]P24(f337(f337(f251(f893(x85531,a878)),f40(f893(x85531,a878),x85532)),f40(f893(x85531,a878),x85533)))+~P24(f337(f337(f251(f893(f893(x85531,a878),a878)),x85532),x85533))
% 198.12/198.41 [8605]~P6(x86051,x86053,x86052)+P24(f337(f337(f251(f893(f892(x86051,x86051),a878)),x86052),f337(f337(f274(x86051,x86051),x86053),f337(f16(f893(x86051,a878),x86051),x86053))))
% 198.12/198.41 [8606]~P41(x86061,x86063,x86062)+P24(f337(f337(f251(f893(f892(x86061,x86061),a878)),x86062),f337(f337(f274(x86061,x86061),x86063),f337(f16(f893(x86061,a878),x86061),x86063))))
% 198.12/198.41 [8652]~P85(x86521)+P24(f337(f337(f251(x86521),f337(f337(f22(x86521),f337(f76(x86521),x86522)),f337(f76(x86521),x86523))),f337(f76(x86521),f337(f337(f22(x86521),x86523),x86522))))
% 198.12/198.41 [8653]~P85(x86531)+P24(f337(f337(f251(x86531),f337(f337(f22(x86531),f337(f76(x86531),x86532)),f337(f76(x86531),x86533))),f337(f76(x86531),f337(f337(f22(x86531),x86532),x86533))))
% 198.12/198.41 [8682]P24(f337(f337(f251(f893(f892(x86821,x86821),a878)),f313(x86821,x86822)),f313(x86821,x86823)))+~P24(f337(f337(f251(f893(f892(x86821,x86821),a878)),x86822),x86823))
% 198.12/198.41 [8838]P52(x88381,x88382,x88383)+~P52(x88381,x88382,f337(f337(f22(f893(f892(x88381,x88381),a878)),x88383),f313(x88381,f197(f893(f892(x88381,x88381),a878)))))
% 198.12/198.41 [8856]P24(f337(f337(f251(f893(f892(f885(x88561),f885(x88561)),a878)),f160(x88561,x88562)),f160(x88561,x88563)))+~P24(f337(f337(f251(f893(f892(x88561,x88561),a878)),x88562),x88563))
% 198.12/198.41 [8857]P24(f337(f337(f251(f893(f892(f885(x88571),f885(x88571)),a878)),f159(x88571,x88572)),f159(x88571,x88573)))+~P24(f337(f337(f251(f893(f892(x88571,x88571),a878)),x88572),x88573))
% 198.12/198.41 [8876]~P41(x88761,x88763,x88762)+P24(f337(f337(f251(f893(f892(x88761,x88761),a878)),x88762),f337(f337(f294(x88761,x88761,x88761),f337(f292(x88761,x88761),x88762)),x88762)))
% 198.12/198.41 [8926]~P24(f337(f139(x89261),x89262))+E(f337(f138(x89261,f337(f337(f7(x89261,f893(x89261,a878),a878),f339(x89261)),f337(f175(x89261),f179(x89261,x89262,x89263)))),x89262),f179(x89261,x89262,x89263))
% 198.12/198.41 [8983]E(x89831,x89832)+~P24(f337(f337(f339(f892(x89833,x89833)),f337(f337(f272(x89833,x89833),x89831),x89832)),f313(x89833,f197(f893(f892(x89833,x89833),a878)))))
% 198.12/198.41 [9065]P24(f337(f337(f339(x90651),x90652),f326(x90651,x90653)))+P24(f337(f337(f339(f892(x90651,x90651)),f337(f337(f272(x90651,x90651),f517(x90653,x90652,x90651)),x90652)),x90653))
% 198.12/198.41 [9066]P24(f337(f337(f339(x90661),x90662),f326(x90661,x90663)))+P24(f337(f337(f339(f892(x90661,x90661)),f337(f337(f272(x90661,x90661),f579(x90663,x90662,x90661)),x90662)),x90663))
% 198.12/198.41 [9067]P24(f337(f337(f339(x90671),x90672),f326(x90671,x90673)))+P24(f337(f337(f339(f892(x90671,x90671)),f337(f337(f272(x90671,x90671),f581(x90673,x90672,x90671)),x90672)),x90673))
% 198.12/198.41 [9155]~P24(f337(f337(f339(f885(x91551)),x91553),f163(x91551,x91552)))+P24(f337(f162(x91551,f337(f337(f7(x91551,f893(x91551,a878),a878),f339(x91551)),x91552)),x91553))
% 198.12/198.41 [9176]P24(f337(x91763,x91762))+E(f337(f257(x91761),f337(f337(f18(x91761,a878,a878),f337(f337(f8(a878,f893(a878,a878),x91761),a335),f337(a334,x91762))),x91763)),f197(f893(x91761,a878)))
% 198.12/198.41 [9194]~P85(x91941)+P24(f337(f337(f251(x91941),f337(f76(x91941),f337(f337(f22(x91941),f337(f76(x91941),x91942)),f337(f76(x91941),x91943)))),f337(f76(x91941),f337(f337(f22(x91941),x91942),x91943))))
% 198.12/198.41 [9208]~P24(f337(x92083,x92082))+E(f337(f257(x92081),f337(f337(f18(x92081,a878,a878),f337(f337(f8(a878,f893(a878,a878),x92081),a335),f337(a334,x92082))),x92083)),f337(f337(f315(x92081),x92082),f197(f893(x92081,a878))))
% 198.12/198.41 [9215]~P24(f337(f337(f339(f893(x92151,a878)),x92153),f337(f314(x92151),x92152)))+P24(f337(f265(x92151,f337(f337(f7(x92151,f893(x92151,a878),a878),f339(x92151)),x92152)),x92153))
% 198.12/198.41 [9248]P39(x92481,x92482)+P24(f337(f337(f339(f892(x92481,x92481)),f337(f337(f272(x92481,x92481),f337(f526(x92482,x92481),f337(a115,x92483))),f337(f526(x92482,x92481),x92483))),x92482))
% 198.12/198.41 [9383]P24(f337(f337(f339(f885(x93831)),x93832),f163(x93831,x93833)))+~P24(f337(f162(x93831,f337(f337(f7(x93831,f893(x93831,a878),a878),f339(x93831)),x93833)),x93832))
% 198.12/198.41 [9395]P24(f337(f337(f339(f893(x93951,a878)),x93952),f337(f314(x93951),x93953)))+~P24(f337(f265(x93951,f337(f337(f7(x93951,f893(x93951,a878),a878),f339(x93951)),x93953)),x93952))
% 198.12/198.41 [9452]P24(f337(f337(f339(x94521),f337(f283(x94521,x94522),x94523)),f337(f175(x94521),f337(f337(f156(f892(a102,x94521),x94521),f275(a102,x94521)),x94522))))+~P24(f337(f337(f252(a102),x94523),f337(f168(a102),f337(f337(f156(f892(a102,x94521),a102),f271(a102,x94521)),x94522))))
% 198.12/198.41 [9501]P24(f337(f337(f251(f893(f892(f885(x95011),f885(x95011)),a878)),f160(x95011,x95012)),f337(f337(f274(f885(x95011),f885(x95011)),f163(x95011,x95013)),f337(f16(f893(f885(x95011),a878),f885(x95011)),f163(x95011,x95013)))))+~P24(f337(f337(f251(f893(f892(x95011,x95011),a878)),x95012),f337(f337(f274(x95011,x95011),x95013),f337(f16(f893(x95011,a878),x95011),x95013))))
% 198.12/198.41 [9523]P24(f337(f337(f339(x95231),f337(f271(x95231,f892(a102,a102)),f337(f281(x95231,x95232),x95233))),f337(f175(x95231),f337(f337(f156(f892(a102,x95231),x95231),f275(a102,x95231)),x95232))))+~P24(f337(f337(f252(a102),f2(a102)),f337(f168(a102),f337(f337(f156(f892(a102,x95231),a102),f271(a102,x95231)),x95232))))
% 198.12/198.41 [9537]~P24(f337(f337(f251(f893(f892(x95371,x95371),a878)),x95372),f337(f337(f274(x95371,x95371),x95373),f337(f16(f893(x95371,a878),x95371),x95373))))+P24(f337(f337(f251(f893(f892(x95371,x95371),a878)),f337(f337(f294(x95371,x95371,x95371),x95372),f313(x95371,x95372))),f337(f337(f274(x95371,x95371),x95373),f337(f16(f893(x95371,a878),x95371),x95373))))
% 198.12/198.41 [9841]~P39(x98411,x98412)+~P24(f337(f337(f339(f892(x98411,x98411)),f337(f337(f272(x98411,x98411),f337(x98413,f337(a115,f527(x98412,x98411,x98413)))),f337(x98413,f527(x98412,x98411,x98413)))),x98412))
% 198.12/198.41 [9842]~P39(x98421,x98422)+~P24(f337(f337(f339(f892(x98421,x98421)),f337(f337(f272(x98421,x98421),f337(x98423,f337(a115,f585(x98423,x98422,x98421)))),f337(x98423,f585(x98423,x98422,x98421)))),x98422))
% 198.12/198.41 [10092]P24(f337(f337(f251(f893(f892(f893(x100921,a878),f893(x100921,a878)),a878)),f337(f337(f294(f893(x100921,a878),f893(x100921,a878),f893(x100921,a878)),f329(x100921,x100922)),f337(f337(f113(f893(f892(f893(x100921,a878),f893(x100921,a878)),a878)),f329(x100921,x100923)),f337(f337(f315(f892(f893(x100921,a878),f893(x100921,a878))),f337(f337(f272(f893(x100921,a878),f893(x100921,a878)),f197(f893(x100921,a878))),f197(f893(x100921,a878)))),f197(f893(f892(f893(x100921,a878),f893(x100921,a878)),a878)))))),f329(x100921,x100922)))+~P24(f337(f337(f251(f893(f892(x100921,x100921),a878)),f337(f337(f294(x100921,x100921,x100921),x100922),x100923)),x100922))
% 198.12/198.41 [10093]P24(f337(f337(f251(f893(f892(f893(x100931,a878),f893(x100931,a878)),a878)),f337(f337(f294(f893(x100931,a878),f893(x100931,a878),f893(x100931,a878)),f328(x100931,x100932)),f337(f337(f113(f893(f892(f893(x100931,a878),f893(x100931,a878)),a878)),f328(x100931,x100933)),f337(f337(f315(f892(f893(x100931,a878),f893(x100931,a878))),f337(f337(f272(f893(x100931,a878),f893(x100931,a878)),f197(f893(x100931,a878))),f197(f893(x100931,a878)))),f197(f893(f892(f893(x100931,a878),f893(x100931,a878)),a878)))))),f328(x100931,x100932)))+~P24(f337(f337(f251(f893(f892(x100931,x100931),a878)),f337(f337(f294(x100931,x100931,x100931),x100932),x100933)),x100932))
% 198.12/198.41 [7315]~P24(f337(f337(f251(a884),x73152),x73151))+E(f337(f337(f22(a884),f337(a115,f337(f337(f22(a884),x73151),x73152))),x73153),f337(f337(f22(a884),f337(a115,x73151)),f337(f337(f81(a884),x73152),x73153)))
% 198.12/198.41 [7354]~P26(x73541)+E(f337(f337(f81(x73541),f45(x73541,x73542,x73543)),f337(f337(f82(x73541),f337(f337(f39(x73541),x73542),x73543)),x73543)),x73542)
% 198.12/198.41 [7559]E(f337(f337(f82(a884),f337(f106(a884),x75591)),f337(f337(f82(a884),f337(f106(a884),x75592)),x75593)),f337(f337(f82(a884),f337(f106(a884),f337(f337(f82(a1),x75591),x75592))),x75593))+P24(f337(f337(f252(a1),x75591),a84))
% 198.12/198.41 [8024]~P24(f337(f337(f251(a884),x80243),x80242))+P24(f337(f337(f251(a884),x80241),f337(f337(f22(a884),f337(f337(f81(a884),x80242),x80241)),x80243)))
% 198.12/198.41 [8221]~P24(f337(f337(f251(a884),x82211),x82212))+E(f337(f337(f136(a884),f141(a884,f337(f307(a884,x82211),x82212))),f141(a884,f337(f307(a884,x82212),f337(f337(f81(a884),x82212),x82213)))),f141(a884,f337(f307(a884,x82211),f337(f337(f81(a884),x82212),x82213))))
% 198.12/198.41 [8474]~P24(f337(f62(x84741),x84742))+E(f337(a115,f337(f38(x84741),f337(f337(f22(f893(x84741,a878)),x84742),f337(f337(f315(x84741),x84743),f197(f893(x84741,a878)))))),f337(f38(x84741),f337(f337(f315(x84741),x84743),x84742)))
% 198.12/198.41 [8515]~P24(f337(f62(x85151),x85152))+E(f337(f337(f81(a884),f79(a884)),f337(f38(x85151),f337(f337(f22(f893(x85151,a878)),x85152),f337(f337(f315(x85151),x85153),f197(f893(x85151,a878)))))),f337(f38(x85151),f337(f337(f315(x85151),x85153),x85152)))
% 198.12/198.41 [8691]E(f337(f337(f22(a884),f337(f38(x86911),x86912)),f337(f38(x86911),f337(f337(f104(f893(x86911,a878)),x86912),x86913))),f337(f38(x86911),f337(f337(f22(f893(x86911,a878)),x86912),x86913)))+~P24(f337(f62(x86911),f337(f337(f104(f893(x86911,a878)),x86912),x86913)))
% 198.12/198.41 [8922]~P29(f337(x89222,f418(x89222,x89223,x89221)))+E(f337(f103(a1),f337(f337(f6(x89221,a884),f337(f337(f8(a1,a884,x89221),a107),x89222)),x89223)),f337(f337(f6(x89221,a1),x89222),x89223))
% 198.12/198.41 [8923]~P29(f337(x89232,f419(x89232,x89233,x89231)))+E(f337(f103(a1),f337(f337(f9(x89231,a884),f337(f337(f8(a1,a884,x89231),a107),x89232)),x89233)),f337(f337(f9(x89231,a1),x89232),x89233))
% 198.12/198.41 [8968]~P24(f337(f62(x89681),x89683))+P24(f337(f337(f251(a884),f337(f337(f22(a884),f337(f38(x89681),x89682)),f337(f38(x89681),x89683))),f337(f38(x89681),f337(f337(f22(f893(x89681,a878)),x89682),x89683))))
% 198.12/198.41 [8991]P24(f337(f337(f339(x89911),f418(x89912,x89913,x89911)),x89913))+E(f337(f103(a1),f337(f337(f6(x89911,a884),f337(f337(f8(a1,a884,x89911),a107),x89912)),x89913)),f337(f337(f6(x89911,a1),x89912),x89913))
% 198.12/198.41 [8992]P24(f337(f337(f339(x89921),f419(x89922,x89923,x89921)),x89923))+E(f337(f103(a1),f337(f337(f9(x89921,a884),f337(f337(f8(a1,a884,x89921),a107),x89922)),x89923)),f337(f337(f9(x89921,a1),x89922),x89923))
% 198.12/198.41 [9057]E(f86(x90571,f337(f337(f7(x90571,f893(x90571,a878),a878),f339(x90571)),f337(f337(f22(f893(x90571,a878)),x90572),f337(f337(f315(x90571),x90573),f197(f893(x90571,a878)))))),f264(x90571,x90573,x90572))+P24(f337(f337(f251(f893(x90571,a878)),x90572),f337(f337(f315(x90571),x90573),f197(f893(x90571,a878)))))
% 198.12/198.41 [9396]E(f337(f337(f156(f885(x93961),x93961),f337(f337(f7(f885(x93961),a884,x93961),f167(x93961)),x93962)),f337(f138(f885(x93961),f337(f337(f8(a884,a878,f885(x93961)),f337(f252(a884),x93962)),f198(f885(x93961)))),x93963)),f337(f337(f167(f885(x93961)),f183(x93961,x93963)),x93962))+~P24(f337(f337(f252(a884),x93962),f337(f198(f885(f885(x93961))),f183(x93961,x93963))))
% 198.12/198.41 [9471]E(f337(f138(x94711,x94712),x94713),f180(x94711,x94712,x94713))+P24(f337(f337(f339(x94711),f746(x94713,x94712,x94711)),f337(f175(x94711),f337(f337(f140(x94711),f337(f198(f885(x94711)),f180(x94711,x94712,x94713))),x94713))))
% 198.12/198.41 [9608]E(f337(f337(f140(x96081),f337(f198(f885(x96081)),f180(x96081,x96082,x96083))),x96083),f116(x96081))+~P24(f337(x96082,f337(f143(x96081),f337(f337(f140(x96081),f337(f198(f885(x96081)),f180(x96081,x96082,x96083))),x96083))))
% 198.12/198.41 [9701]~P24(f337(f337(f339(f892(x97011,x97011)),x97012),f313(x97011,x97013)))+P24(f337(f337(f339(f892(x97011,x97011)),x97012),f337(f337(f42(a884,f893(f892(x97011,x97011),a878)),f260(f893(a884,a878))),f337(f337(f7(a884,f893(f892(x97011,x97011),a878),f893(f892(x97011,x97011),a878)),f192(f892(x97011,x97011),a878)),x97013))))
% 198.12/198.41 [9758]~P24(f337(f337(f251(f893(x97581,a878)),f337(f337(f42(a884,f893(x97581,a878)),f337(f307(a884,f2(a884)),f471(x97583,x97582,x97581))),x97582)),x97583))+P24(f337(f337(f251(f893(x97581,a878)),f337(f337(f42(a884,f893(x97581,a878)),f260(f893(a884,a878))),x97582)),x97583))
% 198.12/198.41 [9816]~P24(f337(f337(f252(a1),f2(a1)),x98163))+P24(f337(f337(f252(a1),x98161),f337(f337(f81(a1),x98162),f337(f337(f82(a1),f337(f337(f81(a1),f337(f76(a1),f337(f337(f22(a1),x98162),x98161))),f79(a1))),x98163))))
% 198.12/198.41 [9828]~P39(x98281,f337(f337(f113(f893(f892(x98281,x98281),a878)),x98282),x98283))+P39(x98281,f337(f337(f113(f893(f892(x98281,x98281),a878)),f337(f337(f113(f893(f892(x98281,x98281),a878)),f337(f337(f294(x98281,x98281,x98281),x98282),x98282)),f337(f337(f294(x98281,x98281,x98281),x98283),x98282))),x98283))
% 198.12/198.41 [9908]P39(x99081,f337(f337(f113(f893(f892(x99081,x99081),a878)),x99082),x99083))+~P39(x99081,f337(f337(f113(f893(f892(x99081,x99081),a878)),f337(f337(f113(f893(f892(x99081,x99081),a878)),f337(f337(f294(x99081,x99081,x99081),x99082),x99082)),f337(f337(f294(x99081,x99081,x99081),x99083),x99082))),x99083))
% 198.12/198.41 [9474]~P138(x94741)+E(f337(f105(x94741),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x94742),x94743)),f197(f893(f892(a884,a884),a878)))))),f337(f337(f22(x94741),f337(f103(x94741),x94742)),f337(f103(x94741),x94743)))
% 198.12/198.41 [9555]P24(f337(x95553,x95552))+E(f337(f257(x95551),f337(f337(f18(x95551,a878,a878),f337(f337(f8(a878,f893(a878,a878),x95551),a335),f337(f337(f7(x95551,x95551,a878),a334),x95552))),x95553)),f197(f893(x95551,a878)))
% 198.12/198.41 [9557]~P24(f337(x95573,x95572))+E(f337(f257(x95571),f337(f337(f18(x95571,a878,a878),f337(f337(f8(a878,f893(a878,a878),x95571),a335),f337(f337(f7(x95571,x95571,a878),a334),x95572))),x95573)),f337(f337(f315(x95571),x95572),f197(f893(x95571,a878))))
% 198.12/198.41 [9794]E(x97941,x97942)+P24(f337(f337(f261(x97943,x97943,f337(f337(f8(f893(x97943,a878),f893(x97943,a878),x97943),f337(f8(a878,a878,x97943),a332)),a334)),x97941),x97942))
% 198.12/198.41 [9886]~E(x98861,x98862)+~P24(f337(f337(f261(x98863,x98863,f337(f337(f8(f893(x98863,a878),f893(x98863,a878),x98863),f337(f8(a878,a878,x98863),a332)),a334)),x98861),x98862))
% 198.12/198.41 [9900]~P24(f337(f62(x99001),x99003))+E(f337(f337(f65(x99001,f893(x99001,a878),f337(f337(f8(f893(x99001,a878),f893(f893(x99001,a878),f893(x99001,a878)),x99001),f337(f7(f893(x99001,a878),f893(x99001,a878),f893(x99001,a878)),f22(f893(x99001,a878)))),f337(f337(f7(x99001,f893(x99001,a878),f893(x99001,a878)),f315(x99001)),f197(f893(x99001,a878))))),x99002),x99003),f337(f337(f22(f893(x99001,a878)),x99002),x99003))
% 198.12/198.41 [9932]~P24(f337(f337(f252(a1),f2(a1)),x99323))+P24(f337(f337(f252(a1),f337(f337(f22(a1),x99321),f337(f337(f82(a1),f337(f337(f81(a1),f337(f76(a1),f337(f337(f22(a1),x99321),x99322))),f79(a1))),x99323))),x99322))
% 198.12/198.41 [10155]~P24(f337(f337(f339(x101551),x101553),f326(x101551,x101552)))+P24(f337(f325(x101551,f337(f337(f7(x101551,f893(f892(x101551,x101551),a878),f893(x101551,a878)),f337(f337(f8(f893(x101551,f893(f893(f892(x101551,x101551),a878),a878)),f893(f893(f892(x101551,x101551),a878),f893(x101551,a878)),x101551),f7(x101551,f893(f892(x101551,x101551),a878),a878)),f337(f337(f8(f893(x101551,f892(x101551,x101551)),f893(x101551,f893(f893(f892(x101551,x101551),a878),a878)),x101551),f337(f8(f892(x101551,x101551),f893(f893(f892(x101551,x101551),a878),a878),x101551),f339(f892(x101551,x101551)))),f272(x101551,x101551)))),x101552)),x101553))
% 198.12/198.41 [10168]P24(f337(f337(f339(x101681),x101682),f326(x101681,x101683)))+~P24(f337(f325(x101681,f337(f337(f7(x101681,f893(f892(x101681,x101681),a878),f893(x101681,a878)),f337(f337(f8(f893(x101681,f893(f893(f892(x101681,x101681),a878),a878)),f893(f893(f892(x101681,x101681),a878),f893(x101681,a878)),x101681),f7(x101681,f893(f892(x101681,x101681),a878),a878)),f337(f337(f8(f893(x101681,f892(x101681,x101681)),f893(x101681,f893(f893(f892(x101681,x101681),a878),a878)),x101681),f337(f8(f892(x101681,x101681),f893(f893(f892(x101681,x101681),a878),a878),x101681),f339(f892(x101681,x101681)))),f272(x101681,x101681)))),x101683)),x101682))
% 198.12/198.41 [9756]~P24(f337(f62(x97561),f337(f257(x97561),x97563)))+P24(f337(f62(x97561),f337(f257(x97561),f337(f337(f18(x97561,a878,a878),f337(f337(f8(a878,f893(a878,a878),x97561),a335),x97562)),x97563))))
% 198.12/198.41 [9757]~P24(f337(f62(x97571),f337(f257(x97571),x97572)))+P24(f337(f62(x97571),f337(f257(x97571),f337(f337(f18(x97571,a878,a878),f337(f337(f8(a878,f893(a878,a878),x97571),a335),x97572)),x97573))))
% 198.12/198.41 [9860]P24(f337(f62(x98601),f337(f257(x98601),x98602)))+~P24(f337(f62(x98601),f337(f257(x98601),f337(f337(f18(x98601,a878,a878),f337(f337(f8(a878,f893(a878,a878),x98601),a336),x98603)),x98602))))
% 198.12/198.41 [9861]P24(f337(f62(x98611),f337(f257(x98611),x98612)))+~P24(f337(f62(x98611),f337(f257(x98611),f337(f337(f18(x98611,a878,a878),f337(f337(f8(a878,f893(a878,a878),x98611),a336),x98612)),x98613))))
% 198.12/198.41 [10142]~P24(f337(f62(x101421),x101422))+P24(f337(f62(f885(x101421)),f337(f257(f885(x101421)),f337(f337(f18(f885(x101421),a878,a878),f337(f337(f8(a878,f893(a878,a878),f885(x101421)),a335),f337(f337(f7(f885(x101421),f893(x101421,a878),a878),f337(f337(f8(f893(x101421,a878),f893(f893(x101421,a878),a878),f885(x101421)),f251(f893(x101421,a878))),f175(x101421))),x101422))),f337(f337(f7(f885(x101421),a884,a878),f337(f337(f8(a884,f893(a884,a878),f885(x101421)),a334),f198(f885(x101421)))),x101423)))))
% 198.12/198.41 [10143]~P24(f337(f62(x101431),x101432))+P24(f337(f62(f885(x101431)),f337(f257(f885(x101431)),f337(f337(f18(f885(x101431),a878,a878),f337(f337(f8(a878,f893(a878,a878),f885(x101431)),a335),f337(f337(f7(f885(x101431),f893(x101431,a878),a878),f337(f337(f8(f893(x101431,a878),f893(f893(x101431,a878),a878),f885(x101431)),f251(f893(x101431,a878))),f175(x101431))),x101432))),f337(f337(f7(f885(x101431),a884,a878),f337(f337(f8(a884,f893(a884,a878),f885(x101431)),f251(a884)),f198(f885(x101431)))),x101433)))))
% 198.12/198.41 [9875]~P110(x98751)+E(f337(f337(f262(x98751),x98752),f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x98753)),f337(f337(f82(x98751),f337(f337(f262(x98751),x98752),x98753)),f337(f337(f262(x98751),x98752),x98753)))
% 198.12/198.41 [9913]~P80(x99131)+E(f337(f337(f262(x99131),f337(f337(f262(x99131),x99132),x99133)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f262(x99131),x99132),f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99133)))
% 198.12/198.41 [9959]~P138(x99591)+E(f337(f337(f262(x99591),f337(f80(x99591),x99592)),f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99593)),f337(f337(f262(x99591),x99592),f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99593)))
% 198.12/198.41 [10099]~P116(x100991)+P24(f337(f337(f251(x100991),f2(x100991)),f337(f337(f81(x100991),f337(f337(f262(x100991),x100992),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x100991),x100993),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))))
% 198.12/198.41 [9969]~P110(x99691)+E(f337(f337(f262(x99691),x99692),f337(a115,f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99693))),f337(f337(f82(x99691),x99692),f337(f337(f82(x99691),f337(f337(f262(x99691),x99692),x99693)),f337(f337(f262(x99691),x99692),x99693))))
% 198.12/198.41 [10018]~P80(x100181)+E(f337(f337(f82(x100181),x100182),f337(f337(f262(x100181),f337(f337(f262(x100181),x100182),x100183)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x100181),x100182),f337(a115,f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100183))))
% 198.12/198.41 [10057]~P116(x100571)+P24(f337(f337(f251(x100571),f2(x100571)),f337(f337(f262(x100571),x100572),f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x100573))))
% 198.12/198.41 [10121]~P93(x101211)+E(f337(f337(f22(x101211),f337(f337(f81(x101211),f337(f337(f262(x101211),x101212),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101211),x101213),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f337(f337(f82(x101211),f337(f337(f82(x101211),f337(f106(x101211),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x101212)),x101213)),f337(f337(f262(x101211),f337(f337(f22(x101211),x101212),x101213)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.41 [10122]~P93(x101221)+E(f337(f337(f81(x101221),f337(f337(f81(x101221),f337(f337(f262(x101221),x101222),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101221),x101223),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f337(f337(f82(x101221),f337(f337(f82(x101221),f337(f106(x101221),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x101222)),x101223)),f337(f337(f262(x101221),f337(f337(f81(x101221),x101222),x101223)),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.41 [4731]E(x47311,x47312)+~E(f33(x47313,x47311),f33(x47314,x47312))
% 198.12/198.41 [4732]E(x47321,x47322)+~E(f33(x47321,x47323),f33(x47322,x47324))
% 198.12/198.41 [4733]E(x47331,x47332)+~E(f32(x47333,x47331),f32(x47334,x47332))
% 198.12/198.41 [4734]E(x47341,x47342)+~E(f32(x47341,x47343),f32(x47342,x47344))
% 198.12/198.41 [7825]P21(x78251,x78252,x78253,x78254)+~E(f512(x78254,x78253,x78252,x78251),f513(x78254,x78253,x78252,x78251))
% 198.12/198.41 [8113]P36(x81131,x81132,x81133,x81134,f116(x81132))+~E(x81134,f116(x81131))
% 198.12/198.41 [8114]P36(x81141,x81142,x81143,f116(x81141),x81144)+~E(x81144,f116(x81142))
% 198.12/198.41 [8327]~P21(x83271,f887(x83272),x83274,f187(x83271,x83272,x83274))+P21(x83271,f887(x83272),f188(x83271,x83272,x83273,x83274),f187(x83271,x83272,x83274))
% 198.12/198.41 [8529]~P21(x85291,f887(x85292),f188(x85291,x85292,x85294,x85293),f187(x85291,x85292,x85293))+P21(x85291,f887(x85292),x85293,f187(x85291,x85292,x85293))
% 198.12/198.41 [8642]~P36(x86422,x86423,x86424,x86421,f116(x86423))+E(x86421,f116(x86422))
% 198.12/198.41 [8643]~P36(x86433,x86432,x86434,f116(x86433),x86431)+E(x86431,f116(x86432))
% 198.12/198.41 [5110]~P13(x51103,x51101,x51104)+E(f337(f337(x51101,x51102),x51102),x51102)
% 198.12/198.41 [5367]P24(f337(x53672,x53674))+E(f337(f138(x53671,x53672),f172(x53671,x53673,x53674)),f116(x53671))
% 198.12/198.41 [5403]~E(x54034,f197(f893(x54031,a878)))+E(f337(f316(x54031,x54032,x54033),x54034),f197(f893(x54032,a878)))
% 198.12/198.41 [5643]~P24(f337(x56432,x56434))+E(f337(f138(x56431,x56432),f172(x56431,x56433,x56434)),f172(x56431,x56433,x56434))
% 198.12/198.41 [5672]~E(f337(f316(x56722,x56723,x56724),x56721),f197(f893(x56723,a878)))+E(x56721,f197(f893(x56722,a878)))
% 198.12/198.41 [5957]~P105(x59572)+E(f337(f337(f150(x59571,x59572,x59573),x59574),f116(x59571)),f337(f337(f153(x59571),x59574),f116(x59571)))
% 198.12/198.41 [5995]E(f337(x59951,x59952),f210(x59953))+P24(f337(f337(f339(x59954),x59952),f187(x59954,x59953,x59951)))
% 198.12/198.41 [6319]~E(x63191,f197(f893(x63192,a878)))+~P24(f337(f63(x63192,x63193,x63191),x63194))
% 198.12/198.41 [6340]~P55(x63401,x63403,x63404,x63402)+P24(f337(f62(x63401),x63402))
% 198.12/198.41 [6341]~P55(x63411,x63413,x63412,x63414)+P24(f337(f62(x63411),x63412))
% 198.12/198.41 [6347]~P55(x63472,x63473,x63474,x63471)+~E(x63471,f197(f893(x63472,a878)))
% 198.12/198.41 [6378]~P106(x63781)+E(f337(f337(f104(f893(x63781,a878)),f337(f307(x63781,x63782),x63783)),f308(x63781,x63783,x63784)),f197(f893(x63781,a878)))
% 198.12/198.41 [6405]~P24(f337(f337(x64053,x64054),x64052))+P24(f337(f337(f339(x64051),x64052),f298(x64051,x64053,x64054)))
% 198.12/198.41 [6406]~P24(f337(f337(x64063,x64064),x64062))+P24(f337(f337(f339(x64061),x64062),f299(x64061,x64063,x64064)))
% 198.12/198.41 [6407]~P24(f337(f337(x64073,x64072),x64074))+P24(f337(f337(f339(x64071),x64072),f300(x64071,x64073,x64074)))
% 198.12/198.41 [6408]~P24(f337(f337(x64083,x64082),x64084))+P24(f337(f337(f339(x64081),x64082),f303(x64081,x64083,x64084)))
% 198.12/198.41 [6548]~P106(x65481)+E(f337(f337(f104(f893(x65481,a878)),f308(x65481,x65482,x65483)),f311(x65481,x65483,x65484)),f197(f893(x65481,a878)))
% 198.12/198.41 [6549]~P106(x65491)+E(f337(f337(f104(f893(x65491,a878)),f308(x65491,x65492,x65493)),f310(x65491,x65493,x65494)),f197(f893(x65491,a878)))
% 198.12/198.41 [6550]~P106(x65501)+E(f337(f337(f104(f893(x65501,a878)),f311(x65501,x65502,x65503)),f308(x65501,x65503,x65504)),f197(f893(x65501,a878)))
% 198.12/198.41 [6551]~P106(x65511)+E(f337(f337(f104(f893(x65511,a878)),f310(x65511,x65512,x65513)),f311(x65511,x65513,x65514)),f197(f893(x65511,a878)))
% 198.12/198.41 [6552]~P106(x65521)+E(f337(f337(f104(f893(x65521,a878)),f310(x65521,x65522,x65523)),f310(x65521,x65523,x65524)),f197(f893(x65521,a878)))
% 198.12/198.41 [6591]P24(f337(f337(x65911,x65912),f523(x65912,x65911)))+~P24(f337(f266(x65913,x65914,x65911),x65912))
% 198.12/198.41 [6640]~E(f337(x66401,x66402),f210(x66403))+~P24(f337(f337(f339(x66404),x66402),f187(x66404,x66403,x66401)))
% 198.12/198.41 [6669]~P105(x66692)+E(f337(f175(x66691),f152(x66691,x66692,x66693,x66694)),f337(f175(x66691),x66694))
% 198.12/198.41 [6720]~P142(x67201)+E(f199(x67201,x67202,f337(a115,x67203),x67204),f199(x67201,x67202,x67203,f337(x67202,x67204)))
% 198.12/198.41 [6780]~P24(f337(f337(f339(x67804),x67803),f298(x67804,x67801,x67802)))+P24(f337(f337(x67801,x67802),x67803))
% 198.12/198.41 [6781]~P24(f337(f337(f339(x67814),x67813),f299(x67814,x67811,x67812)))+P24(f337(f337(x67811,x67812),x67813))
% 198.12/198.41 [6782]~P24(f337(f337(f339(x67824),x67822),f300(x67824,x67821,x67823)))+P24(f337(f337(x67821,x67822),x67823))
% 198.12/198.41 [6783]~P24(f337(f337(f339(x67834),x67832),f303(x67834,x67831,x67833)))+P24(f337(f337(x67831,x67832),x67833))
% 198.12/198.41 [6860]E(f337(f38(f891(x68601,x68602)),f324(x68601,x68602,x68603,x68604)),f2(a884))+P24(f337(f62(x68602),x68604))
% 198.12/198.41 [6861]E(f337(f38(f891(x68611,x68612)),f324(x68611,x68612,x68613,x68614)),f2(a884))+P24(f337(f62(x68611),x68613))
% 198.12/198.41 [7063]~P11(x70634,x70631,x70632)+E(f337(f74(x70631,x70631,x70631,f337(x70632,x70633)),f337(x70632,x70633)),f337(x70632,x70633))
% 198.12/198.41 [7945]~E(x79452,x79453)+P24(f337(f337(f339(f892(x79451,x79451)),f337(f337(f272(x79451,x79451),x79452),x79453)),f313(x79451,x79454)))
% 198.12/198.41 [7973]~P21(x79731,x79732,x79733,f260(f893(x79731,a878)))+E(f337(f78(x79731,x79732,f260(f893(x79731,a878)),x79733),f337(x79733,x79734)),x79734)
% 198.12/198.41 [8064]~P24(f337(f337(f339(f885(x80641)),f337(f337(f153(x80641),x80644),x80642)),f163(x80641,x80643)))+P24(f337(f337(f339(f885(x80641)),x80642),f163(x80641,x80643)))
% 198.12/198.41 [8065]~P24(f337(f337(f339(f885(x80651)),f337(f337(f136(x80651),x80654),x80652)),f163(x80651,x80653)))+P24(f337(f337(f339(f885(x80651)),x80652),f163(x80651,x80653)))
% 198.12/198.41 [8066]~P24(f337(f337(f339(f885(x80661)),f337(f337(f136(x80661),x80662),x80664)),f163(x80661,x80663)))+P24(f337(f337(f339(f885(x80661)),x80662),f163(x80661,x80663)))
% 198.12/198.41 [8077]~P105(x80771)+P30(x80771,f337(f337(f156(x80772,x80771),x80773),f152(x80772,x80771,x80773,x80774)))
% 198.12/198.41 [8174]P21(x81744,x81743,x81741,x81742)+E(f337(x81741,f512(x81742,x81741,x81743,x81744)),f337(x81741,f513(x81742,x81741,x81743,x81744)))
% 198.12/198.41 [8186]E(f188(x81861,x81862,x81863,x81864),f188(x81861,x81862,x81864,x81863))+~E(f337(f337(f104(f893(x81861,a878)),f187(x81861,x81862,x81863)),f187(x81861,x81862,x81864)),f197(f893(x81861,a878)))
% 198.12/198.41 [8289]~P21(x82892,x82891,x82894,x82893)+P21(x82891,x82892,f78(x82892,x82891,x82893,x82894),f337(f316(x82892,x82891,x82894),x82893))
% 198.12/198.41 [8424]P39(f892(x84242,x84244),f289(x84242,x84244,x84241,x84243))+P24(f337(x84241,f525(x84242,x84243,x84244,x84241)))
% 198.12/198.41 [8536]E(x85361,x85362)+~P24(f337(f337(f339(f892(x85363,x85363)),f337(f337(f272(x85363,x85363),x85361),x85362)),f269(x85363,x85364)))
% 198.12/198.41 [8597]~P24(f337(f62(f891(x85973,x85971)),f324(x85973,x85971,x85974,x85972)))+P24(f337(f62(x85971),x85972))
% 198.12/198.41 [8598]~P24(f337(f62(f891(x85981,x85983)),f324(x85981,x85983,x85982,x85984)))+P24(f337(f62(x85981),x85982))
% 198.12/198.41 [8775]P39(f892(x87751,x87752),f289(x87751,x87752,x87753,x87754))+~P39(x87752,f337(x87754,f525(x87751,x87754,x87752,x87753)))
% 198.12/198.41 [9319]E(f337(f337(f161(x93191,x93192),f698(x93193,x93194,x93192,x93191)),f699(x93193,x93194,x93192,x93191)),x93194)+~P24(f337(f337(f339(f892(f885(x93191),f885(x93191))),f337(f337(f272(f885(x93191),f885(x93191)),x93192),x93194)),f159(x93191,x93193)))
% 198.12/198.41 [9324]~P24(f337(f337(f339(f892(f885(x93241),f885(x93241))),f337(f337(f272(f885(x93241),f885(x93241)),x93242),x93243)),f147(x93241,x93244)))+P24(f337(f337(f339(f892(f885(x93241),f885(x93241))),f337(f337(f272(f885(x93241),f885(x93241)),x93242),x93243)),f149(x93241,x93244)))
% 198.12/198.41 [9429]P24(f337(f62(x94291),x94292))+~P24(f337(f337(f339(f892(f893(x94291,a878),f893(x94291,a878))),f337(f337(f272(f893(x94291,a878),f893(x94291,a878)),x94293),x94292)),f329(x94291,x94294)))
% 198.12/198.41 [9430]P24(f337(f62(x94301),x94302))+~P24(f337(f337(f339(f892(f893(x94301,a878),f893(x94301,a878))),f337(f337(f272(f893(x94301,a878),f893(x94301,a878)),x94302),x94303)),f329(x94301,x94304)))
% 198.12/198.41 [9433]~E(x94331,f197(f893(x94332,a878)))+~P24(f337(f337(f339(f892(f893(x94332,a878),f893(x94332,a878))),f337(f337(f272(f893(x94332,a878),f893(x94332,a878)),x94333),x94331)),f329(x94332,x94334)))
% 198.12/198.41 [10068]P9(x100681,x100682,x100683,x100684)+~P24(f337(f337(f276(x100681,x100681,a878),f337(f337(f7(x100681,f893(x100681,x100682),f893(x100681,a878)),f337(f337(f8(f893(x100682,a878),f893(f893(x100681,x100682),f893(x100681,a878)),x100681),f8(x100682,a878,x100681)),f337(f337(f8(x100682,f893(x100682,a878),x100681),a334),x100684))),x100684)),f560(x100684,x100683,x100682,x100681)))
% 198.12/198.41 [5009]~E(x50094,f116(x50091))+E(f337(f337(f156(x50091,x50092),x50093),x50094),f116(x50092))
% 198.12/198.41 [5010]~E(x50104,f210(x50101))+E(f337(f337(f211(x50101,x50102),x50103),x50104),f210(x50102))
% 198.12/198.41 [5011]~E(x50112,f116(x50111))+E(f337(f337(f161(x50111,x50112),x50113),x50114),f116(x50111))
% 198.12/198.41 [5249]E(x52491,f210(x52492))+~E(f337(f337(f211(x52492,x52493),x52494),x52491),f210(x52493))
% 198.12/198.41 [5250]E(x52501,f116(x52502))+~E(f337(f337(f156(x52502,x52503),x52504),x52501),f116(x52503))
% 198.12/198.41 [5251]E(x52511,f116(x52512))+~E(f337(f337(f161(x52512,x52511),x52513),x52514),f116(x52512))
% 198.12/198.41 [5285]E(x52851,x52852)+~E(f337(f337(f136(x52853),x52854),x52851),f337(f337(f136(x52853),x52854),x52852))
% 198.12/198.41 [5286]E(x52861,x52862)+~E(f337(f337(f136(x52863),x52861),x52864),f337(f337(f136(x52863),x52862),x52864))
% 198.12/198.41 [5440]P24(f337(x54403,x54402))+E(f173(x54401,x54402,f337(f138(x54401,x54403),x54404)),f337(f138(x54401,x54403),x54404))
% 198.12/198.41 [5443]~P24(f337(x54432,x54433))+P35(x54431,x54432,f337(f337(f153(x54431),x54433),x54434))
% 198.12/198.41 [5452]E(x54521,x54522)+~E(f141(a884,f337(f307(a884,x54521),x54523)),f337(f337(f153(a884),x54522),x54524))
% 198.12/198.41 [5500]~P22(x55002,x55003)+P22(x55001,f337(f337(f75(x55002,x55001),x55003),x55004))
% 198.12/198.41 [5501]~P39(x55012,x55013)+P39(x55011,f337(f337(f293(x55012,x55011),x55013),x55014))
% 198.12/198.41 [5627]~P35(x56271,x56272,x56274)+P35(x56271,x56272,f337(f337(f153(x56271),x56273),x56274))
% 198.12/198.41 [5628]~P35(x56281,x56282,x56284)+P35(x56281,x56282,f337(f337(f136(x56281),x56283),x56284))
% 198.12/198.41 [5629]~P35(x56291,x56292,x56293)+P35(x56291,x56292,f337(f337(f136(x56291),x56293),x56294))
% 198.12/198.41 [5715]~E(x57151,f116(x57152))+~E(f337(f337(f136(x57152),x57153),f337(f337(f153(x57152),x57154),f116(x57152))),x57151)
% 198.12/198.41 [5740]~P33(x57403,x57401,f337(f337(f153(x57403),x57402),x57404))+P24(f337(x57401,x57402))
% 198.12/198.41 [5750]E(f146(x57501,x57502),x57503)+~E(f337(f337(f136(x57501),x57504),f337(f337(f153(x57501),x57503),f116(x57501))),x57502)
% 198.12/198.41 [5751]E(f117(x57511,x57512),x57513)+~E(f337(f337(f136(x57511),x57513),f337(f337(f153(x57511),x57514),f116(x57511))),x57512)
% 198.12/198.41 [5861]~E(f141(a884,f337(f307(a884,x58611),x58612)),f337(f337(f153(a884),x58613),x58614))+P24(f337(f337(f252(a884),x58611),x58612))
% 198.12/198.41 [5870]P33(x58701,x58702,x58703)+~P33(x58701,x58702,f337(f337(f153(x58701),x58704),x58703))
% 198.12/198.41 [5871]P33(x58711,x58712,x58713)+~P33(x58711,x58712,f337(f337(f136(x58711),x58714),x58713))
% 198.12/198.41 [5872]P33(x58721,x58722,x58723)+~P33(x58721,x58722,f337(f337(f136(x58721),x58723),x58724))
% 198.12/198.41 [6060]E(x60601,f337(f337(f136(x60602),f337(f171(x60602),x60603)),f337(f337(f153(x60602),x60604),f116(x60602))))+~E(f337(f171(x60602),x60601),f337(f337(f153(x60602),x60604),x60603))
% 198.12/198.41 [6239]~P106(x62391)+E(f337(f337(f104(f893(x62391,a878)),f337(f307(x62391,x62392),x62393)),f337(f307(x62391,x62393),x62394)),f197(f893(x62391,a878)))
% 198.12/198.41 [6250]E(f337(f337(f167(x62501),f172(x62501,x62502,x62503)),x62504),x62503)+~P24(f337(f337(f252(a884),x62504),x62502))
% 198.12/198.41 [6277]~P70(x62771)+E(f337(f168(x62771),f337(f337(f156(a1,x62771),x62772),f182(x62773,x62774))),f337(f337(f6(a1,x62771),x62772),f337(f175(a1),f182(x62773,x62774))))
% 198.12/198.41 [6278]~P70(x62781)+E(f337(f337(f6(a1,x62781),x62782),f337(f175(a1),f182(x62783,x62784))),f337(f168(x62781),f337(f337(f156(a1,x62781),x62782),f182(x62783,x62784))))
% 198.12/198.41 [6418]~E(x64182,f337(f337(f136(x64181),f337(f171(x64181),x64184)),f337(f337(f153(x64181),x64183),f116(x64181))))+E(f337(f171(x64181),x64182),f337(f337(f153(x64181),x64183),x64184))
% 198.12/198.41 [6434]~P15(x64342,x64343,x64344,x64341)+E(f337(x64341,f197(f893(x64342,a878))),f34(x64343))
% 198.12/198.41 [6460]~P106(x64601)+E(f337(f337(f104(f893(x64601,a878)),f311(x64601,x64602,x64603)),f337(f307(x64601,x64603),x64604)),f197(f893(x64601,a878)))
% 198.12/198.41 [6670]E(x66701,f197(f893(x66702,a878)))+~E(f324(x66703,x66702,x66704,x66701),f197(f893(f891(x66703,x66702),a878)))
% 198.12/198.41 [6671]E(x66711,f197(f893(x66712,a878)))+~E(f324(x66712,x66713,x66711,x66714),f197(f893(f891(x66712,x66713),a878)))
% 198.12/198.41 [6739]~P105(x67392)+E(f337(f198(f885(x67391)),f152(x67391,x67392,x67393,x67394)),f337(f198(f885(x67391)),x67394))
% 198.12/198.41 [6751]~P24(f337(f267(x67513,x67514,x67511),x67512))+P24(f337(f337(x67511,f524(x67512,x67511)),x67512))
% 198.12/198.41 [6791]~P24(f337(f62(x67912),x67914))+P24(f337(f62(x67911),f337(f316(x67912,x67911,x67913),x67914)))
% 198.12/198.41 [7022]~P21(x70222,x70221,x70223,x70224)+E(f337(f38(x70221),f337(f316(x70222,x70221,x70223),x70224)),f337(f38(x70222),x70224))
% 198.12/198.41 [7041]E(f337(f316(x70411,x70412,x70413),f337(f317(x70411,x70412,x70413),x70414)),x70414)+~E(f337(f316(x70411,x70412,x70413),f260(f893(x70411,a878))),f260(f893(x70412,a878)))
% 198.12/198.41 [7452]~P21(x74521,x74522,x74523,f260(f893(x74521,a878)))+E(f337(f317(x74521,x74522,x74523),f337(f316(x74521,x74522,x74523),x74524)),x74524)
% 198.12/198.41 [7741]E(x77411,x77412)+~P24(f337(f337(f339(x77413),x77411),f337(f175(x77413),f172(x77413,x77414,x77412))))
% 198.12/198.41 [7750]~E(x77501,f2(a884))+~P24(f337(f337(f339(x77502),x77503),f337(f175(x77502),f172(x77502,x77501,x77504))))
% 198.12/198.41 [7786]P24(f337(x77861,x77862))+~P24(f337(f337(f339(x77863),x77862),f337(f175(x77863),f180(x77863,x77861,x77864))))
% 198.12/198.41 [7892]~P24(f337(f337(f339(f885(x78921)),f337(f337(f153(x78921),x78922),x78924)),f163(x78921,x78923)))+P24(f337(f337(f339(x78921),x78922),x78923))
% 198.12/198.41 [8020]~P24(f337(f337(f339(x80201),x80202),f337(f175(x80201),f173(x80201,x80204,x80203))))+P24(f337(f337(f339(x80201),x80202),f337(f175(x80201),x80203)))
% 198.12/198.41 [8022]~P24(f337(f337(f339(x80221),x80222),f337(f175(x80221),f179(x80221,x80223,x80224))))+P24(f337(f337(f339(x80221),x80222),f337(f175(x80221),x80223)))
% 198.12/198.41 [8023]~P24(f337(f337(f339(x80231),x80232),f337(f175(x80231),f180(x80231,x80234,x80233))))+P24(f337(f337(f339(x80231),x80232),f337(f175(x80231),x80233)))
% 198.12/198.41 [8033]E(f337(f198(f885(x80331)),x80332),x80333)+~P24(f337(f337(f339(f885(x80331)),x80332),f337(f175(f885(x80331)),f55(x80331,x80333,x80334))))
% 198.12/198.41 [8125]P24(f337(x81253,x81252))+E(f337(f138(x81251,f337(f337(f8(a878,a878,x81251),a332),f337(a334,x81252))),f337(f138(x81251,x81253),x81254)),f337(f138(x81251,x81253),x81254))
% 198.12/198.41 [8238]E(f337(f337(f167(x82381),f180(x82381,x82382,x82383)),x82384),f337(f337(f167(x82381),x82383),x82384))+~P24(f337(f337(f252(a884),x82384),f337(f198(f885(x82381)),f180(x82381,x82382,x82383))))
% 198.12/198.41 [8325]~P70(x83251)+E(f337(f337(f6(a884,x83251),f337(f337(f8(a884,x83251,a884),x83252),a115)),f337(f307(a884,x83253),x83254)),f337(f337(f6(a884,x83251),x83252),f337(f307(a884,f337(a115,x83253)),f337(a115,x83254))))
% 198.12/198.41 [8334]~P70(x83341)+E(f337(f337(f6(a884,x83341),f337(f337(f8(a884,x83341,a884),x83342),a115)),f308(a884,x83343,x83344)),f337(f337(f6(a884,x83341),x83342),f308(a884,f337(a115,x83343),f337(a115,x83344))))
% 198.12/198.41 [8459]~P21(x84591,x84593,x84594,f260(f893(x84591,a878)))+P21(x84591,f893(x84592,x84593),f337(f337(f8(x84593,f893(x84592,x84593),x84591),f16(x84593,x84592)),x84594),f260(f893(x84591,a878)))
% 198.12/198.41 [8541]~P21(x85412,x85411,x85414,x85413)+E(f337(f316(x85411,x85412,f78(x85412,x85411,x85413,x85414)),f337(f316(x85412,x85411,x85414),x85413)),x85413)
% 198.12/198.41 [8599]~P24(f337(f337(f339(f892(x85991,x85991)),f337(f337(f272(x85991,x85991),x85992),x85994)),f269(x85991,x85993)))+P24(f337(f337(f339(x85991),x85992),x85993))
% 198.12/198.41 [8687]E(f337(f337(f337(f73(x86871,f887(x86872)),f337(f16(f887(x86872),x86871),f210(x86872))),x86873),f337(f209(x86872),f833(x86873,x86874,x86872,x86871))),x86874)+~E(f187(x86871,x86872,x86874),f337(f337(f315(x86871),x86873),f197(f893(x86871,a878))))
% 198.12/198.41 [8810]~E(f337(f337(f6(x88101,a884),x88104),x88103),f337(a115,x88102))+P24(f337(f337(f339(x88101),f358(x88102,x88103,x88104,x88101)),x88103))
% 198.12/198.41 [8830]~E(f337(f337(f6(x88304,a884),x88301),x88303),f337(a115,x88302))+P24(f337(f337(f252(a884),f2(a884)),f337(x88301,f358(x88302,x88303,x88301,x88304))))
% 198.12/198.41 [8841]~P24(f337(f62(x88412),x88414))+P24(f337(f337(f251(a884),f337(f38(x88411),f337(f316(x88412,x88411,x88413),x88414))),f337(f38(x88412),x88414)))
% 198.12/198.41 [8842]E(f337(f337(f272(x88421,x88422),f658(x88423,x88424,x88422,x88421)),f659(x88423,x88424,x88422,x88421)),x88424)+~P24(f337(f337(f339(f892(x88421,x88422)),x88424),f337(f292(x88422,x88421),x88423)))
% 198.12/198.41 [8850]P21(x88501,x88502,x88503,x88504)+P24(f337(f337(f339(x88501),f512(x88504,x88503,x88502,x88501)),x88504))
% 198.12/198.41 [8851]P21(x88511,x88512,x88513,x88514)+P24(f337(f337(f339(x88511),f513(x88514,x88513,x88512,x88511)),x88514))
% 198.12/198.41 [8912]P9(x89121,x89122,x89123,x89124)+P24(f337(f337(f339(f892(x89121,x89121)),f560(x89124,x89123,x89122,x89121)),x89123))
% 198.12/198.41 [8972]P24(f337(x89721,x89722))+~P24(f337(x89721,f337(f337(f272(x89723,x89724),f483(x89724,x89723,x89721)),f484(x89724,x89723,x89721))))
% 198.12/198.41 [8986]E(f337(f198(f885(x89861)),x89862),f337(f198(f885(x89861)),x89863))+~P24(f337(f337(f339(f892(f885(x89861),f885(x89861))),f337(f337(f272(f885(x89861),f885(x89861)),x89862),x89863)),f147(x89861,x89864)))
% 198.12/198.41 [8989]E(f337(f198(f885(x89891)),x89892),f337(f198(f885(x89891)),x89893))+~P24(f337(f337(f339(f892(f885(x89891),f885(x89891))),f337(f337(f272(f885(x89891),f885(x89891)),x89892),x89893)),f160(x89891,x89894)))
% 198.12/198.41 [8990]E(f337(f198(f885(x89901)),x89902),f337(f198(f885(x89901)),x89903))+~P24(f337(f337(f339(f892(f885(x89901),f885(x89901))),f337(f337(f272(f885(x89901),f885(x89901)),x89902),x89903)),f159(x89901,x89904)))
% 198.12/198.41 [9061]P24(f337(f337(f251(a884),f157(x90611,x90612,x90613)),f157(x90611,x90614,x90613)))+P24(f337(f337(f339(x90611),f719(x90614,x90612,x90613,x90611)),f337(f175(x90611),x90613)))
% 198.12/198.41 [9064]E(f337(f198(f885(x90641)),x90642),f337(f198(f885(x90641)),x90643))+~P24(f337(f337(f339(f892(f885(x90641),f885(x90641))),f337(f337(f272(f885(x90641),f885(x90641)),x90642),x90643)),f313(f885(x90641),f159(x90641,x90644))))
% 198.12/198.41 [9294]~P21(x92941,x92942,x92943,x92944)+~P24(f337(f337(f252(a884),f337(f38(x92942),f337(f316(x92941,x92942,x92943),x92944))),f337(f38(x92941),x92944)))
% 198.12/198.41 [9335]~P24(f337(f337(f339(f892(f885(x93351),f885(x93351))),f337(f337(f272(f885(x93351),f885(x93351)),x93352),x93353)),f159(x93351,x93354)))+P24(f337(f337(f339(f892(f885(x93351),f885(x93351))),f337(f337(f272(f885(x93351),f885(x93351)),x93352),x93353)),f160(x93351,f313(x93351,x93354))))
% 198.12/198.41 [9339]~P24(f337(f337(f339(f892(f885(x93391),f885(x93391))),f337(f337(f272(f885(x93391),f885(x93391)),x93392),x93393)),f160(x93391,x93394)))+P24(f337(f337(f339(f892(f885(x93391),f885(x93391))),f337(f337(f272(f885(x93391),f885(x93391)),x93392),x93393)),f313(f885(x93391),f159(x93391,x93394))))
% 198.12/198.41 [9356]P24(f337(f337(f339(f892(x93561,x93561)),f337(f337(f272(x93561,x93561),x93562),x93563)),f313(x93561,x93564)))+~P24(f337(f337(f339(f892(x93561,x93561)),f337(f337(f272(x93561,x93561),x93562),x93563)),f337(f337(f294(x93561,x93561,x93561),x93564),f313(x93561,x93564))))
% 198.12/198.41 [9538]E(f337(f337(f136(x95381),f704(x95382,x95383,x95384,x95381)),f337(f337(f153(x95381),f705(x95382,x95383,x95384,x95381)),f707(x95382,x95383,x95384,x95381))),x95384)+~P24(f337(f337(f339(f892(f885(x95381),f885(x95381))),f337(f337(f272(f885(x95381),f885(x95381)),x95384),x95383)),f159(x95381,x95382)))
% 198.12/198.41 [9539]E(f337(f337(f136(x95391),f704(x95392,x95393,x95394,x95391)),f337(f337(f153(x95391),f706(x95392,x95393,x95394,x95391)),f707(x95392,x95393,x95394,x95391))),x95393)+~P24(f337(f337(f339(f892(f885(x95391),f885(x95391))),f337(f337(f272(f885(x95391),f885(x95391)),x95394),x95393)),f159(x95391,x95392)))
% 198.12/198.41 [9615]P24(f337(f337(f339(f892(x96151,x96151)),f337(f337(f272(x96151,x96151),x96152),f617(x96153,x96154,x96152,x96151))),f313(x96151,x96153)))+~P24(f337(f337(f339(f892(x96151,x96151)),f337(f337(f272(x96151,x96151),x96152),x96154)),f337(f337(f294(x96151,x96151,x96151),x96153),f313(x96151,x96153))))
% 198.12/198.41 [9684]P24(f337(f337(f251(a884),f157(x96841,x96842,x96843)),f157(x96841,x96844,x96843)))+~P24(f337(f337(f252(a884),f337(x96842,f719(x96844,x96842,x96843,x96841))),f337(x96844,f719(x96844,x96842,x96843,x96841))))
% 198.12/198.41 [9752]P24(f337(f337(f339(f892(x97521,x97521)),f337(f337(f272(x97521,x97521),f616(x97522,x97523,x97524,x97521)),x97523)),f313(x97521,x97522)))+~P24(f337(f337(f339(f892(x97521,x97521)),f337(f337(f272(x97521,x97521),x97524),x97523)),f337(f337(f294(x97521,x97521,x97521),x97522),f313(x97521,x97522))))
% 198.12/198.41 [5266]~E(x52662,x52663)+E(f173(x52661,x52662,f337(f337(f153(x52661),x52663),x52664)),x52664)
% 198.12/198.41 [5395]P24(f337(x53952,x53953))+E(f180(x53951,x53952,f337(f337(f153(x53951),x53953),x53954)),f116(x53951))
% 198.12/198.41 [5464]~P87(x54642)+E(f337(f337(f80(f893(x54641,x54642)),x54643),x54644),f337(f80(x54642),f337(x54643,x54644)))
% 198.12/198.41 [5476]~E(x54762,f2(a884))+E(f337(f337(f140(x54761),x54762),f337(f337(f153(x54761),x54763),x54764)),f337(f337(f153(x54761),x54763),x54764))
% 198.12/198.41 [5477]P24(f337(x54772,x54773))+E(f337(f138(x54771,x54772),f337(f337(f153(x54771),x54773),x54774)),f337(f138(x54771,x54772),x54774))
% 198.12/198.41 [5610]~E(x56102,x56104)+P24(f337(f337(f337(f315(x56101),x56102),x56103),x56104))
% 198.12/198.41 [5618]E(x56181,f116(x56182))+E(f146(x56183,f337(f337(f156(x56182,x56183),x56184),x56181)),f337(x56184,f146(x56182,x56181)))
% 198.12/198.41 [5632]~E(x56321,f64(x56322,x56324))+E(f337(x56321,f337(f337(f315(x56322),x56323),f197(f893(x56322,a878)))),x56323)
% 198.12/198.41 [5667]E(x56671,f116(x56672))+E(f337(f143(x56673),f337(f337(f156(x56672,x56673),x56674),x56671)),f337(x56674,f337(f143(x56672),x56671)))
% 198.12/198.41 [5770]~P24(f337(x57703,x57704))+P24(f337(f337(f337(f315(x57701),x57702),x57703),x57704))
% 198.12/198.41 [5887]~P14(x58872,x58874,x58871)+E(f337(x58871,f337(f337(f315(x58872),x58873),f197(f893(x58872,a878)))),x58873)
% 198.12/198.41 [5911]~E(x59112,x59113)+P24(f337(f337(f339(x59111),x59112),f337(f337(f315(x59111),x59113),x59114)))
% 198.12/198.41 [5915]~P64(x59151)+E(f337(f337(f113(x59151),x59152),f337(f337(f113(x59151),x59153),x59154)),f337(f337(f113(x59151),x59153),f337(f337(f113(x59151),x59152),x59154)))
% 198.12/198.41 [5917]~P100(x59171)+E(f337(f337(f113(x59171),x59172),f337(f337(f113(x59171),x59173),x59174)),f337(f337(f113(x59171),x59173),f337(f337(f113(x59171),x59172),x59174)))
% 198.12/198.41 [5918]~P110(x59181)+E(f337(f337(f82(x59181),x59182),f337(f337(f82(x59181),x59183),x59184)),f337(f337(f82(x59181),x59183),f337(f337(f82(x59181),x59182),x59184)))
% 198.12/198.41 [5919]~P64(x59191)+E(f337(f337(f104(x59191),x59192),f337(f337(f104(x59191),x59193),x59194)),f337(f337(f104(x59191),x59193),f337(f337(f104(x59191),x59192),x59194)))
% 198.12/198.41 [5921]~P101(x59211)+E(f337(f337(f104(x59211),x59212),f337(f337(f104(x59211),x59213),x59214)),f337(f337(f104(x59211),x59213),f337(f337(f104(x59211),x59212),x59214)))
% 198.12/198.41 [5922]~P110(x59221)+E(f337(f337(f81(x59221),x59222),f337(f337(f81(x59221),x59223),x59224)),f337(f337(f81(x59221),x59223),f337(f337(f81(x59221),x59222),x59224)))
% 198.12/198.41 [5924]~P105(x59241)+E(f337(f337(f249(x59241),x59242),f337(f337(f249(x59241),x59243),x59244)),f337(f337(f249(x59241),x59243),f337(f337(f249(x59241),x59242),x59244)))
% 198.12/198.41 [5926]~P105(x59261)+E(f337(f337(f250(x59261),x59262),f337(f337(f250(x59261),x59263),x59264)),f337(f337(f250(x59261),x59263),f337(f337(f250(x59261),x59262),x59264)))
% 198.12/198.41 [5931]E(x59311,x59312)+E(f173(x59313,x59311,f337(f337(f153(x59313),x59312),x59314)),f337(f337(f153(x59313),x59312),f173(x59313,x59311,x59314)))
% 198.12/198.41 [5944]~P24(f337(x59442,x59443))+E(f337(f138(x59441,x59442),f337(f337(f153(x59441),x59443),x59444)),f337(f337(f153(x59441),x59443),f337(f138(x59441,x59442),x59444)))
% 198.12/198.41 [6080]~P24(f337(x60802,x60803))+E(f180(x60801,x60802,f337(f337(f153(x60801),x60803),x60804)),f337(f337(f153(x60801),x60803),f180(x60801,x60802,x60804)))
% 198.12/198.41 [6131]P20(x61311,x61312,x61313)+~P20(x61311,x61312,f337(f337(f315(f882(x61311)),x61314),x61313))
% 198.12/198.41 [6144]E(x61441,f197(f893(x61442,a878)))+E(f337(f337(f42(x61442,f893(x61443,a878)),x61441),f337(f16(f893(x61443,a878),x61442),x61444)),x61444)
% 198.12/198.41 [6145]E(x61451,f197(f893(x61452,a878)))+E(f337(f337(f43(x61452,f893(x61453,a878)),x61451),f337(f16(f893(x61453,a878),x61452),x61454)),x61454)
% 198.12/198.41 [6154]~E(x61544,f197(f893(x61542,a878)))+E(f337(f337(f274(x61541,x61542),x61543),f337(f16(f893(x61542,a878),x61541),x61544)),f197(f893(f892(x61541,x61542),a878)))
% 198.12/198.41 [6155]~E(x61553,f197(f893(x61551,a878)))+E(f337(f337(f274(x61551,x61552),x61553),f337(f16(f893(x61552,a878),x61551),x61554)),f197(f893(f892(x61551,x61552),a878)))
% 198.12/198.41 [6203]E(x62031,f2(a884))+E(f337(f337(f140(x62032),x62031),f337(f337(f153(x62032),x62033),x62034)),f337(f337(f140(x62032),f337(f337(f22(a884),x62031),f79(a884))),x62034))
% 198.12/198.41 [6233]E(x62331,f197(f893(x62332,a878)))+E(f337(f316(x62332,x62333,f337(f16(x62333,x62332),x62334)),x62331),f337(f337(f315(x62333),x62334),f197(f893(x62333,a878))))
% 198.12/198.41 [6236]E(f337(f317(x62361,x62362,f337(f16(x62362,x62361),x62363)),x62364),f197(f893(x62361,a878)))+P24(f337(f337(f339(x62362),x62363),x62364))
% 198.12/198.41 [6303]~E(x63033,f197(f893(x63031,a878)))+E(f337(f337(f42(x63031,f893(x63032,a878)),x63033),f337(f16(f893(x63032,a878),x63031),x63034)),f197(f893(x63032,a878)))
% 198.12/198.41 [6304]~E(x63043,f197(f893(x63041,a878)))+E(f337(f337(f43(x63041,f893(x63042,a878)),x63043),f337(f16(f893(x63042,a878),x63041),x63044)),f260(f893(x63042,a878)))
% 198.12/198.41 [6306]~P26(x63061)+E(f45(x63061,f337(f337(f82(x63061),x63062),x63063),f337(f337(f82(x63061),x63062),x63064)),f337(f337(f82(x63061),x63062),f45(x63061,x63063,x63064)))
% 198.12/198.41 [6470]E(f337(f317(x64701,x64702,f337(f16(x64702,x64701),x64703)),x64704),f260(f893(x64701,a878)))+~P24(f337(f337(f339(x64702),x64703),x64704))
% 198.12/198.41 [6494]~P24(f337(f337(f339(x64941),x64942),x64944))+P24(f337(f337(f339(x64941),x64942),f337(f337(f315(x64941),x64943),x64944)))
% 198.12/198.41 [6499]P24(f337(x64991,x64992))+~P24(f337(f162(x64993,x64991),f337(f337(f153(x64993),x64992),x64994)))
% 198.12/198.41 [6508]~E(x65083,f337(f337(f22(a884),f337(f198(f885(x65081)),x65082)),f79(a884)))+E(f117(x65081,f337(f337(f161(x65081,x65082),x65083),x65084)),f117(x65081,x65082))
% 198.12/198.41 [6527]~P105(x65271)+E(f337(f337(f104(f893(x65271,a878)),f337(f306(x65271),x65272)),f308(x65271,x65273,x65274)),f308(x65271,x65273,f337(f337(f249(x65271),x65272),x65274)))
% 198.12/198.41 [6528]~P105(x65281)+E(f337(f337(f104(f893(x65281,a878)),f337(f259(x65281),x65282)),f308(x65281,x65283,x65284)),f308(x65281,f337(f337(f250(x65281),x65282),x65283),x65284))
% 198.12/198.41 [6543]E(f337(f337(f104(f893(x65431,a878)),x65432),f337(f337(f315(x65431),x65433),x65434)),f337(f337(f104(f893(x65431,a878)),x65432),x65434))+P24(f337(f337(f339(x65431),x65433),x65432))
% 198.12/198.41 [6555]E(f173(x65551,x65552,f337(f337(f136(x65551),x65553),x65554)),f337(f337(f136(x65551),x65553),f173(x65551,x65552,x65554)))+P24(f337(f337(f339(x65551),x65552),f337(f175(x65551),x65553)))
% 198.12/198.41 [6560]~P80(x65601)+E(f337(f337(f82(x65601),f337(f337(f262(x65601),x65602),x65603)),f337(f337(f262(x65601),x65602),x65604)),f337(f337(f262(x65601),x65602),f337(f337(f81(a884),x65603),x65604)))
% 198.12/198.41 [6561]~P110(x65611)+E(f337(f337(f82(x65611),f337(f337(f262(x65611),x65612),x65613)),f337(f337(f262(x65611),x65612),x65614)),f337(f337(f262(x65611),x65612),f337(f337(f81(a884),x65613),x65614)))
% 198.12/198.41 [6599]~P98(x65991)+E(f337(f337(f104(x65991),f337(f337(f113(x65991),x65992),x65993)),f337(f337(f113(x65991),x65992),x65994)),f337(f337(f113(x65991),x65992),f337(f337(f104(x65991),x65993),x65994)))
% 198.12/198.41 [6600]~P110(x66001)+E(f337(f337(f81(x66001),f337(f337(f82(x66001),x66002),x66003)),f337(f337(f82(x66001),x66002),x66004)),f337(f337(f82(x66001),x66002),f337(f337(f81(x66001),x66003),x66004)))
% 198.12/198.41 [6601]~P98(x66011)+E(f337(f337(f113(x66011),f337(f337(f104(x66011),x66012),x66013)),f337(f337(f104(x66011),x66012),x66014)),f337(f337(f104(x66011),x66012),f337(f337(f113(x66011),x66013),x66014)))
% 198.12/198.41 [6602]~P105(x66021)+E(f337(f337(f250(x66021),f337(f337(f249(x66021),x66022),x66023)),f337(f337(f249(x66021),x66022),x66024)),f337(f337(f249(x66021),x66022),f337(f337(f250(x66021),x66023),x66024)))
% 198.12/198.41 [6603]~P105(x66031)+E(f337(f337(f249(x66031),f337(f337(f250(x66031),x66032),x66033)),f337(f337(f250(x66031),x66032),x66034)),f337(f337(f250(x66031),x66032),f337(f337(f249(x66031),x66033),x66034)))
% 198.12/198.41 [6634]~P26(x66341)+E(f45(x66341,f337(f337(f82(x66341),x66342),x66343),f337(f337(f82(x66341),x66344),x66343)),f337(f337(f82(x66341),f45(x66341,x66342,x66344)),x66343))
% 198.12/198.41 [6637]~E(f337(f198(f885(x66371)),x66373),f337(f198(f885(x66372)),x66374))+E(f337(f337(f156(f892(x66371,x66372),x66372),f275(x66371,x66372)),f337(f337(f185(x66371,x66372),x66373),x66374)),x66374)
% 198.12/198.41 [6638]~E(f337(f198(f885(x66381)),x66383),f337(f198(f885(x66382)),x66384))+E(f337(f337(f156(f892(x66381,x66382),x66381),f271(x66381,x66382)),f337(f337(f185(x66381,x66382),x66383),x66384)),x66383)
% 198.12/198.41 [6644]P24(f337(f162(x66441,x66442),x66443))+~P24(f337(f162(x66441,x66442),f337(f337(f153(x66441),x66444),x66443)))
% 198.12/198.41 [6645]P24(f337(f162(x66451,x66452),x66453))+~P24(f337(f162(x66451,x66452),f337(f337(f136(x66451),x66454),x66453)))
% 198.12/198.41 [6646]P24(f337(f162(x66461,x66462),x66463))+~P24(f337(f162(x66461,x66462),f337(f337(f136(x66461),x66463),x66464)))
% 198.12/198.41 [6651]~P27(x66511)+E(f45(x66511,f337(f337(f22(x66511),x66512),f45(x66511,x66513,x66514)),x66514),f45(x66511,f337(f337(f22(x66511),x66512),x66513),x66514))
% 198.12/198.41 [6652]~P26(x66521)+E(f45(x66521,f337(f337(f82(x66521),x66522),f45(x66521,x66523,x66524)),x66524),f45(x66521,f337(f337(f82(x66521),x66522),x66523),x66524))
% 198.12/198.41 [6654]~P26(x66541)+E(f45(x66541,f337(f337(f81(x66541),x66542),f45(x66541,x66543,x66544)),x66544),f45(x66541,f337(f337(f81(x66541),x66542),x66543),x66544))
% 198.12/198.41 [6733]~P105(x67331)+E(f337(f337(f104(f893(x67331,a878)),f308(x67331,x67332,x67333)),f337(f306(x67331),x67334)),f308(x67331,x67332,f337(f337(f249(x67331),x67333),x67334)))
% 198.12/198.41 [6734]~P105(x67341)+E(f337(f337(f104(f893(x67341,a878)),f308(x67341,x67342,x67343)),f337(f259(x67341),x67344)),f308(x67341,f337(f337(f250(x67341),x67342),x67344),x67343))
% 198.12/198.41 [6737]~E(f337(f198(f885(x67371)),x67373),f337(f198(f885(x67372)),x67374))+E(f337(f337(f185(x67371,x67372),f337(f171(x67371),x67373)),f337(f171(x67372),x67374)),f337(f171(f892(x67371,x67372)),f337(f337(f185(x67371,x67372),x67373),x67374)))
% 198.12/198.41 [6747]E(x67471,f337(f337(f22(a884),f337(f198(f885(x67472)),x67473)),f79(a884)))+E(f117(x67472,f337(f337(f161(x67472,x67473),x67471),x67474)),f337(f337(f161(x67472,f117(x67472,x67473)),x67471),x67474))
% 198.12/198.41 [6762]~P24(f337(f139(x67622),x67624))+P24(f337(f139(f892(x67621,x67622)),f337(f337(f185(x67621,x67622),x67623),x67624)))
% 198.12/198.41 [6763]~P24(f337(f139(x67631),x67633))+P24(f337(f139(f892(x67631,x67632)),f337(f337(f185(x67631,x67632),x67633),x67634)))
% 198.12/198.41 [7025]E(f337(f337(f39(a884),x70251),x70252),x70253)+~P24(f337(f48(x70251,x70252),f337(f337(f272(a884,a884),x70253),x70254)))
% 198.12/198.41 [7049]E(f45(a884,x70491,x70492),x70493)+~P24(f337(f48(x70491,x70492),f337(f337(f272(a884,a884),x70494),x70493)))
% 198.12/198.41 [7052]P24(f337(f139(x70521),x70522))+~P24(f337(f139(x70523),f337(f337(f156(x70521,x70523),x70524),x70522)))
% 198.12/198.41 [7060]~P20(x70601,x70602,f337(f337(f315(f882(x70601)),x70603),x70604))+P20(x70601,x70602,f337(f337(f315(f882(x70601)),x70603),f197(f893(f882(x70601),a878))))
% 198.12/198.41 [7138]E(f173(x71381,x71382,f337(f337(f136(x71381),x71383),x71384)),f337(f337(f136(x71381),f173(x71381,x71382,x71383)),x71384))+~P24(f337(f337(f339(x71381),x71382),f337(f175(x71381),x71383)))
% 198.12/198.41 [7229]~P27(x72291)+E(f45(x72291,f337(f337(f22(x72291),f45(x72291,x72292,x72293)),x72294),x72293),f45(x72291,f337(f337(f22(x72291),x72292),x72294),x72293))
% 198.12/198.41 [7232]~P26(x72321)+E(f45(x72321,f337(f337(f82(x72321),f45(x72321,x72322,x72323)),x72324),x72323),f45(x72321,f337(f337(f82(x72321),x72322),x72324),x72323))
% 198.12/198.41 [7233]~P26(x72331)+E(f45(x72331,f337(f337(f81(x72331),f45(x72331,x72332,x72333)),x72334),x72333),f45(x72331,f337(f337(f81(x72331),x72332),x72334),x72333))
% 198.12/198.41 [7423]~E(x74231,f337(f337(f153(x74232),x74233),x74234))+~P24(f337(f337(f251(a884),f337(f198(f885(x74232)),x74231)),f337(f198(f885(x74232)),x74234)))
% 198.12/198.41 [7499]~E(f337(f181(x74991,x74992),x74993),f337(f181(x74991,x74992),x74994))+E(f337(f316(f892(x74991,x74992),x74991,f271(x74991,x74992)),f337(f175(f892(x74991,x74992)),x74993)),f337(f316(f892(x74991,x74992),x74991,f271(x74991,x74992)),f337(f175(f892(x74991,x74992)),x74994)))
% 198.12/198.41 [7634]P21(x76341,x76342,x76343,f337(f175(x76341),x76344))+~P24(f337(f139(x76342),f337(f337(f156(x76341,x76342),x76343),x76344)))
% 198.12/198.41 [7708]~P24(f337(f337(f251(f893(x77081,a878)),x77082),x77084))+P24(f337(f337(f251(f893(x77081,a878)),x77082),f337(f337(f315(x77081),x77083),x77084)))
% 198.12/198.41 [7742]~P27(x77421)+E(f45(x77421,f337(f337(f22(x77421),f45(x77421,x77422,x77423)),f45(x77421,x77424,x77423)),x77423),f45(x77421,f337(f337(f22(x77421),x77422),x77424),x77423))
% 198.12/198.41 [7743]~P26(x77431)+E(f45(x77431,f337(f337(f82(x77431),f45(x77431,x77432,x77433)),f45(x77431,x77434,x77433)),x77433),f45(x77431,f337(f337(f82(x77431),x77432),x77434),x77433))
% 198.12/198.41 [7744]~P26(x77441)+E(f45(x77441,f337(f337(f81(x77441),f45(x77441,x77442,x77443)),f45(x77441,x77444,x77443)),x77443),f45(x77441,f337(f337(f81(x77441),x77442),x77444),x77443))
% 198.12/198.41 [7849]~E(f337(x78494,f458(x78494,x78493,x78491,x78492)),f197(f893(x78492,a878)))+E(f337(f337(f42(x78491,f893(x78492,a878)),x78493),x78494),f197(f893(x78492,a878)))
% 198.12/198.41 [7850]~E(f337(x78504,f608(x78504,x78503,x78501,x78502)),f260(f893(x78502,a878)))+E(f337(f337(f43(x78501,f893(x78502,a878)),x78503),x78504),f260(f893(x78502,a878)))
% 198.12/198.41 [7851]~E(f337(x78514,f468(x78514,x78513,x78512,x78511)),f197(f893(x78512,a878)))+E(f337(f337(f42(x78511,f893(x78512,a878)),x78513),x78514),f197(f893(x78512,a878)))
% 198.12/198.41 [7852]~E(f337(x78524,f627(x78524,x78523,x78522,x78521)),f260(f893(x78522,a878)))+E(f337(f337(f43(x78521,f893(x78522,a878)),x78523),x78524),f260(f893(x78522,a878)))
% 198.12/198.41 [8239]P24(f337(x82391,x82392))+~P24(f337(f337(f339(x82393),x82392),f337(f337(f104(f893(x82393,a878)),x82394),f337(f257(x82393),x82391))))
% 198.12/198.41 [8278]~P24(f337(f337(f251(f893(x82781,a878)),x82783),x82784))+P24(f337(f337(f251(f893(x82781,a878)),f337(f337(f315(x82781),x82782),x82783)),f337(f337(f315(x82781),x82782),x82784)))
% 198.12/198.41 [8451]P24(f337(x84512,x84513))+E(f337(f337(f140(x84511),f337(f198(f885(x84511)),f180(x84511,x84512,f337(f337(f153(x84511),x84513),x84514)))),f337(f337(f153(x84511),x84513),x84514)),f337(f337(f153(x84511),x84513),x84514))
% 198.12/198.41 [8555]~P24(f337(f337(f252(a884),f337(x85554,x85552)),f337(x85554,x85553)))+P24(f337(f337(f339(f892(x85551,x85551)),f337(f337(f272(x85551,x85551),x85552),x85553)),f337(f337(f293(a884,x85551),a256),x85554)))
% 198.12/198.41 [8645]~P24(f337(x86452,f772(x86454,x86452,x86453,x86451)))+E(f180(x86451,x86452,f337(f337(f136(x86451),x86453),x86454)),f337(f337(f136(x86451),x86453),f180(x86451,x86452,x86454)))
% 198.12/198.41 [8715]P21(f885(x87151),f885(x87152),f337(f156(x87151,x87152),x87153),x87154)+~P21(x87151,x87152,x87153,f40(f893(x87151,a878),f337(f316(f885(x87151),f893(x87151,a878),f175(x87151)),x87154)))
% 198.12/198.41 [8782]~P24(f337(x87822,x87823))+E(f337(f337(f140(x87821),f337(f198(f885(x87821)),f180(x87821,x87822,f337(f337(f153(x87821),x87823),x87824)))),f337(f337(f153(x87821),x87823),x87824)),f337(f337(f140(x87821),f337(f198(f885(x87821)),f180(x87821,x87822,x87824))),x87824))
% 198.12/198.41 [8821]~E(x88212,x88213)+E(f337(f138(x88211,f337(f337(f8(a878,a878,x88211),a332),f337(a334,x88212))),f337(f337(f153(x88211),x88213),x88214)),f337(f138(x88211,f337(f337(f8(a878,a878,x88211),a332),f337(a334,x88212))),x88214))
% 198.12/198.41 [8831]E(f337(f337(f42(x88311,f893(x88312,a878)),x88313),x88314),f197(f893(x88312,a878)))+P24(f337(f337(f339(x88311),f458(x88314,x88313,x88311,x88312)),x88313))
% 198.12/198.41 [8832]E(f337(f337(f43(x88321,f893(x88322,a878)),x88323),x88324),f260(f893(x88322,a878)))+P24(f337(f337(f339(x88321),f608(x88324,x88323,x88321,x88322)),x88323))
% 198.12/198.41 [8833]E(f337(f337(f42(x88331,f893(x88332,a878)),x88333),x88334),f197(f893(x88332,a878)))+P24(f337(f337(f339(x88331),f468(x88334,x88333,x88332,x88331)),x88333))
% 198.12/198.41 [8834]E(f337(f337(f43(x88341,f893(x88342,a878)),x88343),x88344),f260(f893(x88342,a878)))+P24(f337(f337(f339(x88341),f627(x88344,x88343,x88342,x88341)),x88343))
% 198.12/198.41 [8870]P24(f337(f337(f252(a884),f337(x88701,x88702)),f337(x88701,x88703)))+~P24(f337(f337(f339(f892(x88704,x88704)),f337(f337(f272(x88704,x88704),x88702),x88703)),f337(f337(f293(a884,x88704),a256),x88701)))
% 198.12/198.41 [8891]E(f180(x88911,x88912,f337(f337(f136(x88911),x88913),x88914)),f337(f337(f136(x88911),x88913),f180(x88911,x88912,x88914)))+P24(f337(f337(f339(x88911),f772(x88914,x88912,x88913,x88911)),f337(f175(x88911),x88913)))
% 198.12/198.41 [9050]P24(f337(f337(f339(x90501),f500(x90502,x90503,x90504,x90501)),x90503))+~P24(f337(f337(f339(f893(x90501,a878)),x90504),f337(f337(f61(x90501),x90503),x90502)))
% 198.12/198.41 [9053]E(x90531,x90532)+~P24(f337(f337(f339(f892(x90533,x90533)),f337(f337(f272(x90533,x90533),x90531),x90532)),f337(f337(f192(f892(x90533,x90533),a878),f2(a884)),x90534)))
% 198.12/198.41 [9131]E(f337(f291(x91311,x91311,x91312),f337(f337(f315(x91311),f500(x91312,x91313,x91314,x91311)),f197(f893(x91311,a878)))),x91314)+~P24(f337(f337(f339(f893(x91311,a878)),x91314),f337(f337(f61(x91311),x91313),x91312)))
% 198.12/198.41 [9138]~P24(f337(f337(f339(f892(x91381,x91381)),f337(f337(f272(x91381,x91381),x91383),x91382)),f313(x91381,x91384)))+P24(f337(f337(f339(f892(x91381,x91381)),f337(f337(f272(x91381,x91381),x91382),x91383)),f313(x91381,f337(f292(x91381,x91381),x91384))))
% 198.12/198.41 [9151]~P26(x91511)+E(f337(f337(f81(x91511),f337(f337(f81(x91511),f337(f337(f82(x91511),x91512),f337(f337(f39(x91511),x91513),x91512))),f45(x91511,x91513,x91512))),x91514),f337(f337(f81(x91511),x91513),x91514))
% 198.12/198.41 [9161]~P24(f337(f337(f339(x91611),x91613),x91614))+P24(f337(f337(f339(f893(x91611,a878)),f337(f291(x91611,x91611,x91612),f337(f337(f315(x91611),x91613),f197(f893(x91611,a878))))),f337(f337(f61(x91611),x91614),x91612)))
% 198.12/198.41 [9172]P24(f337(f337(f339(f892(x91721,x91721)),f337(f337(f272(x91721,x91721),x91722),x91723)),f313(x91721,x91724)))+~P24(f337(f337(f339(f892(x91721,x91721)),f337(f337(f272(x91721,x91721),x91723),x91722)),f313(x91721,f337(f292(x91721,x91721),x91724))))
% 198.12/198.41 [9255]E(f337(f337(f161(x92551,f337(f171(x92551),x92552)),f337(f337(f22(a884),f337(f337(f22(a884),f337(f198(f885(x92551)),x92552)),x92553)),f79(a884))),x92554),f337(f171(x92551),f337(f337(f161(x92551,x92552),x92553),x92554)))+~P24(f337(f337(f252(a884),x92553),f337(f198(f885(x92551)),x92552)))
% 198.12/198.41 [9258]~P24(f337(x92582,f765(x92584,x92582,x92583,x92581)))+E(f337(f337(f140(x92581),f337(f198(f885(x92581)),f180(x92581,x92582,f337(f337(f136(x92581),x92583),x92584)))),f337(f337(f136(x92581),x92583),x92584)),f337(f337(f140(x92581),f337(f198(f885(x92581)),f180(x92581,x92582,x92584))),x92584))
% 198.12/198.41 [9300]~P21(x93002,x93001,x93003,f260(f893(x93002,a878)))+P24(f337(f337(f251(f893(x93001,a878)),f337(f316(x93002,x93001,x93003),f337(f80(f893(x93002,a878)),x93004))),f337(f80(f893(x93001,a878)),f337(f316(x93002,x93001,x93003),x93004))))
% 198.12/198.41 [9310]~P28(x93101)+E(f337(f144(x93101,x93102,f337(f7(x93102,x93101,x93101),f337(f337(f8(x93101,f893(x93101,x93101),x93102),f113(x93101)),x93103)),f197(x93101)),x93104),f337(f337(f42(x93102,x93101),f337(f175(x93102),x93104)),x93103))
% 198.12/198.41 [9311]~P28(x93111)+E(f337(f144(x93111,x93112,f337(f7(x93112,x93111,x93111),f337(f337(f8(x93111,f893(x93111,x93111),x93112),f104(x93111)),x93113)),f260(x93111)),x93114),f337(f337(f43(x93112,x93111),f337(f175(x93112),x93114)),x93113))
% 198.12/198.41 [9321]E(f337(f337(f140(x93211),f337(f198(f885(x93211)),f180(x93211,x93212,f337(f337(f136(x93211),x93213),x93214)))),f337(f337(f136(x93211),x93213),x93214)),f337(f337(f140(x93211),f337(f198(f885(x93211)),f180(x93211,x93212,x93214))),x93214))+P24(f337(f337(f339(x93211),f765(x93214,x93212,x93213,x93211)),f337(f175(x93211),x93213)))
% 198.12/198.41 [9390]~P24(f337(f337(f339(f892(f885(x93904),f885(x93904))),f337(f337(f272(f885(x93904),f885(x93904)),x93903),x93902)),f159(x93904,x93901)))+P24(f337(f337(f252(a884),f698(x93901,x93902,x93903,x93904)),f337(f198(f885(x93904)),x93903)))
% 198.12/198.41 [9391]~P26(x93911)+E(f337(f337(f81(x93911),f337(f337(f81(x93911),f337(f337(f82(x93911),f337(f337(f39(x93911),x93912),x93913)),x93913)),f45(x93911,x93912,x93913))),x93914),f337(f337(f81(x93911),x93912),x93914))
% 198.12/198.41 [9417]~P24(f337(f337(f339(f892(f885(x94171),f885(x94171))),f337(f337(f272(f885(x94171),f885(x94171)),x94172),x94173)),f337(f292(f885(x94171),f885(x94171)),f159(x94171,x94174))))+P24(f337(f337(f339(f892(f885(x94171),f885(x94171))),f337(f337(f272(f885(x94171),f885(x94171)),x94172),x94173)),f159(x94171,f337(f292(x94171,x94171),x94174))))
% 198.12/198.41 [9418]P24(f337(f337(f339(f892(f885(x94181),f885(x94181))),f337(f337(f272(f885(x94181),f885(x94181)),x94182),x94183)),f337(f292(f885(x94181),f885(x94181)),f159(x94181,x94184))))+~P24(f337(f337(f339(f892(f885(x94181),f885(x94181))),f337(f337(f272(f885(x94181),f885(x94181)),x94182),x94183)),f159(x94181,f337(f292(x94181,x94181),x94184))))
% 198.12/198.41 [9454]~P24(f337(f337(f339(x94541),x94543),f337(f270(x94541,x94542),x94544)))+P24(f337(f337(f339(f892(x94541,x94542)),f337(f337(f272(x94541,x94542),x94543),f532(x94544,x94542,x94543,x94541))),x94544))
% 198.12/198.41 [9455]~P24(f337(f337(f339(x94551),x94553),f337(f270(x94551,x94552),x94554)))+P24(f337(f337(f339(f892(x94551,x94552)),f337(f337(f272(x94551,x94552),x94553),f534(x94554,x94552,x94553,x94551))),x94554))
% 198.12/198.41 [9563]~P24(f337(f62(f887(x95631)),f337(f316(x95632,f887(x95631),x95633),f260(f893(x95632,a878)))))+P24(f337(f62(f887(x95631)),f337(f316(x95632,f887(x95631),f188(x95632,x95631,x95633,f337(f181(x95632,x95631),x95634))),f260(f893(x95632,a878)))))
% 198.12/198.41 [9610]~P24(f337(f337(f339(f892(x96101,x96101)),f337(f337(f272(x96101,x96101),x96102),x96104)),f337(f337(f294(x96101,x96101,x96101),x96103),f313(x96101,x96103))))+P24(f337(f337(f339(f892(x96101,x96101)),f337(f337(f272(x96101,x96101),x96102),f616(x96103,x96104,x96102,x96101))),x96103))
% 198.12/198.41 [9779]~P24(f337(f337(f339(f892(x97792,x97791)),x97794),f337(f292(x97791,x97792),x97793)))+P24(f337(f337(f339(f892(x97791,x97792)),f337(f337(f272(x97791,x97792),f659(x97793,x97794,x97791,x97792)),f658(x97793,x97794,x97791,x97792))),x97793))
% 198.12/198.41 [9807]~P24(f337(f337(f339(f892(f885(x98071),f885(x98071))),f337(f337(f272(f885(x98071),f885(x98071)),x98074),x98073)),f159(x98071,x98072)))+P24(f337(f337(f339(f892(x98071,x98071)),f337(f337(f272(x98071,x98071),f705(x98072,x98073,x98074,x98071)),f706(x98072,x98073,x98074,x98071))),x98072))
% 198.12/198.41 [9902]~P24(f337(f337(f339(f892(f885(x99021),f885(x99021))),f337(f337(f272(f885(x99021),f885(x99021)),x99022),x99024)),f159(x99021,x99023)))+P24(f337(f337(f339(f892(x99021,x99021)),f337(f337(f272(x99021,x99021),f337(f337(f167(x99021),x99022),f698(x99023,x99024,x99022,x99021))),f699(x99023,x99024,x99022,x99021))),x99023))
% 198.12/198.41 [9924]~P24(f337(f62(x99242),x99244))+E(f337(f337(f337(f66(f893(x99241,a878),x99242,f113(f893(x99241,a878))),f337(f337(f7(x99242,f893(x99241,a878),f893(x99241,a878)),f337(f337(f8(x99241,f893(f893(x99241,a878),f893(x99241,a878)),x99242),f315(x99241)),x99243)),f197(f893(x99241,a878)))),f197(f893(x99241,a878))),x99244),f337(f316(x99242,x99241,x99243),x99244))
% 198.12/198.41 [10019]~P21(x100191,x100192,x100193,f260(f893(x100191,a878)))+P24(f337(f337(f251(f893(x100191,a878)),f337(f317(x100191,x100192,x100193),f337(f337(f315(x100192),x100194),f197(f893(x100192,a878))))),f337(f337(f315(x100191),f86(x100191,f337(f337(f7(x100191,x100192,a878),f337(f337(f8(x100192,f893(x100192,a878),x100191),a334),x100193)),x100194))),f197(f893(x100191,a878)))))
% 198.12/198.41 [5676]~E(f337(f337(f136(x56761),x56762),x56764),x56763)+E(f337(f337(f178(x56761),f337(f198(f885(x56761)),x56762)),x56763),x56762)
% 198.12/198.41 [5677]~E(f337(f337(f136(x56772),x56773),x56771),x56774)+E(x56771,f337(f337(f140(x56772),f337(f198(f885(x56772)),x56773)),x56774))
% 198.12/198.41 [5688]~E(x56884,f2(a884))+E(f337(f337(f167(x56881),f337(f337(f153(x56881),x56882),x56883)),x56884),x56882)
% 198.12/198.41 [6216]~P110(x62161)+E(f337(f337(f262(x62161),f337(f337(f262(x62161),x62162),x62163)),x62164),f337(f337(f262(x62161),x62162),f337(f337(f82(a884),x62163),x62164)))
% 198.12/198.41 [6217]~P80(x62171)+E(f337(f337(f262(x62171),f337(f337(f262(x62171),x62172),x62173)),x62174),f337(f337(f262(x62171),x62172),f337(f337(f82(a884),x62173),x62174)))
% 198.12/198.41 [6234]E(x62341,f2(a884))+E(f337(f337(f167(x62342),f337(f337(f153(x62342),x62343),x62344)),x62341),f337(f337(f167(x62342),x62344),f337(f337(f22(a884),x62341),f79(a884))))
% 198.12/198.41 [6260]~P118(x62601)+E(f337(f337(f295(x62601),f337(f337(f82(x62601),x62602),x62603)),x62604),f337(f337(f82(x62601),x62602),f337(f337(f295(x62601),x62603),x62604)))
% 198.12/198.41 [6262]~P64(x62621)+E(f337(f337(f113(x62621),f337(f337(f113(x62621),x62622),x62623)),x62624),f337(f337(f113(x62621),x62622),f337(f337(f113(x62621),x62623),x62624)))
% 198.12/198.41 [6264]~P100(x62641)+E(f337(f337(f113(x62641),f337(f337(f113(x62641),x62642),x62643)),x62644),f337(f337(f113(x62641),x62642),f337(f337(f113(x62641),x62643),x62644)))
% 198.12/198.41 [6265]~P68(x62651)+E(f337(f337(f82(x62651),f337(f337(f82(x62651),x62652),x62653)),x62654),f337(f337(f82(x62651),x62652),f337(f337(f82(x62651),x62653),x62654)))
% 198.12/198.41 [6266]~P110(x62661)+E(f337(f337(f82(x62661),f337(f337(f82(x62661),x62662),x62663)),x62664),f337(f337(f82(x62661),x62662),f337(f337(f82(x62661),x62663),x62664)))
% 198.12/198.41 [6268]~P64(x62681)+E(f337(f337(f104(x62681),f337(f337(f104(x62681),x62682),x62683)),x62684),f337(f337(f104(x62681),x62682),f337(f337(f104(x62681),x62683),x62684)))
% 198.12/198.41 [6270]~P101(x62701)+E(f337(f337(f104(x62701),f337(f337(f104(x62701),x62702),x62703)),x62704),f337(f337(f104(x62701),x62702),f337(f337(f104(x62701),x62703),x62704)))
% 198.12/198.41 [6271]~P69(x62711)+E(f337(f337(f81(x62711),f337(f337(f81(x62711),x62712),x62713)),x62714),f337(f337(f81(x62711),x62712),f337(f337(f81(x62711),x62713),x62714)))
% 198.12/198.41 [6272]~P110(x62721)+E(f337(f337(f81(x62721),f337(f337(f81(x62721),x62722),x62723)),x62724),f337(f337(f81(x62721),x62722),f337(f337(f81(x62721),x62723),x62724)))
% 198.12/198.41 [6274]~P105(x62741)+E(f337(f337(f249(x62741),f337(f337(f249(x62741),x62742),x62743)),x62744),f337(f337(f249(x62741),x62742),f337(f337(f249(x62741),x62743),x62744)))
% 198.12/198.41 [6276]~P105(x62761)+E(f337(f337(f250(x62761),f337(f337(f250(x62761),x62762),x62763)),x62764),f337(f337(f250(x62761),x62762),f337(f337(f250(x62761),x62763),x62764)))
% 198.12/198.41 [6287]~P26(x62871)+E(f45(x62871,f337(f337(f81(x62871),x62872),f337(f337(f82(x62871),x62873),x62874)),x62874),f45(x62871,x62872,x62874))
% 198.12/198.41 [6288]~P26(x62881)+E(f45(x62881,f337(f337(f81(x62881),x62882),f337(f337(f82(x62881),x62883),x62884)),x62883),f45(x62881,x62882,x62883))
% 198.12/198.41 [6419]E(f337(f337(f167(x64191),f337(f337(f178(x64191),x64192),x64193)),x64194),f337(f337(f167(x64191),x64193),x64194))+~P24(f337(f337(f252(a884),x64194),x64192))
% 198.12/198.41 [6595]~E(x65952,x65954)+P24(f337(f337(f175(x65951),f337(f337(f153(x65951),x65952),x65953)),x65954))
% 198.12/198.41 [6597]~P110(x65971)+E(f337(f337(f82(x65971),f337(f337(f82(x65971),x65972),x65973)),x65974),f337(f337(f82(x65971),f337(f337(f82(x65971),x65972),x65974)),x65973))
% 198.12/198.41 [6598]~P110(x65981)+E(f337(f337(f81(x65981),f337(f337(f81(x65981),x65982),x65983)),x65984),f337(f337(f81(x65981),f337(f337(f81(x65981),x65982),x65984)),x65983))
% 198.12/198.41 [6657]~P142(x66572)+E(f337(f337(f6(x66571,x66572),f337(f16(x66572,x66571),x66573)),x66574),f337(f337(f82(x66572),f337(f103(x66572),f337(f38(x66571),x66574))),x66573))
% 198.12/198.41 [6825]E(f337(f337(f104(f893(x68251,a878)),f337(f337(f315(x68251),x68252),x68253)),x68254),f337(f337(f104(f893(x68251,a878)),x68253),x68254))+P24(f337(f337(f339(x68251),x68252),x68254))
% 198.12/198.41 [6895]~P98(x68951)+E(f337(f337(f104(x68951),f337(f337(f113(x68951),x68952),x68953)),f337(f337(f113(x68951),x68954),x68953)),f337(f337(f113(x68951),f337(f337(f104(x68951),x68952),x68954)),x68953))
% 198.12/198.41 [6896]~P78(x68961)+E(f337(f337(f249(x68961),f337(f337(f22(x68961),x68962),x68963)),f337(f337(f22(x68961),x68964),x68963)),f337(f337(f22(x68961),f337(f337(f249(x68961),x68962),x68964)),x68963))
% 198.12/198.41 [6897]~P78(x68971)+E(f337(f337(f250(x68971),f337(f337(f22(x68971),x68972),x68973)),f337(f337(f22(x68971),x68974),x68973)),f337(f337(f22(x68971),f337(f337(f250(x68971),x68972),x68974)),x68973))
% 198.12/198.41 [6899]~P111(x68991)+E(f337(f337(f81(x68991),f337(f337(f82(x68991),x68992),x68993)),f337(f337(f82(x68991),x68994),x68993)),f337(f337(f82(x68991),f337(f337(f81(x68991),x68992),x68994)),x68993))
% 198.12/198.41 [6900]~P98(x69001)+E(f337(f337(f113(x69001),f337(f337(f104(x69001),x69002),x69003)),f337(f337(f104(x69001),x69004),x69003)),f337(f337(f104(x69001),f337(f337(f113(x69001),x69002),x69004)),x69003))
% 198.12/198.41 [6901]~P83(x69011)+E(f337(f337(f249(x69011),f337(f337(f81(x69011),x69012),x69013)),f337(f337(f81(x69011),x69014),x69013)),f337(f337(f81(x69011),f337(f337(f249(x69011),x69012),x69014)),x69013))
% 198.12/198.41 [6902]~P83(x69021)+E(f337(f337(f250(x69021),f337(f337(f81(x69021),x69022),x69023)),f337(f337(f81(x69021),x69024),x69023)),f337(f337(f81(x69021),f337(f337(f250(x69021),x69022),x69024)),x69023))
% 198.12/198.41 [6903]~P74(x69031)+E(f337(f337(f82(x69031),f337(f337(f262(x69031),x69032),x69033)),f337(f337(f262(x69031),x69034),x69033)),f337(f337(f262(x69031),f337(f337(f82(x69031),x69032),x69034)),x69033))
% 198.12/198.41 [6904]~P110(x69041)+E(f337(f337(f82(x69041),f337(f337(f262(x69041),x69042),x69043)),f337(f337(f262(x69041),x69044),x69043)),f337(f337(f262(x69041),f337(f337(f82(x69041),x69042),x69044)),x69043))
% 198.12/198.41 [6905]~P58(x69051)+E(f337(f337(f295(x69051),f337(f337(f262(x69051),x69052),x69053)),f337(f337(f262(x69051),x69054),x69053)),f337(f337(f262(x69051),f337(f337(f295(x69051),x69052),x69054)),x69053))
% 198.12/198.41 [6906]~P118(x69061)+E(f337(f337(f22(x69061),f337(f337(f295(x69061),x69062),x69063)),f337(f337(f295(x69061),x69064),x69063)),f337(f337(f295(x69061),f337(f337(f22(x69061),x69062),x69064)),x69063))
% 198.12/198.41 [6907]~P118(x69071)+E(f337(f337(f81(x69071),f337(f337(f295(x69071),x69072),x69073)),f337(f337(f295(x69071),x69074),x69073)),f337(f337(f295(x69071),f337(f337(f81(x69071),x69072),x69074)),x69073))
% 198.12/198.41 [6908]~P105(x69081)+E(f337(f337(f250(x69081),f337(f337(f249(x69081),x69082),x69083)),f337(f337(f249(x69081),x69084),x69083)),f337(f337(f249(x69081),f337(f337(f250(x69081),x69082),x69084)),x69083))
% 198.12/198.41 [6909]~P105(x69091)+E(f337(f337(f249(x69091),f337(f337(f250(x69091),x69092),x69093)),f337(f337(f250(x69091),x69094),x69093)),f337(f337(f250(x69091),f337(f337(f249(x69091),x69092),x69094)),x69093))
% 198.12/198.41 [6910]~P110(x69101)+E(f337(f337(f81(x69101),f337(f337(f82(x69101),x69102),x69103)),f337(f337(f82(x69101),x69104),x69103)),f337(f337(f82(x69101),f337(f337(f81(x69101),x69102),x69104)),x69103))
% 198.12/198.41 [6942]E(f337(f337(f161(x69421,x69422),x69423),x69424),x69422)+~P24(f337(f337(f251(a884),f337(f198(f885(x69421)),x69422)),x69423))
% 198.12/198.41 [6967]~P24(f337(x69673,x69674))+P24(f337(f337(f337(f113(f893(x69671,a878)),x69672),x69673),x69674))
% 198.12/198.41 [6969]~P24(f337(x69692,x69694))+P24(f337(f337(f337(f113(f893(x69691,a878)),x69692),x69693),x69694))
% 198.12/198.41 [6988]E(f337(f337(f167(x69881),f337(f337(f136(x69881),x69882),x69883)),x69884),f337(f337(f167(x69881),x69882),x69884))+~P24(f337(f337(f252(a884),x69884),f337(f198(f885(x69881)),x69882)))
% 198.12/198.41 [6998]E(f337(f337(f22(f893(x69981,a878)),f337(f337(f315(x69981),x69982),x69983)),x69984),f337(f337(f22(f893(x69981,a878)),x69983),x69984))+~P24(f337(f337(f339(x69981),x69982),x69984))
% 198.12/198.41 [7039]~E(f141(a884,f337(f307(a884,x70391),x70392)),f337(f337(f153(a884),x70394),x70393))+E(f141(a884,f337(f307(a884,f337(f337(f81(a884),x70391),f79(a884))),x70392)),x70393)
% 198.12/198.41 [7061]~P24(f337(f337(f175(x70611),x70613),x70614))+P24(f337(f337(f175(x70611),f337(f337(f153(x70611),x70612),x70613)),x70614))
% 198.12/198.41 [7112]E(x71121,f2(a884))+E(f337(f337(f153(x71122),x71123),f337(f337(f178(x71122),f337(f337(f22(a884),x71121),f79(a884))),x71124)),f337(f337(f178(x71122),x71121),f337(f337(f153(x71122),x71123),x71124)))
% 198.12/198.41 [7212]E(f337(f337(f167(x72121),x72122),f337(f337(f22(a884),x72123),f337(f198(f885(x72121)),x72124))),f337(f337(f167(x72121),f337(f337(f136(x72121),x72124),x72122)),x72123))+P24(f337(f337(f252(a884),x72123),f337(f198(f885(x72121)),x72124)))
% 198.12/198.41 [7243]E(f337(f337(f104(f893(x72431,a878)),x72432),f337(f337(f315(x72431),x72433),x72434)),f337(f337(f315(x72431),x72433),f337(f337(f104(f893(x72431,a878)),x72432),x72434)))+~P24(f337(f337(f339(x72431),x72433),x72432))
% 198.12/198.41 [7278]E(f337(f337(f167(x72781),f337(f337(f161(x72781,x72782),x72783),x72784)),x72783),x72784)+~P24(f337(f337(f252(a884),x72783),f337(f198(f885(x72781)),x72782)))
% 198.12/198.41 [7299]E(x72991,f197(f893(x72992,a878)))+E(f337(f316(f892(x72993,x72992),x72993,f271(x72993,x72992)),f337(f337(f274(x72993,x72992),x72994),f337(f16(f893(x72992,a878),x72993),x72991))),x72994)
% 198.12/198.41 [7300]E(x73001,f197(f893(x73002,a878)))+E(f337(f316(f892(x73002,x73003),x73003,f275(x73002,x73003)),f337(f337(f274(x73002,x73003),x73001),f337(f16(f893(x73003,a878),x73002),x73004))),x73004)
% 198.12/198.41 [7370]E(f337(f337(f22(f893(x73701,a878)),f337(f337(f315(x73701),x73702),x73703)),x73704),f337(f337(f315(x73701),x73702),f337(f337(f22(f893(x73701,a878)),x73703),x73704)))+P24(f337(f337(f339(x73701),x73702),x73704))
% 198.12/198.41 [7407]~E(x74074,f197(f893(x74072,a878)))+E(f337(f316(f892(x74071,x74072),x74071,f271(x74071,x74072)),f337(f337(f274(x74071,x74072),x74073),f337(f16(f893(x74072,a878),x74071),x74074))),f197(f893(x74071,a878)))
% 198.12/198.41 [7408]~E(x74083,f197(f893(x74081,a878)))+E(f337(f316(f892(x74081,x74082),x74082,f275(x74081,x74082)),f337(f337(f274(x74081,x74082),x74083),f337(f16(f893(x74082,a878),x74081),x74084))),f197(f893(x74082,a878)))
% 198.12/198.41 [7464]~P24(f337(f337(f339(x74641),x74642),x74644))+P24(f337(f337(f339(x74641),x74642),f337(f337(f113(f893(x74641,a878)),x74643),x74644)))
% 198.12/198.41 [7467]~P24(f337(f337(f339(x74671),x74672),x74673))+P24(f337(f337(f339(x74671),x74672),f337(f337(f113(f893(x74671,a878)),x74673),x74674)))
% 198.12/198.41 [7486]E(f337(f337(f104(f893(x74861,a878)),f337(f337(f315(x74861),x74862),x74863)),x74864),f337(f337(f315(x74861),x74862),f337(f337(f104(f893(x74861,a878)),x74863),x74864)))+~P24(f337(f337(f339(x74861),x74862),x74864))
% 198.12/198.41 [7765]P24(f337(x77651,x77652))+~P24(f337(f337(f337(f104(f893(x77653,a878)),x77654),x77651),x77652))
% 198.12/198.41 [7766]P24(f337(x77661,x77662))+~P24(f337(f337(f337(f104(f893(x77663,a878)),x77661),x77664),x77662))
% 198.12/198.41 [7769]E(f337(f337(f6(x77691,a884),x77692),f337(f337(f22(f893(x77691,a878)),x77693),f337(f337(f315(x77691),x77694),f197(f893(x77691,a878))))),f337(f337(f6(x77691,a884),x77692),x77693))+P24(f337(f337(f339(x77691),x77694),x77693))
% 198.12/198.41 [7774]~P70(x77741)+E(f337(f168(x77741),f337(f337(f156(a884,x77741),x77742),f141(a884,f337(f307(a884,x77743),x77744)))),f337(f337(f6(a884,x77741),x77742),f337(f175(a884),f141(a884,f337(f307(a884,x77743),x77744)))))
% 198.12/198.41 [7775]~P70(x77751)+E(f337(f337(f6(a884,x77751),x77752),f337(f175(a884),f141(a884,f337(f307(a884,x77753),x77754)))),f337(f168(x77751),f337(f337(f156(a884,x77751),x77752),f141(a884,f337(f307(a884,x77753),x77754)))))
% 198.12/198.41 [7885]~E(x78853,x78854)+P24(f337(f63(x78851,x78852,f337(f337(f315(x78851),x78853),f197(f893(x78851,a878)))),x78854))
% 198.12/198.41 [7981]P24(f337(f337(f339(x79811),x79812),f337(f175(x79811),x79813)))+~P24(f337(f337(f339(x79811),x79812),f337(f175(x79811),f337(f337(f178(x79811),x79814),x79813))))
% 198.12/198.41 [7982]P24(f337(f337(f339(x79821),x79822),f337(f175(x79821),x79823)))+~P24(f337(f337(f339(x79821),x79822),f337(f175(x79821),f337(f337(f140(x79821),x79824),x79823))))
% 198.12/198.41 [8054]P24(f337(f337(f339(x80541),x80542),x80543))+~P24(f337(f337(f339(x80541),x80542),f337(f337(f22(f893(x80541,a878)),x80543),x80544)))
% 198.12/198.41 [8056]P24(f337(f337(f339(x80561),x80562),x80563))+~P24(f337(f337(f339(x80561),x80562),f337(f337(f104(f893(x80561,a878)),x80564),x80563)))
% 198.12/198.41 [8059]P24(f337(f337(f339(x80591),x80592),x80593))+~P24(f337(f337(f339(x80591),x80592),f337(f337(f104(f893(x80591,a878)),x80593),x80594)))
% 198.12/198.41 [8074]E(f337(f337(f136(x80741),f337(f337(f178(x80741),x80742),x80743)),f337(f337(f153(x80741),x80744),f337(f337(f140(x80741),f337(a115,x80742)),x80743))),f337(f337(f161(x80741,x80743),x80742),x80744))+~P24(f337(f337(f252(a884),x80742),f337(f198(f885(x80741)),x80743)))
% 198.12/198.41 [8097]P24(f337(f337(f339(x80971),x80972),x80973))+~P24(f337(f337(f251(f893(x80971,a878)),f337(f337(f315(x80971),x80972),x80974)),x80973))
% 198.12/198.41 [8130]~P24(f337(f337(f339(x81301),x81302),x81303))+~P24(f337(f337(f339(x81301),x81302),f337(f337(f22(f893(x81301,a878)),x81304),x81303)))
% 198.12/198.41 [8162]~P24(f337(f337(f252(a884),x81624),f337(f198(f885(x81621)),x81623)))+P24(f337(f337(f339(x81621),x81622),f337(f175(x81621),f337(f337(f161(x81621,x81623),x81624),x81622))))
% 198.12/198.41 [8216]E(f337(f337(f167(x82161),f337(f337(f140(x82161),x82162),x82163)),x82164),f337(f337(f167(x82161),x82163),f337(f337(f81(a884),x82162),x82164)))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),x82162),x82164)),f337(f198(f885(x82161)),x82163)))
% 198.12/198.41 [8226]~P142(x82262)+E(f337(f337(f6(x82261,x82262),f337(f337(f8(a884,x82262,x82261),f103(x82262)),x82263)),x82264),f337(f103(x82262),f337(f337(f6(x82261,a884),x82263),x82264)))
% 198.12/198.41 [8227]~P138(x82272)+E(f337(f337(f6(x82271,x82272),f337(f337(f8(a1,x82272,x82271),f105(x82272)),x82273)),x82274),f337(f105(x82272),f337(f337(f6(x82271,a1),x82273),x82274)))
% 198.12/198.41 [8280]~P61(x82802)+E(f337(f337(f9(x82801,x82802),f337(f337(f8(x82802,x82802,x82801),f76(x82802)),x82803)),x82804),f337(f76(x82802),f337(f337(f9(x82801,x82802),x82803),x82804)))
% 198.12/198.41 [8281]~P67(x82812)+E(f337(f337(f6(x82811,x82812),f337(f337(f8(x82812,x82812,x82811),f80(x82812)),x82813)),x82814),f337(f80(x82812),f337(f337(f6(x82811,x82812),x82813),x82814)))
% 198.12/198.41 [8283]E(f337(f337(f6(x82831,a884),x82832),f337(f337(f22(f893(x82831,a878)),x82833),f337(f337(f315(x82831),x82834),f197(f893(x82831,a878))))),f337(f337(f22(a884),f337(f337(f6(x82831,a884),x82832),x82833)),f337(x82832,x82834)))+~P24(f337(f337(f339(x82831),x82834),x82833))
% 198.12/198.41 [8303]P24(f337(f337(f251(f893(x83031,a878)),x83032),x83033))+~P24(f337(f337(f251(f893(x83031,a878)),f337(f337(f315(x83031),x83034),x83032)),x83033))
% 198.12/198.41 [8504]E(f337(f337(f181(x85041,x85042),x85043),x85044),f210(x85042))+P24(f337(f337(f339(x85041),x85044),f337(f316(f892(x85041,x85042),x85041,f271(x85041,x85042)),f337(f175(f892(x85041,x85042)),x85043))))
% 198.12/198.41 [8505]P39(x85051,x85052)+~P39(x85051,f337(f337(f315(f892(x85051,x85051)),f337(f337(f272(x85051,x85051),x85053),x85054)),x85052))
% 198.12/198.41 [8506]P54(x85061,x85062)+~P54(x85061,f337(f337(f315(f892(x85061,x85061)),f337(f337(f272(x85061,x85061),x85063),x85064)),x85062))
% 198.12/198.41 [8512]~P105(x85121)+E(f337(f337(f150(x85121,x85121,f5(x85121)),x85122),f337(f337(f150(x85121,x85121,f5(x85121)),x85123),x85124)),f337(f337(f150(x85121,x85121,f5(x85121)),x85123),f337(f337(f150(x85121,x85121,f5(x85121)),x85122),x85124)))
% 198.12/198.41 [8522]E(x85221,x85222)+~P24(f337(f63(x85223,x85224,f337(f337(f315(x85223),x85221),f197(f893(x85223,a878)))),x85222))
% 198.12/198.41 [8532]E(f337(f337(f136(x85321),f337(f337(f178(x85321),x85322),x85323)),f337(f337(f178(x85321),x85324),f337(f337(f140(x85321),x85322),x85323))),f337(f337(f178(x85321),f337(f337(f81(a884),x85322),x85324)),x85323))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),x85322),x85324)),f337(f198(f885(x85321)),x85323)))
% 198.12/198.41 [8569]P24(f337(f62(x85691),x85692))+~E(x85692,f337(f316(a884,x85691,x85693),f337(f257(a884),f337(f337(f7(a884,a884,a878),f252(a884)),x85694))))
% 198.12/198.41 [8589]~P90(x85891)+E(f337(f144(x85891,x85891,f81(x85891),f337(f337(f81(x85891),x85892),x85893)),x85894),f337(f337(f81(x85891),x85892),f337(f144(x85891,x85891,f81(x85891),x85893),x85894)))
% 198.12/198.41 [8623]P24(f337(f337(f251(f893(x86231,a878)),f337(f270(x86231,x86232),x86233)),f337(f270(x86231,x86232),x86234)))+~P24(f337(f337(f251(f893(f892(x86231,x86232),a878)),x86233),x86234))
% 198.12/198.41 [8636]~P24(f337(f337(f251(a884),x86362),x86364))+P24(f337(f337(f251(f893(x86361,a878)),f337(f175(x86361),f337(f337(f178(x86361),x86362),x86363))),f337(f175(x86361),f337(f337(f178(x86361),x86364),x86363))))
% 198.12/198.41 [8637]~P24(f337(f337(f251(a884),x86374),x86372))+P24(f337(f337(f251(f893(x86371,a878)),f337(f175(x86371),f337(f337(f140(x86371),x86372),x86373))),f337(f175(x86371),f337(f337(f140(x86371),x86374),x86373))))
% 198.12/198.41 [8689]~P24(f337(f62(x86891),f337(f337(f22(f893(x86891,a878)),x86892),x86894)))+P24(f337(f62(x86891),f337(f337(f22(f893(x86891,a878)),x86892),f337(f337(f315(x86891),x86893),x86894))))
% 198.12/198.41 [8726]P24(f337(f337(f339(f892(x87261,x87261)),x87262),f313(x87261,x87263)))+~P24(f337(f337(f339(f892(x87261,x87261)),x87262),f337(f337(f192(f892(x87261,x87261),a878),x87264),x87263)))
% 198.12/198.41 [8803]~P24(f337(f62(x88031),f337(f337(f22(f893(x88031,a878)),x88032),f337(f337(f315(x88031),x88034),x88033))))+P24(f337(f62(x88031),f337(f337(f22(f893(x88031,a878)),x88032),x88033)))
% 198.12/198.41 [8950]~E(f337(f337(f181(x89501,x89502),x89503),x89504),f210(x89502))+~P24(f337(f337(f339(x89501),x89504),f337(f316(f892(x89501,x89502),x89501,f271(x89501,x89502)),f337(f175(f892(x89501,x89502)),x89503))))
% 198.12/198.41 [9010]~P64(x90101)+P24(f337(f337(f251(x90101),f337(f337(f113(x90101),x90102),f337(f337(f104(x90101),x90103),x90104))),f337(f337(f104(x90101),f337(f337(f113(x90101),x90102),x90103)),f337(f337(f113(x90101),x90102),x90104))))
% 198.12/198.41 [9011]~P105(x90111)+P24(f337(f337(f251(x90111),f337(f337(f250(x90111),x90112),f337(f337(f249(x90111),x90113),x90114))),f337(f337(f249(x90111),f337(f337(f250(x90111),x90112),x90113)),f337(f337(f250(x90111),x90112),x90114))))
% 198.12/198.41 [9157]E(x91571,x91572)+~P24(f337(f337(f339(f892(x91573,x91573)),f337(f337(f272(x91573,x91573),x91571),x91572)),f337(f175(f892(x91573,x91573)),f337(f337(f185(x91573,x91573),x91574),x91574))))
% 198.12/198.41 [9187]~P24(f337(f337(f339(f892(x91871,x91871)),f337(f337(f272(x91871,x91871),x91873),x91872)),f313(x91871,x91874)))+~P39(x91871,f337(f337(f315(f892(x91871,x91871)),f337(f337(f272(x91871,x91871),x91872),x91873)),x91874))
% 198.12/198.41 [9188]~P24(f337(f337(f339(f892(x91881,x91881)),f337(f337(f272(x91881,x91881),x91883),x91882)),f313(x91881,x91884)))+~P54(x91881,f337(f337(f315(f892(x91881,x91881)),f337(f337(f272(x91881,x91881),x91882),x91883)),x91884))
% 198.12/198.41 [9193]E(x91931,x91932)+E(f337(f138(x91933,f337(f337(f8(a878,a878,x91933),a332),f337(a334,x91931))),f337(f337(f153(x91933),x91932),x91934)),f337(f337(f153(x91933),x91932),f337(f138(x91933,f337(f337(f8(a878,a878,x91933),a332),f337(a334,x91931))),x91934)))
% 198.12/198.41 [9237]~P64(x92371)+P24(f337(f337(f251(x92371),f337(f337(f113(x92371),f337(f337(f104(x92371),x92372),x92373)),f337(f337(f104(x92371),x92372),x92374))),f337(f337(f104(x92371),x92372),f337(f337(f113(x92371),x92373),x92374))))
% 198.12/198.41 [9238]~P105(x92381)+P24(f337(f337(f251(x92381),f337(f337(f250(x92381),f337(f337(f249(x92381),x92382),x92383)),f337(f337(f249(x92381),x92382),x92384))),f337(f337(f249(x92381),x92382),f337(f337(f250(x92381),x92383),x92384))))
% 198.12/198.41 [9306]~E(f337(f316(x93062,x93061,x93063),f260(f893(x93062,a878))),f260(f893(x93061,a878)))+P24(f337(f337(f251(f893(x93061,a878)),f337(f80(f893(x93061,a878)),f337(f316(x93062,x93061,x93063),x93064))),f337(f316(x93062,x93061,x93063),f337(f80(f893(x93062,a878)),x93064))))
% 198.12/198.41 [9624]P24(f337(f337(f339(f892(x96241,x96241)),f337(f337(f272(x96241,x96241),x96242),x96243)),f337(f292(x96241,x96241),f337(f337(f294(x96241,x96241,x96241),x96244),f313(x96241,x96244)))))+~P24(f337(f337(f339(f892(x96241,x96241)),f337(f337(f272(x96241,x96241),x96242),x96243)),f337(f337(f294(x96241,x96241,x96241),f337(f292(x96241,x96241),x96244)),f313(x96241,f337(f292(x96241,x96241),x96244)))))
% 198.12/198.41 [9625]~P24(f337(f337(f339(f892(x96251,x96251)),f337(f337(f272(x96251,x96251),x96252),x96253)),f337(f292(x96251,x96251),f337(f337(f294(x96251,x96251,x96251),x96254),f313(x96251,x96254)))))+P24(f337(f337(f339(f892(x96251,x96251)),f337(f337(f272(x96251,x96251),x96252),x96253)),f337(f337(f294(x96251,x96251,x96251),f337(f292(x96251,x96251),x96254)),f313(x96251,f337(f292(x96251,x96251),x96254)))))
% 198.12/198.41 [9646]~P24(f337(f337(f339(x96462),x96464),f337(f268(x96461,x96462),x96463)))+P24(f337(f337(f339(f892(x96461,x96462)),f337(f337(f272(x96461,x96462),f530(x96463,x96461,x96464,x96462)),x96464)),x96463))
% 198.12/198.41 [9647]~P24(f337(f337(f339(x96472),x96474),f337(f268(x96471,x96472),x96473)))+P24(f337(f337(f339(f892(x96471,x96472)),f337(f337(f272(x96471,x96472),f533(x96473,x96471,x96474,x96472)),x96474)),x96473))
% 198.12/198.41 [9672]~P24(f337(f337(f339(x96721),x96724),f337(f337(f113(f893(x96721,a878)),x96722),x96723)))+P24(f337(f337(f337(f113(f893(x96721,a878)),f337(f337(f7(x96721,f893(x96721,a878),a878),f339(x96721)),x96722)),f337(f337(f7(x96721,f893(x96721,a878),a878),f339(x96721)),x96723)),x96724))
% 198.12/198.41 [9673]~P24(f337(f337(f339(x96731),x96734),f337(f337(f104(f893(x96731,a878)),x96732),x96733)))+P24(f337(f337(f337(f104(f893(x96731,a878)),f337(f337(f7(x96731,f893(x96731,a878),a878),f339(x96731)),x96732)),f337(f337(f7(x96731,f893(x96731,a878),a878),f339(x96731)),x96733)),x96734))
% 198.12/198.41 [9750]~P24(f337(f337(f339(f892(x97501,x97501)),f337(f337(f272(x97501,x97501),x97504),x97503)),f337(f337(f294(x97501,x97501,x97501),x97502),f313(x97501,x97502))))+P24(f337(f337(f339(f892(x97501,x97501)),f337(f337(f272(x97501,x97501),f617(x97502,x97503,x97504,x97501)),x97503)),x97502))
% 198.12/198.41 [9795]P24(f337(f337(f339(x97951),x97952),f337(f337(f113(f893(x97951,a878)),x97953),x97954)))+~P24(f337(f337(f337(f113(f893(x97951,a878)),f337(f337(f7(x97951,f893(x97951,a878),a878),f339(x97951)),x97953)),f337(f337(f7(x97951,f893(x97951,a878),a878),f339(x97951)),x97954)),x97952))
% 198.12/198.41 [9796]P24(f337(f337(f339(x97961),x97962),f337(f337(f104(f893(x97961,a878)),x97963),x97964)))+~P24(f337(f337(f337(f104(f893(x97961,a878)),f337(f337(f7(x97961,f893(x97961,a878),a878),f339(x97961)),x97963)),f337(f337(f7(x97961,f893(x97961,a878),a878),f339(x97961)),x97964)),x97962))
% 198.12/198.41 [10073]P34(x100731,f337(f337(f7(x100731,f893(f892(x100731,x100731),a878),f893(x100731,a878)),f337(f337(f8(f893(x100731,f893(f893(f892(x100731,x100731),a878),a878)),f893(f893(f892(x100731,x100731),a878),f893(x100731,a878)),x100731),f7(x100731,f893(f892(x100731,x100731),a878),a878)),f337(f337(f8(f893(x100731,f892(x100731,x100731)),f893(x100731,f893(f893(f892(x100731,x100731),a878),a878)),x100731),f337(f8(f892(x100731,x100731),f893(f893(f892(x100731,x100731),a878),a878),x100731),f339(f892(x100731,x100731)))),f272(x100731,x100731)))),x100732),x100733,x100734)+~P24(f337(f337(f339(f892(f885(x100731),f885(x100731))),f337(f337(f272(f885(x100731),f885(x100731)),x100733),x100734)),f160(x100731,x100732)))
% 198.12/198.41 [10077]P55(x100771,f337(f337(f7(x100771,f893(f892(x100771,x100771),a878),f893(x100771,a878)),f337(f337(f8(f893(x100771,f893(f893(f892(x100771,x100771),a878),a878)),f893(f893(f892(x100771,x100771),a878),f893(x100771,a878)),x100771),f7(x100771,f893(f892(x100771,x100771),a878),a878)),f337(f337(f8(f893(x100771,f892(x100771,x100771)),f893(x100771,f893(f893(f892(x100771,x100771),a878),a878)),x100771),f337(f8(f892(x100771,x100771),f893(f893(f892(x100771,x100771),a878),a878),x100771),f339(f892(x100771,x100771)))),f272(x100771,x100771)))),x100772),x100773,x100774)+~P24(f337(f337(f339(f892(f893(x100771,a878),f893(x100771,a878))),f337(f337(f272(f893(x100771,a878),f893(x100771,a878)),x100773),x100774)),f329(x100771,x100772)))
% 198.12/198.41 [10106]E(x101061,x101062)+~E(f337(f337(f7(x101063,f893(f892(x101063,x101064),a878),f893(x101064,a878)),f337(f337(f8(f893(x101064,f893(f893(f892(x101063,x101064),a878),a878)),f893(f893(f892(x101063,x101064),a878),f893(x101064,a878)),x101063),f7(x101064,f893(f892(x101063,x101064),a878),a878)),f337(f337(f8(f893(x101064,f892(x101063,x101064)),f893(x101064,f893(f893(f892(x101063,x101064),a878),a878)),x101063),f337(f8(f892(x101063,x101064),f893(f893(f892(x101063,x101064),a878),a878),x101064),f339(f892(x101063,x101064)))),f272(x101063,x101064)))),x101061),f337(f337(f7(x101063,f893(f892(x101063,x101064),a878),f893(x101064,a878)),f337(f337(f8(f893(x101064,f893(f893(f892(x101063,x101064),a878),a878)),f893(f893(f892(x101063,x101064),a878),f893(x101064,a878)),x101063),f7(x101064,f893(f892(x101063,x101064),a878),a878)),f337(f337(f8(f893(x101064,f892(x101063,x101064)),f893(x101064,f893(f893(f892(x101063,x101064),a878),a878)),x101063),f337(f8(f892(x101063,x101064),f893(f893(f892(x101063,x101064),a878),a878),x101064),f339(f892(x101063,x101064)))),f272(x101063,x101064)))),x101062))
% 198.12/198.41 [10109]~P34(x101091,f337(f337(f7(x101091,f893(f892(x101091,x101091),a878),f893(x101091,a878)),f337(f337(f8(f893(x101091,f893(f893(f892(x101091,x101091),a878),a878)),f893(f893(f892(x101091,x101091),a878),f893(x101091,a878)),x101091),f7(x101091,f893(f892(x101091,x101091),a878),a878)),f337(f337(f8(f893(x101091,f892(x101091,x101091)),f893(x101091,f893(f893(f892(x101091,x101091),a878),a878)),x101091),f337(f8(f892(x101091,x101091),f893(f893(f892(x101091,x101091),a878),a878),x101091),f339(f892(x101091,x101091)))),f272(x101091,x101091)))),x101094),x101092,x101093)+P24(f337(f337(f339(f892(f885(x101091),f885(x101091))),f337(f337(f272(f885(x101091),f885(x101091)),x101092),x101093)),f160(x101091,x101094)))
% 198.12/198.41 [10110]~P55(x101101,f337(f337(f7(x101101,f893(f892(x101101,x101101),a878),f893(x101101,a878)),f337(f337(f8(f893(x101101,f893(f893(f892(x101101,x101101),a878),a878)),f893(f893(f892(x101101,x101101),a878),f893(x101101,a878)),x101101),f7(x101101,f893(f892(x101101,x101101),a878),a878)),f337(f337(f8(f893(x101101,f892(x101101,x101101)),f893(x101101,f893(f893(f892(x101101,x101101),a878),a878)),x101101),f337(f8(f892(x101101,x101101),f893(f893(f892(x101101,x101101),a878),a878),x101101),f339(f892(x101101,x101101)))),f272(x101101,x101101)))),x101104),x101102,x101103)+P24(f337(f337(f339(f892(f893(x101101,a878),f893(x101101,a878))),f337(f337(f272(f893(x101101,a878),f893(x101101,a878)),x101102),x101103)),f329(x101101,x101104)))
% 198.12/198.41 [7537]~P93(x75371)+E(f337(f337(f82(x75371),f337(f106(x75371),x75372)),f337(f337(f82(x75371),f337(f106(x75371),x75373)),x75374)),f337(f337(f82(x75371),f337(f106(x75371),f337(f337(f82(a1),x75372),x75373))),x75374))
% 198.12/198.41 [7538]~P93(x75381)+E(f337(f337(f81(x75381),f337(f106(x75381),x75382)),f337(f337(f22(x75381),f337(f106(x75381),x75383)),x75384)),f337(f337(f22(x75381),f337(f106(x75381),f337(f337(f81(a1),x75382),x75383))),x75384))
% 198.12/198.41 [7539]~P93(x75391)+E(f337(f337(f81(x75391),f337(f106(x75391),x75392)),f337(f337(f81(x75391),f337(f106(x75391),x75393)),x75394)),f337(f337(f81(x75391),f337(f106(x75391),f337(f337(f81(a1),x75392),x75393))),x75394))
% 198.12/198.41 [7584]~P142(x75841)+E(f337(f168(x75841),f337(f337(f156(x75842,x75841),f337(f16(x75841,x75842),x75843)),x75844)),f337(f337(f82(x75841),f337(f103(x75841),f337(f198(f885(x75842)),x75844))),x75843))
% 198.12/198.41 [7821]E(f337(f283(x78211,f337(f337(f153(f892(a102,x78211)),x78212),x78213)),x78214),f337(f275(a102,x78211),x78212))+~P24(f337(f337(f252(a102),x78214),f337(f271(a102,x78211),x78212)))
% 198.12/198.41 [7863]~P93(x78631)+E(f337(f337(f81(x78631),f337(f106(x78631),x78632)),f337(f337(f22(x78631),x78633),f337(f106(x78631),x78634))),f337(f337(f81(x78631),f337(f106(x78631),f337(f337(f81(a1),x78632),f337(f80(a1),x78634)))),x78633))
% 198.12/198.41 [7994]E(f337(f283(x79941,x79942),f337(f337(f22(a102),x79943),f337(f271(a102,x79941),x79944))),f337(f283(x79941,f337(f337(f153(f892(a102,x79941)),x79944),x79942)),x79943))+P24(f337(f337(f252(a102),x79943),f337(f271(a102,x79941),x79944)))
% 198.12/198.41 [8428]~P24(f337(f337(f339(x84281),x84282),f337(f175(x84281),f117(x84281,x84284))))+P24(f337(f337(f339(x84281),x84282),f337(f175(x84281),f117(x84281,f337(f337(f136(x84281),x84283),x84284)))))
% 198.12/198.41 [8429]~P24(f337(f337(f339(x84291),x84292),f337(f175(x84291),f117(x84291,x84293))))+P24(f337(f337(f339(x84291),x84292),f337(f175(x84291),f117(x84291,f337(f337(f136(x84291),x84293),x84294)))))
% 198.12/198.41 [8446]E(f337(f337(f113(f893(x84461,a878)),f337(f337(f104(f893(x84461,a878)),x84462),x84463)),x84464),f337(f337(f104(f893(x84461,a878)),x84462),f337(f337(f113(f893(x84461,a878)),x84463),x84464)))+~P24(f337(f337(f251(f893(x84461,a878)),x84464),x84462))
% 198.12/198.41 [8739]~E(f337(f337(f113(f893(x87391,a878)),f337(f337(f104(f893(x87391,a878)),x87393),x87394)),x87392),f337(f337(f104(f893(x87391,a878)),x87393),f337(f337(f113(f893(x87391,a878)),x87394),x87392)))+P24(f337(f337(f251(f893(x87391,a878)),x87392),x87393))
% 198.12/198.41 [9015]~P24(f337(f337(f251(f893(x90151,a878)),x90152),f337(f337(f113(f893(x90151,a878)),x90153),x90154)))+P24(f337(f337(f251(f893(x90151,a878)),f337(f337(f22(f893(x90151,a878)),x90152),x90153)),x90154))
% 198.12/198.41 [9133]P24(f337(f337(f251(f893(x91331,a878)),x91332),f337(f337(f113(f893(x91331,a878)),x91333),x91334)))+~P24(f337(f337(f251(f893(x91331,a878)),f337(f337(f22(f893(x91331,a878)),x91332),x91333)),x91334))
% 198.12/198.41 [9218]~P85(x92181)+E(f337(f76(x92181),f337(f337(f6(x92182,x92181),f337(f337(f8(x92181,x92181,x92182),f76(x92181)),x92183)),x92184)),f337(f337(f6(x92182,x92181),f337(f337(f8(x92181,x92181,x92182),f76(x92181)),x92183)),x92184))
% 198.12/198.41 [9382]~P85(x93821)+P24(f337(f337(f251(x93821),f2(x93821)),f337(f337(f6(x93822,x93821),f337(f337(f8(x93821,x93821,x93822),f76(x93821)),x93823)),x93824)))
% 198.12/198.41 [9386]~P67(x93861)+E(f337(f168(x93861),f337(f337(f156(x93862,x93861),f337(f74(x93861,x93861,x93862,f80(x93861)),x93863)),x93864)),f337(f80(x93861),f337(f168(x93861),f337(f337(f156(x93862,x93861),x93863),x93864))))
% 198.12/198.41 [9522]~P85(x95221)+P24(f337(f337(f251(x95221),f337(f76(x95221),f337(f337(f6(x95222,x95221),x95223),x95224))),f337(f337(f6(x95222,x95221),f337(f337(f8(x95221,x95221,x95222),f76(x95221)),x95223)),x95224)))
% 198.12/198.41 [9549]~E(f337(f337(f81(a884),x95491),x95494),f337(f337(f81(a884),x95493),x95492))+P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),f337(f337(f272(a884,a884),x95491),x95492)),f337(f337(f272(a884,a884),x95493),x95494))),a111))
% 198.12/198.41 [9550]~P24(f337(f337(f252(a884),x95501),x95503))+P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),f337(f337(f272(a884,a884),x95501),x95502)),f337(f337(f272(a884,a884),x95503),x95504))),a35))
% 198.12/198.41 [9551]~P24(f337(f337(f252(a884),x95511),x95513))+P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),f337(f337(f272(a884,a884),x95511),x95512)),f337(f337(f272(a884,a884),x95513),x95514))),a71))
% 198.12/198.41 [9697]E(f337(f337(f81(a884),x96971),x96972),f337(f337(f81(a884),x96973),x96974))+~P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),f337(f337(f272(a884,a884),x96971),x96974)),f337(f337(f272(a884,a884),x96973),x96972))),a111))
% 198.12/198.41 [9724]E(f337(f337(f167(x97241),f337(f337(f140(x97241),f337(f198(f885(x97241)),f180(x97241,x97242,x97243))),x97243)),x97244),f337(f337(f167(x97241),x97243),f337(f337(f81(a884),x97244),f337(f198(f885(x97241)),f180(x97241,x97242,x97243)))))+~P24(f337(f337(f252(a884),x97244),f337(f198(f885(x97241)),f337(f337(f140(x97241),f337(f198(f885(x97241)),f180(x97241,x97242,x97243))),x97243))))
% 198.12/198.41 [9741]~P24(f337(f337(f339(x97412),x97414),f337(f337(f42(x97411,f893(x97412,a878)),f260(f893(x97411,a878))),x97413)))+P24(f337(f337(f337(f42(x97411,f893(x97412,a878)),f260(f893(x97411,a878))),f337(f337(f8(f893(x97412,a878),f893(x97412,a878),x97411),f337(f7(x97412,f893(x97412,a878),a878),f339(x97412))),x97413)),x97414))
% 198.12/198.41 [9742]~P24(f337(f337(f339(x97422),x97424),f337(f337(f43(x97421,f893(x97422,a878)),f260(f893(x97421,a878))),x97423)))+P24(f337(f337(f337(f43(x97421,f893(x97422,a878)),f260(f893(x97421,a878))),f337(f337(f8(f893(x97422,a878),f893(x97422,a878),x97421),f337(f7(x97422,f893(x97422,a878),a878),f339(x97422))),x97423)),x97424))
% 198.12/198.41 [9823]~P24(f337(f49(x98231,x98232),f337(f337(f272(a1,a1),x98234),x98233)))+P24(f337(f49(f337(f80(a1),x98231),x98232),f337(f337(f272(a1,a1),f337(f337(f337(f99(a1),f337(f337(a334,x98233),f2(a1))),f337(f80(a1),x98234)),f337(f337(f22(a1),f337(f80(a1),x98234)),f79(a1)))),f337(f337(f337(f99(a1),f337(f337(a334,x98233),f2(a1))),f2(a1)),f337(f337(f22(a1),x98232),x98233)))))
% 198.12/198.41 [9833]P24(f337(f337(f339(x98331),x98332),f337(f337(f42(x98333,f893(x98331,a878)),f260(f893(x98333,a878))),x98334)))+~P24(f337(f337(f337(f42(x98333,f893(x98331,a878)),f260(f893(x98333,a878))),f337(f337(f8(f893(x98331,a878),f893(x98331,a878),x98333),f337(f7(x98331,f893(x98331,a878),a878),f339(x98331))),x98334)),x98332))
% 198.12/198.41 [9834]P24(f337(f337(f339(x98341),x98342),f337(f337(f43(x98343,f893(x98341,a878)),f260(f893(x98343,a878))),x98344)))+~P24(f337(f337(f337(f43(x98343,f893(x98341,a878)),f260(f893(x98343,a878))),f337(f337(f8(f893(x98341,a878),f893(x98341,a878),x98343),f337(f7(x98341,f893(x98341,a878),a878),f339(x98341))),x98344)),x98342))
% 198.12/198.41 [9846]E(f337(f337(f42(a884,f893(x98461,a878)),f260(f893(a884,a878))),x98462),f337(f337(f42(a884,f893(x98461,a878)),f260(f893(a884,a878))),x98463))+~E(f337(f337(f42(a884,f893(x98461,a878)),f337(f307(a884,f2(a884)),f472(x98462,x98464,x98463,x98461))),x98463),f337(f337(f42(a884,f893(x98461,a878)),f337(f307(a884,f2(a884)),f337(f337(f81(a884),f472(x98462,x98464,x98463,x98461)),x98464))),x98462))
% 198.12/198.41 [10166]~P24(f337(f337(f251(f893(f892(x101661,x101662),a878)),x101663),x101664))+P24(f337(f337(f251(f893(x101661,f893(x101662,a878))),f337(f337(f7(x101661,f893(f892(x101661,x101662),a878),f893(x101662,a878)),f337(f337(f8(f893(x101662,f893(f893(f892(x101661,x101662),a878),a878)),f893(f893(f892(x101661,x101662),a878),f893(x101662,a878)),x101661),f7(x101662,f893(f892(x101661,x101662),a878),a878)),f337(f337(f8(f893(x101662,f892(x101661,x101662)),f893(x101662,f893(f893(f892(x101661,x101662),a878),a878)),x101661),f337(f8(f892(x101661,x101662),f893(f893(f892(x101661,x101662),a878),a878),x101662),f339(f892(x101661,x101662)))),f272(x101661,x101662)))),x101663)),f337(f337(f7(x101661,f893(f892(x101661,x101662),a878),f893(x101662,a878)),f337(f337(f8(f893(x101662,f893(f893(f892(x101661,x101662),a878),a878)),f893(f893(f892(x101661,x101662),a878),f893(x101662,a878)),x101661),f7(x101662,f893(f892(x101661,x101662),a878),a878)),f337(f337(f8(f893(x101662,f892(x101661,x101662)),f893(x101662,f893(f893(f892(x101661,x101662),a878),a878)),x101661),f337(f8(f892(x101661,x101662),f893(f893(f892(x101661,x101662),a878),a878),x101662),f339(f892(x101661,x101662)))),f272(x101661,x101662)))),x101664)))
% 198.12/198.41 [10184]P24(f337(f337(f251(f893(f892(x101841,x101842),a878)),x101843),x101844))+~P24(f337(f337(f251(f893(x101841,f893(x101842,a878))),f337(f337(f7(x101841,f893(f892(x101841,x101842),a878),f893(x101842,a878)),f337(f337(f8(f893(x101842,f893(f893(f892(x101841,x101842),a878),a878)),f893(f893(f892(x101841,x101842),a878),f893(x101842,a878)),x101841),f7(x101842,f893(f892(x101841,x101842),a878),a878)),f337(f337(f8(f893(x101842,f892(x101841,x101842)),f893(x101842,f893(f893(f892(x101841,x101842),a878),a878)),x101841),f337(f8(f892(x101841,x101842),f893(f893(f892(x101841,x101842),a878),a878),x101842),f339(f892(x101841,x101842)))),f272(x101841,x101842)))),x101843)),f337(f337(f7(x101841,f893(f892(x101841,x101842),a878),f893(x101842,a878)),f337(f337(f8(f893(x101842,f893(f893(f892(x101841,x101842),a878),a878)),f893(f893(f892(x101841,x101842),a878),f893(x101842,a878)),x101841),f7(x101842,f893(f892(x101841,x101842),a878),a878)),f337(f337(f8(f893(x101842,f892(x101841,x101842)),f893(x101842,f893(f893(f892(x101841,x101842),a878),a878)),x101841),f337(f8(f892(x101841,x101842),f893(f893(f892(x101841,x101842),a878),a878),x101842),f339(f892(x101841,x101842)))),f272(x101841,x101842)))),x101844)))
% 198.12/198.41 [9261]~P24(f337(f337(f339(f892(x92611,x92611)),x92612),f313(x92611,x92614)))+P24(f337(f337(f339(f892(x92611,x92611)),x92612),f313(x92611,f337(f337(f113(f893(f892(x92611,x92611),a878)),x92613),x92614))))
% 198.12/198.41 [9262]~P24(f337(f337(f339(f892(x92621,x92621)),x92622),f313(x92621,x92623)))+P24(f337(f337(f339(f892(x92621,x92621)),x92622),f313(x92621,f337(f337(f113(f893(f892(x92621,x92621),a878)),x92623),x92624))))
% 198.12/198.41 [9616]~E(f337(f175(x96161),x96164),f187(x96161,x96162,x96163))+E(f337(f181(x96161,x96162),f337(f337(f156(x96161,f892(x96161,x96162)),f337(f337(f18(x96161,x96162,f892(x96161,x96162)),f272(x96161,x96162)),f337(f337(f8(f887(x96162),x96162,x96161),f248(x96162)),x96163))),x96164)),x96163)
% 198.12/198.41 [9938]~P24(f337(f337(f251(a884),f337(f337(f81(a884),x99381),x99384)),f337(f337(f81(a884),x99383),x99382)))+P24(f337(f337(f251(a1),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x99381),x99382)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x99383),x99384)),f197(f893(f892(a884,a884),a878)))))))
% 198.12/198.41 [9939]~P24(f337(f337(f252(a884),f337(f337(f81(a884),x99391),x99394)),f337(f337(f81(a884),x99393),x99392)))+P24(f337(f337(f252(a1),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x99391),x99392)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x99393),x99394)),f197(f893(f892(a884,a884),a878)))))))
% 198.12/198.41 [10016]P24(f337(f337(f251(a884),f337(f337(f81(a884),x100161),x100162)),f337(f337(f81(a884),x100163),x100164)))+~P24(f337(f337(f251(a1),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x100161),x100164)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x100163),x100162)),f197(f893(f892(a884,a884),a878)))))))
% 198.12/198.41 [10017]P24(f337(f337(f252(a884),f337(f337(f81(a884),x100171),x100172)),f337(f337(f81(a884),x100173),x100174)))+~P24(f337(f337(f252(a1),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x100171),x100174)),f197(f893(f892(a884,a884),a878)))))),f337(a90,f337(f291(f892(a884,a884),f892(a884,a884),a111),f337(f337(f315(f892(a884,a884)),f337(f337(f272(a884,a884),x100173),x100172)),f197(f893(f892(a884,a884),a878)))))))
% 198.12/198.41 [10059]P24(f337(f337(f251(f893(x100591,a878)),f337(f337(f42(a884,f893(x100591,a878)),f260(f893(a884,a878))),x100592)),f337(f337(f42(a884,f893(x100591,a878)),f260(f893(a884,a878))),x100593)))+~P24(f337(f337(f251(f893(x100591,a878)),f337(f337(f42(a884,f893(x100591,a878)),f337(f307(a884,f2(a884)),f473(x100593,x100594,x100592,x100591))),x100592)),f337(f337(f42(a884,f893(x100591,a878)),f337(f307(a884,f2(a884)),f337(f337(f81(a884),f473(x100593,x100594,x100592,x100591)),x100594))),x100593)))
% 198.12/198.41 [10156]~P24(f337(f337(f339(x101562),x101564),f337(f268(x101561,x101562),x101563)))+P24(f337(f267(x101561,x101562,f337(f337(f7(x101561,f893(f892(x101561,x101562),a878),f893(x101562,a878)),f337(f337(f8(f893(x101562,f893(f893(f892(x101561,x101562),a878),a878)),f893(f893(f892(x101561,x101562),a878),f893(x101562,a878)),x101561),f7(x101562,f893(f892(x101561,x101562),a878),a878)),f337(f337(f8(f893(x101562,f892(x101561,x101562)),f893(x101562,f893(f893(f892(x101561,x101562),a878),a878)),x101561),f337(f8(f892(x101561,x101562),f893(f893(f892(x101561,x101562),a878),a878),x101562),f339(f892(x101561,x101562)))),f272(x101561,x101562)))),x101563)),x101564))
% 198.12/198.41 [10157]~P24(f337(f337(f339(x101571),x101574),f337(f270(x101571,x101572),x101573)))+P24(f337(f266(x101571,x101572,f337(f337(f7(x101571,f893(f892(x101571,x101572),a878),f893(x101572,a878)),f337(f337(f8(f893(x101572,f893(f893(f892(x101571,x101572),a878),a878)),f893(f893(f892(x101571,x101572),a878),f893(x101572,a878)),x101571),f7(x101572,f893(f892(x101571,x101572),a878),a878)),f337(f337(f8(f893(x101572,f892(x101571,x101572)),f893(x101572,f893(f893(f892(x101571,x101572),a878),a878)),x101571),f337(f8(f892(x101571,x101572),f893(f893(f892(x101571,x101572),a878),a878),x101572),f339(f892(x101571,x101572)))),f272(x101571,x101572)))),x101573)),x101574))
% 198.12/198.41 [10169]P24(f337(f337(f339(x101691),x101692),f337(f268(x101693,x101691),x101694)))+~P24(f337(f267(x101693,x101691,f337(f337(f7(x101693,f893(f892(x101693,x101691),a878),f893(x101691,a878)),f337(f337(f8(f893(x101691,f893(f893(f892(x101693,x101691),a878),a878)),f893(f893(f892(x101693,x101691),a878),f893(x101691,a878)),x101693),f7(x101691,f893(f892(x101693,x101691),a878),a878)),f337(f337(f8(f893(x101691,f892(x101693,x101691)),f893(x101691,f893(f893(f892(x101693,x101691),a878),a878)),x101693),f337(f8(f892(x101693,x101691),f893(f893(f892(x101693,x101691),a878),a878),x101691),f339(f892(x101693,x101691)))),f272(x101693,x101691)))),x101694)),x101692))
% 198.12/198.41 [10170]P24(f337(f337(f339(x101701),x101702),f337(f270(x101701,x101703),x101704)))+~P24(f337(f266(x101701,x101703,f337(f337(f7(x101701,f893(f892(x101701,x101703),a878),f893(x101703,a878)),f337(f337(f8(f893(x101703,f893(f893(f892(x101701,x101703),a878),a878)),f893(f893(f892(x101701,x101703),a878),f893(x101703,a878)),x101701),f7(x101703,f893(f892(x101701,x101703),a878),a878)),f337(f337(f8(f893(x101703,f892(x101701,x101703)),f893(x101703,f893(f893(f892(x101701,x101703),a878),a878)),x101701),f337(f8(f892(x101701,x101703),f893(f893(f892(x101701,x101703),a878),a878),x101703),f339(f892(x101701,x101703)))),f272(x101701,x101703)))),x101704)),x101702))
% 198.12/198.41 [9856]P24(f337(f162(x98561,x98562),x98563))+~P24(f337(f162(x98561,f337(f337(f18(x98561,a878,a878),f337(f337(f8(a878,f893(a878,a878),x98561),a335),x98564)),x98562)),x98563))
% 198.12/198.41 [9857]P24(f337(f162(x98571,x98572),x98573))+~P24(f337(f162(x98571,f337(f337(f18(x98571,a878,a878),f337(f337(f8(a878,f893(a878,a878),x98571),a335),x98572)),x98574)),x98573))
% 198.12/198.41 [9940]~P110(x99401)+E(f337(f337(f82(x99401),f337(f337(f81(x99401),f79(x99401)),f79(x99401))),f337(f337(f6(a884,x99401),f337(f337(f8(x99401,x99401,a884),f337(f81(x99401),x99402)),f337(f337(f7(a884,x99401,x99401),f337(f337(f8(x99401,f893(x99401,x99401),a884),f82(x99401)),f103(x99401))),x99403))),f337(f258(a884),x99404))),f337(f337(f82(x99401),f337(f103(x99401),x99404)),f337(f337(f81(x99401),x99402),f337(f337(f81(x99401),x99402),f337(f337(f82(x99401),f337(f103(x99401),f337(f337(f22(a884),x99404),f79(a884)))),x99403)))))
% 198.12/198.41 [10080]P24(f337(x100801,f529(x100802,x100803,x100804,x100801)))+P39(x100802,f337(f257(f892(x100802,x100802)),f337(f276(x100802,x100802,a878),f337(f337(f8(f893(x100802,a878),f893(x100802,a878),x100802),f337(f18(x100802,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100802),a335),x100801))),f337(f337(f7(x100802,f893(x100802,x100802),f893(x100802,a878)),f337(f337(f8(f893(x100802,a878),f893(f893(x100802,x100802),f893(x100802,a878)),x100802),f8(x100802,a878,x100802)),a334)),x100803)))))
% 198.12/198.41 [10094]~P24(f337(f337(f252(a884),f337(x100944,f337(x100943,f529(x100941,x100943,x100944,x100942)))),f337(x100944,f529(x100941,x100943,x100944,x100942))))+P39(x100941,f337(f257(f892(x100941,x100941)),f337(f276(x100941,x100941,a878),f337(f337(f8(f893(x100941,a878),f893(x100941,a878),x100941),f337(f18(x100941,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100941),a335),x100942))),f337(f337(f7(x100941,f893(x100941,x100941),f893(x100941,a878)),f337(f337(f8(f893(x100941,a878),f893(f893(x100941,x100941),f893(x100941,a878)),x100941),f8(x100941,a878,x100941)),a334)),x100943)))))
% 198.12/198.41 [10197]~P24(f337(f337(f339(f892(x101971,x101971)),f337(f337(f272(x101971,x101971),x101973),x101974)),f337(f337(f113(f893(f892(x101971,x101971),a878)),x101972),f313(x101971,f197(f893(f892(x101971,x101971),a878))))))+P24(f337(f337(f337(f337(f113(f893(x101971,f893(x101971,a878))),f337(f337(f7(x101971,f893(f892(x101971,x101971),a878),f893(x101971,a878)),f337(f337(f8(f893(x101971,f893(f893(f892(x101971,x101971),a878),a878)),f893(f893(f892(x101971,x101971),a878),f893(x101971,a878)),x101971),f7(x101971,f893(f892(x101971,x101971),a878),a878)),f337(f337(f8(f893(x101971,f892(x101971,x101971)),f893(x101971,f893(f893(f892(x101971,x101971),a878),a878)),x101971),f337(f8(f892(x101971,x101971),f893(f893(f892(x101971,x101971),a878),a878),x101971),f339(f892(x101971,x101971)))),f272(x101971,x101971)))),x101972)),a334),x101973),x101974))
% 198.12/198.41 [10207]P24(f337(f337(f339(f892(x102071,x102071)),f337(f337(f272(x102071,x102071),x102072),x102073)),f337(f337(f113(f893(f892(x102071,x102071),a878)),x102074),f313(x102071,f197(f893(f892(x102071,x102071),a878))))))+~P24(f337(f337(f337(f337(f113(f893(x102071,f893(x102071,a878))),f337(f337(f7(x102071,f893(f892(x102071,x102071),a878),f893(x102071,a878)),f337(f337(f8(f893(x102071,f893(f893(f892(x102071,x102071),a878),a878)),f893(f893(f892(x102071,x102071),a878),f893(x102071,a878)),x102071),f7(x102071,f893(f892(x102071,x102071),a878),a878)),f337(f337(f8(f893(x102071,f892(x102071,x102071)),f893(x102071,f893(f893(f892(x102071,x102071),a878),a878)),x102071),f337(f8(f892(x102071,x102071),f893(f893(f892(x102071,x102071),a878),a878),x102071),f339(f892(x102071,x102071)))),f272(x102071,x102071)))),x102074)),a334),x102072),x102073))
% 198.12/198.41 [10154]E(f337(f337(f153(f885(x101541)),f337(f337(f153(x101541),x101542),f337(f144(f885(x101541),f885(x101541),f136(x101541),f116(x101541)),f337(f337(f156(f885(x101541),f885(x101541)),f158(f885(x101541),x101541,f116(x101541),f337(f337(f8(f885(x101541),f893(f885(x101541),f885(x101541)),x101541),f16(f885(x101541),f885(x101541))),f337(f337(f7(x101541,f885(x101541),f885(x101541)),f153(x101541)),f116(x101541))))),x101543)))),f183(x101541,f337(f337(f153(f885(x101541)),x101544),f337(f144(f885(f885(x101541)),f885(f885(x101541)),f136(f885(x101541)),f116(f885(x101541))),f337(f337(f156(f885(x101541),f885(f885(x101541))),f158(f885(f885(x101541)),x101541,f116(f885(x101541)),f337(f16(f893(f885(x101541),f885(f885(x101541))),x101541),f337(f337(f7(f885(x101541),f885(f885(x101541)),f885(f885(x101541))),f153(f885(x101541))),f116(f885(x101541)))))),x101543))))),f183(x101541,f337(f337(f153(f885(x101541)),f337(f337(f153(x101541),x101542),x101544)),x101543)))+~P24(f337(f325(f885(f885(x101541)),f184(x101541)),f337(f337(f153(f885(x101541)),f337(f337(f153(x101541),x101542),x101544)),x101543)))
% 198.12/198.41 [10196]~P24(f337(f62(x101962),f337(f257(x101962),x101964)))+P24(f337(f62(x101961),f337(f257(x101961),f337(f337(f8(f893(x101962,a878),a878,x101961),f88(x101962)),f337(f337(f7(x101961,f893(x101962,a878),f893(x101962,a878)),f337(f337(f8(f893(x101962,f893(a878,a878)),f893(f893(x101962,a878),f893(x101962,a878)),x101961),f18(x101962,a878,a878)),f337(f337(f8(f893(x101962,a878),f893(x101962,f893(a878,a878)),x101961),f337(f8(a878,f893(a878,a878),x101962),a335)),f337(f337(f7(x101961,f893(x101962,x101961),f893(x101962,a878)),f337(f337(f8(f893(x101961,a878),f893(f893(x101962,x101961),f893(x101962,a878)),x101961),f8(x101961,a878,x101962)),a334)),x101963)))),x101964)))))
% 198.12/198.41 [5321]E(x53211,x53212)+~E(f130(x53213,x53214,x53211),f130(x53213,x53215,x53212))
% 198.12/198.41 [5322]E(x53221,x53222)+~E(f130(x53223,x53221,x53224),f130(x53223,x53222,x53225))
% 198.12/198.41 [5323]E(x53231,x53232)+~E(f172(x53233,x53231,x53234),f172(x53233,x53232,x53235))
% 198.12/198.41 [5701]E(f337(f337(f315(x57011),x57012),f187(x57011,x57013,x57014)),f187(x57011,x57013,x57014))+~E(f337(x57014,x57012),f337(f209(x57013),x57015))
% 198.12/198.41 [6110]P24(f337(f267(x61101,x61102,x61103),x61104))+~P24(f337(f337(x61103,x61105),x61104))
% 198.12/198.41 [6112]P24(f337(f266(x61121,x61122,x61123),x61124))+~P24(f337(f337(x61123,x61124),x61125))
% 198.12/198.41 [6115]~E(f337(x61154,x61152),f337(f209(x61153),x61155))+P24(f337(f337(f339(x61151),x61152),f187(x61151,x61153,x61154)))
% 198.12/198.41 [6116]~E(f337(x61164,x61165),f337(f209(x61161),x61162))+P24(f337(f337(f339(x61161),x61162),f189(x61163,x61161,x61164)))
% 198.12/198.41 [6586]~E(x65865,f2(a102))+E(f337(f208(x65861,x65862,x65863,x65864),x65865),f118(x65862))
% 198.12/198.41 [6587]~E(x65875,f2(a102))+E(f337(f205(x65871,x65872,x65873,x65874),x65875),f127(x65872))
% 198.12/198.41 [6722]~E(x67223,f2(a102))+E(f337(f286(x67221,x67222,x67223,x67224),x67225),f337(f272(x67221,x67222),x67225))
% 198.12/198.41 [6794]~E(f337(x67944,x67945),f210(x67942))+E(f337(f246(f887(x67941),x67942,f210(x67941),x67943),f337(x67944,x67945)),f210(x67941))
% 198.12/198.41 [7418]E(f337(x74181,x74182),f210(x74183))+~E(f337(f188(x74184,x74183,x74185,x74181),x74182),f210(x74183))
% 198.12/198.41 [7419]E(f337(x74191,x74192),f210(x74193))+~E(f337(f188(x74194,x74193,x74191,x74195),x74192),f210(x74193))
% 198.12/198.41 [7456]E(f337(f188(x74561,x74562,x74563,x74564),x74565),f337(x74563,x74565))+P24(f337(f337(f339(x74561),x74565),f187(x74561,x74562,x74564)))
% 198.12/198.41 [7457]E(f337(f188(x74571,x74572,x74573,x74574),x74575),f337(x74574,x74575))+P24(f337(f337(f339(x74571),x74575),f187(x74571,x74572,x74573)))
% 198.12/198.41 [7779]~P16(x77794,x77791,x77792,x77795)+E(f337(f74(x77791,x77791,x77791,f337(x77792,x77793)),f337(x77792,x77793)),f337(x77792,x77793))
% 198.12/198.41 [7823]E(f337(f188(x78231,x78232,x78233,x78234),x78235),f337(x78234,x78235))+~P24(f337(f337(f339(x78231),x78235),f187(x78231,x78232,x78234)))
% 198.12/198.41 [8163]~P12(x81635,x81631,x81632)+E(f337(f74(x81631,x81631,x81631,f337(x81632,x81633)),f337(x81632,x81634)),f337(f74(x81631,x81631,x81631,f337(x81632,x81634)),f337(x81632,x81633)))
% 198.12/198.41 [8487]P24(f337(f337(f339(f892(x84871,x84871)),f337(f337(f272(x84871,x84871),x84872),x84873)),f331(x84871,x84874,x84875)))+~P24(f337(f337(f252(a884),f337(x84874,x84872)),f337(x84874,x84873)))
% 198.12/198.41 [8575]~P24(f337(f337(f339(x85754),x85753),f301(x85754,x85751,x85752,x85755)))+P24(f337(f337(x85751,x85752),x85753))
% 198.12/198.41 [8576]~P24(f337(f337(f339(x85764),x85763),f304(x85764,x85761,x85762,x85765)))+P24(f337(f337(x85761,x85762),x85763))
% 198.12/198.41 [8577]~P24(f337(f337(f339(x85774),x85772),f301(x85774,x85771,x85775,x85773)))+P24(f337(f337(x85771,x85772),x85773))
% 198.12/198.41 [8578]~P24(f337(f337(f339(x85784),x85782),f304(x85784,x85781,x85785,x85783)))+P24(f337(f337(x85781,x85782),x85783))
% 198.12/198.41 [8716]~P53(x87162,x87161,x87165,x87163,x87164)+E(f337(f316(x87161,x87162,x87163),x87164),f260(f893(x87162,a878)))
% 198.12/198.41 [9147]~P36(x91471,x91472,x91473,x91474,x91475)+P36(x91471,x91472,x91473,f337(f171(x91471),x91474),f337(f171(x91472),x91475))
% 198.12/198.41 [9149]~P36(x91491,x91492,x91493,f337(f171(x91491),x91494),x91495)+P36(x91491,x91492,x91493,x91494,f337(f171(x91492),x91495))
% 198.12/198.41 [9150]~P36(x91501,x91502,x91503,x91504,f337(f171(x91502),x91505))+P36(x91501,x91502,x91503,f337(f171(x91501),x91504),x91505)
% 198.12/198.41 [9156]P36(x91561,x91562,x91563,x91564,x91565)+~P36(x91561,x91562,x91563,f337(f171(x91561),x91564),f337(f171(x91562),x91565))
% 198.12/198.41 [9540]P24(f337(f337(f339(f892(f885(x95401),f885(x95401))),f337(f337(f272(f885(x95401),f885(x95401)),f337(f337(f153(x95401),x95402),x95403)),f337(f337(f153(x95401),x95402),x95404))),f159(x95401,x95405)))+~P24(f337(f337(f339(f892(f885(x95401),f885(x95401))),f337(f337(f272(f885(x95401),f885(x95401)),x95403),x95404)),f159(x95401,x95405)))
% 198.12/198.41 [9541]P24(f337(f337(f339(f892(f885(x95411),f885(x95411))),f337(f337(f272(f885(x95411),f885(x95411)),f337(f337(f136(x95411),x95412),x95413)),f337(f337(f136(x95411),x95412),x95414))),f149(x95411,x95415)))+~P24(f337(f337(f339(f892(f885(x95411),f885(x95411))),f337(f337(f272(f885(x95411),f885(x95411)),x95413),x95414)),f149(x95411,x95415)))
% 198.12/198.41 [9731]E(f337(f337(f153(x97311),f676(x97312,x97313,x97314,x97315,x97311)),f677(x97312,x97313,x97314,x97315,x97311)),x97315)+~P24(f337(f337(f339(f892(f885(x97311),f885(x97311))),f337(f337(f272(f885(x97311),f885(x97311)),x97315),f337(f337(f153(x97311),x97314),x97313))),f160(x97311,x97312)))
% 198.12/198.41 [9753]E(f337(f337(f153(x97531),f678(x97532,x97533,x97534,x97535,x97531)),f679(x97532,x97533,x97534,x97535,x97531)),x97533)+~P24(f337(f337(f339(f892(f885(x97531),f885(x97531))),f337(f337(f272(f885(x97531),f885(x97531)),f337(f337(f153(x97531),x97535),x97534)),x97533)),f160(x97531,x97532)))
% 198.12/198.41 [9914]~P24(f337(f337(f339(f892(f885(x99141),f885(x99141))),f337(f337(f272(f885(x99141),f885(x99141)),f337(f337(f153(x99141),x99145),x99142)),x99144)),f160(x99141,x99143)))+P24(f337(f337(f339(f892(f885(x99141),f885(x99141))),f337(f337(f272(f885(x99141),f885(x99141)),x99142),f679(x99143,x99144,x99142,x99145,x99141))),f160(x99141,x99143)))
% 198.12/198.41 [9984]~P24(f337(f337(f339(f892(f885(x99841),f885(x99841))),f337(f337(f272(f885(x99841),f885(x99841)),x99845),f337(f337(f153(x99841),x99844),x99843))),f160(x99841,x99842)))+P24(f337(f337(f339(f892(f885(x99841),f885(x99841))),f337(f337(f272(f885(x99841),f885(x99841)),f677(x99842,x99843,x99844,x99845,x99841)),x99843)),f160(x99841,x99842)))
% 198.12/198.41 [10149]P24(f337(f337(f339(f892(x101491,x101491)),f337(f337(f272(x101491,x101491),f337(x101492,f337(f337(f81(a884),x101493),x101494))),f337(x101492,x101493))),f313(x101491,x101495)))+~P24(f337(f337(f339(f892(x101491,x101491)),f337(f337(f272(x101491,x101491),f337(x101492,f337(a115,f589(x101494,x101493,x101495,x101492,x101491)))),f337(x101492,f589(x101494,x101493,x101495,x101492,x101491)))),f313(x101491,x101495)))
% 198.12/198.41 [5287]E(x52871,x52872)+~E(f337(f337(f153(x52873),x52874),x52871),f337(f337(f153(x52873),x52875),x52872))
% 198.12/198.41 [5288]E(x52881,x52882)+~E(f337(f337(f153(x52883),x52881),x52884),f337(f337(f153(x52883),x52882),x52885))
% 198.12/198.41 [5339]P24(f337(x53391,x53392))+~E(f337(f138(x53393,x53391),x53394),f337(f337(f153(x53393),x53392),x53395))
% 198.12/198.41 [5340]P24(f337(x53401,x53402))+~E(f337(f337(f153(x53403),x53402),x53404),f337(f138(x53403,x53401),x53405))
% 198.12/198.41 [5497]~E(f337(f337(f140(x54971),x54973),x54972),f337(f337(f153(x54971),x54974),x54975))+E(f337(f337(f167(x54971),x54972),x54973),x54974)
% 198.12/198.41 [5631]~P11(x56314,x56315,x56311)+E(f337(f337(x56311,x56312),f337(f337(x56311,x56312),x56313)),f337(f337(x56311,x56312),x56313))
% 198.12/198.41 [6168]~E(x61684,f2(a102))+E(f337(f337(f120(x61681,x61682,x61683),x61684),x61685),f337(f337(f272(f885(x61682),x61681),f116(x61682)),x61685))
% 198.12/198.41 [6243]~P105(x62432)+~E(f337(f337(f150(x62431,x62432,x62433),x62434),x62435),f116(x62431))
% 198.12/198.41 [6624]E(x66241,x66242)+~E(f337(f337(f136(x66243),x66244),f337(f337(f153(x66243),x66241),f116(x66243))),f337(f337(f136(x66243),x66245),f337(f337(f153(x66243),x66242),f116(x66243))))
% 198.12/198.41 [6625]E(x66251,x66252)+~E(f337(f337(f136(x66253),x66251),f337(f337(f153(x66253),x66254),f116(x66253))),f337(f337(f136(x66253),x66252),f337(f337(f153(x66253),x66255),f116(x66253))))
% 198.12/198.41 [6878]E(f337(f191(x68781,x68782,x68783,x68784),x68785),f210(x68782))+P24(f337(f337(f339(x68781),x68785),x68784))
% 198.12/198.41 [6940]E(f337(f337(f315(x69401),f337(x69402,x69403)),f337(f316(x69404,x69401,x69402),x69405)),f337(f316(x69404,x69401,x69402),x69405))+~P24(f337(f337(f339(x69404),x69403),x69405))
% 198.12/198.41 [6947]~P24(f337(x69474,f337(x69473,x69475)))+P24(f337(f337(f317(x69471,x69472,x69473),x69474),x69475))
% 198.12/198.41 [6950]~P24(f337(f337(x69503,x69505),x69504))+P24(f337(f337(f261(x69501,x69502,x69503),x69504),x69505))
% 198.12/198.41 [7043]~E(f337(f316(x70431,x70432,x70433),x70434),x70435)+E(f337(f316(f893(x70431,a878),f893(x70432,a878),f316(x70431,x70432,x70433)),f337(f314(x70431),x70434)),f337(f314(x70432),x70435))
% 198.12/198.41 [7074]E(f337(f191(x70741,x70742,x70743,x70744),x70745),f337(x70743,x70745))+~P24(f337(f337(f339(x70741),x70745),x70744))
% 198.12/198.41 [7378]P21(x73781,x73782,x73783,x73784)+~P21(x73781,x73782,x73783,f337(f337(f315(x73781),x73785),x73784))
% 198.12/198.41 [7445]P24(f337(x74451,x74452))+~P24(f337(f337(f95(x74453,x74454,x74451),x74455),x74452))
% 198.12/198.41 [7490]~P24(f337(f337(f339(x74904),x74903),x74905))+P24(f337(f337(f339(x74901),f337(x74902,x74903)),f337(f316(x74904,x74901,x74902),x74905)))
% 198.12/198.41 [7513]~P105(x75132)+E(f152(x75131,x75132,x75133,f337(f138(x75131,x75134),x75135)),f337(f138(x75131,x75134),f152(x75131,x75132,x75133,x75135)))
% 198.12/198.41 [7546]P24(f337(x75461,f337(x75462,x75463)))+~P24(f337(f337(f317(x75464,x75465,x75462),x75461),x75463))
% 198.12/198.41 [7549]P24(f337(f337(x75491,x75492),x75493))+~P24(f337(f337(f261(x75494,x75495,x75491),x75493),x75492))
% 198.12/198.41 [7550]P24(f337(f337(x75501,x75502),x75503))+~P24(f337(f337(f95(x75504,x75501,x75505),x75502),x75503))
% 198.12/198.41 [7614]~P24(f337(f337(f339(x76143),f337(x76144,x76142)),x76145))+P24(f337(f337(f339(x76141),x76142),f337(f317(x76141,x76143,x76144),x76145)))
% 198.12/198.41 [8008]~P24(f337(f337(f339(x80085),x80083),f337(f317(x80085,x80081,x80082),x80084)))+P24(f337(f337(f339(x80081),f337(x80082,x80083)),x80084))
% 198.12/198.41 [8228]~E(x82283,f337(f337(f337(f73(x82281,f887(x82282)),f337(f16(f887(x82282),x82281),f210(x82282))),x82284),f337(f209(x82282),x82285)))+E(f187(x82281,x82282,x82283),f337(f337(f315(x82281),x82284),f197(f893(x82281,a878))))
% 198.12/198.41 [8308]~P12(x83082,x83081,x83083)+E(f337(f144(x83081,x83082,f337(f7(x83082,x83081,x83081),x83083),x83084),f154(x83082,x83085)),f337(f337(f65(x83082,x83081,x83083),x83084),f337(f175(x83082),x83085)))
% 198.12/198.41 [8328]E(f337(x83281,f789(x83282,x83281,x83283,x83284)),x83284)+~P24(f337(f337(f339(x83285),x83284),f337(f316(x83283,x83285,x83281),x83282)))
% 198.12/198.41 [8621]~E(x86212,f337(f337(f153(x86211),x86214),x86215))+P24(f337(f337(f339(f892(f885(x86211),f885(x86211))),f337(f337(f272(f885(x86211),f885(x86211)),f116(x86211)),x86212)),f149(x86211,x86213)))
% 198.12/198.41 [8672]~P36(x86721,x86723,x86725,x86722,x86724)+E(f337(f198(f885(x86721)),x86722),f337(f198(f885(x86723)),x86724))
% 198.12/198.41 [8683]P24(f337(f337(f251(f893(x86831,a878)),f337(f337(f43(x86832,f893(x86831,a878)),x86833),x86834)),f337(x86834,x86835)))+~P24(f337(f337(f339(x86832),x86835),x86833))
% 198.12/198.41 [8732]~P53(x87321,x87322,x87323,x87325,x87324)+E(f337(f316(x87321,x87322,x87323),f260(f893(x87321,a878))),x87324)
% 198.12/198.41 [8937]E(f337(f337(f337(f73(x89371,f887(x89372)),f191(x89371,x89372,x89373,x89374)),x89375),f210(x89372)),f191(x89371,x89372,x89373,x89374))+P24(f337(f337(f339(x89371),x89375),x89374))
% 198.12/198.41 [8942]E(f337(f138(x89421,x89422),f774(x89423,x89424,x89425,x89422,x89421)),x89423)+~E(f337(f138(x89421,x89422),x89425),f337(f337(f153(x89421),x89424),x89423))
% 198.12/198.41 [8943]E(f337(f138(x89431,x89432),f777(x89433,x89432,x89434,x89435,x89431)),x89434)+~E(f337(f337(f153(x89431),x89435),x89434),f337(f138(x89431,x89432),x89433))
% 198.12/198.41 [8944]E(f337(x89441,f664(x89442,x89443,x89441,x89444,x89445)),x89442)+~E(f337(f337(f211(x89445,x89444),x89441),x89443),f337(f209(x89444),x89442))
% 198.12/198.41 [8947]E(f337(f209(x89471),f664(x89472,x89473,x89474,x89475,x89471)),x89473)+~E(f337(f337(f211(x89471,x89475),x89474),x89473),f337(f209(x89475),x89472))
% 198.12/198.41 [9037]E(f337(f198(f885(x90371)),x90372),x90373)+~P24(f337(f337(f339(f892(f885(x90371),f885(x90371))),f337(f337(f272(f885(x90371),f885(x90371)),x90374),x90372)),f337(f145(x90371,x90375),x90373)))
% 198.12/198.41 [9038]E(f337(f198(f885(x90381)),x90382),x90383)+~P24(f337(f337(f339(f892(f885(x90381),f885(x90381))),f337(f337(f272(f885(x90381),f885(x90381)),x90382),x90384)),f337(f145(x90381,x90385),x90383)))
% 198.12/198.41 [9104]P24(f337(f337(f339(x91041),f789(x91042,x91043,x91041,x91044)),x91042))+~P24(f337(f337(f339(x91045),x91044),f337(f316(x91041,x91045,x91043),x91042)))
% 198.12/198.41 [9259]E(f337(f316(x92591,x92592,x92593),f838(x92594,x92593,x92591,x92595,x92592)),x92595)+~P24(f337(f337(f251(f893(x92592,a878)),x92595),f337(f316(x92591,x92592,x92593),x92594)))
% 198.12/198.41 [9511]E(f337(x95111,f846(x95112,x95111,x95113,x95114,x95115)),f337(f209(x95115),x95114))+~P24(f337(f337(f339(x95115),x95114),f189(x95113,x95115,f191(x95113,x95115,x95111,x95112))))
% 198.12/198.41 [9556]P24(f337(f337(f339(f892(f885(x95561),f885(x95561))),f337(f337(f272(f885(x95561),f885(x95561)),f337(f337(f153(x95561),x95562),x95563)),f337(f337(f153(x95561),x95562),x95564))),f313(f885(x95561),f159(x95561,x95565))))+~P24(f337(f337(f339(f892(f885(x95561),f885(x95561))),f337(f337(f272(f885(x95561),f885(x95561)),x95563),x95564)),f313(f885(x95561),f159(x95561,x95565))))
% 198.12/198.41 [9587]~E(f337(x95873,f669(x95875,x95874,x95873,x95872,x95871)),f337(x95875,f669(x95875,x95874,x95873,x95872,x95871)))+E(f337(f337(f156(x95871,x95872),x95873),x95874),f337(f337(f156(x95871,x95872),x95875),x95874))
% 198.12/198.41 [9663]~E(f337(f138(x96631,x96635),x96634),f337(f337(f153(x96631),x96633),x96632))+E(f337(f337(f136(x96631),f775(x96632,x96633,x96634,x96635,x96631)),f337(f337(f153(x96631),x96633),f774(x96632,x96633,x96634,x96635,x96631))),x96634)
% 198.12/198.41 [9664]~E(f337(f337(f153(x96641),x96645),x96644),f337(f138(x96641,x96643),x96642))+E(f337(f337(f136(x96641),f780(x96642,x96643,x96644,x96645,x96641)),f337(f337(f153(x96641),x96645),f777(x96642,x96643,x96644,x96645,x96641))),x96642)
% 198.12/198.41 [9668]E(f337(f337(f156(x96681,x96682),x96683),x96684),f337(f337(f156(x96681,x96682),x96685),x96684))+P24(f337(f337(f339(x96681),f669(x96683,x96684,x96685,x96682,x96681)),f337(f175(x96681),x96684)))
% 198.12/198.41 [9698]~P24(f337(f337(f339(x96985),x96984),f337(f291(x96981,x96985,x96983),x96982)))+P24(f337(f337(f339(x96981),f496(x96982,x96983,x96981,x96984,x96985)),x96982))
% 198.12/198.41 [9699]~P24(f337(f337(f339(x96995),x96994),f337(f291(x96991,x96995,x96993),x96992)))+P24(f337(f337(f339(x96991),f501(x96992,x96993,x96991,x96994,x96995)),x96992))
% 198.12/198.41 [9725]~P24(f337(f337(f251(f893(x97255,a878)),x97254),f337(f316(x97251,x97255,x97253),x97252)))+P24(f337(f337(f251(f893(x97251,a878)),f838(x97252,x97253,x97251,x97254,x97255)),x97252))
% 198.12/198.41 [9776]~P24(f337(f337(f339(x97765),x97764),f189(x97761,x97765,f191(x97761,x97765,x97763,x97762))))+P24(f337(f337(f339(x97761),f846(x97762,x97763,x97761,x97764,x97765)),x97762))
% 198.12/198.41 [10172]E(x101721,f2(a102))+E(f337(f246(f892(f885(x101722),x101723),f892(x101722,x101723),f337(f337(f272(f885(x101722),x101723),f116(x101722)),x101724),f337(f276(x101722,x101723,f892(f885(x101722),x101723)),f337(f337(f7(x101722,f893(x101723,f892(f885(x101722),x101723)),f893(x101723,f892(f885(x101722),x101723))),f337(f337(f8(f893(f892(f885(x101722),x101723),f892(f885(x101722),x101723)),f893(f893(x101723,f892(f885(x101722),x101723)),f893(x101723,f892(f885(x101722),x101723))),x101722),f8(f892(f885(x101722),x101723),f892(f885(x101722),x101723),x101723)),f337(f337(f8(f893(f885(x101722),f893(x101723,f892(f885(x101722),x101723))),f893(f892(f885(x101722),x101723),f892(f885(x101722),x101723)),x101722),f276(f885(x101722),x101723,f892(f885(x101722),x101723))),f337(f337(f8(f893(f885(x101722),f885(x101722)),f893(f885(x101722),f893(x101723,f892(f885(x101722),x101723))),x101722),f337(f8(f885(x101722),f893(x101723,f892(f885(x101722),x101723)),f885(x101722)),f272(f885(x101722),x101723))),f153(x101722))))),f337(f120(x101723,x101722,x101725),f337(f337(f22(a102),x101721),f79(a102)))))),f337(x101725,x101724)),f337(f337(f120(x101723,x101722,x101725),x101721),x101724))
% 198.12/198.41 [5510]~E(f337(x55103,x55104),x55105)+E(f337(f337(f337(f73(x55101,x55102),x55103),x55104),x55105),x55103)
% 198.12/198.41 [5955]E(f337(x59551,x59552),x59553)+~E(f337(f337(f337(f73(x59554,x59555),x59551),x59552),x59553),x59551)
% 198.12/198.41 [6049]E(x60491,x60492)+~E(f337(f275(x60493,x60494),f337(f337(f272(x60493,x60494),x60495),x60491)),x60492)
% 198.12/198.41 [6050]E(x60501,x60502)+~E(f337(f271(x60503,x60504),f337(f337(f272(x60503,x60504),x60501),x60505)),x60502)
% 198.12/198.41 [6318]~E(x63183,f337(f337(f136(x63181),x63184),f337(f337(f153(x63181),x63182),x63185)))+P24(f337(f337(f339(x63181),x63182),f337(f175(x63181),x63183)))
% 198.12/198.41 [6709]E(f337(f316(x67091,x67092,f337(f16(x67092,x67091),x67093)),x67094),f337(f337(f315(x67092),x67093),f197(f893(x67092,a878))))+~P24(f337(f337(f339(x67091),x67095),x67094))
% 198.12/198.41 [6779]E(f337(f337(f113(f893(x67791,a878)),f337(f175(x67791),x67792)),f337(f175(x67791),x67793)),f337(f175(x67791),x67794))+~E(f169(x67791,x67795,x67794),f337(f337(f272(f885(x67791),f885(x67791)),x67792),x67793))
% 198.12/198.41 [6882]~P105(x68822)+E(f337(f198(f885(x68821)),f337(f337(f150(x68821,x68822,x68823),x68824),x68825)),f337(a115,f337(f198(f885(x68821)),x68825)))
% 198.12/198.41 [6894]~P105(x68942)+E(f337(f175(x68941),f337(f337(f150(x68941,x68942,x68943),x68944),x68945)),f337(f337(f315(x68941),x68944),f337(f175(x68941),x68945)))
% 198.12/198.41 [7166]~P110(x71661)+E(f337(f337(f82(x71661),f337(f337(f82(x71661),x71662),x71663)),f337(f337(f82(x71661),x71664),x71665)),f337(f337(f82(x71661),f337(f337(f82(x71661),x71662),x71664)),f337(f337(f82(x71661),x71663),x71665)))
% 198.12/198.41 [7167]~P110(x71671)+E(f337(f337(f81(x71671),f337(f337(f81(x71671),x71672),x71673)),f337(f337(f81(x71671),x71674),x71675)),f337(f337(f81(x71671),f337(f337(f81(x71671),x71672),x71674)),f337(f337(f81(x71671),x71673),x71675)))
% 198.12/198.41 [7168]~P58(x71681)+E(f337(f337(f295(x71681),f337(f337(f82(x71681),x71682),x71683)),f337(f337(f82(x71681),x71684),x71685)),f337(f337(f82(x71681),f337(f337(f295(x71681),x71682),x71684)),f337(f337(f295(x71681),x71683),x71685)))
% 198.12/198.41 [7182]~P105(x71821)+E(f308(x71821,f337(f337(f250(x71821),x71822),x71823),f337(f337(f249(x71821),x71824),x71825)),f337(f337(f104(f893(x71821,a878)),f308(x71821,x71822,x71824)),f308(x71821,x71823,x71825)))
% 198.12/198.41 [7183]~P105(x71831)+E(f311(x71831,f337(f337(f250(x71831),x71832),x71833),f337(f337(f249(x71831),x71834),x71835)),f337(f337(f104(f893(x71831,a878)),f311(x71831,x71832,x71834)),f311(x71831,x71833,x71835)))
% 198.12/198.41 [7184]~P105(x71841)+E(f310(x71841,f337(f337(f250(x71841),x71842),x71843),f337(f337(f249(x71841),x71844),x71845)),f337(f337(f104(f893(x71841,a878)),f310(x71841,x71842,x71844)),f310(x71841,x71843,x71845)))
% 198.12/198.41 [7185]~P105(x71851)+E(f337(f337(f104(f893(x71851,a878)),f337(f307(x71851,x71852),x71853)),f337(f307(x71851,x71854),x71855)),f337(f307(x71851,f337(f337(f250(x71851),x71852),x71854)),f337(f337(f249(x71851),x71853),x71855)))
% 198.12/198.41 [7301]~P24(f337(x73011,f481(x73013,x73012,x73011)))+P24(f337(x73011,f337(f337(f272(x73012,x73013),x73014),x73015)))
% 198.12/198.41 [7391]~E(f337(x73913,x73914),f210(x73912))+E(f189(x73911,x73912,f337(f337(f337(f73(x73911,f887(x73912)),x73913),x73914),f337(f209(x73912),x73915))),f337(f337(f315(x73912),x73915),f189(x73911,x73912,x73913)))
% 198.12/198.41 [7410]~E(x74102,f337(x74104,x74105))+P24(f337(f337(f339(x74101),x74102),f337(f316(x74103,x74101,x74104),f260(f893(x74103,a878)))))
% 198.12/198.41 [7468]~E(f337(x74683,x74684),f210(x74682))+E(f337(f337(f22(f893(x74681,a878)),f187(x74681,x74682,x74683)),f337(f337(f315(x74681),x74684),x74685)),f337(f337(f22(f893(x74681,a878)),f187(x74681,x74682,x74683)),x74685))
% 198.12/198.41 [7487]~P11(x74873,x74872,x74874)+P11(x74871,x74872,f337(f337(f8(x74873,f893(x74872,x74872),x74871),x74874),x74875))
% 198.12/198.41 [7488]~P12(x74883,x74882,x74884)+P12(x74881,x74882,f337(f337(f8(x74883,f893(x74882,x74882),x74881),x74884),x74885))
% 198.12/198.41 [7631]~P21(x76311,x76312,x76313,x76314)+P21(x76311,x76312,x76313,f337(f337(f22(f893(x76311,a878)),x76314),x76315))
% 198.12/198.41 [7788]~P24(f337(f337(x77883,x77884),x77885))+P24(f337(f337(f276(x77881,x77882,a878),x77883),f337(f337(f272(x77881,x77882),x77884),x77885)))
% 198.12/198.41 [7898]~P24(f337(x78982,x78984))+~E(f337(f337(f140(x78981),f337(f198(f885(x78981)),f180(x78981,x78982,x78983))),x78983),f337(f337(f153(x78981),x78984),x78985))
% 198.12/198.41 [7918]P21(x79181,x79182,x79183,x79184)+~P21(x79181,x79182,x79183,f337(f337(f113(f893(x79181,a878)),x79185),x79184))
% 198.12/198.41 [7919]P21(x79191,x79192,x79193,x79194)+~P21(x79191,x79192,x79193,f337(f337(f113(f893(x79191,a878)),x79194),x79195))
% 198.12/198.41 [7965]~P105(x79652)+E(f337(f337(f150(x79651,x79652,x79653),x79654),f152(x79651,x79652,x79653,x79655)),f152(x79651,x79652,x79653,f337(f337(f153(x79651),x79654),x79655)))
% 198.12/198.41 [8123]~P31(x81231,f337(a115,x81232),f337(f337(f337(f93(x81231),x81233),f337(a28,x81234)),x81235))+P31(x81231,x81232,f337(f337(f337(f93(x81231),x81233),f337(f248(a880),f337(a26,x81234))),x81235))
% 198.12/198.41 [8255]P31(x82551,f337(a115,x82552),f337(f337(f337(f93(x82551),x82553),f337(a28,x82554)),x82555))+~P31(x82551,x82552,f337(f337(f337(f93(x82551),x82553),f337(f248(a880),f337(a26,x82554))),x82555))
% 198.12/198.41 [8284]~P11(x82842,x82841,x82843)+E(f337(f144(x82841,x82842,f337(f7(x82842,x82841,x82841),x82843),x82844),x82845),f337(f337(f65(x82842,x82841,x82843),x82844),f337(f175(x82842),x82845)))
% 198.12/198.41 [8313]~E(f337(f337(f140(x83131),f337(f198(f885(x83131)),f180(x83131,x83132,x83133))),x83133),f337(f337(f153(x83131),x83134),x83135))+E(f337(f337(f136(x83131),f180(x83131,x83132,x83133)),f337(f337(f153(x83131),x83134),x83135)),x83133)
% 198.12/198.41 [8338]P24(f337(f337(x83381,x83382),x83383))+~P24(f337(f337(f276(x83384,x83385,a878),x83381),f337(f337(f272(x83384,x83385),x83382),x83383)))
% 198.12/198.41 [8399]~E(f337(f337(f181(x83991,x83992),x83995),x83993),f337(f209(x83992),x83994))+P24(f337(f337(f339(f892(x83991,x83992)),f337(f337(f272(x83991,x83992),x83993),x83994)),f337(f175(f892(x83991,x83992)),x83995)))
% 198.12/198.41 [8787]P24(f337(f337(f251(f893(x87871,a878)),f337(f316(x87872,x87871,x87873),x87874)),f337(f316(x87872,x87871,x87873),x87875)))+~P24(f337(f337(f251(f893(x87872,a878)),x87874),x87875))
% 198.12/198.41 [8788]P24(f337(f337(f251(f893(x87881,a878)),f337(f317(x87881,x87882,x87883),x87884)),f337(f317(x87881,x87882,x87883),x87885)))+~P24(f337(f337(f251(f893(x87882,a878)),x87884),x87885))
% 198.12/198.41 [8863]E(x88631,f2(a102))+E(f337(f337(f278(x88632,x88633,x88632,f892(x88633,x88632)),f337(x88634,x88635)),f286(x88633,x88632,f337(f337(f22(a102),x88631),f79(a102)),x88634)),f337(f286(x88633,x88632,x88631,x88634),x88635))
% 198.12/198.41 [9366]E(f337(f209(x93661),f673(x93662,x93663,x93664,x93661,x93665)),f337(f337(f181(x93665,x93661),x93662),x93664))+~P24(f337(f337(f339(f892(x93665,x93661)),f337(f337(f272(x93665,x93661),x93664),x93663)),f337(f175(f892(x93665,x93661)),x93662)))
% 198.12/198.41 [9475]~P20(x94751,x94752,f337(f337(f315(f882(x94751)),f337(f337(f337(f93(x94751),x94753),f337(f248(a880),f337(a26,x94754))),x94755)),f197(f893(f882(x94751),a878))))+P20(x94751,x94752,f337(f337(f315(f882(x94751)),f337(f337(f337(f93(x94751),x94753),f337(a28,x94754)),x94755)),f197(f893(f882(x94751),a878))))
% 198.12/198.41 [9503]~P24(f337(f62(x95033),f337(f316(x95032,x95033,x95035),f260(f893(x95032,a878)))))+P24(f337(f62(x95031),f337(f316(x95032,x95031,f337(f337(f8(x95033,x95031,x95032),x95034),x95035)),f260(f893(x95032,a878)))))
% 198.12/198.41 [9526]P24(f337(f337(f251(f893(f893(x95261,a878),a878)),f337(f316(f893(x95262,a878),f893(x95261,a878),f316(x95262,x95261,x95263)),f337(f314(x95262),x95264))),f337(f314(x95261),x95265)))+~P24(f337(f337(f251(f893(x95261,a878)),f337(f316(x95262,x95261,x95263),x95264)),x95265))
% 198.12/198.41 [9536]~P24(f337(f62(f887(x95361)),f337(f316(x95362,f887(x95361),x95363),f260(f893(x95362,a878)))))+P24(f337(f62(f887(x95361)),f337(f316(x95362,f887(x95361),f337(f337(f337(f73(x95362,f887(x95361)),x95363),x95364),f337(f209(x95361),x95365))),f260(f893(x95362,a878)))))
% 198.12/198.41 [9596]E(x95961,x95962)+~P24(f337(f67(x95963,x95964,x95965,x95961,f197(f893(x95963,a878))),x95962))
% 198.12/198.41 [9611]E(f337(f337(f272(x96111,x96112),f543(x96113,x96114,x96115,x96112,x96111)),f544(x96113,x96114,x96115,x96112,x96111)),x96115)+~P24(f337(f337(f339(f892(x96111,x96112)),x96115),f337(f337(f274(x96111,x96112),x96114),x96113)))
% 198.12/198.41 [9703]P24(f337(f337(f339(x97031),f543(x97032,x97033,x97034,x97035,x97031)),x97033))+~P24(f337(f337(f339(f892(x97031,x97035)),x97034),f337(f337(f274(x97031,x97035),x97033),x97032)))
% 198.12/198.41 [9812]P20(x98125,x98124,f337(f337(f315(f882(x98125)),f337(f337(f337(f93(x98125),x98121),x98123),x98122)),f197(f893(f882(x98125),a878))))+P24(f337(f337(x98121,f478(x98122,x98123,x98124,x98125,x98121)),f488(x98122,x98123,x98124,x98125,x98121)))
% 198.12/198.41 [9865]P24(f337(f337(f339(x98651),f544(x98652,x98653,x98654,x98651,x98655)),f337(x98652,f543(x98652,x98653,x98654,x98651,x98655))))+~P24(f337(f337(f339(f892(x98655,x98651)),x98654),f337(f337(f274(x98655,x98651),x98653),x98652)))
% 198.12/198.41 [9890]P24(f337(f337(f339(f892(x98901,x98901)),f337(f337(f272(x98901,x98901),x98902),f615(x98903,x98904,x98905,x98902,x98901))),x98903))+~P24(f337(f337(f339(f892(x98901,x98901)),f337(f337(f272(x98901,x98901),x98902),x98905)),f337(f337(f192(f892(x98901,x98901),a878),f337(a115,x98904)),x98903)))
% 198.12/198.41 [9891]P24(f337(f337(f339(f892(x98911,x98911)),f337(f337(f272(x98911,x98911),x98912),f618(x98913,x98914,x98915,x98912,x98911))),x98913))+~P24(f337(f337(f339(f892(x98911,x98911)),f337(f337(f272(x98911,x98911),x98912),x98915)),f337(f337(f192(f892(x98911,x98911),a878),f337(a115,x98914)),x98913)))
% 198.12/198.41 [9909]~P24(f337(f337(f339(f892(f885(x99091),f885(x99091))),f337(f337(f272(f885(x99091),f885(x99091)),f337(f337(f153(x99091),x99092),x99095)),x99094)),f160(x99091,x99093)))+P24(f337(f337(f339(f892(x99091,x99091)),f337(f337(f272(x99091,x99091),x99092),f678(x99093,x99094,x99095,x99092,x99091))),x99093))
% 198.12/198.41 [9911]~P20(x99111,x99112,f337(f337(f315(f882(x99111)),f337(f337(f337(f93(x99111),f95(x99111,x99113,x99114)),x99115),x99113)),f197(f893(f882(x99111),a878))))+P20(x99111,x99112,f337(f337(f315(f882(x99111)),f337(f337(f337(f93(x99111),x99113),f32(x99114,x99115)),f95(x99111,x99113,f337(f74(a878,a878,a879,a332),x99114)))),f197(f893(f882(x99111),a878))))
% 198.12/198.41 [9912]~P23(x99121,x99122,f337(f337(f315(f882(x99121)),f337(f337(f337(f93(x99121),f95(x99121,x99123,x99124)),x99125),x99123)),f197(f893(f882(x99121),a878))))+P23(x99121,x99122,f337(f337(f315(f882(x99121)),f337(f337(f337(f93(x99121),x99123),f32(x99124,x99125)),f95(x99121,x99123,f337(f74(a878,a878,a879,a332),x99124)))),f197(f893(f882(x99121),a878))))
% 198.12/198.41 [10173]P20(x101731,x101732,f337(f337(f315(f882(x101731)),f337(f337(f337(f93(x101731),x101733),x101734),x101735)),f197(f893(f882(x101731),a878))))+~P20(x101731,x101732,f337(f337(f315(f882(x101731)),f337(f337(f337(f93(x101731),f337(f16(f893(a879,a878),x101731),f337(f337(f7(a879,a879,a878),a334),f488(x101735,x101734,x101732,x101731,x101733)))),x101734),f337(f16(f893(a879,a878),x101731),f337(x101735,f478(x101735,x101734,x101732,x101731,x101733))))),f197(f893(f882(x101731),a878))))
% 198.12/198.41 [6391]P24(f337(x63912,x63914))+E(f180(x63911,x63912,f337(f337(f136(x63911),x63913),f337(f337(f153(x63911),x63914),x63915))),f180(x63911,x63912,x63913))
% 198.12/198.41 [6439]~P64(x64392)+E(f337(f337(f337(f113(f893(x64391,x64392)),x64393),x64394),x64395),f337(f337(f113(x64392),f337(x64393,x64395)),f337(x64394,x64395)))
% 198.12/198.41 [6441]~P66(x64412)+E(f337(f337(f337(f22(f893(x64411,x64412)),x64413),x64414),x64415),f337(f337(f22(x64412),f337(x64413,x64415)),f337(x64414,x64415)))
% 198.12/198.41 [6443]~P64(x64432)+E(f337(f337(f337(f104(f893(x64431,x64432)),x64433),x64434),x64435),f337(f337(f104(x64432),f337(x64433,x64435)),f337(x64434,x64435)))
% 198.12/198.41 [6461]E(x64611,x64612)+E(f337(f337(f167(x64613),f337(f337(f161(x64613,x64614),x64611),x64615)),x64612),f337(f337(f167(x64613),x64614),x64612))
% 198.12/198.41 [6727]~E(x67274,f197(f893(x67273,a878)))+E(f337(f337(f113(f893(x67271,a878)),x67272),f337(f337(f42(x67273,f893(x67271,a878)),x67274),x67275)),x67272)
% 198.12/198.41 [6728]~E(x67284,f197(f893(x67283,a878)))+E(f337(f337(f22(f893(x67281,a878)),x67282),f337(f337(f42(x67283,f893(x67281,a878)),x67284),x67285)),x67282)
% 198.12/198.41 [6729]~E(x67294,f197(f893(x67293,a878)))+E(f337(f337(f104(f893(x67291,a878)),x67292),f337(f337(f43(x67293,f893(x67291,a878)),x67294),x67295)),x67292)
% 198.12/198.41 [6743]~E(x67434,f197(f893(x67433,a878)))+E(f337(f337(f315(x67431),x67432),f337(f337(f42(x67433,f893(x67431,a878)),x67434),x67435)),f337(f337(f315(x67431),x67432),f197(f893(x67431,a878))))
% 198.12/198.41 [7535]E(f337(f337(f167(x75351),f337(f337(f156(x75352,x75351),x75353),x75354)),x75355),f337(x75353,f337(f337(f167(x75352),x75354),x75355)))+~P24(f337(f337(f252(a884),x75355),f337(f198(f885(x75352)),x75354)))
% 198.12/198.41 [7602]E(f337(f337(f113(f893(x76021,a878)),f337(x76022,x76023)),f337(f337(f42(x76024,f893(x76021,a878)),x76025),x76022)),f337(f337(f42(x76024,f893(x76021,a878)),x76025),x76022))+~P24(f337(f337(f339(x76024),x76023),x76025))
% 198.12/198.41 [7603]E(f337(f337(f104(f893(x76031,a878)),f337(x76032,x76033)),f337(f337(f43(x76034,f893(x76031,a878)),x76035),x76032)),f337(f337(f43(x76034,f893(x76031,a878)),x76035),x76032))+~P24(f337(f337(f339(x76034),x76033),x76035))
% 198.12/198.41 [8201]~E(x82013,f197(f893(x82011,a878)))+E(f337(f337(f42(x82011,f893(x82012,a878)),x82013),f337(f337(f8(f893(x82012,a878),f893(x82012,a878),x82011),f337(f315(x82012),x82014)),x82015)),f197(f893(x82012,a878)))
% 198.12/198.41 [8206]~P24(f337(f337(f339(x82064),x82063),x82065))+P24(f337(f337(f251(f893(x82061,a878)),f337(x82062,x82063)),f337(f337(f42(x82064,f893(x82061,a878)),x82065),x82062)))
% 198.12/198.41 [8337]~E(f337(x83374,x83372),x83375)+P24(f337(f337(f339(x83371),x83372),f337(f317(x83371,x83373,x83374),f337(f337(f315(x83373),x83375),f197(f893(x83373,a878))))))
% 198.12/198.41 [8381]~P51(x83811,x83812,f337(f292(x83812,x83811),x83813))+E(f337(f337(f104(f893(x83811,a878)),f337(f291(x83812,x83811,x83813),x83814)),f337(f291(x83812,x83811,x83813),x83815)),f337(f291(x83812,x83811,x83813),f337(f337(f104(f893(x83812,a878)),x83814),x83815)))
% 198.12/198.41 [8455]E(x84551,f2(a102))+E(f337(f121(x84552,x84553,f337(x84554,f337(f337(f22(a102),x84551),f79(a102)))),f337(f337(f7(x84552,a102,f886(x84553)),x84555),x84551)),f337(f208(x84552,x84553,x84554,x84555),x84551))
% 198.12/198.41 [8494]E(x84941,f197(f893(x84942,a878)))+E(f337(f337(f42(x84942,f893(x84943,a878)),x84941),f337(f337(f8(f893(x84943,a878),f893(x84943,a878),x84942),f337(f315(x84943),x84944)),x84945)),f337(f337(f315(x84943),x84944),f337(f337(f42(x84942,f893(x84943,a878)),x84941),x84945)))
% 198.12/198.41 [8542]~P21(x85422,x85421,x85423,f260(f893(x85422,a878)))+E(f337(f337(f22(f893(x85421,a878)),f337(f316(x85422,x85421,x85423),x85424)),f337(f316(x85422,x85421,x85423),x85425)),f337(f316(x85422,x85421,x85423),f337(f337(f22(f893(x85422,a878)),x85424),x85425)))
% 198.12/198.41 [8543]~P21(x85432,x85431,x85433,f260(f893(x85432,a878)))+E(f337(f337(f104(f893(x85431,a878)),f337(f316(x85432,x85431,x85433),x85434)),f337(f316(x85432,x85431,x85433),x85435)),f337(f316(x85432,x85431,x85433),f337(f337(f104(f893(x85432,a878)),x85434),x85435)))
% 198.12/198.41 [8607]~P24(f337(f337(f68(x86071,x86072,x86075),x86073),x86074))+P24(f337(f337(f339(f892(x86071,x86072)),f337(f337(f272(x86071,x86072),x86073),x86074)),x86075))
% 198.12/198.41 [8639]P24(f337(f337(f339(x86391),x86392),f337(f268(x86393,x86391),x86394)))+~P24(f337(f337(f339(f892(x86393,x86391)),f337(f337(f272(x86393,x86391),x86395),x86392)),x86394))
% 198.12/198.41 [8641]P24(f337(f337(f339(x86411),x86412),f337(f270(x86411,x86413),x86414)))+~P24(f337(f337(f339(f892(x86411,x86413)),f337(f337(f272(x86411,x86413),x86412),x86415)),x86414))
% 198.12/198.41 [8774]P24(f337(f337(f68(x87741,x87742,x87743),x87744),x87745))+~P24(f337(f337(f339(f892(x87741,x87742)),f337(f337(f272(x87741,x87742),x87744),x87745)),x87743))
% 198.12/198.41 [8809]E(f337(x88091,x88092),x88093)+~P24(f337(f337(f339(x88094),x88092),f337(f317(x88094,x88095,x88091),f337(f337(f315(x88095),x88093),f197(f893(x88095,a878))))))
% 198.12/198.41 [9009]E(x90091,f2(a102))+E(f125(x90092,f124(x90093,f886(f887(x90092)),f337(f337(f7(x90093,a102,f886(f887(x90092))),x90094),x90091),f337(x90095,f337(f337(f22(a102),x90091),f79(a102))))),f337(f205(x90093,x90092,x90095,x90094),x90091))
% 198.12/198.41 [9034]P24(f337(f337(f339(f892(x90341,x90342)),f337(f337(f272(x90341,x90342),x90343),x90344)),f337(f292(x90342,x90341),x90345)))+~P24(f337(f337(f339(f892(x90342,x90341)),f337(f337(f272(x90342,x90341),x90344),x90343)),x90345))
% 198.12/198.41 [9052]~P24(f337(f337(x90521,x90525),x90524))+P24(f337(f337(x90521,f337(f275(x90522,x90523),f337(f337(f272(x90522,x90523),x90524),x90525))),f337(f271(x90522,x90523),f337(f337(f272(x90522,x90523),x90524),x90525))))
% 198.12/198.41 [9081]~P24(f337(f337(f339(f892(x90812,x90811)),f337(f337(f272(x90812,x90811),x90814),x90813)),f337(f292(x90811,x90812),x90815)))+P24(f337(f337(f339(f892(x90811,x90812)),f337(f337(f272(x90811,x90812),x90813),x90814)),x90815))
% 198.12/198.41 [9111]~P24(f337(f337(f339(f892(x91113,x91111)),f337(f337(f272(x91113,x91111),x91115),x91112)),x91114))+P24(f337(f337(f339(x91111),x91112),f337(f291(x91113,x91111,x91114),f337(f337(f315(x91113),x91115),f197(f893(x91113,a878))))))
% 198.12/198.41 [9159]P24(f337(f337(f339(f892(x91591,x91592)),f337(f337(f272(x91591,x91592),x91593),x91594)),x91595))+~P24(f337(f337(f339(x91592),x91594),f337(f291(x91591,x91592,x91595),f337(f337(f315(x91591),x91593),f197(f893(x91591,a878))))))
% 198.12/198.41 [9179]E(f337(f337(f337(f73(x91791,f887(x91792)),f191(x91791,x91792,x91793,x91794)),x91795),f210(x91792)),f191(x91791,x91792,x91793,f337(f337(f22(f893(x91791,a878)),x91794),f337(f337(f315(x91791),x91795),f197(f893(x91791,a878))))))+~P24(f337(f337(f339(x91791),x91795),x91794))
% 198.12/198.41 [9245]~P70(x92451)+E(f337(f337(f6(a884,x92451),x92452),f308(a884,f337(f337(f81(a884),x92453),x92454),f337(f337(f81(a884),x92455),x92454))),f337(f337(f6(a884,x92451),f337(f337(f8(a884,x92451,a884),x92452),f337(f337(f7(a884,a884,a884),f81(a884)),x92454))),f308(a884,x92453,x92455)))
% 198.12/198.41 [9263]~P70(x92631)+E(f337(f337(f6(a884,x92631),x92632),f337(f307(a884,f337(f337(f81(a884),x92633),x92634)),f337(f337(f81(a884),x92635),x92634))),f337(f337(f6(a884,x92631),f337(f337(f8(a884,x92631,a884),x92632),f337(f337(f7(a884,a884,a884),f81(a884)),x92634))),f337(f307(a884,x92633),x92635)))
% 198.12/198.41 [9316]~P21(x93161,x93162,x93163,f260(f893(x93161,a878)))+E(f337(f337(f156(x93161,x93162),x93163),f337(f138(x93161,f337(f337(f8(a878,a878,x93161),a332),f337(a334,x93164))),x93165)),f337(f138(x93162,f337(f337(f8(a878,a878,x93162),a332),f337(a334,f337(x93163,x93164)))),f337(f337(f156(x93161,x93162),x93163),x93165)))
% 198.12/198.41 [9332]~P21(x93321,x93322,x93323,f337(f337(f315(x93321),x93324),f337(f175(x93321),x93325)))+E(f337(f337(f156(x93321,x93322),x93323),f337(f138(x93321,f337(f337(f8(a878,a878,x93321),a332),f337(a334,x93324))),x93325)),f337(f138(x93322,f337(f337(f8(a878,a878,x93322),a332),f337(a334,f337(x93323,x93324)))),f337(f337(f156(x93321,x93322),x93323),x93325)))
% 198.12/198.41 [9490]P24(f337(f337(f339(f892(f885(x94901),f885(x94901))),f337(f337(f272(f885(x94901),f885(x94901)),f337(f337(f153(x94901),x94902),x94903)),f337(f337(f153(x94901),x94904),x94903))),f159(x94901,x94905)))+~P24(f337(f337(f339(f892(x94901,x94901)),f337(f337(f272(x94901,x94901),x94902),x94904)),x94905))
% 198.12/198.41 [9594]P20(x95941,x95942,f337(f337(f315(f882(x95941)),f337(f337(f337(f93(x95941),x95943),f337(a28,x95944)),x95945)),f197(f893(f882(x95941),a878))))+~P20(x95941,f337(f337(f315(f882(x95941)),f337(f337(f337(f93(x95941),x95943),f337(a28,x95944)),x95945)),x95942),f337(f337(f315(f882(x95941)),f337(f337(f337(f93(x95941),x95943),f337(f248(a880),f337(a26,x95944))),x95945)),f197(f893(f882(x95941),a878))))
% 198.12/198.41 [9606]E(f337(f337(f315(x96061),f778(x96062,x96063,x96064,x96065,x96061)),f790(x96062,x96063,x96064,x96065,x96061)),f337(f337(f315(x96061),x96064),x96063))+~P24(f337(f63(x96061,x96065,f337(f337(f315(x96061),x96064),x96063)),x96062))
% 198.12/198.41 [9607]E(f337(f337(f315(x96071),f797(x96072,x96073,x96074,x96075,x96071)),f807(x96072,x96073,x96074,x96075,x96071)),f337(f337(f315(x96071),x96074),x96073))+~P24(f337(f63(x96071,x96075,f337(f337(f315(x96071),x96074),x96073)),x96072))
% 198.12/198.41 [9689]P24(f337(f337(f339(x96891),f628(x96892,x96893,x96894,x96895,x96891)),x96894))+P24(f337(f337(f337(f43(x96891,f893(x96895,a878)),x96894),x96893),x96892))
% 198.12/198.41 [9694]P24(f337(f337(f339(x96941),f629(x96942,x96943,x96941,x96944,x96945)),x96943))+P24(f337(f337(f339(x96945),x96944),f337(f337(f43(x96941,f893(x96945,a878)),x96943),x96942)))
% 198.12/198.41 [9702]P24(f337(f337(f339(x97021),f623(x97022,x97023,x97021,x97024,x97025)),x97023))+P24(f337(f337(f251(f893(x97025,a878)),x97024),f337(f337(f43(x97021,f893(x97025,a878)),x97023),x97022)))
% 198.12/198.41 [9704]P24(f337(f337(x97041,f462(x97042,x97041,x97043,x97044,x97045)),x97042))+~P24(f337(f337(f337(f42(x97045,f893(x97044,a878)),x97043),x97041),x97042))
% 198.12/198.41 [9707]P24(f337(f337(f339(x97071),f462(x97072,x97073,x97074,x97075,x97071)),x97074))+~P24(f337(f337(f337(f42(x97071,f893(x97075,a878)),x97074),x97073),x97072))
% 198.12/198.41 [9708]P41(x97084,f337(f337(f43(x97081,f893(x97084,a878)),x97085),x97083),f337(f337(f43(x97081,f893(f892(x97084,x97084),a878)),x97085),x97082))+P24(f337(f337(f339(x97081),f808(x97082,x97083,x97084,x97085,x97081)),x97085))
% 198.12/198.41 [9718]P24(f337(f337(f339(x97181),f467(x97182,x97183,x97181,x97184,x97185)),x97183))+~P24(f337(f337(f339(x97185),x97184),f337(f337(f42(x97181,f893(x97185,a878)),x97183),x97182)))
% 198.12/198.41 [9723]P24(f337(f337(f339(x97231),x97232),f337(x97233,f467(x97233,x97234,x97235,x97232,x97231))))+~P24(f337(f337(f339(x97231),x97232),f337(f337(f42(x97235,f893(x97231,a878)),x97234),x97233)))
% 198.12/198.41 [9817]~P24(f337(f337(x98174,f628(x98175,x98174,x98173,x98172,x98171)),x98175))+P24(f337(f337(f337(f43(x98171,f893(x98172,a878)),x98173),x98174),x98175))
% 198.12/198.41 [9820]~P24(f337(f337(f339(x98201),x98202),f337(x98205,f629(x98205,x98204,x98203,x98202,x98201))))+P24(f337(f337(f339(x98201),x98202),f337(f337(f43(x98203,f893(x98201,a878)),x98204),x98205)))
% 198.12/198.41 [9824]~P41(x98241,f337(x98244,f808(x98245,x98244,x98241,x98243,x98242)),f337(x98245,f808(x98245,x98244,x98241,x98243,x98242)))+P41(x98241,f337(f337(f43(x98242,f893(x98241,a878)),x98243),x98244),f337(f337(f43(x98242,f893(f892(x98241,x98241),a878)),x98243),x98245))
% 198.12/198.41 [9825]~P24(f337(f337(f251(f893(x98251,a878)),x98252),f337(x98255,f623(x98255,x98254,x98253,x98252,x98251))))+P24(f337(f337(f251(f893(x98251,a878)),x98252),f337(f337(f43(x98253,f893(x98251,a878)),x98254),x98255)))
% 198.12/198.41 [9894]~P24(f337(f337(f339(x98941),f778(x98945,x98944,x98943,x98942,x98941)),f790(x98945,x98944,x98943,x98942,x98941)))+~P24(f337(f63(x98941,x98942,f337(f337(f315(x98941),x98943),x98944)),x98945))
% 198.12/198.41 [9895]~P24(f337(f337(f339(x98951),f797(x98955,x98954,x98953,x98952,x98951)),f807(x98955,x98954,x98953,x98952,x98951)))+~P24(f337(f63(x98951,x98952,f337(f337(f315(x98951),x98953),x98954)),x98955))
% 198.12/198.41 [9896]~P24(f337(f337(f339(f892(x98961,x98961)),f337(f337(f272(x98961,x98961),x98962),x98965)),f337(f337(f192(f892(x98961,x98961),a878),f337(a115,x98964)),x98963)))+P24(f337(f337(f339(f892(x98961,x98961)),f337(f337(f272(x98961,x98961),x98962),f619(x98963,x98964,x98965,x98962,x98961))),f337(f337(f192(f892(x98961,x98961),a878),x98964),x98963)))
% 198.12/198.41 [9903]P24(f337(f67(x99031,x99031,x99032,f778(x99033,x99034,x99035,x99032,x99031),f790(x99033,x99034,x99035,x99032,x99031)),x99033))+~P24(f337(f63(x99031,x99032,f337(f337(f315(x99031),x99035),x99034)),x99033))
% 198.12/198.41 [9904]P24(f337(f67(x99041,x99041,x99042,f797(x99043,x99044,x99045,x99042,x99041),f807(x99043,x99044,x99045,x99042,x99041)),x99043))+~P24(f337(f63(x99041,x99042,f337(f337(f315(x99041),x99045),x99044)),x99043))
% 198.12/198.41 [9916]~P105(x99161)+P30(x99161,f337(f337(f156(x99162,x99161),x99163),f337(f138(x99162,f337(f337(f7(x99162,x99161,a878),f337(f337(f8(x99161,f893(x99161,a878),x99162),a334),x99163)),f337(x99164,x99165))),x99165)))
% 198.12/198.41 [9956]~P24(f337(f337(f339(x99562),x99565),f337(f291(x99561,x99562,x99564),x99563)))+P24(f337(f337(f339(f892(x99561,x99562)),f337(f337(f272(x99561,x99562),f496(x99563,x99564,x99561,x99565,x99562)),x99565)),x99564))
% 198.12/198.41 [9957]~P24(f337(f337(f339(x99572),x99575),f337(f291(x99571,x99572,x99574),x99573)))+P24(f337(f337(f339(f892(x99571,x99572)),f337(f337(f272(x99571,x99572),f501(x99573,x99574,x99571,x99575,x99572)),x99575)),x99574))
% 198.12/198.41 [9977]~P24(f337(f337(f339(f892(x99771,x99771)),f337(f337(f272(x99771,x99771),x99775),x99774)),f337(f337(f192(f892(x99771,x99771),a878),f337(a115,x99773)),x99772)))+P24(f337(f337(f339(f892(x99771,x99771)),f337(f337(f272(x99771,x99771),f619(x99772,x99773,x99774,x99775,x99771)),x99774)),x99772))
% 198.12/198.41 [9980]~P24(f337(f337(f339(f892(x99801,x99801)),f337(f337(f272(x99801,x99801),x99805),x99804)),f337(f337(f192(f892(x99801,x99801),a878),f337(a115,x99803)),x99802)))+P24(f337(f337(f339(f892(x99801,x99801)),f337(f337(f272(x99801,x99801),f615(x99802,x99803,x99804,x99805,x99801)),x99804)),f337(f337(f192(f892(x99801,x99801),a878),x99803),x99802)))
% 198.12/198.41 [9981]~P24(f337(f337(f339(f892(x99811,x99811)),f337(f337(f272(x99811,x99811),x99815),x99814)),f337(f337(f192(f892(x99811,x99811),a878),f337(a115,x99813)),x99812)))+P24(f337(f337(f339(f892(x99811,x99811)),f337(f337(f272(x99811,x99811),f618(x99812,x99813,x99814,x99815,x99811)),x99814)),f337(f337(f192(f892(x99811,x99811),a878),x99813),x99812)))
% 198.12/198.41 [9982]~P24(f337(f337(f339(f892(f885(x99821),f885(x99821))),f337(f337(f272(f885(x99821),f885(x99821)),x99825),f337(f337(f153(x99821),x99824),x99823))),f160(x99821,x99822)))+P24(f337(f337(f339(f892(x99821,x99821)),f337(f337(f272(x99821,x99821),f676(x99822,x99823,x99824,x99825,x99821)),x99824)),x99822))
% 198.12/198.41 [7128]E(x71281,f210(x71282))+E(f187(x71283,x71282,f337(f337(f337(f73(x71283,f887(x71282)),x71284),x71285),x71281)),f337(f337(f315(x71283),x71285),f187(x71283,x71282,x71284)))
% 198.12/198.41 [7623]~E(x76233,f197(f893(x76232,a878)))+E(f337(f337(f113(f893(x76231,a878)),f337(f337(f42(x76232,f893(x76231,a878)),x76233),x76234)),x76235),x76235)
% 198.12/198.41 [7624]~E(x76243,f197(f893(x76242,a878)))+E(f337(f337(f104(f893(x76241,a878)),f337(f337(f43(x76242,f893(x76241,a878)),x76243),x76244)),x76245),x76245)
% 198.12/198.41 [7980]~E(x79805,f210(x79802))+E(f187(x79801,x79802,f337(f337(f337(f73(x79801,f887(x79802)),x79803),x79804),x79805)),f337(f337(f22(f893(x79801,a878)),f187(x79801,x79802,x79803)),f337(f337(f315(x79801),x79804),f197(f893(x79801,a878)))))
% 198.12/198.41 [8048]~E(x80483,f197(f893(x80482,a878)))+E(f337(f337(f22(f893(x80481,a878)),f337(f337(f43(x80482,f893(x80481,a878)),x80483),x80484)),x80485),f337(f337(f22(f893(x80481,a878)),f260(f893(x80481,a878))),x80485))
% 198.12/198.41 [8173]E(f337(f337(f161(x81731,f337(f337(f136(x81731),x81732),x81733)),x81734),x81735),f337(f337(f136(x81731),f337(f337(f161(x81731,x81732),x81734),x81735)),x81733))+~P24(f337(f337(f252(a884),x81734),f337(f198(f885(x81731)),x81732)))
% 198.12/198.41 [8288]P24(f337(f337(f339(x82881),x82885),f337(f175(x82881),x82883)))+E(f337(f337(f181(x82881,x82882),f337(f337(f185(x82881,x82882),x82883),f337(f337(f156(x82881,x82882),x82884),x82883))),x82885),f210(x82882))
% 198.12/198.41 [8408]~P24(f337(f337(f339(x84081),x84085),f337(f175(x84081),x84083)))+E(f337(f337(f181(x84081,x84082),f337(f337(f185(x84081,x84082),x84083),f337(f337(f156(x84081,x84082),x84084),x84083))),x84085),f337(f209(x84082),f337(x84084,x84085)))
% 198.12/198.41 [8445]E(f337(f337(f167(x84451),f337(f337(f156(a884,x84451),x84452),f141(a884,f337(f307(a884,x84453),x84454)))),x84455),f337(x84452,f337(f337(f81(a884),x84453),x84455)))+~P24(f337(f337(f252(a884),x84455),f337(f337(f22(a884),x84454),x84453)))
% 198.12/198.41 [8484]~E(x84843,f197(f893(x84841,a878)))+E(f337(f337(f42(x84841,f893(x84842,a878)),x84843),f337(f337(f8(f893(x84842,a878),f893(x84842,a878),x84841),f337(f113(f893(x84842,a878)),x84844)),x84845)),f197(f893(x84842,a878)))
% 198.12/198.41 [8485]~E(x84853,f197(f893(x84851,a878)))+E(f337(f337(f43(x84851,f893(x84852,a878)),x84853),f337(f337(f8(f893(x84852,a878),f893(x84852,a878),x84851),f337(f22(f893(x84852,a878)),x84854)),x84855)),f260(f893(x84852,a878)))
% 198.12/198.41 [8486]~E(x84863,f197(f893(x84861,a878)))+E(f337(f337(f43(x84861,f893(x84862,a878)),x84863),f337(f337(f8(f893(x84862,a878),f893(x84862,a878),x84861),f337(f104(f893(x84862,a878)),x84864)),x84865)),f260(f893(x84862,a878)))
% 198.12/198.41 [8488]~P135(x84882)+E(f337(f337(f6(x84881,x84882),f337(f337(f8(x84882,x84882,x84881),f337(f82(x84882),x84883)),x84884)),x84885),f337(f337(f82(x84882),x84883),f337(f337(f6(x84881,x84882),x84884),x84885)))
% 198.12/198.41 [8759]E(x87591,f197(f893(x87592,a878)))+E(f337(f337(f42(x87592,f893(x87593,a878)),x87591),f337(f337(f8(f893(x87593,a878),f893(x87593,a878),x87592),f337(f113(f893(x87593,a878)),x87594)),x87595)),f337(f337(f113(f893(x87593,a878)),x87594),f337(f337(f42(x87592,f893(x87593,a878)),x87591),x87595)))
% 198.12/198.41 [8760]E(x87601,f197(f893(x87602,a878)))+E(f337(f337(f43(x87602,f893(x87603,a878)),x87601),f337(f337(f8(f893(x87603,a878),f893(x87603,a878),x87602),f337(f22(f893(x87603,a878)),x87604)),x87605)),f337(f337(f22(f893(x87603,a878)),x87604),f337(f337(f42(x87602,f893(x87603,a878)),x87601),x87605)))
% 198.12/198.41 [8761]E(x87611,f197(f893(x87612,a878)))+E(f337(f337(f43(x87612,f893(x87613,a878)),x87611),f337(f337(f8(f893(x87613,a878),f893(x87613,a878),x87612),f337(f104(f893(x87613,a878)),x87614)),x87615)),f337(f337(f104(f893(x87613,a878)),x87614),f337(f337(f43(x87612,f893(x87613,a878)),x87611),x87615)))
% 198.12/198.41 [8956]~P24(f337(f337(f252(a884),f337(x89564,x89562)),f337(x89564,x89563)))+P24(f337(f337(f339(f892(x89561,x89561)),f337(f337(f272(x89561,x89561),x89562),x89563)),f155(x89561,f337(f337(f153(f893(x89561,a884)),x89564),x89565))))
% 198.12/198.41 [9212]~P21(x92122,x92121,x92123,f337(f337(f113(f893(x92122,a878)),x92124),x92125))+E(f337(f337(f104(f893(x92121,a878)),f337(f316(x92122,x92121,x92123),f337(f337(f22(f893(x92122,a878)),x92124),x92125))),f337(f316(x92122,x92121,x92123),f337(f337(f22(f893(x92122,a878)),x92125),x92124))),f197(f893(x92121,a878)))
% 198.12/198.41 [9486]~P24(f337(f337(f251(f893(x94863,a878)),f337(f291(x94861,x94863,x94864),x94862)),x94865))+P24(f337(f337(f251(f893(x94861,a878)),x94862),f337(f80(f893(x94861,a878)),f337(f291(x94863,x94861,f337(f292(x94861,x94863),x94864)),f337(f80(f893(x94863,a878)),x94865)))))
% 198.12/198.41 [9510]~P21(x95101,x95102,x95103,f337(f337(f315(x95101),x95104),x95105))+~P24(f337(f337(f339(x95102),f337(x95103,x95104)),f337(f316(x95101,x95102,x95103),f337(f337(f22(f893(x95101,a878)),x95105),f337(f337(f315(x95101),x95104),f197(f893(x95101,a878)))))))
% 198.12/198.41 [9560]P24(f337(f337(f251(f893(x95601,a878)),f337(f291(x95602,x95601,x95603),x95604)),x95605))+~P24(f337(f337(f251(f893(x95602,a878)),x95604),f337(f80(f893(x95602,a878)),f337(f291(x95601,x95602,f337(f292(x95602,x95601),x95603)),f337(f80(f893(x95601,a878)),x95605)))))
% 198.12/198.41 [9634]~P85(x96341)+P24(f337(f337(f251(x96341),f337(f76(x96341),f337(f337(f22(x96341),f337(f337(f81(x96341),x96342),x96343)),f337(f337(f81(x96341),x96344),x96345)))),f337(f337(f81(x96341),f337(f76(x96341),f337(f337(f22(x96341),x96342),x96344))),f337(f76(x96341),f337(f337(f22(x96341),x96343),x96345)))))
% 198.12/198.41 [9738]P24(f337(f337(f339(x97381),f470(x97382,x97383,x97384,x97381,x97385)),x97384))+P24(f337(f337(f251(f893(x97385,a878)),f337(f337(f42(x97381,f893(x97385,a878)),x97384),x97383)),x97382))
% 198.12/198.41 [9934]~P24(f337(f337(f251(f893(x99341,a878)),f337(x99344,f470(x99345,x99344,x99343,x99342,x99341))),x99345))+P24(f337(f337(f251(f893(x99341,a878)),f337(f337(f42(x99342,f893(x99341,a878)),x99343),x99344)),x99345))
% 198.12/198.41 [8588]E(f337(f337(f136(x85881),x85882),f337(f337(f161(x85881,x85883),f337(f337(f22(a884),x85884),f337(f198(f885(x85881)),x85882))),x85885)),f337(f337(f161(x85881,f337(f337(f136(x85881),x85882),x85883)),x85884),x85885))+P24(f337(f337(f252(a884),x85884),f337(f198(f885(x85881)),x85882)))
% 198.12/198.41 [8615]~P136(x86151)+E(f337(f337(f81(x86151),f337(f337(f82(x86151),x86152),x86153)),f337(f337(f81(x86151),f337(f337(f82(x86151),x86154),x86153)),x86155)),f337(f337(f81(x86151),f337(f337(f82(x86151),f337(f337(f81(x86151),x86152),x86154)),x86153)),x86155))
% 198.12/198.41 [9169]~P135(x91691)+E(f337(f168(x91691),f337(f337(f156(x91692,x91691),f337(f337(f8(x91691,x91691,x91692),f337(f82(x91691),x91693)),x91694)),x91695)),f337(f337(f82(x91691),x91693),f337(f168(x91691),f337(f337(f156(x91692,x91691),x91694),x91695))))
% 198.12/198.41 [9331]E(f337(f198(f885(x93311)),f337(f337(f178(x93311),f337(f337(f249(a884),f337(f198(f885(x93311)),x93312)),f337(f198(f885(x93313)),x93314))),x93312)),f337(f198(f885(x93313)),f337(f337(f178(x93313),f337(f337(f249(a884),f337(f198(f885(x93311)),x93312)),f337(f198(f885(x93313)),x93314))),x93314)))+P24(f337(x93315,f337(f337(f185(x93311,x93313),x93312),x93314)))
% 198.12/198.41 [9571]~P135(x95712)+E(f337(f337(f6(x95711,x95712),f337(f337(f7(x95711,x95712,x95712),f337(f337(f8(x95712,f893(x95712,x95712),x95711),f82(x95712)),x95713)),x95714)),x95715),f337(f337(f82(x95712),f337(f337(f6(x95711,x95712),x95713),x95715)),x95714))
% 198.12/198.41 [9572]~P59(x95722)+E(f337(f337(f6(x95721,x95722),f337(f337(f7(x95721,x95722,x95722),f337(f337(f8(x95722,f893(x95722,x95722),x95721),f295(x95722)),x95723)),x95724)),x95725),f337(f337(f295(x95722),f337(f337(f6(x95721,x95722),x95723),x95725)),x95724))
% 198.12/198.41 [9579]~P67(x95792)+E(f337(f337(f6(x95791,x95792),f337(f337(f18(x95791,x95792,x95792),f337(f337(f8(x95792,f893(x95792,x95792),x95791),f22(x95792)),x95793)),x95794)),x95795),f337(f337(f22(x95792),f337(f337(f6(x95791,x95792),x95793),x95795)),f337(f337(f6(x95791,x95792),x95794),x95795)))
% 198.12/198.41 [9580]~P70(x95802)+E(f337(f337(f6(x95801,x95802),f337(f337(f18(x95801,x95802,x95802),f337(f337(f8(x95802,f893(x95802,x95802),x95801),f81(x95802)),x95803)),x95804)),x95805),f337(f337(f81(x95802),f337(f337(f6(x95801,x95802),x95803),x95805)),f337(f337(f6(x95801,x95802),x95804),x95805)))
% 198.12/198.41 [9581]~P74(x95812)+E(f337(f337(f9(x95811,x95812),f337(f337(f18(x95811,x95812,x95812),f337(f337(f8(x95812,f893(x95812,x95812),x95811),f82(x95812)),x95813)),x95814)),x95815),f337(f337(f82(x95812),f337(f337(f9(x95811,x95812),x95813),x95815)),f337(f337(f9(x95811,x95812),x95814),x95815)))
% 198.12/198.41 [9619]~E(x96193,f197(f893(x96191,a878)))+E(f337(f337(f42(x96191,f893(x96192,a878)),x96193),f337(f337(f7(x96191,f893(x96192,a878),f893(x96192,a878)),f337(f337(f8(f893(x96192,a878),f893(f893(x96192,a878),f893(x96192,a878)),x96191),f113(f893(x96192,a878))),x96194)),x96195)),f197(f893(x96192,a878)))
% 198.12/198.41 [9620]~E(x96203,f197(f893(x96201,a878)))+E(f337(f337(f43(x96201,f893(x96202,a878)),x96203),f337(f337(f7(x96201,f893(x96202,a878),f893(x96202,a878)),f337(f337(f8(f893(x96202,a878),f893(f893(x96202,a878),f893(x96202,a878)),x96201),f22(f893(x96202,a878))),x96204)),x96205)),f260(f893(x96202,a878)))
% 198.12/198.41 [9621]~E(x96213,f197(f893(x96211,a878)))+E(f337(f337(f43(x96211,f893(x96212,a878)),x96213),f337(f337(f7(x96211,f893(x96212,a878),f893(x96212,a878)),f337(f337(f8(f893(x96212,a878),f893(f893(x96212,a878),f893(x96212,a878)),x96211),f104(f893(x96212,a878))),x96214)),x96215)),f260(f893(x96212,a878)))
% 198.12/198.41 [9642]E(x96421,f197(f893(x96422,a878)))+E(f337(f337(f42(x96422,f893(x96423,a878)),x96421),f337(f337(f7(x96422,f893(x96423,a878),f893(x96423,a878)),f337(f337(f8(f893(x96423,a878),f893(f893(x96423,a878),f893(x96423,a878)),x96422),f113(f893(x96423,a878))),x96424)),x96425)),f337(f337(f113(f893(x96423,a878)),f337(f337(f42(x96422,f893(x96423,a878)),x96421),x96424)),x96425))
% 198.12/198.41 [9643]E(x96431,f197(f893(x96432,a878)))+E(f337(f337(f43(x96432,f893(x96433,a878)),x96431),f337(f337(f7(x96432,f893(x96433,a878),f893(x96433,a878)),f337(f337(f8(f893(x96433,a878),f893(f893(x96433,a878),f893(x96433,a878)),x96432),f22(f893(x96433,a878))),x96434)),x96435)),f337(f337(f22(f893(x96433,a878)),f337(f337(f43(x96432,f893(x96433,a878)),x96431),x96434)),x96435))
% 198.12/198.41 [9644]E(x96441,f197(f893(x96442,a878)))+E(f337(f337(f43(x96442,f893(x96443,a878)),x96441),f337(f337(f7(x96442,f893(x96443,a878),f893(x96443,a878)),f337(f337(f8(f893(x96443,a878),f893(f893(x96443,a878),f893(x96443,a878)),x96442),f104(f893(x96443,a878))),x96444)),x96445)),f337(f337(f104(f893(x96443,a878)),f337(f337(f43(x96442,f893(x96443,a878)),x96441),x96444)),x96445))
% 198.12/198.41 [9219]~P24(f337(f337(f251(a884),x92191),x92194))+E(f337(f337(f22(a884),f337(f337(f81(a884),f337(f337(f82(a884),x92191),x92192)),x92193)),f337(f337(f81(a884),f337(f337(f82(a884),x92194),x92192)),x92195)),f337(f337(f22(a884),x92193),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x92194),x92191)),x92192)),x92195)))
% 198.12/198.41 [9798]~P135(x97981)+E(f337(f168(x97981),f337(f337(f156(x97982,x97981),f337(f337(f7(x97982,x97981,x97981),f337(f337(f8(x97981,f893(x97981,x97981),x97982),f82(x97981)),x97983)),x97984)),x97985)),f337(f337(f82(x97981),f337(f168(x97981),f337(f337(f156(x97982,x97981),x97983),x97985))),x97984))
% 198.12/198.41 [9804]~P67(x98041)+E(f337(f168(x98041),f337(f337(f156(x98042,x98041),f337(f337(f18(x98042,x98041,x98041),f337(f337(f8(x98041,f893(x98041,x98041),x98042),f22(x98041)),x98043)),x98044)),x98045)),f337(f337(f22(x98041),f337(f168(x98041),f337(f337(f156(x98042,x98041),x98043),x98045))),f337(f168(x98041),f337(f337(f156(x98042,x98041),x98044),x98045))))
% 198.12/198.41 [9805]~P70(x98051)+E(f337(f168(x98051),f337(f337(f156(x98052,x98051),f337(f337(f18(x98052,x98051,x98051),f337(f337(f8(x98051,f893(x98051,x98051),x98052),f81(x98051)),x98053)),x98054)),x98055)),f337(f337(f81(x98051),f337(f168(x98051),f337(f337(f156(x98052,x98051),x98053),x98055))),f337(f168(x98051),f337(f337(f156(x98052,x98051),x98054),x98055))))
% 198.12/198.41 [9947]P24(f337(x99471,f337(f337(f185(x99472,x99473),x99474),x99475)))+~P24(f337(x99471,f337(f337(f185(x99472,x99473),f337(f337(f178(x99472),f337(f337(f249(a884),f337(f198(f885(x99472)),x99474)),f337(f198(f885(x99473)),x99475))),x99474)),f337(f337(f178(x99473),f337(f337(f249(a884),f337(f198(f885(x99472)),x99474)),f337(f198(f885(x99473)),x99475))),x99475))))
% 198.12/198.41 [10183]~P24(f337(f337(f339(f892(x101832,x101831)),f337(f337(f272(x101832,x101831),x101834),x101835)),f337(f292(x101831,x101832),x101833)))+P24(f337(f337(f261(x101831,x101832,f337(f337(f7(x101831,f893(f892(x101831,x101832),a878),f893(x101832,a878)),f337(f337(f8(f893(x101832,f893(f893(f892(x101831,x101832),a878),a878)),f893(f893(f892(x101831,x101832),a878),f893(x101832,a878)),x101831),f7(x101832,f893(f892(x101831,x101832),a878),a878)),f337(f337(f8(f893(x101832,f892(x101831,x101832)),f893(x101832,f893(f893(f892(x101831,x101832),a878),a878)),x101831),f337(f8(f892(x101831,x101832),f893(f893(f892(x101831,x101832),a878),a878),x101832),f339(f892(x101831,x101832)))),f272(x101831,x101832)))),x101833)),x101834),x101835))
% 198.12/198.41 [10192]P24(f337(f337(f339(f892(x101921,x101922)),f337(f337(f272(x101921,x101922),x101923),x101924)),f337(f292(x101922,x101921),x101925)))+~P24(f337(f337(f261(x101922,x101921,f337(f337(f7(x101922,f893(f892(x101922,x101921),a878),f893(x101921,a878)),f337(f337(f8(f893(x101921,f893(f893(f892(x101922,x101921),a878),a878)),f893(f893(f892(x101922,x101921),a878),f893(x101921,a878)),x101922),f7(x101921,f893(f892(x101922,x101921),a878),a878)),f337(f337(f8(f893(x101921,f892(x101922,x101921)),f893(x101921,f893(f893(f892(x101922,x101921),a878),a878)),x101922),f337(f8(f892(x101922,x101921),f893(f893(f892(x101922,x101921),a878),a878),x101921),f339(f892(x101922,x101921)))),f272(x101922,x101921)))),x101925)),x101923),x101924))
% 198.12/198.41 [9453]~P24(f337(f337(f251(a884),x94534),x94531))+E(f337(f337(f22(a884),f337(f337(f81(a884),f337(f337(f82(a884),x94531),x94532)),x94533)),f337(f337(f81(a884),f337(f337(f82(a884),x94534),x94532)),x94535)),f337(f337(f22(a884),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x94531),x94534)),x94532)),x94533)),x94535))
% 198.12/198.41 [10201]P20(x102011,x102012,f337(f316(a881,f882(x102011),f337(f337(f18(a881,f893(x102011,f893(a879,a878)),f882(x102011)),f337(f337(f18(a881,a880,f893(f893(x102011,f893(a879,a878)),f882(x102011))),f337(f337(f8(f893(x102011,f893(a879,a878)),f893(a880,f893(f893(x102011,f893(a879,a878)),f882(x102011))),a881),f93(x102011)),x102013)),a28)),x102014)),x102015))+~P20(x102011,f337(f337(f113(f893(f882(x102011),a878)),x102012),f337(f316(a881,f882(x102011),f337(f337(f18(a881,f893(x102011,f893(a879,a878)),f882(x102011)),f337(f337(f18(a881,a880,f893(f893(x102011,f893(a879,a878)),f882(x102011))),f337(f337(f8(f893(x102011,f893(a879,a878)),f893(a880,f893(f893(x102011,f893(a879,a878)),f882(x102011))),a881),f93(x102011)),x102013)),a28)),x102014)),x102015)),f337(f316(a881,f882(x102011),f337(f337(f18(a881,f893(x102011,f893(a879,a878)),f882(x102011)),f337(f337(f18(a881,a880,f893(f893(x102011,f893(a879,a878)),f882(x102011))),f337(f337(f8(f893(x102011,f893(a879,a878)),f893(a880,f893(f893(x102011,f893(a879,a878)),f882(x102011))),a881),f93(x102011)),x102013)),f337(f337(f8(f887(a880),a880,a881),f248(a880)),a26))),x102014)),x102015))
% 198.12/198.41 [10202]P23(x102021,x102022,f337(f316(a881,f882(x102021),f337(f337(f18(a881,f893(x102021,f893(a879,a878)),f882(x102021)),f337(f337(f18(a881,a880,f893(f893(x102021,f893(a879,a878)),f882(x102021))),f337(f337(f8(f893(x102021,f893(a879,a878)),f893(a880,f893(f893(x102021,f893(a879,a878)),f882(x102021))),a881),f93(x102021)),x102023)),a28)),x102024)),x102025))+~P23(x102021,f337(f337(f113(f893(f882(x102021),a878)),x102022),f337(f316(a881,f882(x102021),f337(f337(f18(a881,f893(x102021,f893(a879,a878)),f882(x102021)),f337(f337(f18(a881,a880,f893(f893(x102021,f893(a879,a878)),f882(x102021))),f337(f337(f8(f893(x102021,f893(a879,a878)),f893(a880,f893(f893(x102021,f893(a879,a878)),f882(x102021))),a881),f93(x102021)),x102023)),a28)),x102024)),x102025)),f337(f316(a881,f882(x102021),f337(f337(f18(a881,f893(x102021,f893(a879,a878)),f882(x102021)),f337(f337(f18(a881,a880,f893(f893(x102021,f893(a879,a878)),f882(x102021))),f337(f337(f8(f893(x102021,f893(a879,a878)),f893(a880,f893(f893(x102021,f893(a879,a878)),f882(x102021))),a881),f93(x102021)),x102023)),f337(f337(f8(f887(a880),a880,a881),f248(a880)),a26))),x102024)),x102025))
% 198.12/198.41 [5315]E(x53151,x53152)+~E(f30(x53153,x53154,x53151),f30(x53155,x53156,x53152))
% 198.12/198.41 [5316]E(x53161,x53162)+~E(f30(x53163,x53161,x53164),f30(x53165,x53162,x53166))
% 198.12/198.41 [5317]E(x53171,x53172)+~E(f30(x53171,x53173,x53174),f30(x53172,x53175,x53176))
% 198.12/198.41 [5318]E(x53181,x53182)+~E(f29(x53183,x53184,x53181),f29(x53185,x53186,x53182))
% 198.12/198.41 [5319]E(x53191,x53192)+~E(f29(x53193,x53191,x53194),f29(x53195,x53192,x53196))
% 198.12/198.41 [5320]E(x53201,x53202)+~E(f29(x53201,x53203,x53204),f29(x53202,x53205,x53206))
% 198.12/198.41 [7309]E(x73091,x73092)+~E(f233(x73093,x73094,x73095,x73091),f233(x73093,x73094,x73096,x73092))
% 198.12/198.41 [7310]E(x73101,x73102)+~E(f233(x73103,x73104,x73101,x73105),f233(x73103,x73104,x73102,x73106))
% 198.12/198.41 [6770]E(f337(f188(x67701,x67702,x67703,x67704),x67705),f337(f209(x67702),x67706))+~E(f337(x67704,x67705),f337(f209(x67702),x67706))
% 198.12/198.41 [6914]E(f337(f246(f887(x69141),x69142,f210(x69141),x69143),f337(x69144,x69145)),f337(x69143,x69146))+~E(f337(x69144,x69145),f337(f209(x69142),x69146))
% 198.12/198.41 [8431]~P15(x84315,x84311,x84312,x84316)+E(f337(f74(x84311,x84311,x84311,f337(x84312,x84313)),f337(x84312,x84314)),f337(f74(x84311,x84311,x84311,f337(x84312,x84314)),f337(x84312,x84313)))
% 198.12/198.41 [8656]~P53(x86564,x86565,x86562,x86561,x86566)+E(f337(x86561,f337(x86562,x86563)),x86563)
% 198.12/198.41 [8807]P21(x88071,x88072,x88073,x88074)+~P21(x88071,x88075,f337(f74(x88072,x88075,x88071,x88076),x88073),x88074)
% 198.12/198.41 [8890]~P21(x88904,x88902,f337(f74(x88901,x88902,x88904,x88903),x88905),x88906)+P21(x88901,x88902,x88903,f337(f316(x88904,x88901,x88905),x88906))
% 198.12/198.41 [9582]P24(f337(f62(x95821),x95822))+~P24(f337(f67(x95821,x95823,x95824,x95825,x95822),x95826))
% 198.12/198.41 [9590]~P24(f337(f337(f339(x95904),x95903),f305(x95904,x95905,x95901,x95902,x95906)))+P24(f337(f337(x95901,x95902),x95903))
% 198.12/198.41 [9591]~P24(f337(f337(f339(x95914),x95913),f302(x95914,x95911,x95915,x95912,x95916)))+P24(f337(f337(x95911,x95912),x95913))
% 198.12/198.41 [9592]~P24(f337(f337(f339(x95924),x95922),f305(x95924,x95921,x95925,x95926,x95923)))+P24(f337(f337(x95921,x95922),x95923))
% 198.12/198.41 [9593]~P24(f337(f337(f339(x95934),x95932),f302(x95934,x95935,x95931,x95936,x95933)))+P24(f337(f337(x95931,x95932),x95933))
% 198.12/198.41 [5822]E(x58221,x58222)+~E(f337(f337(f272(x58223,x58224),x58225),x58221),f337(f337(f272(x58223,x58224),x58226),x58222))
% 198.12/198.41 [5824]E(x58241,x58242)+~E(f337(f337(f272(x58243,x58244),x58241),x58245),f337(f337(f272(x58243,x58244),x58242),x58246))
% 198.12/198.41 [5949]~P12(x59495,x59496,x59491)+E(f337(f337(x59491,x59492),f337(f337(x59491,x59493),x59494)),f337(f337(x59491,x59493),f337(f337(x59491,x59492),x59494)))
% 198.12/198.41 [7372]~P34(x73724,x73721,f337(f337(f153(x73724),x73722),x73725),f337(f337(f153(x73724),x73723),x73726))+P24(f337(f337(x73721,x73722),x73723))
% 198.12/198.41 [7738]P34(x77381,x77382,x77383,x77384)+~P34(x77381,x77382,f337(f337(f153(x77381),x77385),x77383),f337(f337(f153(x77381),x77386),x77384))
% 198.12/198.41 [8750]~P53(x87505,x87501,x87502,x87506,x87504)+P24(f337(f337(f339(x87501),f337(x87502,x87503)),x87504))
% 198.12/198.41 [8918]E(f337(f77(x89181,x89182,x89183,x89184,x89185),x89186),f337(x89183,x89186))+P24(f337(f337(f339(x89181),x89186),x89185))
% 198.12/198.41 [8940]~E(x89403,f337(f337(f153(x89401),x89405),x89406))+P24(f337(f337(f339(f892(f885(x89401),f885(x89401))),f337(f337(f272(f885(x89401),f885(x89401)),x89402),f337(f337(f136(x89401),x89402),x89403))),f149(x89401,x89404)))
% 198.12/198.41 [8946]E(f337(f77(x89461,x89462,x89463,x89464,x89465),x89466),f337(x89464,x89466))+~P24(f337(f337(f339(x89461),x89466),x89465))
% 198.12/198.41 [8951]E(f337(f190(x89511,x89512,x89513,x89514,x89515),x89516),f337(x89513,x89516))+P24(f337(f337(f339(x89511),x89516),f337(f175(x89511),x89514)))
% 198.12/198.41 [9173]~P36(x91731,x91732,x91733,x91735,x91736)+P36(x91731,x91732,x91733,f337(f337(f178(x91731),x91734),x91735),f337(f337(f178(x91732),x91734),x91736))
% 198.12/198.41 [9174]~P36(x91741,x91742,x91743,x91745,x91746)+P36(x91741,x91742,x91743,f337(f337(f140(x91741),x91744),x91745),f337(f337(f140(x91742),x91744),x91746))
% 198.12/198.41 [9654]~P19(x96544,x96542,x96545,x96543,x96546,x96541)+E(f337(x96541,f197(f893(x96542,a878))),x96543)
% 198.12/198.41 [9897]~E(f337(x98974,f337(f271(x98971,x98973),x98975)),f337(x98976,f337(f271(x98971,x98973),x98975)))+E(f337(f277(x98971,x98972,x98973,x98973,x98974,f34(x98973)),x98975),f337(f277(x98971,x98972,x98973,x98973,x98976,f34(x98973)),x98975))
% 198.12/198.41 [9898]~E(f337(x98984,f337(f275(x98981,x98982),x98985)),f337(x98986,f337(f275(x98981,x98982),x98985)))+E(f337(f277(x98981,x98981,x98982,x98983,f34(x98981),x98984),x98985),f337(f277(x98981,x98981,x98982,x98983,f34(x98981),x98986),x98985))
% 198.12/198.41 [9943]~E(f337(f277(x99432,x99436,x99433,x99433,x99431,f34(x99433)),x99434),f337(f277(x99432,x99436,x99433,x99433,x99435,f34(x99433)),x99434))+E(f337(x99431,f337(f271(x99432,x99433),x99434)),f337(x99435,f337(f271(x99432,x99433),x99434)))
% 198.12/198.41 [9944]~E(f337(f277(x99442,x99442,x99443,x99446,f34(x99442),x99441),x99444),f337(f277(x99442,x99442,x99443,x99446,f34(x99442),x99445),x99444))+E(f337(x99441,f337(f275(x99442,x99443),x99444)),f337(x99445,f337(f275(x99442,x99443),x99444)))
% 198.12/198.41 [8846]P24(f337(f337(f339(x88461),x88462),x88463))+~P24(f337(f337(f339(f892(x88461,x88464)),f337(f337(f272(x88461,x88464),x88462),x88465)),f337(f337(f274(x88461,x88464),x88463),x88466)))
% 198.12/198.41 [8860]P24(f337(f337(f339(x88601),x88602),f337(x88603,x88604)))+~P24(f337(f337(f339(f892(x88605,x88601)),f337(f337(f272(x88605,x88601),x88604),x88602)),f337(f337(f274(x88605,x88601),x88606),x88603)))
% 198.12/198.41 [8948]~E(f337(f198(f885(x89481)),x89484),f337(f198(f885(x89482)),x89485))+E(f190(x89481,x89482,x89483,x89484,f337(f337(f136(x89482),x89485),x89486)),f190(x89481,x89482,x89483,x89484,x89485))
% 198.12/198.41 [8949]~E(f337(f198(f885(x89491)),x89494),f337(f198(f885(x89492)),x89496))+E(f190(x89491,x89492,x89493,f337(f337(f136(x89491),x89494),x89495),x89496),f190(x89491,x89492,x89493,x89494,x89496))
% 198.12/198.41 [9191]P24(f337(f337(f339(x91911),x91914),f187(x91911,x91912,x91916)))+E(f188(x91911,x91912,f337(f337(f337(f73(x91911,f887(x91912)),x91913),x91914),f337(f209(x91912),x91915)),x91916),f337(f337(f337(f73(x91911,f887(x91912)),f188(x91911,x91912,x91913,x91916)),x91914),f337(f209(x91912),x91915)))
% 198.12/198.41 [9287]P24(f337(f337(f339(f892(x92871,x92871)),f337(f337(f272(x92871,x92871),f337(x92872,x92873)),f337(x92872,x92874))),x92875))+~P24(f337(f337(f339(f892(x92876,x92876)),f337(f337(f272(x92876,x92876),x92873),x92874)),f337(f337(f293(x92871,x92876),x92875),x92872)))
% 198.12/198.41 [9304]~P24(f337(f337(f339(f892(x93044,x93044)),f337(f337(f272(x93044,x93044),f337(x93046,x93042)),f337(x93046,x93043))),x93045))+P24(f337(f337(f339(f892(x93041,x93041)),f337(f337(f272(x93041,x93041),x93042),x93043)),f337(f337(f293(x93044,x93041),x93045),x93046)))
% 198.12/198.41 [9946]E(f337(f337(f272(x99461,x99462),f661(x99463,x99464,x99465,x99466,x99462,x99461)),f662(x99463,x99464,x99465,x99466,x99462,x99461)),x99466)+~P24(f337(f337(f339(f892(x99461,x99462)),x99466),f337(f337(f294(x99461,x99465,x99462),x99464),x99463)))
% 198.12/198.41 [10147]~P24(f337(f337(f339(f892(x101471,x101476)),x101475),f337(f337(f294(x101471,x101472,x101476),x101474),x101473)))+P24(f337(f337(f339(f892(x101471,x101472)),f337(f337(f272(x101471,x101472),f661(x101473,x101474,x101472,x101475,x101476,x101471)),f663(x101473,x101474,x101472,x101475,x101476,x101471))),x101474))
% 198.12/198.41 [10148]~P24(f337(f337(f339(f892(x101486,x101482)),x101485),f337(f337(f294(x101486,x101481,x101482),x101484),x101483)))+P24(f337(f337(f339(f892(x101481,x101482)),f337(f337(f272(x101481,x101482),f663(x101483,x101484,x101481,x101485,x101482,x101486)),f662(x101483,x101484,x101481,x101485,x101482,x101486))),x101483))
% 198.12/198.41 [6231]~E(x62316,x62314)+E(f337(f337(f337(f337(f73(x62311,x62312),x62313),x62314),x62315),x62316),x62315)
% 198.12/198.41 [6281]E(x62811,x62812)+E(f337(f337(f337(f337(f73(x62813,x62814),x62815),x62812),x62816),x62811),f337(x62815,x62811))
% 198.12/198.41 [7809]~P28(x78092)+E(f337(f337(f42(x78091,x78092),x78093),f337(f337(f7(x78091,x78094,x78092),x78095),x78096)),f337(f337(f337(f42(x78091,f893(x78094,x78092)),x78093),x78095),x78096))
% 198.12/198.41 [7810]~P28(x78102)+E(f337(f337(f43(x78101,x78102),x78103),f337(f337(f7(x78101,x78104,x78102),x78105),x78106)),f337(f337(f337(f43(x78101,f893(x78104,x78102)),x78103),x78105),x78106))
% 198.12/198.41 [8570]E(f337(f337(f42(x85701,f893(x85702,a878)),x85703),f337(f337(f8(f893(x85702,a878),f893(x85702,a878),x85701),f337(f315(x85702),x85704)),x85705)),f337(f337(f315(x85702),x85704),f337(f337(f42(x85701,f893(x85702,a878)),x85703),x85705)))+~P24(f337(f337(f339(x85701),x85706),x85703))
% 198.12/198.41 [8994]~P28(x89942)+E(f337(f337(f42(x89941,x89942),x89943),f337(f337(f8(f893(x89944,x89942),x89942,x89941),f337(f42(x89944,x89942),x89945)),f337(f7(x89944,x89941,x89942),x89946))),f337(f337(f42(x89944,x89942),x89945),f337(f337(f8(f893(x89941,x89942),x89942,x89944),f337(f42(x89941,x89942),x89943)),x89946)))
% 198.12/198.41 [8995]~P28(x89952)+E(f337(f337(f43(x89951,x89952),x89953),f337(f337(f8(f893(x89954,x89952),x89952,x89951),f337(f43(x89954,x89952),x89955)),f337(f7(x89954,x89951,x89952),x89956))),f337(f337(f43(x89954,x89952),x89955),f337(f337(f8(f893(x89951,x89952),x89952,x89954),f337(f43(x89951,x89952),x89953)),x89956)))
% 198.12/198.41 [9200]P24(f337(f337(f339(x92001),x92002),f337(f175(x92001),x92003)))+~P24(f337(f337(f339(f892(x92004,x92001)),f337(f337(f272(x92004,x92001),x92005),x92002)),f337(f175(f892(x92004,x92001)),f337(f337(f185(x92004,x92001),x92006),x92003))))
% 198.12/198.41 [9201]P24(f337(f337(f339(x92011),x92012),f337(f175(x92011),x92013)))+~P24(f337(f337(f339(f892(x92011,x92014)),f337(f337(f272(x92011,x92014),x92012),x92015)),f337(f175(f892(x92011,x92014)),f337(f337(f185(x92011,x92014),x92013),x92016))))
% 198.12/198.41 [9301]P24(f337(f337(f251(f893(x93011,a878)),f337(f291(x93012,x93011,x93013),x93014)),x93015))+~P24(f337(f337(f251(f893(f892(x93012,x93011),a878)),x93013),f337(f337(f274(x93012,x93011),x93016),f337(f16(f893(x93011,a878),x93012),x93015))))
% 198.12/198.41 [9489]P24(f337(f337(f339(f892(f885(x94891),f885(x94891))),f337(f337(f272(f885(x94891),f885(x94891)),f337(f337(f153(x94891),x94892),x94893)),f337(f337(f153(x94891),x94894),x94895))),f149(x94891,x94896)))+~P24(f337(f337(f339(f892(x94891,x94891)),f337(f337(f272(x94891,x94891),x94892),x94894)),x94896))
% 198.12/198.41 [9942]E(f337(f337(f272(x99421,x99422),f571(x99423,x99424,x99425,x99422,x99421,x99426)),f572(x99423,x99424,x99425,x99422,x99421,x99426)),x99426)+P24(f337(f337(f339(x99425),x99424),f337(f337(f276(x99421,x99422,f893(x99425,a878)),x99423),x99426)))
% 198.12/198.41 [9948]E(f337(f337(f272(x99481,x99482),f567(x99483,x99484,x99482,x99481,x99485,x99486)),f568(x99483,x99484,x99482,x99481,x99485,x99486)),x99483)+~P24(f337(f337(f339(x99486),x99485),f337(f337(f276(x99481,x99482,f893(x99486,a878)),x99484),x99483)))
% 198.12/198.41 [10105]P24(f337(f337(f339(x101051),x101052),f337(f337(x101053,f567(x101054,x101053,x101055,x101056,x101052,x101051)),f568(x101054,x101053,x101055,x101056,x101052,x101051))))+~P24(f337(f337(f339(x101051),x101052),f337(f337(f276(x101056,x101055,f893(x101051,a878)),x101053),x101054)))
% 198.12/198.41 [10123]~P24(f337(f337(f339(x101231),x101232),f337(f337(x101235,f571(x101235,x101232,x101231,x101234,x101233,x101236)),f572(x101235,x101232,x101231,x101234,x101233,x101236))))+P24(f337(f337(f339(x101231),x101232),f337(f337(f276(x101233,x101234,f893(x101231,a878)),x101235),x101236)))
% 198.12/198.41 [7927]P24(f337(f337(f339(x79271),x79274),x79276))+E(f191(x79271,x79272,f337(f337(f337(f73(x79271,f887(x79272)),x79273),x79274),x79275),x79276),f191(x79271,x79272,x79273,x79276))
% 198.12/198.41 [8003]P24(f337(f337(f339(x80031),x80034),x80036))+E(f337(f316(x80031,x80032,f337(f337(f337(f73(x80031,x80032),x80033),x80034),x80035)),x80036),f337(f316(x80031,x80032,x80033),x80036))
% 198.12/198.41 [8031]P24(f337(f337(f339(x80311),x80314),f337(f175(x80311),x80316)))+E(f337(f337(f156(x80311,x80312),f337(f337(f337(f73(x80311,x80312),x80313),x80314),x80315)),x80316),f337(f337(f156(x80311,x80312),x80313),x80316))
% 198.12/198.41 [8476]E(x84761,x84762)+E(f337(f337(f161(x84763,f337(f337(f161(x84763,x84764),x84761),x84765)),x84762),x84766),f337(f337(f161(x84763,f337(f337(f161(x84763,x84764),x84762),x84766)),x84761),x84765))
% 198.12/198.41 [9000]~P24(f337(f337(f339(x90003),x90006),x90005))+E(f337(f337(f315(x90001),x90002),f337(f316(x90003,x90001,x90004),f337(f337(f22(f893(x90003,a878)),x90005),f337(f337(f315(x90003),x90006),f197(f893(x90003,a878)))))),f337(f316(x90003,x90001,f337(f337(f337(f73(x90003,x90001),x90004),x90006),x90002)),x90005))
% 198.12/198.41 [9760]E(f190(x97601,x97602,x97603,f337(f337(f136(x97601),x97604),f337(f337(f153(x97601),x97605),f116(x97601))),x97606),f337(f337(f337(f73(x97601,f887(x97602)),f190(x97601,x97602,x97603,x97604,x97606)),x97605),f337(f209(x97602),f337(f337(f167(x97602),x97606),f337(f198(f885(x97601)),x97604)))))+~P24(f337(f337(f252(a884),f337(f198(f885(x97601)),x97604)),f337(f198(f885(x97602)),x97606)))
% 198.12/198.41 [8789]~E(x87893,x87896)+E(f337(f337(f181(x87891,x87892),f337(f337(f153(f892(x87891,x87892)),f337(f337(f272(x87891,x87892),x87893),x87894)),x87895)),x87896),f337(f209(x87892),x87894))
% 198.12/198.41 [8816]E(x88161,x88162)+E(f337(f337(f181(x88163,x88164),f337(f337(f153(f892(x88163,x88164)),f337(f337(f272(x88163,x88164),x88161),x88165)),x88166)),x88162),f337(f337(f181(x88163,x88164),x88166),x88162))
% 198.12/198.41 [9075]~P24(f337(f337(x90754,x90755),x90756))+P24(f337(f337(f337(f337(f113(f893(x90751,f893(x90752,a878))),x90753),x90754),x90755),x90756))
% 198.12/198.41 [9077]~P24(f337(f337(x90773,x90775),x90776))+P24(f337(f337(f337(f337(f113(f893(x90771,f893(x90772,a878))),x90773),x90774),x90775),x90776))
% 198.12/198.41 [9353]P24(f337(f337(x93531,x93532),x93533))+~P24(f337(f337(f337(f337(f104(f893(x93534,f893(x93535,a878))),x93536),x93531),x93532),x93533))
% 198.12/198.41 [9354]P24(f337(f337(x93541,x93542),x93543))+~P24(f337(f337(f337(f337(f104(f893(x93544,f893(x93545,a878))),x93541),x93546),x93542),x93543))
% 198.12/198.41 [9782]~P70(x97822)+E(f337(f337(f6(x97821,x97822),f337(f337(f7(x97821,f893(x97823,a878),x97822),f337(f337(f8(f893(x97823,x97822),f893(f893(x97823,a878),x97822),x97821),f6(x97823,x97822)),x97824)),x97825)),x97826),f337(f337(f6(f892(x97821,x97823),x97822),f337(f276(x97821,x97823,x97822),x97824)),f337(f337(f274(x97821,x97823),x97826),f337(f16(f893(x97823,a878),x97821),x97825))))
% 198.12/198.41 [9783]~P74(x97832)+E(f337(f337(f9(x97831,x97832),f337(f337(f7(x97831,f893(x97833,a878),x97832),f337(f337(f8(f893(x97833,x97832),f893(f893(x97833,a878),x97832),x97831),f9(x97833,x97832)),x97834)),x97835)),x97836),f337(f337(f9(f892(x97831,x97833),x97832),f337(f276(x97831,x97833,x97832),x97834)),f337(f337(f274(x97831,x97833),x97836),f337(f16(f893(x97833,a878),x97831),x97835))))
% 198.12/198.41 [9925]~P70(x99252)+E(f337(f337(f6(x99251,x99252),f337(f337(f7(x99251,f893(x99253,a878),x99252),f337(f337(f8(f893(x99253,x99252),f893(f893(x99253,a878),x99252),x99251),f6(x99253,x99252)),f337(f7(x99253,x99251,x99252),x99254))),x99255)),x99256),f337(f337(f6(x99253,x99252),f337(f337(f7(x99253,f893(x99251,a878),x99252),f337(f337(f8(f893(x99251,x99252),f893(f893(x99251,a878),x99252),x99253),f6(x99251,x99252)),x99254)),x99256)),x99255))
% 198.12/198.41 [9623]~P24(f337(f337(f339(x96231),x96235),x96234))+E(f337(f337(f337(f73(x96231,f887(x96232)),f191(x96231,x96232,x96233,f337(f337(f22(f893(x96231,a878)),x96234),f337(f337(f315(x96231),x96235),f197(f893(x96231,a878)))))),x96235),x96236),f191(x96231,x96232,f337(f337(f337(f73(x96231,f887(x96232)),x96233),x96235),x96236),x96234))
% 198.12/198.41 [10205]~P24(f337(f337(f339(f892(x102051,x102052)),f337(f337(f272(x102051,x102052),x102055),x102056)),f337(f337(f113(f893(f892(x102051,x102052),a878)),x102053),x102054)))+P24(f337(f337(f337(f337(f113(f893(x102051,f893(x102052,a878))),f337(f337(f7(x102051,f893(f892(x102051,x102052),a878),f893(x102052,a878)),f337(f337(f8(f893(x102052,f893(f893(f892(x102051,x102052),a878),a878)),f893(f893(f892(x102051,x102052),a878),f893(x102052,a878)),x102051),f7(x102052,f893(f892(x102051,x102052),a878),a878)),f337(f337(f8(f893(x102052,f892(x102051,x102052)),f893(x102052,f893(f893(f892(x102051,x102052),a878),a878)),x102051),f337(f8(f892(x102051,x102052),f893(f893(f892(x102051,x102052),a878),a878),x102052),f339(f892(x102051,x102052)))),f272(x102051,x102052)))),x102053)),f337(f337(f7(x102051,f893(f892(x102051,x102052),a878),f893(x102052,a878)),f337(f337(f8(f893(x102052,f893(f893(f892(x102051,x102052),a878),a878)),f893(f893(f892(x102051,x102052),a878),f893(x102052,a878)),x102051),f7(x102052,f893(f892(x102051,x102052),a878),a878)),f337(f337(f8(f893(x102052,f892(x102051,x102052)),f893(x102052,f893(f893(f892(x102051,x102052),a878),a878)),x102051),f337(f8(f892(x102051,x102052),f893(f893(f892(x102051,x102052),a878),a878),x102052),f339(f892(x102051,x102052)))),f272(x102051,x102052)))),x102054)),x102055),x102056))
% 198.12/198.41 [10206]~P24(f337(f337(f339(f892(x102061,x102062)),f337(f337(f272(x102061,x102062),x102065),x102066)),f337(f337(f104(f893(f892(x102061,x102062),a878)),x102063),x102064)))+P24(f337(f337(f337(f337(f104(f893(x102061,f893(x102062,a878))),f337(f337(f7(x102061,f893(f892(x102061,x102062),a878),f893(x102062,a878)),f337(f337(f8(f893(x102062,f893(f893(f892(x102061,x102062),a878),a878)),f893(f893(f892(x102061,x102062),a878),f893(x102062,a878)),x102061),f7(x102062,f893(f892(x102061,x102062),a878),a878)),f337(f337(f8(f893(x102062,f892(x102061,x102062)),f893(x102062,f893(f893(f892(x102061,x102062),a878),a878)),x102061),f337(f8(f892(x102061,x102062),f893(f893(f892(x102061,x102062),a878),a878),x102062),f339(f892(x102061,x102062)))),f272(x102061,x102062)))),x102063)),f337(f337(f7(x102061,f893(f892(x102061,x102062),a878),f893(x102062,a878)),f337(f337(f8(f893(x102062,f893(f893(f892(x102061,x102062),a878),a878)),f893(f893(f892(x102061,x102062),a878),f893(x102062,a878)),x102061),f7(x102062,f893(f892(x102061,x102062),a878),a878)),f337(f337(f8(f893(x102062,f892(x102061,x102062)),f893(x102062,f893(f893(f892(x102061,x102062),a878),a878)),x102061),f337(f8(f892(x102061,x102062),f893(f893(f892(x102061,x102062),a878),a878),x102062),f339(f892(x102061,x102062)))),f272(x102061,x102062)))),x102064)),x102065),x102066))
% 198.12/198.41 [10212]P24(f337(f337(f339(f892(x102121,x102122)),f337(f337(f272(x102121,x102122),x102123),x102124)),f337(f337(f113(f893(f892(x102121,x102122),a878)),x102125),x102126)))+~P24(f337(f337(f337(f337(f113(f893(x102121,f893(x102122,a878))),f337(f337(f7(x102121,f893(f892(x102121,x102122),a878),f893(x102122,a878)),f337(f337(f8(f893(x102122,f893(f893(f892(x102121,x102122),a878),a878)),f893(f893(f892(x102121,x102122),a878),f893(x102122,a878)),x102121),f7(x102122,f893(f892(x102121,x102122),a878),a878)),f337(f337(f8(f893(x102122,f892(x102121,x102122)),f893(x102122,f893(f893(f892(x102121,x102122),a878),a878)),x102121),f337(f8(f892(x102121,x102122),f893(f893(f892(x102121,x102122),a878),a878),x102122),f339(f892(x102121,x102122)))),f272(x102121,x102122)))),x102125)),f337(f337(f7(x102121,f893(f892(x102121,x102122),a878),f893(x102122,a878)),f337(f337(f8(f893(x102122,f893(f893(f892(x102121,x102122),a878),a878)),f893(f893(f892(x102121,x102122),a878),f893(x102122,a878)),x102121),f7(x102122,f893(f892(x102121,x102122),a878),a878)),f337(f337(f8(f893(x102122,f892(x102121,x102122)),f893(x102122,f893(f893(f892(x102121,x102122),a878),a878)),x102121),f337(f8(f892(x102121,x102122),f893(f893(f892(x102121,x102122),a878),a878),x102122),f339(f892(x102121,x102122)))),f272(x102121,x102122)))),x102126)),x102123),x102124))
% 198.12/198.41 [10213]P24(f337(f337(f339(f892(x102131,x102132)),f337(f337(f272(x102131,x102132),x102133),x102134)),f337(f337(f104(f893(f892(x102131,x102132),a878)),x102135),x102136)))+~P24(f337(f337(f337(f337(f104(f893(x102131,f893(x102132,a878))),f337(f337(f7(x102131,f893(f892(x102131,x102132),a878),f893(x102132,a878)),f337(f337(f8(f893(x102132,f893(f893(f892(x102131,x102132),a878),a878)),f893(f893(f892(x102131,x102132),a878),f893(x102132,a878)),x102131),f7(x102132,f893(f892(x102131,x102132),a878),a878)),f337(f337(f8(f893(x102132,f892(x102131,x102132)),f893(x102132,f893(f893(f892(x102131,x102132),a878),a878)),x102131),f337(f8(f892(x102131,x102132),f893(f893(f892(x102131,x102132),a878),a878),x102132),f339(f892(x102131,x102132)))),f272(x102131,x102132)))),x102135)),f337(f337(f7(x102131,f893(f892(x102131,x102132),a878),f893(x102132,a878)),f337(f337(f8(f893(x102132,f893(f893(f892(x102131,x102132),a878),a878)),f893(f893(f892(x102131,x102132),a878),f893(x102132,a878)),x102131),f7(x102132,f893(f892(x102131,x102132),a878),a878)),f337(f337(f8(f893(x102132,f892(x102131,x102132)),f893(x102132,f893(f893(f892(x102131,x102132),a878),a878)),x102131),f337(f8(f892(x102131,x102132),f893(f893(f892(x102131,x102132),a878),a878),x102132),f339(f892(x102131,x102132)))),f272(x102131,x102132)))),x102136)),x102133),x102134))
% 198.12/198.41 [10199]~P24(f337(f337(f339(f892(x101992,x101993)),f337(f337(f272(x101992,x101993),x101995),x101996)),f337(f337(f42(x101991,f893(f892(x101992,x101993),a878)),f260(f893(x101991,a878))),x101994)))+P24(f337(f337(f337(f337(f42(x101991,f893(x101992,f893(x101993,a878))),f260(f893(x101991,a878))),f337(f337(f8(f893(f892(x101992,x101993),a878),f893(x101992,f893(x101993,a878)),x101991),f337(f7(x101992,f893(f892(x101992,x101993),a878),f893(x101993,a878)),f337(f337(f8(f893(x101993,f893(f893(f892(x101992,x101993),a878),a878)),f893(f893(f892(x101992,x101993),a878),f893(x101993,a878)),x101992),f7(x101993,f893(f892(x101992,x101993),a878),a878)),f337(f337(f8(f893(x101993,f892(x101992,x101993)),f893(x101993,f893(f893(f892(x101992,x101993),a878),a878)),x101992),f337(f8(f892(x101992,x101993),f893(f893(f892(x101992,x101993),a878),a878),x101993),f339(f892(x101992,x101993)))),f272(x101992,x101993))))),x101994)),x101995),x101996))
% 198.12/198.41 [10200]~P24(f337(f337(f339(f892(x102002,x102003)),f337(f337(f272(x102002,x102003),x102005),x102006)),f337(f337(f43(x102001,f893(f892(x102002,x102003),a878)),f260(f893(x102001,a878))),x102004)))+P24(f337(f337(f337(f337(f43(x102001,f893(x102002,f893(x102003,a878))),f260(f893(x102001,a878))),f337(f337(f8(f893(f892(x102002,x102003),a878),f893(x102002,f893(x102003,a878)),x102001),f337(f7(x102002,f893(f892(x102002,x102003),a878),f893(x102003,a878)),f337(f337(f8(f893(x102003,f893(f893(f892(x102002,x102003),a878),a878)),f893(f893(f892(x102002,x102003),a878),f893(x102003,a878)),x102002),f7(x102003,f893(f892(x102002,x102003),a878),a878)),f337(f337(f8(f893(x102003,f892(x102002,x102003)),f893(x102003,f893(f893(f892(x102002,x102003),a878),a878)),x102002),f337(f8(f892(x102002,x102003),f893(f893(f892(x102002,x102003),a878),a878),x102003),f339(f892(x102002,x102003)))),f272(x102002,x102003))))),x102004)),x102005),x102006))
% 198.12/198.41 [10209]P24(f337(f337(f339(f892(x102091,x102092)),f337(f337(f272(x102091,x102092),x102093),x102094)),f337(f337(f42(x102095,f893(f892(x102091,x102092),a878)),f260(f893(x102095,a878))),x102096)))+~P24(f337(f337(f337(f337(f42(x102095,f893(x102091,f893(x102092,a878))),f260(f893(x102095,a878))),f337(f337(f8(f893(f892(x102091,x102092),a878),f893(x102091,f893(x102092,a878)),x102095),f337(f7(x102091,f893(f892(x102091,x102092),a878),f893(x102092,a878)),f337(f337(f8(f893(x102092,f893(f893(f892(x102091,x102092),a878),a878)),f893(f893(f892(x102091,x102092),a878),f893(x102092,a878)),x102091),f7(x102092,f893(f892(x102091,x102092),a878),a878)),f337(f337(f8(f893(x102092,f892(x102091,x102092)),f893(x102092,f893(f893(f892(x102091,x102092),a878),a878)),x102091),f337(f8(f892(x102091,x102092),f893(f893(f892(x102091,x102092),a878),a878),x102092),f339(f892(x102091,x102092)))),f272(x102091,x102092))))),x102096)),x102093),x102094))
% 198.12/198.41 [10210]P24(f337(f337(f339(f892(x102101,x102102)),f337(f337(f272(x102101,x102102),x102103),x102104)),f337(f337(f43(x102105,f893(f892(x102101,x102102),a878)),f260(f893(x102105,a878))),x102106)))+~P24(f337(f337(f337(f337(f43(x102105,f893(x102101,f893(x102102,a878))),f260(f893(x102105,a878))),f337(f337(f8(f893(f892(x102101,x102102),a878),f893(x102101,f893(x102102,a878)),x102105),f337(f7(x102101,f893(f892(x102101,x102102),a878),f893(x102102,a878)),f337(f337(f8(f893(x102102,f893(f893(f892(x102101,x102102),a878),a878)),f893(f893(f892(x102101,x102102),a878),f893(x102102,a878)),x102101),f7(x102102,f893(f892(x102101,x102102),a878),a878)),f337(f337(f8(f893(x102102,f892(x102101,x102102)),f893(x102102,f893(f893(f892(x102101,x102102),a878),a878)),x102101),f337(f8(f892(x102101,x102102),f893(f893(f892(x102101,x102102),a878),a878),x102102),f339(f892(x102101,x102102)))),f272(x102101,x102102))))),x102106)),x102103),x102104))
% 198.12/198.41 [7483]E(f337(x74831,f337(x74832,x74833)),f337(x74834,x74833))+~E(f337(f74(x74835,x74836,x74837,x74831),x74832),x74834)
% 198.12/198.41 [9653]~P18(x96533,x96534,x96531,x96535,x96536,x96537)+E(f337(f337(x96531,x96532),x96532),x96532)
% 198.12/198.41 [10022]~E(f337(f246(f887(x100227),x100221,f210(x100227),x100225),f337(x100224,x100223)),f337(f209(x100227),x100222))+E(f337(f209(x100221),f671(x100222,x100223,x100224,x100225,x100226,x100227,x100221)),f337(x100224,x100223))
% 198.12/198.41 [10023]~E(f337(f246(f887(x100236),x100237,f210(x100236),x100231),f337(x100234,x100233)),f337(f209(x100236),x100232))+E(f337(x100231,f671(x100232,x100233,x100234,x100231,x100235,x100236,x100237)),f337(f209(x100236),x100232))
% 198.12/198.41 [6051]~E(f337(f337(f156(x60511,x60515),x60516),x60512),f337(f337(f156(x60513,x60515),x60517),x60514))+E(f337(f198(f885(x60511)),x60512),f337(f198(f885(x60513)),x60514))
% 198.12/198.41 [7560]E(x75601,x75602)+~E(f337(f337(f337(f73(x75603,f887(x75604)),x75605),x75606),f337(f209(x75604),x75601)),f337(f337(f337(f73(x75603,f887(x75604)),x75607),x75606),f337(f209(x75604),x75602)))
% 198.12/198.41 [8508]E(f337(x85081,f337(x85082,x85083)),f337(x85084,x85083))+~E(f337(f74(x85085,x85086,x85087,x85081),x85082),f337(f74(x85086,x85086,x85087,f34(x85086)),x85084))
% 198.12/198.41 [8835]~P36(x88354,x88355,x88351,f337(f337(f153(x88354),x88352),x88356),f337(f337(f153(x88355),x88353),x88357))+P24(f337(f337(x88351,x88352),x88353))
% 198.12/198.41 [9207]P36(x92071,x92072,x92073,x92074,x92075)+~P36(x92071,x92072,x92073,f337(f337(f153(x92071),x92076),x92074),f337(f337(f153(x92072),x92077),x92075))
% 198.12/198.41 [9821]P24(f337(f337(x98211,x98212),f522(x98213,x98212,x98214,x98211)))+~P24(f337(f337(f273(x98215,x98216,x98217,x98211,x98214),x98212),x98213))
% 198.12/198.41 [9843]P24(f337(f337(x98431,f522(x98432,x98433,x98431,x98434)),x98432))+~P24(f337(f337(f273(x98435,x98436,x98437,x98434,x98431),x98433),x98432))
% 198.12/198.41 [6095]E(x60951,x60952)+~E(f337(f337(f337(f93(x60953),x60954),x60955),x60951),f337(f337(f337(f93(x60953),x60956),x60957),x60952))
% 198.12/198.41 [6096]E(x60961,x60962)+~E(f337(f337(f337(f93(x60963),x60964),x60961),x60965),f337(f337(f337(f93(x60963),x60966),x60962),x60967))
% 198.12/198.41 [6097]E(x60971,x60972)+~E(f337(f337(f337(f93(x60973),x60971),x60974),x60975),f337(f337(f337(f93(x60973),x60972),x60976),x60977))
% 198.12/198.41 [8954]~P16(x89546,x89541,x89543,x89547)+E(f337(f74(x89541,x89541,x89542,f337(x89543,x89544)),f337(f74(x89541,x89541,x89542,f337(x89543,x89544)),x89545)),f337(f74(x89541,x89541,x89542,f337(x89543,x89544)),x89545))
% 198.12/198.41 [9307]~P36(x93073,x93072,x93074,f337(f337(f156(x93071,x93073),x93075),x93076),x93077)+P36(x93071,x93072,f337(f337(f8(x93073,f893(x93072,a878),x93071),x93074),x93075),x93076,x93077)
% 198.12/198.41 [9328]P36(x93281,x93282,x93283,f337(f337(f156(x93284,x93281),x93285),x93286),x93287)+~P36(x93284,x93282,f337(f337(f8(x93281,f893(x93282,a878),x93284),x93283),x93285),x93286,x93287)
% 198.12/198.41 [9740]E(f190(x97401,x97402,f337(f337(f337(f73(x97401,f887(x97402)),x97403),x97404),f337(f209(x97402),x97405)),x97406,x97407),f337(f337(f337(f73(x97401,f887(x97402)),f190(x97401,x97402,x97403,x97406,x97407)),x97404),f337(f209(x97402),x97405)))+P24(f337(f337(f339(x97401),x97404),f337(f175(x97401),x97406)))
% 198.12/198.41 [8953]~P24(f337(f337(f339(x89531),x89532),f337(f337(x89535,x89536),x89537)))+P24(f337(f337(f339(x89531),x89532),f337(f337(f276(x89533,x89534,f893(x89531,a878)),x89535),f337(f337(f272(x89533,x89534),x89536),x89537))))
% 198.12/198.41 [9233]P24(f337(f337(f337(x92331,x92332),x92333),x92334))+~P24(f337(f337(f337(f276(x92335,x92336,f893(x92337,a878)),x92331),f337(f337(f272(x92335,x92336),x92332),x92333)),x92334))
% 198.12/198.41 [9369]P24(f337(f337(f339(x93691),f337(f337(x93692,x93693),x93694)),f337(f316(f892(x93695,x93696),x93691,f337(f276(x93695,x93696,x93691),x93692)),x93697)))+~P24(f337(f337(f339(f892(x93695,x93696)),f337(f337(f272(x93695,x93696),x93693),x93694)),x93697))
% 198.12/198.41 [9700]P24(f337(f337(f339(f892(f885(x97001),f885(x97001))),f337(f337(f272(f885(x97001),f885(x97001)),f337(f337(f136(x97001),x97002),f337(f337(f153(x97001),x97003),x97004))),f337(f337(f136(x97001),x97002),f337(f337(f153(x97001),x97005),x97006)))),f149(x97001,x97007)))+~P24(f337(f337(f339(f892(x97001,x97001)),f337(f337(f272(x97001,x97001),x97003),x97005)),x97007))
% 198.12/198.41 [9762]~P36(x97621,x97623,x97624,x97626,f337(f337(f156(x97622,x97623),x97625),x97627))+P36(x97621,x97622,f337(f337(f7(x97621,f893(x97622,x97623),f893(x97622,a878)),f337(f337(f8(f893(x97623,a878),f893(f893(x97622,x97623),f893(x97622,a878)),x97621),f8(x97623,a878,x97622)),x97624)),x97625),x97626,x97627)
% 198.12/198.41 [9847]P36(x98471,x98472,x98473,x98474,f337(f337(f156(x98475,x98472),x98476),x98477))+~P36(x98471,x98475,f337(f337(f7(x98471,f893(x98475,x98472),f893(x98475,a878)),f337(f337(f8(f893(x98472,a878),f893(f893(x98475,x98472),f893(x98475,a878)),x98471),f8(x98472,a878,x98475)),x98473)),x98476),x98474,x98477)
% 198.12/198.41 [9225]E(x92251,x92252)+E(f337(f337(f337(f73(x92253,x92254),f337(f337(f337(f73(x92253,x92254),x92255),x92251),x92256)),x92252),x92257),f337(f337(f337(f73(x92253,x92254),f337(f337(f337(f73(x92253,x92254),x92255),x92252),x92257)),x92251),x92256))
% 198.12/198.41 [9464]E(f190(x94641,x94642,f337(f337(f337(f73(x94641,f887(x94642)),x94643),x94644),f337(f209(x94642),x94645)),x94646,x94647),f190(x94641,x94642,x94643,x94646,x94647))+~P24(f337(f337(f339(x94641),x94644),f337(f175(x94641),f337(f337(f178(x94641),f337(f198(f885(x94642)),x94647)),x94646))))
% 198.12/198.41 [9773]E(f190(x97731,x97732,f337(f337(f337(f73(x97731,f887(x97732)),x97733),x97734),f337(f209(x97732),x97735)),x97736,x97737),f337(f337(f337(f73(x97731,f887(x97732)),f190(x97731,x97732,x97733,x97736,x97737)),x97734),f337(f209(x97732),x97735)))+P24(f337(f337(f339(x97731),x97734),f337(f175(x97731),f337(f337(f178(x97731),f337(f198(f885(x97732)),x97737)),x97736))))
% 198.12/198.41 [10134]P24(f337(f337(f339(x101341),f630(x101342,x101343,x101344,x101345,x101346,x101347,x101341)),x101345))+P24(f337(f337(f337(f337(f43(x101341,f893(x101347,f893(x101346,a878))),x101345),x101344),x101343),x101342))
% 198.12/198.41 [10135]P24(f337(f337(f339(x101351),f815(x101352,x101353,x101354,x101355,x101356,x101357,x101351)),x101357))+P24(f337(f337(f337(f337(f43(x101351,f893(x101353,f893(x101352,a878))),x101357),x101356),x101355),x101354))
% 198.12/198.41 [10136]P24(f337(f337(f339(x101361),f480(x101362,x101363,x101364,x101365,x101366,x101367,x101361)),x101365))+~P24(f337(f337(f337(f337(f42(x101361,f893(x101367,f893(x101366,a878))),x101365),x101364),x101363),x101362))
% 198.12/198.41 [10137]P24(f337(f337(f339(x101371),f816(x101372,x101373,x101374,x101375,x101376,x101377,x101371)),x101375))+~P24(f337(f337(f337(f337(f42(x101371,f893(x101377,f893(x101376,a878))),x101375),x101374),x101373),x101372))
% 198.12/198.41 [10162]P24(f337(f337(f337(x101621,f480(x101622,x101623,x101621,x101624,x101625,x101626,x101627)),x101623),x101622))+~P24(f337(f337(f337(f337(f42(x101627,f893(x101626,f893(x101625,a878))),x101624),x101621),x101623),x101622))
% 198.12/198.41 [10163]P24(f337(f337(f337(x101631,f816(x101632,x101633,x101631,x101634,x101635,x101636,x101637)),x101633),x101632))+~P24(f337(f337(f337(f337(f42(x101637,f893(x101636,f893(x101635,a878))),x101634),x101631),x101633),x101632))
% 198.12/198.41 [10180]~P24(f337(f337(f337(x101805,f630(x101807,x101806,x101805,x101804,x101803,x101802,x101801)),x101806),x101807))+P24(f337(f337(f337(f337(f43(x101801,f893(x101802,f893(x101803,a878))),x101804),x101805),x101806),x101807))
% 198.12/198.41 [10181]~P24(f337(f337(f337(x101815,f815(x101813,x101812,x101817,x101816,x101815,x101814,x101811)),x101816),x101817))+P24(f337(f337(f337(f337(f43(x101811,f893(x101812,f893(x101813,a878))),x101814),x101815),x101816),x101817))
% 198.12/198.41 [10198]~P24(f337(f337(f339(f892(x101981,x101983)),f337(f337(f272(x101981,x101983),x101986),x101987)),f337(f337(f294(x101981,x101982,x101983),x101984),x101985)))+P24(f337(f337(f273(x101981,x101982,x101983,f337(f337(f7(x101981,f893(f892(x101981,x101982),a878),f893(x101982,a878)),f337(f337(f8(f893(x101982,f893(f893(f892(x101981,x101982),a878),a878)),f893(f893(f892(x101981,x101982),a878),f893(x101982,a878)),x101981),f7(x101982,f893(f892(x101981,x101982),a878),a878)),f337(f337(f8(f893(x101982,f892(x101981,x101982)),f893(x101982,f893(f893(f892(x101981,x101982),a878),a878)),x101981),f337(f8(f892(x101981,x101982),f893(f893(f892(x101981,x101982),a878),a878),x101982),f339(f892(x101981,x101982)))),f272(x101981,x101982)))),x101984),f337(f337(f7(x101982,f893(f892(x101982,x101983),a878),f893(x101983,a878)),f337(f337(f8(f893(x101983,f893(f893(f892(x101982,x101983),a878),a878)),f893(f893(f892(x101982,x101983),a878),f893(x101983,a878)),x101982),f7(x101983,f893(f892(x101982,x101983),a878),a878)),f337(f337(f8(f893(x101983,f892(x101982,x101983)),f893(x101983,f893(f893(f892(x101982,x101983),a878),a878)),x101982),f337(f8(f892(x101982,x101983),f893(f893(f892(x101982,x101983),a878),a878),x101983),f339(f892(x101982,x101983)))),f272(x101982,x101983)))),x101985)),x101986),x101987))
% 198.12/198.41 [10208]P24(f337(f337(f339(f892(x102081,x102082)),f337(f337(f272(x102081,x102082),x102083),x102084)),f337(f337(f294(x102081,x102085,x102082),x102086),x102087)))+~P24(f337(f337(f273(x102081,x102085,x102082,f337(f337(f7(x102081,f893(f892(x102081,x102085),a878),f893(x102085,a878)),f337(f337(f8(f893(x102085,f893(f893(f892(x102081,x102085),a878),a878)),f893(f893(f892(x102081,x102085),a878),f893(x102085,a878)),x102081),f7(x102085,f893(f892(x102081,x102085),a878),a878)),f337(f337(f8(f893(x102085,f892(x102081,x102085)),f893(x102085,f893(f893(f892(x102081,x102085),a878),a878)),x102081),f337(f8(f892(x102081,x102085),f893(f893(f892(x102081,x102085),a878),a878),x102085),f339(f892(x102081,x102085)))),f272(x102081,x102085)))),x102086),f337(f337(f7(x102085,f893(f892(x102085,x102082),a878),f893(x102082,a878)),f337(f337(f8(f893(x102082,f893(f893(f892(x102085,x102082),a878),a878)),f893(f893(f892(x102085,x102082),a878),f893(x102082,a878)),x102085),f7(x102082,f893(f892(x102085,x102082),a878),a878)),f337(f337(f8(f893(x102082,f892(x102085,x102082)),f893(x102082,f893(f893(f892(x102085,x102082),a878),a878)),x102085),f337(f8(f892(x102085,x102082),f893(f893(f892(x102085,x102082),a878),a878),x102082),f339(f892(x102085,x102082)))),f272(x102085,x102082)))),x102087)),x102083),x102084))
% 198.12/198.41 [10146]~P135(x101462)+E(f337(f337(f6(x101461,x101462),f337(f337(f7(x101461,f893(x101463,a878),x101462),f337(f337(f8(f893(x101463,x101462),f893(f893(x101463,a878),x101462),x101461),f6(x101463,x101462)),f337(f337(f7(x101461,f893(x101463,x101462),f893(x101463,x101462)),f337(f337(f8(f893(x101462,x101462),f893(f893(x101463,x101462),f893(x101463,x101462)),x101461),f8(x101462,x101462,x101463)),f337(f337(f8(x101462,f893(x101462,x101462),x101461),f82(x101462)),x101464))),x101465))),x101466)),x101467),f337(f337(f82(x101462),f337(f337(f6(x101461,x101462),x101464),x101467)),f337(f337(f6(x101463,x101462),x101465),x101466)))
% 198.12/198.41 [9260]~P15(x92607,x92601,x92603,x92608)+E(f337(f74(x92601,x92601,x92602,f337(x92603,x92604)),f337(f74(x92601,x92601,x92602,f337(x92603,x92605)),x92606)),f337(f74(x92601,x92601,x92602,f337(x92603,x92605)),f337(f74(x92601,x92601,x92602,f337(x92603,x92604)),x92606)))
% 198.12/198.41 [10203]E(f337(f337(f272(x102031,x102032),f337(x102033,f545(x102034,x102035,x102033,x102036,x102037,x102038,x102032,x102031))),f337(x102035,f546(x102034,x102035,x102033,x102036,x102037,x102038,x102032,x102031))),x102038)+~P24(f337(f337(f339(f892(x102031,x102032)),x102038),f337(f316(f892(x102037,x102036),f892(x102031,x102032),f277(x102037,x102031,x102036,x102032,x102033,x102035)),x102034)))
% 198.12/198.41 [10217]~P24(f337(f337(f339(f892(x102178,x102177)),x102176),f337(f316(f892(x102171,x102172),f892(x102178,x102177),f277(x102171,x102178,x102172,x102177,x102175,x102174)),x102173)))+P24(f337(f337(f339(f892(x102171,x102172)),f337(f337(f272(x102171,x102172),f545(x102173,x102174,x102175,x102172,x102171,x102176,x102177,x102178)),f546(x102173,x102174,x102175,x102172,x102171,x102176,x102177,x102178))),x102173))
% 198.12/198.41 [9690]P24(f337(f337(f339(f892(f892(x96901,x96902),f892(x96901,x96902))),f337(f337(f272(f892(x96901,x96902),f892(x96901,x96902)),f337(f337(f272(x96901,x96902),x96903),x96904)),f337(f337(f272(x96901,x96902),x96905),x96906))),f330(x96901,x96902,x96907,x96908)))+~P24(f337(f337(f339(f892(x96901,x96901)),f337(f337(f272(x96901,x96901),x96903),x96905)),x96907))
% 198.12/198.41 [10191]E(f337(f144(x101911,x101912,f337(f7(x101912,x101911,x101911),x101913),f337(x101914,x101915)),x101916),f337(x101914,f337(f144(x101917,x101912,f337(f7(x101912,x101917,x101917),x101918),x101915),x101916)))+P24(f337(f337(f339(x101912),f764(x101915,x101918,x101914,x101913,x101917,x101911,x101916,x101912)),f337(f175(x101912),x101916)))
% 198.12/198.41 [10211]~E(f337(f74(x102111,x102111,x102117,f337(x102113,f764(x102115,x102118,x102114,x102113,x102117,x102111,x102116,x102112))),x102114),f337(f74(x102117,x102111,x102117,x102114),f337(x102118,f764(x102115,x102118,x102114,x102113,x102117,x102111,x102116,x102112))))+E(f337(f144(x102111,x102112,f337(f7(x102112,x102111,x102111),x102113),f337(x102114,x102115)),x102116),f337(x102114,f337(f144(x102117,x102112,f337(f7(x102112,x102117,x102117),x102118),x102115),x102116)))
% 198.12/198.41 [8514]E(f337(x85141,f337(x85142,x85143)),f337(x85144,f337(x85145,x85143)))+~E(f337(f74(x85146,x85147,x85148,x85141),x85142),f337(f74(x85149,x85147,x85148,x85144),x85145))
% 198.12/198.41 [10074]P24(f337(f337(f339(f892(x100741,x100742)),f337(f337(f272(x100741,x100742),f337(x100743,x100744)),f337(x100745,x100746))),f337(f316(f892(x100747,x100748),f892(x100741,x100742),f277(x100747,x100741,x100748,x100742,x100743,x100745)),x100749)))+~P24(f337(f337(f339(f892(x100747,x100748)),f337(f337(f272(x100747,x100748),x100744),x100746)),x100749))
% 198.12/198.41 [8783]~E(f337(x87834,f337(x87835,x87836)),f337(x87839,f337(x878310,x878311)))+E(f337(f337(f74(x87831,x87832,x87833,x87834),x87835),x87836),f337(f337(f74(x87837,x87832,x87838,x87839),x878310),x878311))
% 198.12/198.41 [4639]~P105(x46391)+~P101(x46391)+E(f104(x46391),f249(x46391))
% 198.12/198.41 [4640]~P105(x46401)+~P100(x46401)+E(f113(x46401),f250(x46401))
% 198.12/198.41 [4884]~P116(x48841)+~P93(x48841)+E(f337(f76(x48841),f337(f106(x48841),a100)),f79(x48841))
% 198.12/198.41 [5164]E(x51641,f2(a1))+E(f83(a1,x51641),f337(f80(a1),f79(a1)))+P24(f337(f337(f252(a1),f2(a1)),x51641))
% 198.12/198.41 [5381]E(x53811,f2(a1))+E(f83(a1,x53811),f79(a1))+~P24(f337(f337(f252(a1),f2(a1)),x53811))
% 198.12/198.41 [7376]~P40(x73761)+P24(f337(f62(a1),x73761))+~P24(f337(f62(a884),f337(f316(a1,a884,a107),x73761)))
% 198.12/198.41 [8612]~P2(a5000)+~P24(f337(f337(f339(f892(a881,a880)),x86121),f337(f175(f892(a881,a880)),a27)))+P24(f337(f337(f276(a881,a880,a878),f337(f16(f893(a880,a878),a881),a25)),x86121))
% 198.12/198.41 [9652]E(x96521,f197(f893(f892(a884,a884),a878)))+~P24(f337(f62(f892(a884,a884)),x96521))+P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),f197(f893(f892(a884,a884),a878))),x96521)),a37))
% 198.12/198.41 [9822]E(x98221,f2(a884))+E(x98221,f337(a115,f2(a884)))+~P24(f337(f337(f252(a884),x98221),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.41 [10102]E(x101021,f2(a102))+E(f337(f337(f81(a1),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(a20,f337(f337(f39(a102),x101021),f337(f106(a102),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))),f79(a1)),f337(a20,x101021))+E(f45(a102,x101021,f337(f106(a102),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f2(a102))
% 198.12/198.41 [9953]E(x99531,f2(a102))+~E(f45(a102,x99531,f337(f106(a102),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f2(a102))+E(f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(a20,f337(f337(f39(a102),x99531),f337(f106(a102),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f337(a20,x99531))
% 198.12/198.41 [4712]~P54(x47121,x47122)+P45(x47121,x47122)+~P46(a878)
% 198.12/198.41 [4649]~P142(x46491)+P32(x46491,x46492)+~E(x46492,f2(x46491))
% 198.12/198.41 [4650]~P105(x46501)+P30(x46501,x46502)+~E(x46502,f116(x46501))
% 198.12/198.41 [4659]~P116(x46591)+~E(x46592,f2(x46591))+E(f83(x46591,x46592),f2(x46591))
% 198.12/198.41 [4660]~P89(x46601)+~E(x46602,f2(x46601))+E(f83(x46601,x46602),f2(x46601))
% 198.12/198.41 [4668]~P142(x46682)+~P32(x46682,x46681)+E(x46681,f2(x46682))
% 198.12/198.41 [4702]~P116(x47022)+~E(f83(x47022,x47021),f2(x47022))+E(x47021,f2(x47022))
% 198.12/198.41 [4719]~P25(x47192)+~P25(x47191)+P25(f893(x47191,x47192))
% 198.12/198.41 [4720]~P25(x47202)+~P25(x47201)+P25(f891(x47201,x47202))
% 198.12/198.41 [4721]~P25(x47212)+~P25(x47211)+P25(f892(x47211,x47212))
% 198.12/198.41 [4722]~P29(x47222)+~P29(x47221)+P29(f203(x47221,x47222))
% 198.12/198.41 [4723]~P143(x47232)+~P143(x47231)+P143(f892(x47231,x47232))
% 198.12/198.41 [4724]~P57(x47242)+~P57(x47241)+P57(f893(x47241,x47242))
% 198.12/198.41 [4725]~P57(x47252)+~P57(x47251)+P57(f891(x47251,x47252))
% 198.12/198.41 [4726]~P57(x47262)+~P57(x47261)+P57(f892(x47261,x47262))
% 198.12/198.41 [4727]~P57(x47271)+~P95(x47272)+P95(f893(x47271,x47272))
% 198.12/198.41 [4728]~P103(x47282)+~P103(x47281)+P103(f892(x47281,x47282))
% 198.12/198.41 [4856]~P105(x48561)+~P30(x48561,x48562)+P30(x48561,f154(x48561,x48562))
% 198.12/198.41 [5095]~P29(x50952)+~P29(x50951)+P29(f45(a1,x50951,x50952))
% 198.12/198.41 [4670]~P76(x46701)+~E(x46702,f2(x46701))+E(f337(f80(x46701),x46702),x46702)
% 198.12/198.41 [4674]~P138(x46741)+~E(x46742,f2(a1))+E(f337(f105(x46741),x46742),f2(x46741))
% 198.12/198.41 [4675]~P92(x46751)+~E(x46752,f2(a1))+E(f337(f105(x46751),x46752),f2(x46751))
% 198.12/198.41 [4699]~P75(x46991)+~E(f2(x46991),x46992)+E(f337(f80(x46991),x46992),f2(x46991))
% 198.12/198.41 [4700]~P75(x47001)+~E(x47002,f2(x47001))+E(f337(f80(x47001),x47002),f2(x47001))
% 198.12/198.41 [4701]~P85(x47011)+~E(x47012,f2(x47011))+E(f337(f76(x47011),x47012),f2(x47011))
% 198.12/198.41 [4730]~P76(x47302)+E(x47301,f2(x47302))+~E(f337(f80(x47302),x47301),x47301)
% 198.12/198.41 [4736]E(x47361,f337(a107,x47362))+~E(x47361,f2(a884))+~E(x47362,f337(f103(a1),x47361))
% 198.12/198.41 [4737]E(f337(a107,x47371),x47372)+~E(x47372,f2(a884))+~E(x47371,f337(f103(a1),x47372))
% 198.12/198.41 [4741]~P92(x47412)+E(x47411,f2(a1))+~E(f337(f105(x47412),x47411),f2(x47412))
% 198.12/198.41 [4746]~P75(x47462)+E(x47461,f2(x47462))+~E(f337(f80(x47462),x47461),f2(x47462))
% 198.12/198.41 [4747]~P85(x47472)+E(x47471,f2(x47472))+~E(f337(f76(x47472),x47471),f2(x47472))
% 198.12/198.41 [4748]~P75(x47481)+E(f2(x47481),x47482)+~E(f337(f80(x47481),x47482),f2(x47481))
% 198.12/198.41 [4889]~P2(a5000)+~E(f337(a26,x48892),f337(f209(a880),x48891))+P24(f337(a25,x48891))
% 198.12/198.41 [4931]~P105(x49311)+~P30(x49311,x49312)+P30(x49311,f337(f174(x49311),x49312))
% 198.12/198.41 [4957]~P24(x49572)+~P24(x49571)+P24(f337(f337(a335,x49571),x49572))
% 198.12/198.41 [4991]~E(f79(a884),f2(a884))+E(f337(f38(x49911),x49912),f2(a884))+~P24(f337(f62(x49911),x49912))
% 198.12/198.41 [5024]~P135(x50241)+~P113(x50241)+E(f337(f337(f262(x50241),f2(x50241)),f337(a115,x50242)),f2(x50241))
% 198.12/198.41 [5062]~P105(x50621)+P30(x50621,f141(x50621,x50622))+~P24(f337(f62(x50621),x50622))
% 198.12/198.41 [5063]~P105(x50631)+P30(x50631,f753(x50632,x50631))+~P24(f337(f62(x50631),x50632))
% 198.12/198.41 [5085]~P105(x50851)+E(f337(f175(x50851),f141(x50851,x50852)),x50852)+~P24(f337(f62(x50851),x50852))
% 198.12/198.41 [5086]~P105(x50861)+E(f337(f175(x50861),f753(x50862,x50861)),x50862)+~P24(f337(f62(x50861),x50862))
% 198.12/198.41 [5116]P24(x51161)+P24(x51162)+~P24(f337(f337(a336,x51162),x51161))
% 198.12/198.41 [5128]E(x51281,f197(f893(x51282,a878)))+~E(f337(f38(x51282),x51281),f2(a884))+~P24(f337(f62(x51282),x51281))
% 198.12/198.41 [5133]P24(x51331)+~P24(x51332)+~P24(f337(f337(a340,x51332),x51331))
% 198.12/198.41 [5182]~P73(x51821)+E(f337(f76(x51821),x51822),x51822)+P24(f337(f337(f252(x51821),x51822),f2(x51821)))
% 198.12/198.41 [5252]~P57(x52522)+~P24(f337(f58(x52522),x52521))+P24(f337(x52521,f722(x52521,x52522)))
% 198.12/198.41 [5253]~P57(x52532)+~P24(f337(f58(x52532),x52531))+P24(f337(x52531,f743(x52531,x52532)))
% 198.12/198.41 [5282]~P24(f337(a25,x52822))+~P24(f337(a25,x52821))+P24(f337(a25,f33(x52821,x52822)))
% 198.12/198.41 [5291]E(x52911,f116(x52912))+P24(f337(f139(x52912),f117(x52912,x52911)))+~P24(f337(f139(x52912),x52911))
% 198.12/198.41 [5296]~P105(x52961)+~P24(f337(f62(x52961),x52962))+P24(f337(f139(x52961),f141(x52961,x52962)))
% 198.12/198.41 [5297]~P105(x52971)+~P24(f337(f62(x52971),x52972))+P24(f337(f139(x52971),f753(x52972,x52971)))
% 198.12/198.41 [5303]~P138(x53031)+E(f337(f103(x53031),f337(a107,x53032)),f337(f105(x53031),x53032))+P24(f337(f337(f252(a1),x53032),f2(a1)))
% 198.12/198.41 [5331]P5(x53312,x53311)+E(f337(x53311,f499(x53311)),f337(x53311,f502(x53311)))+P24(f337(f337(x53311,f499(x53311)),f502(x53311)))
% 198.12/198.41 [5346]E(f337(f103(a1),f416(x53461,x53462)),x53461)+P24(f337(x53462,f337(a107,x53461)))+~P24(f337(x53462,f2(a884)))
% 198.12/198.41 [5358]~P57(x53581)+~P24(f337(x53582,f744(x53582,x53581)))+P24(f337(f59(x53581),x53582))
% 198.12/198.41 [5359]~P57(x53591)+~P24(f337(x53592,f745(x53592,x53591)))+P24(f337(f59(x53591),x53592))
% 198.12/198.41 [5374]~P57(x53742)+~P37(x53742,x53741,f56(x53742))+P24(f337(x53741,f768(x53741,x53742)))
% 198.12/198.41 [5390]~P116(x53901)+~E(f83(x53901,x53902),f337(f80(x53901),f79(x53901)))+P24(f337(f337(f252(x53901),x53902),f2(x53901)))
% 198.12/198.41 [5466]~E(x54662,f2(a1))+E(f228(x54661,x54662),f337(f337(f272(a1,a1),f2(a1)),f79(a1)))+P24(f337(f337(f252(a1),x54662),f2(a1)))
% 198.12/198.41 [5467]~E(x54671,f2(a1))+E(f228(x54671,x54672),f337(f337(f272(a1,a1),f2(a1)),f79(a1)))+P24(f337(f337(f252(a1),x54672),f2(a1)))
% 198.12/198.41 [5519]E(f337(f103(a1),f416(x55191,x55192)),x55191)+P24(f337(x55192,f337(a107,x55191)))+P24(f337(f337(f252(a1),x55191),f2(a1)))
% 198.12/198.41 [5582]~P116(x55821)+E(f83(x55821,x55822),f337(f80(x55821),f79(x55821)))+~P24(f337(f337(f252(x55821),x55822),f2(x55821)))
% 198.12/198.41 [5583]~P85(x55831)+E(f337(f76(x55831),x55832),f337(f80(x55831),x55832))+~P24(f337(f337(f251(x55831),x55832),f2(x55831)))
% 198.12/198.41 [5584]~P85(x55841)+E(f337(f76(x55841),x55842),f337(f80(x55841),x55842))+~P24(f337(f337(f252(x55841),x55842),f2(x55841)))
% 198.12/198.41 [5585]~P73(x55851)+E(f337(f76(x55851),x55852),f337(f80(x55851),x55852))+~P24(f337(f337(f252(x55851),x55852),f2(x55851)))
% 198.12/198.41 [5682]~P24(f337(x56821,f416(x56822,x56821)))+P24(f337(x56821,f337(a107,x56822)))+~P24(f337(x56821,f2(a884)))
% 198.12/198.41 [5689]E(x56891,f2(a884))+E(f337(a115,f829(x56892,x56891)),x56891)+~P24(f337(f337(f252(a884),x56891),f337(a115,x56892)))
% 198.12/198.41 [5693]P5(x56931,x56932)+~E(f337(x56932,f499(x56932)),f337(x56932,f502(x56932)))+~P24(f337(f337(x56932,f499(x56932)),f502(x56932)))
% 198.12/198.41 [5713]~P105(x57131)+P30(x57131,x57132)+P24(f337(f337(f251(a884),f724(x57132,x57131)),f725(x57132,x57131)))
% 198.12/198.41 [5714]~P105(x57141)+P30(x57141,x57142)+P24(f337(f337(f251(a884),f730(x57142,x57141)),f740(x57142,x57141)))
% 198.12/198.41 [5802]~P85(x58021)+~E(x58022,f2(x58021))+P24(f337(f337(f251(x58021),f337(f76(x58021),x58022)),f2(x58021)))
% 198.12/198.41 [5882]~P57(x58822)+~P57(x58821)+E(f60(x58821,x58822,f56(x58821),f56(x58822)),f56(f892(x58821,x58822)))
% 198.12/198.41 [5886]~P24(f337(x58861,f416(x58862,x58861)))+P24(f337(x58861,f337(a107,x58862)))+P24(f337(f337(f252(a1),x58862),f2(a1)))
% 198.12/198.41 [5909]~P24(f337(x59091,f337(a107,x59092)))+P24(f337(x59091,f2(a884)))+~P24(f337(f337(f252(a1),x59092),f2(a1)))
% 198.12/198.41 [6253]~P116(x62531)+~P24(f337(f337(f252(x62531),x62532),f2(x62531)))+P24(f337(f337(f252(x62531),f83(x62531,x62532)),f2(x62531)))
% 198.12/198.41 [6366]~P116(x63661)+P24(f337(f337(f251(x63661),f337(f105(x63661),x63662)),f2(x63661)))+~P24(f337(f337(f251(a1),x63662),f2(a1)))
% 198.12/198.41 [6367]~P116(x63671)+P24(f337(f337(f252(x63671),f337(f105(x63671),x63672)),f2(x63671)))+~P24(f337(f337(f252(a1),x63672),f2(a1)))
% 198.12/198.41 [6374]~P85(x63742)+E(x63741,f2(x63742))+~P24(f337(f337(f251(x63742),f337(f76(x63742),x63741)),f2(x63742)))
% 198.12/198.41 [6450]~P138(x64501)+~P24(f337(f337(f339(x64501),x64502),f112(x64501)))+P24(f337(f337(f339(x64501),f337(f80(x64501),x64502)),f112(x64501)))
% 198.12/198.41 [6482]~P116(x64821)+~P24(f337(f337(f252(x64821),f83(x64821,x64822)),f2(x64821)))+P24(f337(f337(f252(x64821),x64822),f2(x64821)))
% 198.12/198.41 [6655]~P116(x66552)+~P24(f337(f337(f251(x66552),f337(f105(x66552),x66551)),f2(x66552)))+P24(f337(f337(f251(a1),x66551),f2(a1)))
% 198.12/198.41 [6656]~P116(x66562)+~P24(f337(f337(f252(x66562),f337(f105(x66562),x66561)),f2(x66562)))+P24(f337(f337(f252(a1),x66561),f2(a1)))
% 198.12/198.41 [7158]~P76(x71581)+~P24(f337(f337(f251(x71581),x71582),f2(x71581)))+P24(f337(f337(f251(x71581),f337(f337(f81(x71581),x71582),x71582)),f2(x71581)))
% 198.12/198.41 [7160]~P116(x71601)+~P24(f337(f337(f252(x71601),x71602),f2(x71601)))+P24(f337(f337(f252(x71601),f337(f337(f81(x71601),x71602),x71602)),f2(x71601)))
% 198.12/198.41 [7161]~P76(x71611)+~P24(f337(f337(f252(x71611),x71612),f2(x71611)))+P24(f337(f337(f252(x71611),f337(f337(f81(x71611),x71612),x71612)),f2(x71611)))
% 198.12/198.41 [7732]~P76(x77321)+~P24(f337(f337(f251(x77321),f337(f337(f81(x77321),x77322),x77322)),f2(x77321)))+P24(f337(f337(f251(x77321),x77322),f2(x77321)))
% 198.12/198.41 [7733]~P116(x77331)+~P24(f337(f337(f252(x77331),f337(f337(f81(x77331),x77332),x77332)),f2(x77331)))+P24(f337(f337(f252(x77331),x77332),f2(x77331)))
% 198.12/198.41 [7734]~P76(x77341)+~P24(f337(f337(f252(x77341),f337(f337(f81(x77341),x77342),x77342)),f2(x77341)))+P24(f337(f337(f252(x77341),x77342),f2(x77341)))
% 198.12/198.41 [4786]~E(x47862,f79(a884))+~E(x47861,f79(a884))+E(f337(f337(f82(a884),x47861),x47862),f79(a884))
% 198.12/198.41 [4787]~E(x47872,f79(a1))+~E(x47871,f79(a1))+E(f337(f337(f82(a1),x47871),x47872),f79(a1))
% 198.12/198.41 [4788]~E(x47882,f2(a884))+~E(x47881,f2(a884))+E(f337(f337(f81(a884),x47881),x47882),f2(a884))
% 198.12/198.41 [4842]~P26(x48422)+E(x48421,f2(x48422))+E(f337(f337(f39(x48422),x48421),x48421),f79(x48422))
% 198.12/198.41 [4843]~P118(x48432)+E(x48431,f2(x48432))+E(f337(f337(f295(x48432),x48431),x48431),f79(x48432))
% 198.12/198.41 [4844]~P119(x48442)+E(x48441,f2(x48442))+E(f337(f337(f295(x48442),x48441),x48441),f79(x48442))
% 198.12/198.41 [4862]~P137(x48621)+~E(x48622,f79(x48621))+E(f337(f337(f82(x48621),x48622),x48622),f79(x48621))
% 198.12/198.41 [4863]~P76(x48631)+~E(x48632,f2(x48631))+E(f337(f337(f81(x48631),x48632),x48632),f2(x48631))
% 198.12/198.41 [4864]~P119(x48641)+~E(x48642,f2(x48641))+E(f337(f337(f295(x48641),x48642),x48642),f2(x48641))
% 198.12/198.41 [4910]~E(x49102,f2(a884))+~E(x49101,f2(a884))+E(f337(f80(a1),f337(f103(a1),x49101)),f337(f103(a1),x49102))
% 198.12/198.41 [4928]E(x49281,f79(a884))+E(x49282,f2(a884))+~E(f337(f337(f82(a884),x49282),x49281),x49282)
% 198.12/198.41 [4938]E(x49381,f2(a884))+E(x49382,f2(a884))+~E(f337(f337(f82(a884),x49382),x49381),f2(a884))
% 198.12/198.41 [4966]~E(x49662,f2(a884))+~E(x49661,f337(a115,f2(a884)))+E(f337(f337(f81(a884),x49661),x49662),f337(a115,f2(a884)))
% 198.12/198.41 [4967]~E(x49671,f2(a884))+~E(x49672,f337(a115,f2(a884)))+E(f337(f337(f81(a884),x49671),x49672),f337(a115,f2(a884)))
% 198.12/198.41 [4974]E(x49741,f79(a1))+E(x49742,f337(f106(a1),a100))+~E(f337(f337(f82(a1),x49741),x49742),f79(a1))
% 198.12/198.41 [4975]E(x49751,f79(a1))+E(x49752,f337(f106(a1),a100))+~E(f337(f337(f82(a1),x49752),x49751),f79(a1))
% 198.12/198.41 [4976]E(x49761,f79(a1))+E(x49761,f337(f106(a1),a100))+~E(f337(f337(f82(a1),x49762),x49761),f79(a1))
% 198.12/198.41 [4978]E(x49781,f79(a1))+E(x49781,f337(f106(a1),a100))+~E(f337(f337(f82(a1),x49781),x49782),f79(a1))
% 198.12/198.41 [4995]~P76(x49952)+E(x49951,f2(x49952))+~E(f337(f337(f81(x49952),x49951),x49951),f2(x49952))
% 198.12/198.41 [5001]~E(x50011,f337(f106(a1),a100))+~E(x50012,f337(f106(a1),a100))+E(f337(f337(f82(a1),x50011),x50012),f79(a1))
% 198.12/198.41 [5013]E(x50131,f2(a884))+E(x50132,f2(a884))+~E(f337(f337(f81(a884),x50132),x50131),f337(a115,f2(a884)))
% 198.12/198.41 [5023]~P58(x50231)+~P93(x50231)+E(f337(f337(f295(x50231),x50232),f337(f106(x50231),a84)),f2(x50231))
% 198.12/198.41 [5029]~P137(x50291)+~E(x50292,f337(f80(x50291),f79(x50291)))+E(f337(f337(f82(x50291),x50292),x50292),f79(x50291))
% 198.12/198.41 [5034]~P29(x50342)+~P29(x50341)+P29(f337(f337(f82(a1),x50341),x50342))
% 198.12/198.41 [5035]~P29(x50352)+~P29(x50351)+P29(f337(f337(f81(a1),x50351),x50352))
% 198.12/198.41 [5036]~P29(x50362)+~P29(x50361)+P29(f337(f337(f39(a1),x50361),x50362))
% 198.12/198.41 [5038]~E(x50382,f2(a1))+E(x50381,f2(a1))+E(f46(x50381,x50382),f337(f337(f272(a1,a1),f2(a1)),x50381))
% 198.12/198.41 [5060]~E(x50602,f337(a115,f2(a884)))+~E(x50601,f337(a115,f2(a884)))+E(f337(f337(f82(a884),x50601),x50602),f337(a115,f2(a884)))
% 198.12/198.41 [5075]E(x50751,f2(a884))+E(x50752,f337(a115,f2(a884)))+~E(f337(f337(f262(a884),x50752),x50751),f337(a115,f2(a884)))
% 198.12/198.41 [5076]E(x50761,f2(a884))+E(x50761,f337(a115,f2(a884)))+~E(f337(f337(f81(a884),x50762),x50761),f337(a115,f2(a884)))
% 198.12/198.41 [5077]E(x50771,f2(a884))+E(x50771,f337(a115,f2(a884)))+~E(f337(f337(f81(a884),x50771),x50772),f337(a115,f2(a884)))
% 198.12/198.41 [5087]~P58(x50871)+~P93(x50871)+E(f337(f337(f295(x50871),x50872),f337(f106(x50871),a100)),f337(f80(x50871),x50872))
% 198.12/198.41 [5108]E(x51081,f337(a107,x51082))+~E(x51081,f2(a884))+P24(f337(f337(f251(a1),f2(a1)),x51082))
% 198.12/198.41 [5109]E(f337(a107,x51091),x51092)+~E(x51092,f2(a884))+P24(f337(f337(f251(a1),f2(a1)),x51091))
% 198.12/198.41 [5124]E(x51241,f337(a115,f2(a884)))+E(x51242,f337(a115,f2(a884)))+~E(f337(f337(f81(a884),x51241),x51242),f337(a115,f2(a884)))
% 198.12/198.41 [5135]~E(x51351,f337(a107,x51352))+E(x51351,f2(a884))+P24(f337(f337(f251(a1),f2(a1)),x51352))
% 198.12/198.41 [5136]~E(f337(a107,x51362),x51361)+E(x51361,f2(a884))+P24(f337(f337(f251(a1),f2(a1)),x51362))
% 198.12/198.41 [5158]~P64(x51581)+E(f337(f64(x51581,f113(x51581)),x51582),f13(x51581,x51582))+~P24(f337(f62(x51581),x51582))
% 198.12/198.41 [5159]~P64(x51591)+E(f337(f64(x51591,f104(x51591)),x51592),f10(x51591,x51592))+~P24(f337(f62(x51591),x51592))
% 198.12/198.41 [5160]~P105(x51601)+E(f337(f64(x51601,f250(x51601)),x51602),f14(x51601,x51602))+~P24(f337(f62(x51601),x51602))
% 198.12/198.41 [5161]~P105(x51611)+E(f337(f64(x51611,f249(x51611)),x51612),f15(x51611,x51612))+~P24(f337(f62(x51611),x51612))
% 198.12/198.41 [5163]~P57(x51631)+~P24(f337(x51632,f210(x51631)))+P24(f337(f58(f887(x51631)),x51632))
% 198.12/198.41 [5245]~P57(x52452)+P24(f337(x52451,f210(x52452)))+~P24(f337(f59(f887(x52452)),x52451))
% 198.12/198.41 [5246]E(x52461,x52462)+~E(f337(f337(f22(a884),x52462),x52461),f2(a884))+~E(f337(f337(f22(a884),x52461),x52462),f2(a884))
% 198.12/198.41 [5261]P29(x52611)+~P40(x52612)+~P24(f337(f337(f339(a1),x52611),x52612))
% 198.12/198.41 [5292]~P116(x52921)+~E(f83(x52921,x52922),f79(x52921))+P24(f337(f337(f252(x52921),f2(x52921)),x52922))
% 198.12/198.41 [5304]~P93(x53041)+E(f337(f103(x53041),f337(f106(a884),x53042)),f337(f106(x53041),x53042))+P24(f337(a202,f337(f106(a1),x53042)))
% 198.12/198.41 [5310]~P45(x53101,x53102)+P46(a878)+P24(f337(f62(f892(x53101,x53101)),x53102))
% 198.12/198.41 [5383]~P105(x53831)+E(f337(f64(x53831,f250(x53831)),x53832),f11(x53831,f250(x53831),x53832))+~P24(f337(f62(x53831),x53832))
% 198.12/198.41 [5384]~P105(x53841)+E(f337(f64(x53841,f249(x53841)),x53842),f12(x53841,f249(x53841),x53842))+~P24(f337(f62(x53841),x53842))
% 198.12/198.41 [5397]E(x53971,x53972)+P24(f337(f337(f252(a884),x53972),x53971))+P24(f337(f337(f252(a884),x53971),x53972))
% 198.12/198.41 [5398]E(x53981,x53982)+P24(f337(f337(f252(a1),x53982),x53981))+P24(f337(f337(f252(a1),x53981),x53982))
% 198.12/198.41 [5453]~P93(x54531)+E(f337(f103(x54531),f337(f106(a884),x54532)),f2(x54531))+~P24(f337(a202,f337(f106(a1),x54532)))
% 198.12/198.41 [5456]~E(x54562,f337(a107,x54561))+E(x54561,f337(f103(a1),x54562))+~P24(f337(f337(f251(a1),f2(a1)),x54561))
% 198.12/198.41 [5457]~E(f337(a107,x54571),x54572)+E(x54571,f337(f103(a1),x54572))+~P24(f337(f337(f251(a1),f2(a1)),x54571))
% 198.12/198.41 [5458]~E(x54581,f337(a107,x54582))+E(f337(f103(a1),x54581),x54582)+~P24(f337(f337(f251(a1),f2(a1)),x54582))
% 198.12/198.41 [5468]E(x54681,f337(a107,x54682))+~E(x54682,f337(f103(a1),x54681))+~P24(f337(f337(f251(a1),f2(a1)),x54682))
% 198.12/198.41 [5469]E(f337(a107,x54691),x54692)+~E(x54691,f337(f103(a1),x54692))+~P24(f337(f337(f251(a1),f2(a1)),x54691))
% 198.12/198.41 [5508]~P85(x55082)+E(x55081,f2(x55082))+P24(f337(f337(f252(x55082),f2(x55082)),f337(f76(x55082),x55081)))
% 198.12/198.41 [5575]~P116(x55751)+E(f83(x55751,x55752),f79(x55751))+~P24(f337(f337(f252(x55751),f2(x55751)),x55752))
% 198.12/198.41 [5579]~P93(x55791)+E(f337(f103(x55791),f337(f106(a884),x55792)),f2(x55791))+P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x55792)))
% 198.12/198.41 [5586]~P85(x55861)+E(f337(f76(x55861),x55862),x55862)+~P24(f337(f337(f251(x55861),f2(x55861)),x55862))
% 198.12/198.41 [5587]~P85(x55871)+E(f337(f76(x55871),x55872),x55872)+~P24(f337(f337(f252(x55871),f2(x55871)),x55872))
% 198.12/198.41 [5596]E(x55961,f2(a884))+~E(f141(a884,f337(f307(a884,x55962),x55961)),f116(a884))+P24(f337(f337(f251(a884),x55961),x55962))
% 198.12/198.41 [5606]~P70(x56061)+E(f337(f337(f6(x56061,x56061),f5(x56061)),f337(f175(x56061),x56062)),f337(f168(x56061),x56062))+~P24(f337(f139(x56061),x56062))
% 198.12/198.41 [5609]~P138(x56091)+E(f337(f103(x56091),f337(a107,x56092)),f337(f105(x56091),x56092))+~P24(f337(f337(f251(a1),f2(a1)),x56092))
% 198.12/198.41 [5636]E(x56361,x56362)+P24(f337(f337(f252(a884),x56361),x56362))+~P24(f337(f337(f251(a884),x56361),x56362))
% 198.12/198.41 [5637]E(x56371,x56372)+P24(f337(f337(f252(a1),x56371),x56372))+~P24(f337(f337(f251(a1),x56371),x56372))
% 198.12/198.41 [5640]E(x56401,f79(a1))+~E(f337(f337(f82(a1),x56402),x56401),f79(a1))+~P24(f337(f337(f252(a1),f2(a1)),x56402))
% 198.12/198.41 [5641]E(x56411,f79(a1))+~E(f337(f337(f82(a1),x56411),x56412),f79(a1))+~P24(f337(f337(f252(a1),f2(a1)),x56411))
% 198.12/198.41 [5679]~P40(x56792)+P24(f337(f337(f251(a1),f2(a1)),x56791))+~P24(f337(f337(f339(a1),x56791),x56792))
% 198.12/198.41 [5698]~P54(x56981,x56982)+P39(x56981,x56982)+~P24(f337(f62(f892(x56981,x56981)),x56982))
% 198.12/198.41 [5700]~P54(x57001,x57002)+P45(x57001,x57002)+~P24(f337(f62(f892(x57001,x57001)),x57002))
% 198.12/198.41 [5744]E(x57441,f197(f893(x57442,a878)))+~P24(f337(f62(x57442),x57441))+P24(f337(f337(f252(a884),f2(a884)),f337(f38(x57442),x57441)))
% 198.12/198.41 [5771]~P24(f337(x57711,x57712))+P24(f337(x57711,f2(a884)))+P24(f337(f337(f252(a884),f864(x57712,x57711)),x57712))
% 198.12/198.41 [5796]E(x57961,f2(a884))+~E(f337(f168(a884),x57962),f2(a884))+~P24(f337(f337(f339(a884),x57961),f337(f175(a884),x57962)))
% 198.12/198.41 [5862]E(x58621,x58622)+~P24(f337(f337(f251(a884),x58622),x58621))+~P24(f337(f337(f251(a884),x58621),x58622))
% 198.12/198.41 [5863]E(x58631,x58632)+~P24(f337(f337(f251(a1),x58632),x58631))+~P24(f337(f337(f251(a1),x58631),x58632))
% 198.12/198.41 [5865]E(f337(f38(x58651),x58652),f2(a884))+~P24(f337(f62(x58651),x58652))+P24(f337(f337(f339(x58651),f454(x58652,x58651)),x58652))
% 198.12/198.41 [5874]E(f50(x58741,x58742),f46(x58741,x58742))+P24(f337(f337(f251(a1),f2(a1)),x58741))+~P24(f337(f337(f252(a1),f2(a1)),x58742))
% 198.12/198.41 [5898]~P24(f337(x58981,f414(x58981)))+P24(f337(x58981,f337(a107,x58982)))+~P24(f337(f337(f251(a1),f2(a1)),x58982))
% 198.12/198.41 [5900]P24(f337(f337(f251(a884),x59001),f360(x59002)))+~P24(f337(f62(a884),x59002))+~P24(f337(f337(f339(a884),x59001),x59002))
% 198.12/198.41 [5901]P24(f337(f337(f252(a884),x59011),f353(x59012)))+~P24(f337(f62(a884),x59012))+~P24(f337(f337(f339(a884),x59011),x59012))
% 198.12/198.41 [5930]E(x59301,x59302)+~P24(f337(f337(f252(a884),x59301),f337(a115,x59302)))+P24(f337(f337(f252(a884),x59301),x59302))
% 198.12/198.41 [5964]E(x59641,f337(a115,x59642))+~P24(f337(f337(f251(a884),x59641),f337(a115,x59642)))+P24(f337(f337(f251(a884),x59641),x59642))
% 198.12/198.41 [5978]P24(f337(x59781,f415(x59781)))+~P24(f337(x59781,f337(a107,x59782)))+~P24(f337(f337(f251(a1),f2(a1)),x59782))
% 198.12/198.41 [5992]~P24(f337(x59921,x59922))+~P24(f337(f337(f251(a1),f2(a1)),x59922))+P24(f337(x59921,f337(f103(a1),f363(x59921))))
% 198.12/198.41 [6006]~P85(x60062)+~E(x60061,f2(x60062))+~P24(f337(f337(f252(x60062),f2(x60062)),f337(f76(x60062),x60061)))
% 198.12/198.41 [6030]~P54(x60301,x60302)+P39(x60301,f337(f292(x60301,x60301),x60302))+~P24(f337(f62(f892(x60301,x60301)),x60302))
% 198.12/198.41 [6038]~P93(x60381)+E(f337(f103(x60381),f337(f106(a884),x60382)),f337(f106(x60381),x60382))+~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x60382)))
% 198.12/198.41 [6041]E(f337(a115,x60411),x60412)+~P24(f337(f337(f252(a884),x60411),x60412))+P24(f337(f337(f252(a884),f337(a115,x60411)),x60412))
% 198.12/198.41 [6057]E(f337(f337(f39(a1),x60571),x60572),f2(a1))+~P24(f337(f337(f251(a1),x60571),f2(a1)))+~P24(f337(f337(f252(a1),x60572),x60571))
% 198.12/198.41 [6068]E(f45(a1,x60681,x60682),x60681)+~P24(f337(f337(f251(a1),x60681),f2(a1)))+~P24(f337(f337(f252(a1),x60682),x60681))
% 198.12/198.41 [6081]E(f47(x60811,x60812),f46(x60811,x60812))+~P24(f337(f337(f251(a1),f2(a1)),x60811))+~P24(f337(f337(f251(a1),f2(a1)),x60812))
% 198.12/198.41 [6089]E(f337(f337(f39(a1),x60891),x60892),f2(a1))+~P24(f337(f337(f251(a1),f2(a1)),x60891))+~P24(f337(f337(f252(a1),x60891),x60892))
% 198.12/198.41 [6101]E(f45(a884,f337(f106(a884),x61011),f337(f106(a884),x61012)),f337(f106(a884),x61011))+P24(f337(a202,f337(f106(a1),x61011)))+~P24(f337(a202,f337(f106(a1),x61012)))
% 198.12/198.41 [6103]E(f45(a1,x61031,x61032),x61031)+~P24(f337(f337(f251(a1),f2(a1)),x61031))+~P24(f337(f337(f252(a1),x61031),x61032))
% 198.12/198.41 [6104]E(x61041,x61042)+~P24(f337(f337(f252(a884),x61041),f337(a115,x61042)))+~P24(f337(f337(f251(a884),x61042),x61041))
% 198.12/198.41 [6121]~P76(x61211)+~P24(f337(f337(f251(x61211),x61212),f2(x61211)))+P24(f337(f337(f251(x61211),x61212),f337(f80(x61211),x61212)))
% 198.12/198.41 [6122]~P116(x61221)+~P24(f337(f337(f252(x61221),x61222),f2(x61221)))+P24(f337(f337(f252(x61221),x61222),f337(f80(x61221),x61222)))
% 198.12/198.41 [6132]~P28(x61321)+E(f337(f337(f65(x61321,x61321,f104(x61321)),f260(x61321)),x61322),f41(x61321,x61322))+~P24(f337(f62(x61321),x61322))
% 198.12/198.41 [6133]~P28(x61331)+E(f337(f337(f65(x61331,x61331,f113(x61331)),f197(x61331)),x61332),f40(x61331,x61332))+~P24(f337(f62(x61331),x61332))
% 198.12/198.41 [6147]~P116(x61471)+~P24(f337(f337(f251(a1),f2(a1)),x61472))+P24(f337(f337(f251(x61471),f2(x61471)),f337(f105(x61471),x61472)))
% 198.12/198.41 [6148]~P122(x61481)+~P24(f337(f337(f252(a884),f2(a884)),x61482))+P24(f337(f337(f252(x61481),f2(x61481)),f337(f103(x61481),x61482)))
% 198.12/198.41 [6149]~P116(x61491)+~P24(f337(f337(f252(a1),f2(a1)),x61492))+P24(f337(f337(f252(x61491),f2(x61491)),f337(f105(x61491),x61492)))
% 198.12/198.41 [6152]~P29(x61522)+~P29(x61521)+E(f337(f316(a884,a1,f103(a1)),f308(a884,f337(a107,x61521),f337(a107,x61522))),f308(a1,x61521,x61522))
% 198.12/198.41 [6158]P24(f337(x61581,x61582))+~P24(f337(f337(f251(a1),f2(a1)),x61582))+~P24(f337(x61581,f337(f103(a1),f364(x61581))))
% 198.12/198.41 [6185]E(f337(f337(f81(a884),f337(f106(a884),x61851)),f337(f106(a884),x61852)),f337(f106(a884),x61851))+P24(f337(f337(f252(a1),x61851),a84))+~P24(f337(f337(f252(a1),x61852),a84))
% 198.12/198.41 [6189]~P116(x61891)+P24(f337(f337(f252(x61891),f2(x61891)),f83(x61891,x61892)))+~P24(f337(f337(f252(x61891),f2(x61891)),x61892))
% 198.12/198.41 [6200]~P78(x62001)+~P24(f337(f337(f251(x62001),x62002),f2(x62001)))+P24(f337(f337(f251(x62001),f2(x62001)),f337(f80(x62001),x62002)))
% 198.12/198.41 [6201]~P78(x62011)+~P24(f337(f337(f252(x62011),x62012),f2(x62011)))+P24(f337(f337(f252(x62011),f2(x62011)),f337(f80(x62011),x62012)))
% 198.12/198.41 [6204]E(x62041,f260(f893(x62042,a878)))+~E(f337(f38(x62042),x62041),f337(f38(x62042),f260(f893(x62042,a878))))+~P24(f337(f62(x62042),f260(f893(x62042,a878))))
% 198.12/198.41 [6245]~P76(x62451)+P24(f337(f337(f251(x62451),x62452),f2(x62451)))+~P24(f337(f337(f251(x62451),x62452),f337(f80(x62451),x62452)))
% 198.12/198.41 [6246]~P116(x62461)+P24(f337(f337(f252(x62461),x62462),f2(x62461)))+~P24(f337(f337(f252(x62461),x62462),f337(f80(x62461),x62462)))
% 198.12/198.41 [6255]~P93(x62551)+P24(f337(f337(f339(x62551),f337(f106(x62551),x62552)),f195(x62551)))+~P24(f337(f337(f251(a1),a84),x62552))
% 198.12/198.41 [6286]E(x62861,f2(a884))+~P24(f337(f337(f252(a884),x62861),f337(a115,x62862)))+P24(f337(f337(f252(a884),f829(x62862,x62861)),x62862))
% 198.12/198.41 [6308]~P116(x63081)+~P24(f337(f337(f252(x63081),f2(x63081)),f83(x63081,x63082)))+P24(f337(f337(f252(x63081),f2(x63081)),x63082))
% 198.12/198.41 [6310]~E(f337(f106(a884),x63102),f337(f106(a884),x63101))+P24(f337(f337(f251(a1),f337(f106(a1),x63101)),f2(a1)))+~P24(f337(a202,f337(f106(a1),x63102)))
% 198.12/198.41 [6339]E(f337(f271(a1,a1),f50(x63391,x63392)),f337(f337(f39(a1),x63391),x63392))+~P24(f337(f337(f252(a1),x63391),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x63392))
% 198.12/198.41 [6372]E(f337(f275(a1,a1),f50(x63721,x63722)),f45(a1,x63721,x63722))+~P24(f337(f337(f252(a1),x63721),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x63722))
% 198.12/198.41 [6375]~P116(x63752)+~P24(f337(f337(f251(x63752),f2(x63752)),f337(f105(x63752),x63751)))+P24(f337(f337(f251(a1),f2(a1)),x63751))
% 198.12/198.41 [6376]~P122(x63762)+~P24(f337(f337(f252(x63762),f2(x63762)),f337(f103(x63762),x63761)))+P24(f337(f337(f252(a884),f2(a884)),x63761))
% 198.12/198.41 [6377]~P116(x63772)+~P24(f337(f337(f252(x63772),f2(x63772)),f337(f105(x63772),x63771)))+P24(f337(f337(f252(a1),f2(a1)),x63771))
% 198.12/198.41 [6380]E(f337(f271(a1,a1),f47(x63801,x63802)),f337(f337(f39(a1),x63801),x63802))+~P24(f337(f337(f251(a1),f2(a1)),x63802))+~P24(f337(f337(f252(a1),f2(a1)),x63801))
% 198.12/198.41 [6395]E(f337(f275(a1,a1),f47(x63951,x63952)),f45(a1,x63951,x63952))+~P24(f337(f337(f251(a1),f2(a1)),x63952))+~P24(f337(f337(f252(a1),f2(a1)),x63951))
% 198.12/198.41 [6410]~P78(x64101)+P24(f337(f337(f251(x64101),x64102),f2(x64101)))+~P24(f337(f337(f251(x64101),f2(x64101)),f337(f80(x64101),x64102)))
% 198.12/198.41 [6411]~P78(x64111)+P24(f337(f337(f252(x64111),x64112),f2(x64111)))+~P24(f337(f337(f252(x64111),f2(x64111)),f337(f80(x64111),x64112)))
% 198.12/198.41 [6437]P24(f337(f49(x64371,x64372),f50(x64371,x64372)))+~P24(f337(f337(f252(a1),x64371),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x64372))
% 198.12/198.41 [6462]P24(f337(f49(x64621,x64622),f47(x64621,x64622)))+~P24(f337(f337(f251(a1),f2(a1)),x64621))+~P24(f337(f337(f252(a1),f2(a1)),x64622))
% 198.12/198.41 [6506]~P78(x65061)+P24(f337(f337(f251(x65061),f337(f80(x65061),x65062)),f2(x65061)))+~P24(f337(f337(f251(x65061),f2(x65061)),x65062))
% 198.12/198.41 [6507]~P78(x65071)+P24(f337(f337(f252(x65071),f337(f80(x65071),x65072)),f2(x65071)))+~P24(f337(f337(f252(x65071),f2(x65071)),x65072))
% 198.12/198.41 [6524]E(f337(f337(f22(a884),f337(a107,x65241)),f337(a107,x65242)),f337(a107,f203(x65241,x65242)))+~P24(f337(f337(f251(a1),f2(a1)),x65242))+~P24(f337(f337(f251(a1),f2(a1)),x65241))
% 198.12/198.41 [6541]P24(f337(f337(f251(a1),f2(a1)),f203(x65411,x65412)))+~P24(f337(f337(f251(a1),f2(a1)),x65412))+~P24(f337(f337(f251(a1),f2(a1)),x65411))
% 198.12/198.41 [6580]~P24(f337(x65801,x65802))+P24(f337(x65801,f2(a884)))+P24(f337(x65801,f337(f337(f81(a884),f864(x65802,x65801)),f79(a884))))
% 198.12/198.41 [6662]E(f337(f106(a884),x66621),f337(f106(a884),x66622))+~P24(f337(f337(f251(a1),f337(f106(a1),x66622)),f2(a1)))+~P24(f337(a202,f337(f106(a1),x66621)))
% 198.12/198.41 [6672]~E(x66721,f2(a884))+~E(f691(x66722,x66721),f2(a884))+E(f337(f144(a884,a884,f81(a884),x66721),x66722),f2(a884))
% 198.12/198.41 [6697]~P24(f337(f62(x66971),f604(x66972,x66971)))+~P24(f337(f62(f893(x66971,a878)),x66972))+P24(f337(f62(x66971),f40(f893(x66971,a878),x66972)))
% 198.12/198.41 [6703]E(x67031,x67032)+P24(f337(f337(f252(a1),x67031),x67032))+~P24(f337(f337(f252(a1),x67031),f337(f337(f81(a1),x67032),f79(a1))))
% 198.12/198.41 [6704]P24(f337(f337(f251(a884),f337(a107,x67041)),f337(a107,x67042)))+~P24(f337(f337(f251(a1),f2(a1)),x67042))+~P24(f337(f337(f251(a1),x67041),x67042))
% 198.12/198.41 [6705]P24(f337(f337(f251(a884),f337(a107,x67051)),f337(a107,x67052)))+~P24(f337(f337(f252(a1),f2(a1)),x67051))+~P24(f337(f337(f251(a1),x67051),x67052))
% 198.12/198.41 [6707]P24(f337(f337(f252(a884),f337(a107,x67071)),f337(a107,x67072)))+~P24(f337(f337(f251(a1),f2(a1)),x67071))+~P24(f337(f337(f252(a1),x67071),x67072))
% 198.12/198.41 [6708]P24(f337(f337(f252(a884),f337(a107,x67081)),f337(a107,x67082)))+~P24(f337(f337(f252(a1),f2(a1)),x67082))+~P24(f337(f337(f252(a1),x67081),x67082))
% 198.12/198.41 [6719]E(f45(a884,f337(a107,x67191),f337(a107,x67192)),f337(a107,f45(a1,x67191,x67192)))+~P24(f337(f337(f251(a1),f2(a1)),x67192))+~P24(f337(f337(f251(a1),f2(a1)),x67191))
% 198.12/198.41 [6741]~P78(x67411)+~P24(f337(f337(f251(x67411),f337(f80(x67411),x67412)),f2(x67411)))+P24(f337(f337(f251(x67411),f2(x67411)),x67412))
% 198.12/198.41 [6742]~P78(x67421)+~P24(f337(f337(f252(x67421),f337(f80(x67421),x67422)),f2(x67421)))+P24(f337(f337(f252(x67421),f2(x67421)),x67422))
% 198.12/198.41 [6757]~P24(f337(f337(f252(a1),a84),x67572))+~P24(f337(f337(f252(a1),x67571),x67572))+P24(f337(f337(f252(a884),f337(f106(a884),x67571)),f337(f106(a884),x67572)))
% 198.12/198.41 [6848]~P24(f337(f337(f251(a1),f2(a1)),x68481))+P24(f337(f337(f252(a884),f337(a107,x68481)),x68482))+~P24(f337(f337(f252(a1),x68481),f337(f103(a1),x68482)))
% 198.12/198.41 [6865]E(x68651,f2(a1))+E(f45(a1,x68652,x68651),f2(a1))+E(f337(f337(f22(a1),f337(f80(a1),f337(f337(f39(a1),x68652),x68651))),f79(a1)),f337(f337(f39(a1),x68652),f337(f80(a1),x68651)))
% 198.12/198.41 [6881]~P24(f337(f337(f251(a1),f2(a1)),x68811))+~P24(f337(f337(f252(a884),f337(a107,x68811)),x68812))+P24(f337(f337(f252(a1),x68811),f337(f103(a1),x68812)))
% 198.12/198.41 [6916]~P24(f337(f337(f251(a884),f337(a107,x69161)),f337(a107,x69162)))+~P24(f337(f337(f251(a1),f2(a1)),x69162))+P24(f337(f337(f251(a1),x69161),x69162))
% 198.12/198.41 [6917]~P24(f337(f337(f251(a884),f337(a107,x69171)),f337(a107,x69172)))+~P24(f337(f337(f252(a1),f2(a1)),x69171))+P24(f337(f337(f251(a1),x69171),x69172))
% 198.12/198.41 [6945]P24(f337(f337(f251(a1),x69451),x69452))+~P24(f337(f337(f251(a884),f337(f106(a884),x69451)),f337(f106(a884),x69452)))+P24(f337(f337(f251(a1),x69451),a84))
% 198.12/198.41 [6970]P24(f337(f337(f251(a1),f2(a1)),f45(a1,x69701,x69702)))+~P24(f337(f337(f251(a1),f2(a1)),x69702))+~P24(f337(f337(f251(a1),f2(a1)),x69701))
% 198.12/198.41 [7069]P24(f337(f337(f252(a1),a84),x70691))+~P24(f337(f337(f252(a1),x70692),x70691))+~P24(f337(f337(f252(a884),f337(f106(a884),x70692)),f337(f106(a884),x70691)))
% 198.12/198.41 [7121]E(f337(f337(f272(a1,a1),f337(f337(f39(a1),x71211),x71212)),f45(a1,x71211,x71212)),f50(x71211,x71212))+~P24(f337(f337(f252(a1),x71211),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x71212))
% 198.12/198.41 [7142]E(f337(f337(f272(a1,a1),f337(f337(f39(a1),x71421),x71422)),f45(a1,x71421,x71422)),f47(x71421,x71422))+~P24(f337(f337(f251(a1),f2(a1)),x71422))+~P24(f337(f337(f251(a1),f2(a1)),x71421))
% 198.12/198.41 [7193]~P96(x71932)+E(x71931,f116(x71932))+E(f337(f144(x71932,x71932,f82(x71932),f337(f143(x71932),x71931)),f337(f174(x71932),x71931)),f337(f64(x71932,f82(x71932)),f337(f175(x71932),x71931)))
% 198.12/198.41 [7306]~E(x73061,f2(a884))+E(f337(f144(a884,a884,f81(a884),x73061),x73062),f2(a884))+P24(f337(f337(f339(a884),f691(x73062,x73061)),f337(f175(a884),x73062)))
% 198.12/198.41 [7356]~P24(f337(f337(f251(a1),x73561),f2(a1)))+P24(f337(f337(f251(a1),f337(f337(f39(a1),x73561),x73562)),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x73562))
% 198.12/198.41 [7357]~P24(f337(f337(f252(a1),x73572),f2(a1)))+P24(f337(f337(f251(a1),f337(f337(f39(a1),x73571),x73572)),f2(a1)))+~P24(f337(f337(f251(a1),f2(a1)),x73571))
% 198.12/198.41 [7358]~P24(f337(f337(f252(a1),x73582),f2(a1)))+P24(f337(f337(f252(a1),f337(f337(f39(a1),x73581),x73582)),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x73581))
% 198.12/198.41 [7360]~P24(f337(f337(f252(a1),x73601),f2(a1)))+P24(f337(f337(f252(a1),f337(f337(f39(a1),x73601),x73602)),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x73602))
% 198.12/198.41 [7366]P24(f337(f337(f339(f893(x73661,a878)),f604(x73662,x73661)),x73662))+~P24(f337(f62(f893(x73661,a878)),x73662))+P24(f337(f62(x73661),f40(f893(x73661,a878),x73662)))
% 198.12/198.41 [7461]P21(x74611,x74611,x74612,f260(f893(x74611,a878)))+~E(f337(f316(x74611,x74611,x74612),f260(f893(x74611,a878))),f260(f893(x74611,a878)))+~P24(f337(f62(x74611),f260(f893(x74611,a878))))
% 198.12/198.41 [7588]~P21(x75881,x75881,x75882,f260(f893(x75881,a878)))+E(f337(f316(x75881,x75881,x75882),f260(f893(x75881,a878))),f260(f893(x75881,a878)))+~P24(f337(f62(x75881),f260(f893(x75881,a878))))
% 198.12/198.41 [7726]E(f337(f337(f39(a1),x77261),x77262),f337(f106(a1),a100))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),x77261),x77262)),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x77261))
% 198.12/198.41 [7785]~P24(f337(f337(f252(a1),x77852),f2(a1)))+~P24(f337(f337(f252(a1),f337(f337(f39(a1),x77851),x77852)),f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x77851))
% 198.12/198.41 [7790]E(f337(f337(f81(a1),x77901),x77902),f45(a1,x77901,x77902))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),x77901),x77902)),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x77901))
% 198.12/198.41 [7793]P24(f337(f337(f252(a1),x77931),f2(a1)))+~P24(f337(f337(f252(a1),f337(f337(f39(a1),x77931),x77932)),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x77932))
% 198.12/198.41 [8176]~P57(x81761)+~P24(f337(f59(f887(x81761)),x81762))+P24(f337(f59(x81761),f337(f337(f8(f887(x81761),a878,x81761),x81762),f209(x81761))))
% 198.12/198.41 [8481]~P105(x84811)+P30(x84811,x84812)+~P24(f337(f337(f251(x84811),f337(f337(f167(x84811),x84812),f724(x84812,x84811))),f337(f337(f167(x84811),x84812),f725(x84812,x84811))))
% 198.12/198.41 [8482]~P105(x84821)+P30(x84821,x84822)+~P24(f337(f337(f251(x84821),f337(f337(f167(x84821),x84822),f730(x84822,x84821))),f337(f337(f167(x84821),x84822),f740(x84822,x84821))))
% 198.12/198.41 [8626]~P57(x86261)+P24(f337(f58(f887(x86261)),x86262))+~P24(f337(f58(x86261),f337(f337(f8(f887(x86261),a878,x86261),x86262),f209(x86261))))
% 198.12/198.41 [9770]~P57(x97701)+~P57(x97702)+E(f337(f337(f156(f885(x97701),f893(x97702,x97701)),f337(f337(f8(f893(x97702,f887(x97701)),f893(x97702,x97701),f885(x97701)),f74(f887(x97701),x97701,x97702,f248(x97701))),f337(f337(f8(f885(f892(x97702,x97701)),f893(x97702,f887(x97701)),f885(x97701)),f181(x97702,x97701)),f337(f185(x97702,x97701),f56(x97702))))),f55(x97701,f337(f198(f885(x97702)),f56(x97702)),f56(x97701))),f56(f893(x97702,x97701)))
% 198.12/198.41 [5737]E(x57371,f2(a1))+~E(f45(a1,x57372,x57371),f2(a1))+E(f337(f337(f39(a1),x57372),f337(f80(a1),x57371)),f337(f80(a1),f337(f337(f39(a1),x57372),x57371)))
% 198.12/198.41 [5755]~P40(x57552)+~P40(x57551)+P40(f337(f337(f113(f893(a1,a878)),x57551),x57552))
% 198.12/198.41 [5756]~P40(x57562)+~P40(x57561)+P40(f337(f337(f104(f893(a1,a878)),x57561),x57562))
% 198.12/198.41 [5774]~P58(x57741)+~P93(x57741)+E(f337(f80(x57741),f337(f337(f295(x57741),f79(x57741)),x57742)),f337(f337(f295(x57741),f337(f106(x57741),a100)),x57742))
% 198.12/198.41 [5890]E(x58901,f2(a1))+~E(f45(a1,x58902,x58901),f2(a1))+E(f337(f337(f39(a1),f337(f80(a1),x58902)),x58901),f337(f80(a1),f337(f337(f39(a1),x58902),x58901)))
% 198.12/198.41 [6024]~P105(x60241)+P30(x60241,x60242)+P24(f337(f337(f252(a884),f725(x60242,x60241)),f337(f198(f885(x60241)),x60242)))
% 198.12/198.41 [6025]~P105(x60251)+P30(x60251,x60252)+P24(f337(f337(f252(a884),f740(x60252,x60251)),f337(f198(f885(x60251)),x60252)))
% 198.12/198.41 [6179]~P93(x61791)+~E(f337(f106(x61791),x61792),f2(x61791))+P32(x61791,f337(f106(x61791),f337(f337(f81(a1),x61792),f337(f80(a1),a84))))
% 198.12/198.41 [6180]~P93(x61801)+~E(f337(f106(x61801),x61802),f2(x61801))+P32(x61801,f337(f106(x61801),f337(f337(f81(a1),a84),f337(f80(a1),x61802))))
% 198.12/198.41 [6182]E(f337(a51,f47(f337(f80(a1),x61821),f337(f80(a1),x61822))),f46(x61821,x61822))+P24(f337(f337(f251(a1),f2(a1)),x61821))+P24(f337(f337(f252(a1),f2(a1)),x61822))
% 198.12/198.41 [6316]~E(x63162,f2(a884))+~E(x63161,f2(a884))+P24(f337(f337(f251(a1),f337(f103(a1),x63161)),f337(f80(a1),f337(f103(a1),x63162))))
% 198.12/198.41 [6343]E(f337(f337(f81(a884),f337(f106(a884),x63431)),f337(f106(a884),x63432)),f337(f106(a884),f337(f337(f81(a1),x63431),x63432)))+P24(f337(f337(f252(a1),x63431),a84))+P24(f337(f337(f252(a1),x63432),a84))
% 198.12/198.41 [6471]~P76(x64711)+~P24(f337(f337(f251(x64711),f2(x64711)),x64712))+P24(f337(f337(f251(x64711),f337(f80(x64711),x64712)),x64712))
% 198.12/198.41 [6472]~P76(x64721)+~P24(f337(f337(f252(x64721),f2(x64721)),x64722))+P24(f337(f337(f252(x64721),f337(f80(x64721),x64722)),x64722))
% 198.12/198.41 [6648]E(f337(f337(f22(a884),f337(a107,x66481)),f337(a107,x66482)),f337(a107,f337(f337(f22(a1),x66481),x66482)))+~P24(f337(f337(f251(a1),f2(a1)),x66482))+~P24(f337(f337(f251(a1),x66482),x66481))
% 198.12/198.41 [6680]E(f337(a107,f45(a1,f337(f106(a1),x66801),f337(f106(a1),x66802))),f45(a884,f337(f106(a884),x66801),f337(f106(a884),x66802)))+P24(f337(a202,f337(f106(a1),x66801)))+P24(f337(a202,f337(f106(a1),x66802)))
% 198.12/198.41 [6698]~P76(x66981)+P24(f337(f337(f251(x66981),f2(x66981)),x66982))+~P24(f337(f337(f251(x66981),f337(f80(x66981),x66982)),x66982))
% 198.12/198.41 [6699]~P76(x66991)+P24(f337(f337(f252(x66991),f2(x66991)),x66992))+~P24(f337(f337(f252(x66991),f337(f80(x66991),x66992)),x66992))
% 198.12/198.41 [6711]~P76(x67111)+~P24(f337(f337(f251(x67111),f2(x67111)),x67112))+P24(f337(f337(f251(x67111),f2(x67111)),f337(f337(f81(x67111),x67112),x67112)))
% 198.12/198.41 [6713]~P76(x67131)+~P24(f337(f337(f252(x67131),f2(x67131)),x67132))+P24(f337(f337(f252(x67131),f2(x67131)),f337(f337(f81(x67131),x67132),x67132)))
% 198.12/198.41 [6725]E(f337(f337(f81(a884),f337(a107,x67251)),f337(a107,x67252)),f337(a107,f337(f337(f81(a1),x67251),x67252)))+~P24(f337(f337(f251(a1),f2(a1)),x67252))+~P24(f337(f337(f251(a1),f2(a1)),x67251))
% 198.12/198.41 [6736]E(x67361,f2(a884))+P24(f337(f337(f252(a884),f2(a884)),x67362))+~P24(f337(f337(f252(a884),f2(a884)),f337(f337(f262(a884),x67362),x67361)))
% 198.12/198.41 [6766]~P93(x67661)+E(f337(f106(x67661),x67662),f2(x67661))+~P32(x67661,f337(f106(x67661),f337(f337(f81(a1),a84),f337(f80(a1),x67662))))
% 198.12/198.41 [6767]~P93(x67671)+E(f337(f106(x67671),x67672),f2(x67671))+~P32(x67671,f337(f106(x67671),f337(f337(f81(a1),x67672),f337(f80(a1),a84))))
% 198.12/198.41 [6826]~P24(f337(f62(x68261),x68262))+~P24(f337(f62(x68261),f260(f893(x68261,a878))))+P24(f337(f62(x68261),f337(f80(f893(x68261,a878)),x68262)))
% 198.12/198.41 [6849]~P24(f337(f337(f252(a1),f2(a1)),x68492))+~P24(f337(f337(f251(a1),x68492),x68491))+P24(f337(f337(f252(a1),f2(a1)),f337(f337(f39(a1),x68491),x68492)))
% 198.12/198.41 [6850]~P24(f337(f337(f251(a1),x68501),f2(a1)))+~P24(f337(f337(f252(a1),x68502),f2(a1)))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f39(a1),x68501),x68502)))
% 198.12/198.41 [6889]~P24(f337(f337(f251(a1),f2(a1)),x68892))+~P24(f337(f337(f251(a1),f2(a1)),x68891))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f82(a1),x68891),x68892)))
% 198.12/198.41 [6890]~P24(f337(f337(f251(a1),f2(a1)),x68902))+~P24(f337(f337(f251(a1),f2(a1)),x68901))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),x68901),x68902)))
% 198.12/198.41 [6891]~P24(f337(f337(f251(a1),f2(a1)),x68912))+~P24(f337(f337(f251(a1),f2(a1)),x68911))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f39(a1),x68911),x68912)))
% 198.12/198.41 [6892]~P24(f337(f337(f251(a1),f2(a1)),x68921))+~P24(f337(f337(f252(a1),f2(a1)),x68922))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f39(a1),x68921),x68922)))
% 198.12/198.41 [6893]~P24(f337(f337(f252(a884),f2(a884)),x68932))+~P24(f337(f337(f252(a884),f2(a884)),x68931))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f82(a884),x68931),x68932)))
% 198.12/198.41 [6958]E(x69581,f2(a1))+E(f45(a1,x69582,x69581),f2(a1))+E(f337(f337(f22(a1),f337(f80(a1),f337(f337(f39(a1),x69582),x69581))),f79(a1)),f337(f337(f39(a1),f337(f80(a1),x69582)),x69581))
% 198.12/198.41 [7011]P24(f337(f337(f252(a884),f2(a884)),x70111))+P24(f337(f337(f252(a884),f2(a884)),x70112))+~P24(f337(f337(f252(a884),f2(a884)),f337(f337(f81(a884),x70112),x70111)))
% 198.12/198.41 [7015]~P76(x70151)+P24(f337(f337(f251(x70151),f2(x70151)),x70152))+~P24(f337(f337(f251(x70151),f2(x70151)),f337(f337(f81(x70151),x70152),x70152)))
% 198.12/198.41 [7016]~P76(x70161)+P24(f337(f337(f252(x70161),f2(x70161)),x70162))+~P24(f337(f337(f252(x70161),f2(x70161)),f337(f337(f81(x70161),x70162),x70162)))
% 198.12/198.41 [7070]~P24(f337(f62(x70701),x70702))+P24(f337(f62(x70701),f260(f893(x70701,a878))))+~P24(f337(f62(x70701),f337(f80(f893(x70701,a878)),x70702)))
% 198.12/198.41 [7134]P24(f337(f337(f251(a1),x71341),f2(a1)))+~P24(f337(f337(f252(a1),x71342),f2(a1)))+~P24(f337(f337(f251(a1),f2(a1)),f337(f337(f39(a1),x71341),x71342)))
% 198.12/198.41 [7140]~P24(f337(f337(f252(a1),f2(a1)),x71401))+P24(f337(f337(f251(a1),x71401),x71402))+~P24(f337(f337(f252(a1),f2(a1)),f337(f337(f39(a1),x71402),x71401)))
% 198.12/198.41 [7141]~P24(f337(f337(f251(a1),f2(a1)),x71412))+P24(f337(f337(f251(a1),x71411),x71412))+~P24(f337(f337(f252(a1),f2(a1)),f337(f337(f39(a1),x71412),x71411)))
% 198.12/198.41 [7170]P24(f337(f337(f251(a1),f2(a1)),x71701))+~P24(f337(f337(f252(a1),f2(a1)),x71702))+~P24(f337(f337(f251(a1),f2(a1)),f337(f337(f39(a1),x71701),x71702)))
% 198.12/198.41 [7171]P24(f337(f337(f252(a1),f2(a1)),x71711))+~P24(f337(f337(f251(a1),f2(a1)),x71712))+~P24(f337(f337(f252(a1),f2(a1)),f337(f337(f39(a1),x71712),x71711)))
% 198.12/198.41 [7619]~P24(f337(f62(x76192),f260(f893(x76192,a878))))+~P24(f337(f62(x76191),f260(f893(x76191,a878))))+P24(f337(f62(f891(x76191,x76192)),f260(f893(f891(x76191,x76192),a878))))
% 198.12/198.41 [7620]~P24(f337(f62(x76202),f260(f893(x76202,a878))))+~P24(f337(f62(x76201),f260(f893(x76201,a878))))+P24(f337(f62(f892(x76201,x76202)),f260(f893(f892(x76201,x76202),a878))))
% 198.12/198.41 [7690]~P24(f337(f337(f252(a884),f337(a115,f2(a884))),x76901))+~P24(f337(f337(f252(a884),f337(a115,f2(a884))),x76902))+P24(f337(f337(f252(a884),x76901),f337(f337(f82(a884),x76902),x76901)))
% 198.12/198.41 [7691]~P24(f337(f337(f252(a884),f337(a115,f2(a884))),x76911))+~P24(f337(f337(f252(a884),f337(a115,f2(a884))),x76912))+P24(f337(f337(f252(a884),x76911),f337(f337(f82(a884),x76911),x76912)))
% 198.12/198.41 [7725]E(f337(f38(x77251),f260(f893(x77251,a878))),f337(a115,f2(a884)))+P24(f337(f62(x77252),f260(f893(x77252,a878))))+~P24(f337(f62(f893(x77252,x77251)),f260(f893(f893(x77252,x77251),a878))))
% 198.12/198.41 [7853]~P24(f337(f337(f251(a884),f337(a115,f2(a884))),x78531))+~P24(f337(f337(f251(a884),f337(a115,f2(a884))),x78532))+P24(f337(f337(f251(a884),f337(a115,f2(a884))),f337(f337(f82(a884),x78531),x78532)))
% 198.12/198.41 [7854]~P24(f337(f337(f252(a884),f337(a115,f2(a884))),x78542))+~P24(f337(f337(f252(a884),f337(a115,f2(a884))),x78541))+P24(f337(f337(f252(a884),f337(a115,f2(a884))),f337(f337(f82(a884),x78541),x78542)))
% 198.12/198.41 [8525]E(x85251,f116(x85252))+~P24(f337(f139(x85252),x85251))+E(f180(x85252,f337(f337(f8(a878,a878,x85252),a332),f337(f337(f7(x85252,x85252,a878),a334),f146(x85252,x85251))),x85251),f117(x85252,x85251))
% 198.12/198.41 [8617]~P40(x86172)+~P40(x86171)+E(f337(f316(a884,a1,f103(a1)),f337(f337(f113(f893(a884,a878)),f337(f316(a1,a884,a107),x86171)),f337(f316(a1,a884,a107),x86172))),f337(f337(f113(f893(a1,a878)),x86171),x86172))
% 198.12/198.41 [8618]~P40(x86182)+~P40(x86181)+E(f337(f316(a884,a1,f103(a1)),f337(f337(f104(f893(a884,a878)),f337(f316(a1,a884,a107),x86181)),f337(f316(a1,a884,a107),x86182))),f337(f337(f104(f893(a1,a878)),x86181),x86182))
% 198.12/198.41 [9254]~P93(x92541)+~E(f337(f106(x92541),x92542),f79(x92541))+P32(x92541,f337(f106(x92541),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f80(a1),x92542))))
% 198.12/198.41 [9487]~P93(x94871)+E(f337(f106(x94871),x94872),f79(x94871))+~P32(x94871,f337(f106(x94871),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f80(a1),x94872))))
% 198.12/198.41 [10215]E(x102151,f2(a1))+E(x102152,f2(a1))+E(f337(f277(a1,a1,a1,a1,f34(a1),f337(f82(a1),f83(a1,x102152))),f337(f337(f337(f99(f892(a1,a1)),f337(f337(a334,f83(a1,x102151)),f83(a1,x102152))),f53(x102151,x102152)),f337(f337(f276(a1,a1,f892(a1,a1)),f337(f337(f18(a1,f893(a1,f892(a1,a1)),f893(a1,f892(a1,a1))),f337(f337(f8(f893(a1,f893(f892(a1,a1),f892(a1,a1))),f893(f893(a1,f892(a1,a1)),f893(a1,f892(a1,a1))),a1),f18(a1,f892(a1,a1),f892(a1,a1))),f337(f337(f8(f892(a1,a1),f893(a1,f893(f892(a1,a1),f892(a1,a1))),a1),f337(f7(a1,f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),f337(f337(f8(a878,f893(f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),a1),f99(f892(a1,a1))),f337(f337(f7(a1,a1,a878),a334),f2(a1))))),f337(f337(f7(a1,a1,f892(a1,a1)),f337(f337(f8(a1,f893(a1,f892(a1,a1)),a1),f272(a1,a1)),f80(a1))),f2(a1))))),f337(f337(f7(a1,f893(a1,a1),f893(a1,f892(a1,a1))),f337(f337(f8(f893(a1,f892(a1,a1)),f893(f893(a1,a1),f893(a1,f892(a1,a1))),a1),f8(a1,f892(a1,a1),a1)),f337(f337(f8(a1,f893(a1,f892(a1,a1)),a1),f272(a1,a1)),f337(f337(f7(a1,a1,a1),f337(f337(f8(a1,f893(a1,a1),a1),f22(a1)),f80(a1))),f79(a1))))),f337(f22(a1),f337(f76(a1),x102152))))),f53(x102151,x102152)))),f46(x102151,x102152))
% 198.12/198.41 [10216]E(x102161,f2(a1))+E(x102162,f2(a1))+E(f337(f277(a1,a1,a1,a1,f34(a1),f337(f82(a1),f83(a1,x102162))),f337(f337(f337(f99(f892(a1,a1)),f337(f337(a336,f337(f337(a335,f337(f337(f252(a1),f2(a1)),x102162)),f337(f337(f251(a1),f2(a1)),x102161))),f337(f337(a335,f337(f337(f252(a1),x102162),f2(a1))),f337(f337(f252(a1),x102161),f2(a1))))),f53(x102161,x102162)),f337(f337(f276(a1,a1,f892(a1,a1)),f337(f337(f18(a1,f893(a1,f892(a1,a1)),f893(a1,f892(a1,a1))),f337(f337(f8(f893(a1,f893(f892(a1,a1),f892(a1,a1))),f893(f893(a1,f892(a1,a1)),f893(a1,f892(a1,a1))),a1),f18(a1,f892(a1,a1),f892(a1,a1))),f337(f337(f8(f892(a1,a1),f893(a1,f893(f892(a1,a1),f892(a1,a1))),a1),f337(f7(a1,f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),f337(f337(f8(a878,f893(f892(a1,a1),f893(f892(a1,a1),f892(a1,a1))),a1),f99(f892(a1,a1))),f337(f337(f7(a1,a1,a878),a334),f2(a1))))),f337(f337(f7(a1,a1,f892(a1,a1)),f337(f337(f8(a1,f893(a1,f892(a1,a1)),a1),f272(a1,a1)),f80(a1))),f2(a1))))),f337(f337(f7(a1,f893(a1,a1),f893(a1,f892(a1,a1))),f337(f337(f8(f893(a1,f892(a1,a1)),f893(f893(a1,a1),f893(a1,f892(a1,a1))),a1),f8(a1,f892(a1,a1),a1)),f337(f337(f8(a1,f893(a1,f892(a1,a1)),a1),f272(a1,a1)),f337(f337(f7(a1,a1,a1),f337(f337(f8(a1,f893(a1,a1),a1),f22(a1)),f80(a1))),f79(a1))))),f337(f22(a1),f337(f76(a1),x102162))))),f53(x102161,x102162)))),f46(x102161,x102162))
% 198.12/198.41 [5763]~P116(x57631)+~P93(x57631)+E(f337(f76(x57631),f337(f337(f262(x57631),f337(f106(x57631),a100)),x57632)),f79(x57631))
% 198.12/198.41 [6256]~P138(x62561)+~P24(f337(f337(f252(a1),x62562),f2(a1)))+E(f337(f80(x62561),f337(f103(x62561),f337(a107,f337(f80(a1),x62562)))),f337(f105(x62561),x62562))
% 198.12/198.41 [6455]P24(f337(f337(f251(a102),x64551),f79(a102)))+E(f337(f337(f81(a102),f79(a102)),f285(x64551,f337(f337(f39(a102),x64552),x64551))),f285(x64551,x64552))+P24(f337(f337(f252(a102),x64552),x64551))
% 198.12/198.41 [7056]~P92(x70561)+~P24(f337(f337(f339(x70561),x70562),f112(x70561)))+~E(f337(f337(f81(x70561),f337(f337(f81(x70561),f79(x70561)),x70562)),x70562),f2(x70561))
% 198.12/198.41 [7172]~P24(f337(f337(f251(a1),x71722),f2(a1)))+~P24(f337(f337(f252(a1),x71721),f2(a1)))+E(f337(f271(a1,a1),f337(a51,f47(f337(f80(a1),x71721),f337(f80(a1),x71722)))),f337(f337(f39(a1),x71721),x71722))
% 198.12/198.41 [7189]~P24(f337(f337(f251(a1),x71892),f2(a1)))+~P24(f337(f337(f252(a1),x71891),f2(a1)))+E(f337(f275(a1,a1),f337(a51,f47(f337(f80(a1),x71891),f337(f80(a1),x71892)))),f45(a1,x71891,x71892))
% 198.12/198.41 [7195]~P24(f337(f337(f252(a1),x71952),f2(a1)))+E(f337(f271(a1,a1),f337(a51,f50(f337(f80(a1),x71951),f337(f80(a1),x71952)))),f337(f337(f39(a1),x71951),x71952))+~P24(f337(f337(f252(a1),f2(a1)),x71951))
% 198.12/198.41 [7213]~P24(f337(f337(f252(a1),x72132),f2(a1)))+E(f337(f275(a1,a1),f337(a51,f50(f337(f80(a1),x72131),f337(f80(a1),x72132)))),f45(a1,x72131,x72132))+~P24(f337(f337(f252(a1),f2(a1)),x72131))
% 198.12/198.41 [7267]E(f337(f337(f39(a1),f337(f337(f262(a1),x72671),x72672)),x72671),f337(f337(f262(a1),x72671),f337(f337(f22(a884),x72672),f337(a115,f2(a884)))))+~P24(f337(f337(f252(a884),f2(a884)),x72672))+~P24(f337(f337(f252(a1),f2(a1)),x72671))
% 198.12/198.41 [7363]~P24(f337(f337(f252(a884),f2(a884)),x73631))+~P24(f337(f337(f252(a884),f2(a884)),x73632))+P24(f337(f337(f252(a884),f337(f337(f22(a884),x73631),x73632)),x73631))
% 198.12/198.41 [7364]~P24(f337(f337(f252(a884),f2(a884)),x73641))+~P24(f337(f337(f252(a884),f79(a884)),x73642))+P24(f337(f337(f252(a884),f337(f337(f39(a884),x73641),x73642)),x73641))
% 198.12/198.41 [7365]~P24(f337(f337(f252(a1),f2(a1)),x73651))+~P24(f337(f337(f252(a1),f79(a1)),x73652))+P24(f337(f337(f252(a1),f337(f337(f39(a1),x73651),x73652)),x73651))
% 198.12/198.41 [7510]E(x75101,f2(a884))+~E(x75102,f2(a1))+~P24(f337(f337(f252(a1),f2(a1)),f337(f337(f262(a1),f337(f76(a1),x75102)),x75101)))
% 198.12/198.41 [7930]~E(x79302,f116(f885(x79301)))+E(f337(f198(f885(f885(x79301))),f183(x79301,x79302)),f2(a884))+~P30(a884,f337(f171(a884),f337(f337(f156(f885(x79301),a884),f198(f885(x79301))),x79302)))
% 198.12/198.41 [8175]P24(f337(x81751,x81752))+~P24(f337(x81751,f337(a109,f549(x81751,x81752))))+~P24(f337(f337(f339(f893(f892(a884,a884),a878)),x81752),a101))
% 198.12/198.41 [8193]E(x81931,f116(f885(x81932)))+E(f337(f198(f885(x81932)),f337(f337(f167(f885(x81932)),x81931),f2(a884))),f337(f198(f885(f885(x81932))),f183(x81932,x81931)))+~P30(a884,f337(f171(a884),f337(f337(f156(f885(x81932),a884),f198(f885(x81932))),x81931)))
% 198.12/198.41 [8878]~P24(f337(f62(x88781),f337(f257(x88781),x88782)))+~P24(f337(f62(x88781),f260(f893(x88781,a878))))+P24(f337(f62(x88781),f337(f257(x88781),f337(f337(f8(a878,a878,x88781),a332),x88782))))
% 198.12/198.41 [8941]E(f337(f337(f272(a884,a884),f337(a115,f337(f337(f39(a884),f337(f337(f22(a884),x89411),x89412)),x89412))),f45(a884,f337(f337(f22(a884),x89411),x89412),x89412)),f86(f892(a884,a884),f48(x89411,x89412)))+~P24(f337(f337(f252(a884),f2(a884)),x89412))+~P24(f337(f337(f251(a884),x89412),x89411))
% 198.12/198.41 [9223]~P24(f337(f62(x92231),f337(f257(x92231),x92232)))+P24(f337(f62(x92231),f260(f893(x92231,a878))))+~P24(f337(f62(x92231),f337(f257(x92231),f337(f337(f8(a878,a878,x92231),a332),x92232))))
% 198.12/198.41 [9936]P22(x99361,x99362)+~P39(x99361,f337(f271(f893(f892(x99361,x99361),a878),f893(f892(x99361,x99361),a878)),x99362))+~P24(f337(f337(f251(f893(f892(x99361,x99361),a878)),f337(f337(f294(x99361,x99361,x99361),f337(f271(f893(f892(x99361,x99361),a878),f893(f892(x99361,x99361),a878)),x99362)),f337(f275(f893(f892(x99361,x99361),a878),f893(f892(x99361,x99361),a878)),x99362))),f337(f271(f893(f892(x99361,x99361),a878),f893(f892(x99361,x99361),a878)),x99362)))
% 198.12/198.41 [7293]~P24(f337(f337(f252(a884),f2(a884)),x72932))+P24(f337(f337(f252(a884),x72931),x72932))+E(f337(a115,f337(f337(f39(a884),f337(f337(f22(a884),x72931),x72932)),x72932)),f337(f337(f39(a884),x72931),x72932))
% 198.12/198.41 [7430]~P24(f337(f337(f252(a884),f2(a884)),x74302))+~P24(f337(f337(f251(a884),x74302),x74301))+E(f337(a115,f337(f337(f39(a884),f337(f337(f22(a884),x74301),x74302)),x74302)),f337(f337(f39(a884),x74301),x74302))
% 198.12/198.41 [8401]~P93(x84011)+~P92(x84011)+~P32(x84011,f337(f106(x84011),f337(f337(f22(a1),f337(f337(f81(a1),x84012),x84012)),a100)))
% 198.12/198.41 [9130]E(x91301,f2(a884))+E(f337(f337(f276(a884,a884,f892(a884,a884)),f337(f337(f8(a884,f893(a884,f892(a884,a884)),a884),f272(a884,a884)),a115)),f86(f892(a884,a884),f48(f337(f337(f22(a884),x91302),x91301),x91301))),f86(f892(a884,a884),f48(x91302,x91301)))+P24(f337(f337(f252(a884),x91302),x91301))
% 198.12/198.41 [9548]P24(f337(x95482,f656(x95482,x95481)))+P24(f337(x95481,f656(x95482,x95481)))+E(f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x95481)),f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x95482)))
% 198.12/198.41 [9552]~P24(f337(x95522,f656(x95522,x95521)))+~P24(f337(x95521,f656(x95522,x95521)))+E(f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x95521)),f337(f257(a1),f337(f337(f18(a1,a878,a878),f337(f337(f8(a878,f893(a878,a878),a1),a335),f337(f251(a1),f2(a1)))),x95522)))
% 198.12/198.41 [7648]~P59(x76481)+~P93(x76481)+E(f337(f337(f295(x76481),x76482),f337(f106(x76481),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))),x76482)
% 198.12/198.41 [9863]~P24(f337(f62(a881),x98632))+P20(a879,x98631,f337(f316(a881,f882(a879),f337(f337(f8(a880,f882(a879),a881),a94),a28)),x98632))+~P20(a879,f337(f337(f113(f893(f882(a879),a878)),x98631),f337(f316(a881,f882(a879),f337(f337(f8(a880,f882(a879),a881),a94),a28)),x98632)),f337(f316(a881,f882(a879),f337(f337(f8(a880,f882(a879),a881),a94),f337(f337(f8(f887(a880),a880,a881),f248(a880)),a26))),x98632))
% 198.12/198.41 [9253]~P93(x92531)+~E(f337(f106(x92531),x92532),f79(x92531))+P32(x92531,f337(f106(x92531),f337(f337(f81(a1),x92532),f337(f80(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.41 [9427]~P137(x94271)+~E(x94272,f79(x94271))+E(f337(f337(f262(x94271),x94272),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f79(x94271))
% 198.12/198.41 [9428]~P137(x94281)+~E(x94282,f2(x94281))+E(f337(f337(f262(x94281),x94282),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f2(x94281))
% 198.12/198.41 [9443]~P137(x94431)+~E(x94432,f337(f80(x94431),f79(x94431)))+E(f337(f337(f262(x94431),x94432),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f79(x94431))
% 198.12/198.41 [9488]~P93(x94881)+E(f337(f106(x94881),x94882),f79(x94881))+~P32(x94881,f337(f106(x94881),f337(f337(f81(a1),x94882),f337(f80(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.12/198.41 [9872]~P116(x98722)+E(x98721,f2(x98722))+P24(f337(f337(f252(x98722),f2(x98722)),f337(f337(f262(x98722),x98721),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.41 [9935]~P116(x99352)+~E(x99351,f2(x99352))+~P24(f337(f337(f252(x99352),f2(x99352)),f337(f337(f262(x99352),x99351),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.12/198.41 [9961]P24(f337(f337(f251(a1),x99611),f2(a1)))+P24(f337(f337(f252(a1),x99612),x99611))+E(f337(f44(x99611),f47(x99612,f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99611))),f47(x99612,x99611))
% 198.12/198.41 [9962]~P24(f337(f337(f252(a1),f2(a1)),x99621))+P24(f337(f337(f252(a1),x99622),x99621))+E(f337(f44(x99621),f47(x99622,f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99621))),f47(x99622,x99621))
% 198.12/198.41 [9963]P24(f337(f337(f251(a1),x99631),f2(a1)))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),x99632),x99631)))+E(f337(f44(x99631),f50(x99632,f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99631))),f50(x99632,x99631))
% 198.12/198.41 [9964]~P24(f337(f337(f252(a1),f2(a1)),x99641))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),x99642),x99641)))+E(f337(f44(x99641),f50(x99642,f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99641))),f50(x99642,x99641))
% 198.12/198.41 [9965]~P142(x99651)+~P24(f337(f337(f251(a1),f2(a1)),x99652))+E(f337(f103(x99651),f337(a107,f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x99652))),f337(f337(f81(x99651),f337(f103(x99651),f337(a107,x99652))),f337(f103(x99651),f337(a107,x99652))))
% 198.12/198.41 [5096]~P144(x50961,x50963,x50962)+~E(x50963,f2(a1))+P24(f337(x50961,x50962))
% 198.12/198.41 [5218]~P105(x52181)+~P30(x52181,x52183)+P30(x52181,f173(x52181,x52182,x52183))
% 198.12/198.41 [5219]~P105(x52191)+~P30(x52191,x52193)+P30(x52191,f180(x52191,x52192,x52193))
% 198.12/198.41 [4797]~P75(x47972)+~E(x47973,f337(f80(x47972),x47971))+E(x47971,f337(f80(x47972),x47973))
% 198.12/198.41 [4799]~P75(x47991)+~E(f337(f80(x47991),x47993),x47992)+E(f337(f80(x47991),x47992),x47993)
% 198.12/198.41 [4874]~P75(x48743)+E(x48741,x48742)+~E(f337(f80(x48743),x48741),f337(f80(x48743),x48742))
% 198.12/198.41 [4875]~P86(x48753)+E(x48751,x48752)+~E(f337(f80(x48753),x48751),f337(f80(x48753),x48752))
% 198.12/198.41 [4876]~P105(x48763)+E(x48761,x48762)+~E(f337(f258(x48763),x48761),f337(f258(x48763),x48762))
% 198.12/198.41 [4877]~P102(x48773)+E(x48771,x48772)+~E(f337(f103(x48773),x48771),f337(f103(x48773),x48772))
% 198.12/198.41 [4878]~P105(x48783)+E(x48781,x48782)+~E(f337(f309(x48783),x48781),f337(f309(x48783),x48782))
% 198.12/198.41 [4879]~P105(x48793)+E(x48791,x48792)+~E(f337(f259(x48793),x48791),f337(f259(x48793),x48792))
% 198.12/198.41 [4880]~P92(x48803)+E(x48801,x48802)+~E(f337(f105(x48803),x48801),f337(f105(x48803),x48802))
% 198.12/198.41 [4881]~P105(x48813)+E(x48811,x48812)+~E(f337(f306(x48813),x48811),f337(f306(x48813),x48812))
% 198.12/198.41 [4982]~P57(x49821)+~P24(f337(x49822,x49823))+P24(f337(f58(x49821),x49822))
% 198.12/198.41 [5015]~P57(x50153)+P24(f337(x50151,x50152))+~P24(f337(f59(x50153),x50151))
% 198.12/198.41 [5115]~P145(x51151,x51152,x51153)+~E(x51152,f2(a1))+P24(f337(x51151,f2(a1)))
% 198.12/198.41 [5153]~E(x51531,f2(a884))+E(f827(x51531,x51532,x51533),f197(f893(x51533,a878)))+~E(f337(f38(x51533),x51532),f337(a115,x51531))
% 198.12/198.41 [5309]~E(x53092,f2(a884))+E(f337(f271(a884,a884),x53091),f2(a884))+~P24(f337(f48(x53093,x53092),x53091))
% 198.12/198.41 [5355]P24(f337(x53551,x53552))+~E(x53553,f337(f103(a1),x53552))+~P24(f337(x53551,f337(a107,x53553)))
% 198.12/198.41 [5828]~E(x58283,f2(a884))+~P24(f337(x58281,x58282))+P24(f337(x58281,f45(a884,x58282,x58283)))
% 198.12/198.41 [5960]~P24(f337(a25,x59603))+~P24(f337(a25,x59602))+P24(f337(a25,f30(x59601,x59602,x59603)))
% 198.12/198.41 [5993]~P57(x59933)+~P7(x59933,x59931,x59932)+P24(f337(x59931,f741(x59932,x59931,x59933)))
% 198.12/198.41 [6052]~P103(x60522)+~P103(x60521)+E(f133(x60521,x60522,f134(x60521,x60523),f134(x60522,x60523)),f134(f892(x60521,x60522),x60523))
% 198.12/198.41 [6238]~E(x62383,f2(a884))+P24(f337(x62381,x62382))+~P24(f337(x62381,f45(a884,x62382,x62383)))
% 198.12/198.41 [6386]~P57(x63861)+P8(x63861,x63862,x63863)+~P24(f337(x63862,f742(x63863,x63862,x63861)))
% 198.12/198.41 [6915]E(x69151,f2(a884))+~P24(f337(x69152,f354(x69151,x69153,x69152)))+P24(f337(x69152,f45(a884,x69153,x69151)))
% 198.12/198.41 [7021]~P28(x70211)+~P24(f337(f337(f251(x70211),x70212),f606(x70213,x70212,x70211)))+P24(f337(f337(f251(x70211),x70212),f41(x70211,x70213)))
% 198.12/198.41 [7023]~P24(f337(x70231,x70232))+~P24(f337(x70231,f354(x70233,x70232,x70231)))+P24(f337(x70231,f45(a884,x70232,x70233)))
% 198.12/198.41 [7127]E(x71271,f116(x71272))+E(f337(f337(f153(x71272),f708(x71273,x71271,x71272)),f717(x71273,x71271,x71272)),x71271)+~P24(f337(f337(f339(f885(x71272)),x71271),f163(x71272,x71273)))
% 198.12/198.41 [7159]~P138(x71591)+~P24(f337(f337(f339(x71591),x71592),f112(x71591)))+P24(f337(f337(f339(x71591),f337(f337(f262(x71591),x71592),x71593)),f112(x71591)))
% 198.12/198.41 [7480]P39(x74801,x74802)+~P24(f337(f337(f339(x74801),x74803),f603(x74802,x74801)))+P24(f337(f337(f339(x74801),f654(x74802,x74801,x74803)),f603(x74802,x74801)))
% 198.12/198.41 [7752]E(x77521,f116(x77522))+~P24(f337(f337(f339(f885(x77522)),x77521),f163(x77522,x77523)))+P24(f337(f337(f339(f885(x77522)),f717(x77523,x77521,x77522)),f163(x77522,x77523)))
% 198.12/198.41 [7805]E(x78051,f2(a884))+E(f337(f337(f81(a884),f337(f337(f82(a884),x78051),f355(x78051,x78052,x78053))),f354(x78051,x78052,x78053)),x78052)+P24(f337(x78053,f45(a884,x78052,x78051)))
% 198.12/198.41 [7848]~P24(f337(x78483,x78482))+E(f337(f337(f81(a884),f337(f337(f82(a884),x78481),f355(x78481,x78482,x78483))),f354(x78481,x78482,x78483)),x78482)+P24(f337(x78483,f45(a884,x78482,x78481)))
% 198.12/198.41 [7985]P24(f337(f337(f252(a1),x79851),f349(x79852,x79853,x79851)))+P24(f337(f337(x79853,f337(f337(f39(a1),x79852),x79851)),f45(a1,x79852,x79851)))+~P24(f337(f337(f252(a1),x79851),f2(a1)))
% 198.12/198.41 [8254]P24(f337(f337(x82542,f337(f337(f39(a1),x82541),x82543)),f45(a1,x82541,x82543)))+~P24(f337(f337(f252(a1),x82543),f2(a1)))+P24(f337(f337(f251(a1),f349(x82541,x82542,x82543)),f2(a1)))
% 198.12/198.41 [8434]E(f337(f337(f81(a1),f337(f337(f82(a1),x84341),f350(x84342,x84343,x84341))),f349(x84342,x84343,x84341)),x84342)+P24(f337(f337(x84343,f337(f337(f39(a1),x84342),x84341)),f45(a1,x84342,x84341)))+~P24(f337(f337(f252(a1),x84341),f2(a1)))
% 198.12/198.41 [8661]~P24(f337(f337(x86611,f350(x86612,x86611,x86613)),f349(x86612,x86611,x86613)))+P24(f337(f337(x86611,f337(f337(f39(a1),x86612),x86613)),f45(a1,x86612,x86613)))+~P24(f337(f337(f252(a1),x86613),f2(a1)))
% 198.12/198.41 [8888]~P105(x88881)+~P30(x88881,x88883)+P30(x88881,f151(x88881,x88881,f5(x88881),x88882,x88883))
% 198.12/198.41 [9379]~P124(x93792)+E(x93791,f2(x93792))+~P24(f337(f337(f251(x93792),f337(f337(f81(x93792),f337(f337(f82(x93792),x93793),x93793)),f337(f337(f82(x93792),x93791),x93791))),f2(x93792)))
% 198.12/198.41 [9380]~P124(x93802)+E(x93801,f2(x93802))+~P24(f337(f337(f251(x93802),f337(f337(f81(x93802),f337(f337(f82(x93802),x93801),x93801)),f337(f337(f82(x93802),x93803),x93803))),f2(x93802)))
% 198.12/198.41 [10152]~P116(x101521)+~P24(f337(f337(f252(x101521),x101522),f2(x101521)))+P24(f337(f337(f252(x101521),f337(f337(f262(x101521),x101522),f337(a115,f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x101523)))),f2(x101521)))
% 198.12/198.41 [10160]~P116(x101602)+E(x101601,f2(x101602))+~P24(f337(f337(f251(x101602),f337(f337(f81(x101602),f337(f337(f262(x101602),x101603),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101602),x101601),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f2(x101602)))
% 198.12/198.41 [10161]~P116(x101612)+E(x101611,f2(x101612))+~P24(f337(f337(f251(x101612),f337(f337(f81(x101612),f337(f337(f262(x101612),x101611),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101612),x101613),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f2(x101612)))
% 198.12/198.41 [4831]~E(x48312,x48313)+~P67(x48311)+E(f337(f337(f22(x48311),x48312),x48313),f2(x48311))
% 198.12/198.41 [4832]~E(x48322,x48323)+~P75(x48321)+E(f337(f337(f22(x48321),x48322),x48323),f2(x48321))
% 198.12/198.41 [4845]~P140(x48451)+~E(x48453,f2(x48451))+E(f337(f337(f81(x48451),x48452),x48453),x48452)
% 198.12/198.41 [4860]~P139(x48601)+~E(x48603,f2(x48601))+E(f337(f337(f82(x48601),x48602),x48603),f2(x48601))
% 198.12/198.41 [4861]~P139(x48611)+~E(x48612,f2(x48611))+E(f337(f337(f82(x48611),x48612),x48613),f2(x48611))
% 198.12/198.41 [4883]~E(x48833,f116(x48831))+~E(x48832,f116(x48831))+E(f337(f337(f136(x48831),x48832),x48833),f116(x48831))
% 198.12/198.41 [4972]~P140(x49722)+E(x49721,f2(x49722))+~E(f337(f337(f81(x49722),x49723),x49721),x49723)
% 198.12/198.41 [4973]~P75(x49731)+~E(x49732,f337(f80(x49731),x49733))+E(f337(f337(f81(x49731),x49732),x49733),f2(x49731))
% 198.12/198.41 [4980]E(x49801,f116(x49802))+E(x49803,f2(a884))+~E(f337(f337(f178(x49802),x49803),x49801),f116(x49802))
% 198.12/198.41 [4986]~P67(x49863)+E(x49861,x49862)+~E(f337(f337(f22(x49863),x49861),x49862),f2(x49863))
% 198.12/198.41 [4987]~P75(x49873)+E(x49871,x49872)+~E(f337(f337(f22(x49873),x49871),x49872),f2(x49873))
% 198.12/198.41 [4996]~P137(x49962)+E(x49961,f2(x49962))+~E(f337(f337(f262(x49962),x49961),x49963),f2(x49962))
% 198.12/198.41 [4997]~P65(x49972)+E(x49971,f197(x49972))+~E(f337(f337(f113(x49972),x49973),x49971),f197(x49972))
% 198.12/198.41 [4998]~P65(x49982)+E(x49981,f197(x49982))+~E(f337(f337(f113(x49982),x49981),x49983),f197(x49982))
% 198.12/198.41 [4999]~P99(x49992)+E(x49991,f260(x49992))+~E(f337(f337(f104(x49992),x49993),x49991),f260(x49992))
% 198.12/198.41 [5000]~P99(x50002)+E(x50001,f260(x50002))+~E(f337(f337(f104(x50002),x50001),x50003),f260(x50002))
% 198.12/198.41 [5066]~P75(x50662)+E(x50661,f337(f80(x50662),x50663))+~E(f337(f337(f81(x50662),x50661),x50663),f2(x50662))
% 198.12/198.41 [5067]~P75(x50671)+E(f337(f80(x50671),x50672),x50673)+~E(f337(f337(f81(x50671),x50672),x50673),f2(x50671))
% 198.12/198.41 [5069]~E(x50692,x50693)+~P62(x50691)+P24(f337(f337(f251(x50691),x50692),x50693))
% 198.12/198.41 [5071]~E(x50712,x50713)+~P106(x50711)+P24(f337(f337(f251(x50711),x50712),x50713))
% 198.12/198.41 [5072]~E(x50722,x50723)+~P95(x50721)+P24(f337(f337(f92(x50721),x50722),x50723))
% 198.12/198.41 [5169]~P117(x51691)+~E(x51692,f337(f80(x51691),x51693))+E(f337(f337(f82(x51691),x51692),x51692),f337(f337(f82(x51691),x51693),x51693))
% 198.12/198.41 [5177]~P105(x51771)+~P30(x51771,x51773)+P30(x51771,f337(f337(f178(x51771),x51772),x51773))
% 198.12/198.41 [5178]~P105(x51781)+~P30(x51781,x51783)+P30(x51781,f337(f337(f140(x51781),x51782),x51783))
% 198.12/198.41 [5216]E(x52161,x52162)+E(x52163,f2(a884))+~E(f337(f337(f82(a884),x52163),x52161),f337(f337(f82(a884),x52163),x52162))
% 198.12/198.41 [5217]E(x52171,x52172)+E(x52173,f2(a884))+~E(f337(f337(f82(a884),x52171),x52173),f337(f337(f82(a884),x52172),x52173))
% 198.12/198.41 [5300]~E(x53002,x53003)+~P106(x53001)+E(f308(x53001,x53002,x53003),f337(f337(f315(x53001),x53002),f197(f893(x53001,a878))))
% 198.12/198.41 [5342]E(x53421,x53422)+~P95(x53423)+~P24(f337(f337(f92(x53423),x53421),x53422))
% 198.12/198.41 [5353]~E(x53531,x53532)+~P105(x53533)+~P24(f337(f337(f252(x53533),x53531),x53532))
% 198.12/198.41 [5354]~E(x53541,x53542)+~P106(x53543)+~P24(f337(f337(f252(x53543),x53541),x53542))
% 198.12/198.41 [5364]~P106(x53641)+E(f337(f307(x53641,x53642),x53643),f197(f893(x53641,a878)))+P24(f337(f337(f252(x53641),x53642),x53643))
% 198.12/198.41 [5411]~P106(x54111)+E(f308(x54111,x54112,x54113),f197(f893(x54111,a878)))+P24(f337(f337(f251(x54111),x54112),x54113))
% 198.12/198.41 [5412]~P106(x54121)+E(f310(x54121,x54122,x54123),f197(f893(x54121,a878)))+P24(f337(f337(f252(x54121),x54122),x54123))
% 198.12/198.41 [5413]~P106(x54131)+E(f197(f893(x54131,a878)),f308(x54131,x54132,x54133))+P24(f337(f337(f251(x54131),x54132),x54133))
% 198.12/198.41 [5414]~P106(x54141)+E(f197(f893(x54141,a878)),f310(x54141,x54142,x54143))+P24(f337(f337(f252(x54141),x54142),x54143))
% 198.12/198.41 [5422]~P100(x54221)+~E(f337(f337(f113(x54221),x54222),x54223),x54223)+P24(f337(f337(f251(x54221),x54222),x54223))
% 198.12/198.41 [5423]~P101(x54231)+~E(f337(f337(f104(x54231),x54232),x54233),x54232)+P24(f337(f337(f251(x54231),x54232),x54233))
% 198.12/198.41 [5424]~P105(x54241)+~E(f337(f337(f249(x54241),x54242),x54243),x54242)+P24(f337(f337(f251(x54241),x54242),x54243))
% 198.12/198.41 [5425]~P105(x54251)+~E(f337(f337(f250(x54251),x54252),x54253),x54253)+P24(f337(f337(f251(x54251),x54252),x54253))
% 198.12/198.41 [5445]~P105(x54451)+P30(x54451,x54452)+~P30(x54451,f337(f337(f153(x54451),x54453),x54452))
% 198.12/198.41 [5446]~P105(x54461)+P30(x54461,x54462)+~P30(x54461,f337(f337(f136(x54461),x54463),x54462))
% 198.12/198.41 [5447]~P105(x54471)+P30(x54471,x54472)+~P30(x54471,f337(f337(f136(x54471),x54472),x54473))
% 198.12/198.41 [5512]~P105(x55121)+P24(f337(f337(f251(x55121),x55123),x55122))+P24(f337(f337(f251(x55121),x55122),x55123))
% 198.12/198.41 [5517]~P105(x55171)+P24(f337(f337(f252(x55171),x55173),x55172))+P24(f337(f337(f251(x55171),x55172),x55173))
% 198.12/198.41 [5555]~P100(x55551)+E(f337(f337(f113(x55551),x55552),x55553),x55552)+~P24(f337(f337(f251(x55551),x55553),x55552))
% 198.12/198.41 [5557]~P100(x55571)+E(f337(f337(f113(x55571),x55572),x55573),x55573)+~P24(f337(f337(f251(x55571),x55572),x55573))
% 198.12/198.41 [5558]~P101(x55581)+E(f337(f337(f104(x55581),x55582),x55583),x55583)+~P24(f337(f337(f251(x55581),x55583),x55582))
% 198.12/198.41 [5560]~P101(x55601)+E(f337(f337(f104(x55601),x55602),x55603),x55602)+~P24(f337(f337(f251(x55601),x55602),x55603))
% 198.12/198.41 [5561]~P105(x55611)+E(f337(f337(f249(x55611),x55612),x55613),x55613)+~P24(f337(f337(f251(x55611),x55613),x55612))
% 198.12/198.41 [5563]~P105(x55631)+E(f337(f337(f249(x55631),x55632),x55633),x55632)+~P24(f337(f337(f251(x55631),x55632),x55633))
% 198.12/198.41 [5564]~P105(x55641)+E(f337(f337(f250(x55641),x55642),x55643),x55642)+~P24(f337(f337(f251(x55641),x55643),x55642))
% 198.12/198.41 [5566]~P105(x55661)+E(f337(f337(f250(x55661),x55662),x55663),x55663)+~P24(f337(f337(f251(x55661),x55662),x55663))
% 198.12/198.41 [5573]~P118(x55732)+E(x55731,f2(x55732))+E(f337(f337(f295(x55732),f337(f80(x55732),x55733)),f337(f80(x55732),x55731)),f337(f337(f295(x55732),x55733),x55731))
% 198.12/198.41 [5620]~P106(x56201)+E(f337(f307(x56201,x56202),x56203),f197(f893(x56201,a878)))+~P24(f337(f337(f251(x56201),x56203),x56202))
% 198.12/198.41 [5652]~P106(x56521)+E(f308(x56521,x56522,x56523),f197(f893(x56521,a878)))+~P24(f337(f337(f252(x56521),x56523),x56522))
% 198.12/198.41 [5653]~P106(x56531)+E(f311(x56531,x56532,x56533),f197(f893(x56531,a878)))+~P24(f337(f337(f251(x56531),x56533),x56532))
% 198.12/198.41 [5654]~P106(x56541)+E(f310(x56541,x56542,x56543),f197(f893(x56541,a878)))+~P24(f337(f337(f251(x56541),x56543),x56542))
% 198.12/198.41 [5705]~E(f337(f337(f22(a884),x57051),x57053),x57052)+E(x57051,f337(f337(f81(a884),x57052),x57053))+~P24(f337(f337(f251(a884),x57053),x57051))
% 198.12/198.41 [5706]~E(x57061,f337(f337(f81(a884),x57063),x57062))+E(f337(f337(f22(a884),x57061),x57062),x57063)+~P24(f337(f337(f251(a884),x57062),x57061))
% 198.12/198.41 [5752]~P24(f337(x57521,x57523))+P24(f337(x57521,f365(x57521,x57522)))+~P24(f337(f337(f251(a884),x57523),x57522))
% 198.12/198.41 [5753]~P24(f337(x57531,x57533))+P24(f337(x57531,f373(x57531,x57532)))+~P24(f337(f337(f252(a884),x57533),x57532))
% 198.12/198.41 [5761]~P106(x57611)+~E(f337(f307(x57611,x57612),x57613),f197(f893(x57611,a878)))+~P24(f337(f337(f252(x57611),x57612),x57613))
% 198.12/198.41 [5766]~P62(x57661)+~P24(f337(f337(f252(x57661),x57662),x57663))+P24(f337(f337(f251(x57661),x57662),x57663))
% 198.12/198.41 [5768]~P106(x57681)+~P24(f337(f337(f252(x57681),x57682),x57683))+P24(f337(f337(f251(x57681),x57682),x57683))
% 198.12/198.41 [5877]~P106(x58771)+~E(f308(x58771,x58772,x58773),f197(f893(x58771,a878)))+~P24(f337(f337(f251(x58771),x58772),x58773))
% 198.12/198.41 [5878]~P106(x58781)+~E(f310(x58781,x58782,x58783),f197(f893(x58781,a878)))+~P24(f337(f337(f252(x58781),x58782),x58783))
% 198.12/198.41 [5879]~P106(x58791)+~E(f197(f893(x58791,a878)),f308(x58791,x58792,x58793))+~P24(f337(f337(f251(x58791),x58792),x58793))
% 198.12/198.41 [5880]~P106(x58801)+~E(f197(f893(x58801,a878)),f310(x58801,x58802,x58803))+~P24(f337(f337(f252(x58801),x58802),x58803))
% 198.12/198.41 [5888]P24(f337(x58881,x58882))+~P24(f337(x58881,f367(x58881,x58883)))+~P24(f337(f337(f251(a884),x58882),x58883))
% 198.12/198.41 [5889]P24(f337(x58891,x58892))+~P24(f337(x58891,f375(x58891,x58893)))+~P24(f337(f337(f252(a884),x58892),x58893))
% 198.12/198.41 [5897]~E(x58971,f337(a115,x58973))+P24(f337(f337(f252(a884),x58971),f337(a115,x58972)))+~P24(f337(f337(f252(a884),x58973),x58972))
% 198.12/198.41 [5913]E(x59131,x59132)+~E(f337(f337(f82(a884),x59133),x59131),f337(f337(f82(a884),x59133),x59132))+~P24(f337(f337(f252(a884),f2(a884)),x59133))
% 198.12/198.41 [5971]E(f337(x59711,f848(x59711,x59712,x59713)),f79(a884))+~E(f337(f337(f6(x59713,a884),x59711),x59712),f79(a884))+~P24(f337(f62(x59713),x59712))
% 198.12/198.41 [5984]~P28(x59841)+P24(f337(f337(f251(x59841),x59842),f40(x59841,x59843)))+~P24(f337(f337(f339(x59841),x59842),x59843))
% 198.12/198.41 [6010]~P62(x60101)+~P24(f337(f337(f252(x60101),x60103),x60102))+~P24(f337(f337(f251(x60101),x60102),x60103))
% 198.12/198.41 [6014]~P62(x60141)+~P24(f337(f337(f252(x60141),x60143),x60142))+~P24(f337(f337(f252(x60141),x60142),x60143))
% 198.12/198.41 [6017]~P105(x60171)+~P24(f337(f337(f252(x60171),x60173),x60172))+~P24(f337(f337(f251(x60171),x60172),x60173))
% 198.12/198.41 [6018]~P105(x60181)+~P24(f337(f337(f252(x60181),x60183),x60182))+~P24(f337(f337(f252(x60181),x60182),x60183))
% 198.12/198.41 [6019]~P106(x60191)+~P24(f337(f337(f252(x60191),x60193),x60192))+~P24(f337(f337(f252(x60191),x60192),x60193))
% 198.12/198.41 [6044]~E(f337(x60442,f849(x60442,x60443,x60441)),f2(a884))+E(f337(f337(f6(x60441,a884),x60442),x60443),f2(a884))+~P24(f337(f62(x60441),x60443))
% 198.12/198.41 [6045]~E(f337(x60452,f831(x60452,x60453,x60451)),f79(a884))+E(f337(f337(f9(x60451,a884),x60452),x60453),f79(a884))+~P24(f337(f62(x60451),x60453))
% 198.12/198.41 [6061]~P107(x60611)+~P24(f337(f337(f252(x60611),x60613),x60612))+P24(f337(f337(f339(x60611),x60612),f337(f309(x60611),x60613)))
% 198.12/198.41 [6062]~P107(x60621)+~P24(f337(f337(f251(x60621),x60623),x60622))+P24(f337(f337(f339(x60621),x60622),f337(f259(x60621),x60623)))
% 198.12/198.41 [6063]~P107(x60631)+~P24(f337(f337(f252(x60631),x60632),x60633))+P24(f337(f337(f339(x60631),x60632),f337(f258(x60631),x60633)))
% 198.12/198.41 [6064]~P107(x60641)+~P24(f337(f337(f251(x60641),x60642),x60643))+P24(f337(f337(f339(x60641),x60642),f337(f306(x60641),x60643)))
% 198.12/198.41 [6076]E(f337(x60761,f850(x60761,x60762,x60763)),f337(a115,f2(a884)))+~E(f337(f337(f6(x60763,a884),x60761),x60762),f337(a115,f2(a884)))+~P24(f337(f62(x60763),x60762))
% 198.12/198.41 [6159]~P28(x61591)+~P24(f337(f337(f339(x61591),x61593),x61592))+P24(f337(f337(f251(x61591),f41(x61591,x61592)),x61593))
% 198.12/198.41 [6176]~P24(f337(f337(f251(a884),x61761),x61763))+P24(f337(f337(f251(a884),x61761),x61762))+~P24(f337(f337(f251(a884),x61763),x61762))
% 198.12/198.41 [6177]~P24(f337(f337(f251(a1),x61771),x61773))+P24(f337(f337(f251(a1),x61771),x61772))+~P24(f337(f337(f251(a1),x61773),x61772))
% 198.12/198.41 [6196]~P107(x61961)+~P24(f337(f337(f339(x61961),x61963),f337(f259(x61961),x61962)))+P24(f337(f337(f251(x61961),x61962),x61963))
% 198.12/198.41 [6197]~P107(x61971)+~P24(f337(f337(f339(x61971),x61972),f337(f306(x61971),x61973)))+P24(f337(f337(f251(x61971),x61972),x61973))
% 198.12/198.41 [6198]~P107(x61981)+~P24(f337(f337(f339(x61981),x61983),f337(f309(x61981),x61982)))+P24(f337(f337(f252(x61981),x61982),x61983))
% 198.12/198.41 [6199]~P107(x61991)+~P24(f337(f337(f339(x61991),x61992),f337(f258(x61991),x61993)))+P24(f337(f337(f252(x61991),x61992),x61993))
% 198.12/198.41 [6420]~P60(x64201)+P24(f337(f337(f252(x64201),f2(x64201)),f867(x64203,x64202,x64201)))+P24(f337(f337(f251(x64201),x64202),x64203))
% 198.12/198.41 [6421]~P61(x64211)+P24(f337(f337(f252(x64211),f2(x64211)),f799(x64213,x64212,x64211)))+P24(f337(f337(f251(x64211),x64212),x64213))
% 198.12/198.41 [6489]~P78(x64891)+~P24(f337(f337(f251(x64891),x64893),f337(f80(x64891),x64892)))+P24(f337(f337(f251(x64891),x64892),f337(f80(x64891),x64893)))
% 198.12/198.41 [6491]~P78(x64911)+~P24(f337(f337(f252(x64911),x64913),f337(f80(x64911),x64912)))+P24(f337(f337(f252(x64911),x64912),f337(f80(x64911),x64913)))
% 198.12/198.41 [6503]~P24(f337(f337(f252(a884),x65031),x65033))+~P24(f337(f337(f252(a884),x65033),x65032))+P24(f337(f337(f252(a884),f337(a115,x65031)),x65032))
% 198.12/198.41 [6529]~P122(x65291)+P24(f337(f337(f251(x65291),f337(f103(x65291),x65292)),f337(f103(x65291),x65293)))+~P24(f337(f337(f251(a884),x65292),x65293))
% 198.12/198.41 [6530]~P116(x65301)+P24(f337(f337(f251(x65301),f337(f105(x65301),x65302)),f337(f105(x65301),x65303)))+~P24(f337(f337(f251(a1),x65302),x65303))
% 198.12/198.41 [6532]~P116(x65321)+P24(f337(f337(f252(x65321),f337(f105(x65321),x65322)),f337(f105(x65321),x65323)))+~P24(f337(f337(f252(a1),x65322),x65323))
% 198.12/198.41 [6533]~P122(x65331)+P24(f337(f337(f252(x65331),f337(f103(x65331),x65332)),f337(f103(x65331),x65333)))+~P24(f337(f337(f252(a884),x65332),x65333))
% 198.12/198.41 [6539]~P105(x65391)+E(f337(f337(f113(f893(x65391,a878)),f337(f258(x65391),x65392)),f337(f307(x65391,x65392),x65393)),f337(f258(x65391),x65393))+~P24(f337(f337(f251(x65391),x65392),x65393))
% 198.12/198.41 [6571]~P78(x65711)+~P24(f337(f337(f251(x65711),x65713),x65712))+P24(f337(f337(f251(x65711),f337(f80(x65711),x65712)),f337(f80(x65711),x65713)))
% 198.12/198.41 [6573]~P86(x65731)+~P24(f337(f337(f251(x65731),x65733),x65732))+P24(f337(f337(f251(x65731),f337(f80(x65731),x65732)),f337(f80(x65731),x65733)))
% 198.12/198.41 [6574]~P78(x65741)+~P24(f337(f337(f252(x65741),x65743),x65742))+P24(f337(f337(f252(x65741),f337(f80(x65741),x65742)),f337(f80(x65741),x65743)))
% 198.12/198.41 [6607]~P105(x66071)+E(f337(f337(f113(f893(x66071,a878)),f337(f258(x66071),x66072)),f308(x66071,x66072,x66073)),f337(f306(x66071),x66073))+~P24(f337(f337(f251(x66071),x66072),x66073))
% 198.12/198.41 [6608]~P105(x66081)+E(f337(f337(f113(f893(x66081,a878)),f337(f306(x66081),x66082)),f311(x66081,x66082,x66083)),f337(f258(x66081),x66083))+~P24(f337(f337(f252(x66081),x66082),x66083))
% 198.12/198.41 [6609]~P105(x66091)+E(f337(f337(f113(f893(x66091,a878)),f337(f306(x66091),x66092)),f310(x66091,x66092,x66093)),f337(f306(x66091),x66093))+~P24(f337(f337(f251(x66091),x66092),x66093))
% 198.12/198.41 [6643]~P105(x66431)+E(f337(f337(f113(f893(x66431,a878)),f337(f307(x66431,x66432),x66433)),f337(f259(x66431),x66433)),f337(f259(x66431),x66432))+~P24(f337(f337(f251(x66431),x66432),x66433))
% 198.12/198.41 [6797]~P105(x67971)+E(f337(f337(f113(f893(x67971,a878)),f308(x67971,x67972,x67973)),f337(f309(x67971),x67973)),f337(f259(x67971),x67972))+~P24(f337(f337(f251(x67971),x67972),x67973))
% 198.12/198.41 [6798]~P105(x67981)+E(f337(f337(f113(f893(x67981,a878)),f311(x67981,x67982,x67983)),f337(f259(x67981),x67983)),f337(f309(x67981),x67982))+~P24(f337(f337(f252(x67981),x67982),x67983))
% 198.12/198.41 [6799]~P105(x67991)+E(f337(f337(f113(f893(x67991,a878)),f310(x67991,x67992,x67993)),f337(f309(x67991),x67993)),f337(f309(x67991),x67992))+~P24(f337(f337(f251(x67991),x67992),x67993))
% 198.12/198.41 [6817]P24(f337(x68171,x68172))+~P24(f337(f337(f251(a884),x68172),x68173))+P24(f337(f337(f339(a884),f367(x68171,x68173)),f308(a884,f2(a884),x68173)))
% 198.12/198.41 [6851]E(x68511,x68512)+~E(f337(f337(f167(x68513),x68511),f684(x68513,x68512,x68511)),f337(f337(f167(x68513),x68512),f684(x68513,x68512,x68511)))+~E(f337(f198(f885(x68513)),x68511),f337(f198(f885(x68513)),x68512))
% 198.12/198.41 [6856]~E(x68563,f337(f337(f39(a884),x68561),x68562))+~P24(f337(f337(f252(a884),f2(a884)),x68562))+P24(f337(f337(f252(a884),x68561),f337(f337(f82(a884),x68562),f337(a115,x68563))))
% 198.12/198.41 [6873]~P24(f337(x68731,x68733))+~P24(f337(f337(f251(a884),x68733),x68732))+P24(f337(f337(f339(a884),f365(x68731,x68732)),f308(a884,f2(a884),x68732)))
% 198.12/198.41 [6912]~P24(f337(x69121,x69123))+P24(f337(x69121,f374(x69121,x69122)))+~P24(f337(f337(f339(a884),x69123),f308(a884,f2(a884),x69122)))
% 198.12/198.41 [6931]~P122(x69313)+~P24(f337(f337(f251(x69313),f337(f103(x69313),x69311)),f337(f103(x69313),x69312)))+P24(f337(f337(f251(a884),x69311),x69312))
% 198.12/198.41 [6932]~P116(x69323)+~P24(f337(f337(f251(x69323),f337(f105(x69323),x69321)),f337(f105(x69323),x69322)))+P24(f337(f337(f251(a1),x69321),x69322))
% 198.12/198.41 [6934]~P122(x69343)+~P24(f337(f337(f252(x69343),f337(f103(x69343),x69341)),f337(f103(x69343),x69342)))+P24(f337(f337(f252(a884),x69341),x69342))
% 198.12/198.41 [6935]~P116(x69353)+~P24(f337(f337(f252(x69353),f337(f105(x69353),x69351)),f337(f105(x69353),x69352)))+P24(f337(f337(f252(a1),x69351),x69352))
% 198.12/198.41 [6952]~P122(x69521)+~P24(f337(f337(f252(x69521),f79(x69521)),x69522))+P24(f337(f337(f252(x69521),f79(x69521)),f337(f337(f262(x69521),x69522),f337(a115,x69523))))
% 198.12/198.41 [6954]~P78(x69541)+~P24(f337(f337(f251(x69541),f337(f80(x69541),x69543)),f337(f80(x69541),x69542)))+P24(f337(f337(f251(x69541),x69542),x69543))
% 198.12/198.41 [6955]~P86(x69551)+~P24(f337(f337(f251(x69551),f337(f80(x69551),x69553)),f337(f80(x69551),x69552)))+P24(f337(f337(f251(x69551),x69552),x69553))
% 198.12/198.41 [6956]~P78(x69561)+~P24(f337(f337(f252(x69561),f337(f80(x69561),x69563)),f337(f80(x69561),x69562)))+P24(f337(f337(f252(x69561),x69562),x69563))
% 198.12/198.41 [6980]P24(f337(x69801,x69802))+~P24(f337(x69801,f369(x69801,x69803)))+~P24(f337(f337(f339(a884),x69802),f308(a884,f2(a884),x69803)))
% 198.12/198.41 [6999]~P60(x69991)+P24(f337(f337(f252(x69991),f867(x69993,x69992,x69991)),f79(x69991)))+P24(f337(f337(f251(x69991),x69992),x69993))
% 198.12/198.41 [7018]~E(f45(a884,x70183,x70182),f45(a884,x70181,x70182))+E(f337(f337(f81(a884),x70181),f337(f337(f82(a884),x70182),f455(x70181,x70182,x70183))),x70183)+~P24(f337(f337(f251(a884),x70181),x70183))
% 198.12/198.41 [7037]E(f337(x70371,f356(x70371,x70372,x70373)),f210(x70372))+~P24(f337(f62(x70373),f187(x70373,x70372,x70371)))+P24(f337(f62(x70373),f260(f893(x70373,a878))))
% 198.12/198.41 [7077]E(f337(f337(f6(x70771,a884),x70772),x70773),f2(a884))+~P24(f337(f62(x70771),x70773))+P24(f337(f337(f339(x70771),f849(x70772,x70773,x70771)),x70773))
% 198.12/198.41 [7078]E(f337(f337(f9(x70781,a884),x70782),x70783),f79(a884))+~P24(f337(f62(x70781),x70783))+P24(f337(f337(f339(x70781),f831(x70782,x70783,x70781)),x70783))
% 198.12/198.41 [7100]~P105(x71001)+~P24(f337(f337(f251(x71001),x71002),x71003))+P24(f337(f337(f251(f893(x71001,a878)),f337(f258(x71001),x71002)),f337(f258(x71001),x71003)))
% 198.12/198.41 [7101]~P105(x71011)+~P24(f337(f337(f251(x71011),x71013),x71012))+P24(f337(f337(f251(f893(x71011,a878)),f337(f309(x71011),x71012)),f337(f309(x71011),x71013)))
% 198.12/198.41 [7102]~P106(x71021)+~P24(f337(f337(f251(x71021),x71023),x71022))+P24(f337(f337(f251(f893(x71021,a878)),f337(f259(x71021),x71022)),f337(f259(x71021),x71023)))
% 198.12/198.41 [7103]~P106(x71031)+~P24(f337(f337(f251(x71031),x71032),x71033))+P24(f337(f337(f251(f893(x71031,a878)),f337(f306(x71031),x71032)),f337(f306(x71031),x71033)))
% 198.12/198.41 [7104]~P105(x71041)+~P24(f337(f337(f252(x71041),x71042),x71043))+P24(f337(f337(f252(f893(x71041,a878)),f337(f258(x71041),x71042)),f337(f258(x71041),x71043)))
% 198.12/198.41 [7113]~P28(x71131)+P24(f337(f337(f251(x71131),x71132),f41(x71131,x71133)))+P24(f337(f337(f339(x71131),f606(x71133,x71132,x71131)),x71133))
% 198.12/198.41 [7119]~P78(x71191)+P24(f337(f337(f251(x71191),f337(f337(f22(x71191),x71192),x71193)),f2(x71191)))+~P24(f337(f337(f251(x71191),x71192),x71193))
% 198.12/198.41 [7120]~P78(x71201)+P24(f337(f337(f252(x71201),f337(f337(f22(x71201),x71202),x71203)),f2(x71201)))+~P24(f337(f337(f252(x71201),x71202),x71203))
% 198.12/198.41 [7162]P24(f337(x71621,x71622))+P24(f337(f337(f251(a884),f369(x71621,x71623)),x71623))+~P24(f337(f337(f339(a884),x71622),f308(a884,f2(a884),x71623)))
% 198.12/198.41 [7202]~E(f337(f337(f6(x72021,a884),x72022),x72023),f79(a884))+~P24(f337(f62(x72021),x72023))+P24(f337(f337(f339(x72021),f848(x72022,x72023,x72021)),x72023))
% 198.12/198.41 [7203]~P24(f337(x72031,x72033))+P24(f337(f337(f251(a884),f374(x72031,x72032)),x72032))+~P24(f337(f337(f339(a884),x72033),f308(a884,f2(a884),x72032)))
% 198.12/198.41 [7244]~P28(x72441)+P24(f337(f337(f339(x72441),f631(x72443,x72442,x72441)),x72442))+P24(f337(f337(f251(x72441),f40(x72441,x72442)),x72443))
% 198.12/198.41 [7275]~E(f337(f337(f6(x72751,a884),x72752),x72753),f337(a115,f2(a884)))+~P24(f337(f62(x72751),x72753))+P24(f337(f337(f339(x72751),f850(x72752,x72753,x72751)),x72753))
% 198.12/198.41 [7286]E(x72861,f2(a884))+P24(f337(x72862,f45(a884,x72863,x72861)))+P24(f337(f337(f252(a884),f354(x72861,x72863,x72862)),x72861))
% 198.12/198.41 [7394]~P24(f337(x73941,x73942))+P24(f337(x73941,f45(a884,x73942,x73943)))+P24(f337(f337(f252(a884),f354(x73943,x73942,x73941)),x73943))
% 198.12/198.41 [7514]E(x75141,f116(x75142))+~P24(f337(f337(f339(f885(x75142)),x75141),f163(x75142,x75143)))+P24(f337(f337(f339(x75142),f708(x75143,x75141,x75142)),x75143))
% 198.12/198.41 [7536]~P105(x75361)+E(f337(f337(f113(f893(x75361,a878)),f337(f337(f315(x75361),x75362),f197(f893(x75361,a878)))),f311(x75361,x75362,x75363)),f337(f307(x75361,x75362),x75363))+~P24(f337(f337(f252(x75361),x75362),x75363))
% 198.12/198.41 [7562]~P105(x75621)+E(f337(f337(f113(f893(x75621,a878)),f337(f337(f315(x75621),x75622),f197(f893(x75621,a878)))),f310(x75621,x75622,x75623)),f308(x75621,x75622,x75623))+~P24(f337(f337(f251(x75621),x75622),x75623))
% 198.12/198.41 [7670]~P105(x76701)+P24(f337(f337(f251(x76701),x76702),x76703))+~P24(f337(f337(f251(f893(x76701,a878)),f337(f309(x76701),x76703)),f337(f309(x76701),x76702)))
% 198.12/198.41 [7671]~P106(x76711)+P24(f337(f337(f251(x76711),x76712),x76713))+~P24(f337(f337(f251(f893(x76711,a878)),f337(f259(x76711),x76713)),f337(f259(x76711),x76712)))
% 198.12/198.41 [7672]~P105(x76721)+P24(f337(f337(f251(x76721),x76722),x76723))+~P24(f337(f337(f251(f893(x76721,a878)),f337(f258(x76721),x76722)),f337(f258(x76721),x76723)))
% 198.12/198.41 [7673]~P106(x76731)+P24(f337(f337(f251(x76731),x76732),x76733))+~P24(f337(f337(f251(f893(x76731,a878)),f337(f306(x76731),x76732)),f337(f306(x76731),x76733)))
% 198.12/198.41 [7674]~P105(x76741)+P24(f337(f337(f252(x76741),x76742),x76743))+~P24(f337(f337(f252(f893(x76741,a878)),f337(f258(x76741),x76742)),f337(f258(x76741),x76743)))
% 198.12/198.41 [7697]~P78(x76971)+~P24(f337(f337(f251(x76971),f337(f337(f22(x76971),x76972),x76973)),f2(x76971)))+P24(f337(f337(f251(x76971),x76972),x76973))
% 198.12/198.41 [7698]~P78(x76981)+~P24(f337(f337(f252(x76981),f337(f337(f22(x76981),x76982),x76983)),f2(x76981)))+P24(f337(f337(f252(x76981),x76982),x76983))
% 198.12/198.41 [7855]E(x78551,f2(a884))+~E(f337(f144(a884,a884,f81(a884),x78552),x78553),f2(a884))+~P24(f337(f337(f339(a884),x78551),f337(f175(a884),x78553)))
% 198.12/198.41 [7859]~P28(x78591)+~P24(f337(f337(f251(x78591),f631(x78593,x78592,x78591)),x78593))+P24(f337(f337(f251(x78591),f40(x78591,x78592)),x78593))
% 198.12/198.41 [8012]P24(f337(f337(f251(a1),f2(a1)),f875(x80121,x80122,x80123)))+P24(f337(f337(x80122,f337(f337(f39(a1),x80121),x80123)),f45(a1,x80121,x80123)))+~P24(f337(f337(f252(a1),f2(a1)),x80123))
% 198.12/198.41 [8099]E(x80991,x80992)+~E(f337(f198(f885(x80993)),x80991),f337(f198(f885(x80993)),x80992))+~P24(f337(f337(f276(x80993,x80993,a878),a334),f672(x80993,x80991,x80992)))
% 198.12/198.41 [8166]~P39(x81662,x81663)+E(x81661,f197(f893(x81662,a878)))+~P24(f337(f337(f251(f893(x81662,a878)),x81661),f337(f291(x81662,x81662,x81663),x81661)))
% 198.12/198.41 [8195]~P61(x81951)+~P24(f337(f337(f251(x81951),x81952),f337(f337(f81(x81951),x81953),f799(x81953,x81952,x81951))))+P24(f337(f337(f251(x81951),x81952),x81953))
% 198.12/198.41 [8235]P41(x82351,x82352,x82353)+P24(f337(f337(f339(x82351),f551(x82353,x82352,x82351)),x82352))+P24(f337(f337(f339(f892(x82351,x82351)),f552(x82353,x82352,x82351)),x82353))
% 198.12/198.41 [8258]P24(f337(f337(x82582,f337(f337(f39(a1),x82581),x82583)),f45(a1,x82581,x82583)))+~P24(f337(f337(f252(a1),f2(a1)),x82583))+P24(f337(f337(f252(a1),f875(x82581,x82582,x82583)),x82583))
% 198.12/198.41 [8282]E(f337(f316(a884,a884,f337(f337(f7(a884,a884,a884),f22(a884)),x82821)),f337(f307(a884,x82822),x82823)),f197(f893(a884,a878)))+P24(f337(f337(f252(a884),x82821),x82823))+P24(f337(f337(f252(a884),x82822),x82823))
% 198.12/198.41 [8387]E(f337(f316(a884,a884,f337(f337(f7(a884,a884,a884),f22(a884)),x83871)),f337(f307(a884,x83872),x83873)),f337(f337(f315(a884),f2(a884)),f197(f893(a884,a878))))+P24(f337(f337(f252(a884),x83871),x83873))+~P24(f337(f337(f252(a884),x83872),x83873))
% 198.12/198.41 [8404]~P105(x84041)+E(f151(x84041,x84041,f5(x84041),x84042,x84043),x84043)+~P24(f337(f337(f339(x84041),x84042),f337(f175(x84041),x84043)))
% 198.12/198.41 [8418]P21(x84181,x84181,x84182,x84183)+~P24(f337(f62(x84181),x84183))+~P24(f337(f337(f251(f893(x84181,a878)),x84183),f337(f316(x84181,x84181,x84182),x84183)))
% 198.12/198.41 [8441]E(f337(f337(f81(a1),f337(f337(f82(a1),x84411),f876(x84412,x84413,x84411))),f875(x84412,x84413,x84411)),x84412)+P24(f337(f337(x84413,f337(f337(f39(a1),x84412),x84411)),f45(a1,x84412,x84411)))+~P24(f337(f337(f252(a1),f2(a1)),x84411))
% 198.12/198.41 [8667]~P24(f337(f337(x86671,f876(x86672,x86671,x86673)),f875(x86672,x86671,x86673)))+P24(f337(f337(x86671,f337(f337(f39(a1),x86672),x86673)),f45(a1,x86672,x86673)))+~P24(f337(f337(f252(a1),f2(a1)),x86673))
% 198.12/198.41 [9518]~P24(f337(f62(x95181),x95182))+~P24(f337(f337(f339(x95181),x95183),x95182))+P24(f337(f337(f252(a884),f337(f38(x95181),f337(f337(f22(f893(x95181,a878)),x95182),f337(f337(f315(x95181),x95183),f197(f893(x95181,a878)))))),f337(f38(x95181),x95182)))
% 198.12/198.41 [10111]P41(x101111,x101112,x101113)+~P24(f337(f337(f276(x101111,x101111,a878),f337(f337(f7(x101111,f893(x101111,a878),f893(x101111,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x101111,a878),f893(x101111,a878)),x101111),f8(a878,a878,x101111)),f337(f337(f8(a878,f893(a878,a878),x101111),a335),f337(f337(f7(x101111,f893(x101111,a878),a878),f339(x101111)),x101112)))),f337(f337(f7(x101111,f893(x101111,a878),a878),f339(x101111)),x101112))),f552(x101113,x101112,x101111)))+P24(f337(f337(f339(x101111),f551(x101113,x101112,x101111)),x101112))
% 198.12/198.41 [5534]~P118(x55342)+E(x55341,f2(x55342))+E(f337(f337(f295(x55342),x55343),f337(f80(x55342),x55341)),f337(f80(x55342),f337(f337(f295(x55342),x55343),x55341)))
% 198.12/198.41 [5668]~E(x56683,f197(f893(x56681,a878)))+~E(x56682,f197(f893(x56681,a878)))+E(f337(f337(f113(f893(x56681,a878)),x56682),x56683),f197(f893(x56681,a878)))
% 198.12/198.41 [5726]~E(x57263,f2(a884))+~P24(f337(x57261,f2(a884)))+P24(f337(x57261,f337(f337(f39(a884),x57262),x57263)))
% 198.12/198.41 [5869]~P61(x58692)+E(x58691,f2(x58692))+E(f337(f337(f295(x58692),f337(f76(x58692),x58693)),f337(f76(x58692),x58691)),f337(f76(x58692),f337(f337(f295(x58692),x58693),x58691)))
% 198.12/198.41 [6034]~P24(f337(f62(x60341),x60343))+E(f337(f38(x60341),f337(f337(f315(x60341),x60342),x60343)),f337(a115,f337(f38(x60341),x60343)))+P24(f337(f337(f339(x60341),x60342),x60343))
% 198.12/198.41 [6108]~E(x61082,f2(a884))+P24(f337(x61081,f2(a884)))+~P24(f337(x61081,f337(f337(f39(a884),x61083),x61082)))
% 198.12/198.41 [6127]~P24(f337(f62(x61271),x61273))+E(f337(f38(x61271),f337(f337(f315(x61271),x61272),x61273)),f337(f38(x61271),x61273))+~P24(f337(f337(f339(x61271),x61272),x61273))
% 198.12/198.41 [6161]~P24(f337(f62(x61611),x61613))+E(f337(f38(x61611),f337(f337(f315(x61611),x61612),x61613)),f337(f337(f81(a884),f79(a884)),f337(f38(x61611),x61613)))+P24(f337(f337(f339(x61611),x61612),x61613))
% 198.12/198.41 [6284]E(f337(f337(f81(a884),x62841),f851(x62841,x62842,x62843)),x62842)+~P24(f337(x62843,f2(a884)))+P24(f337(x62843,f337(f337(f22(a884),x62842),x62841)))
% 198.12/198.41 [6285]E(f337(f337(f81(a884),x62851),f852(x62851,x62852,x62853)),x62852)+~P24(f337(x62853,f2(a884)))+P24(f337(x62853,f337(f337(f22(a884),x62852),x62851)))
% 198.12/198.41 [6331]~P28(x63311)+~P24(f337(f62(x63311),x63313))+E(f337(f337(f65(x63311,x63311,f113(x63311)),x63312),x63313),f337(f337(f113(x63311),x63312),f40(x63311,x63313)))
% 198.12/198.41 [6332]~P28(x63321)+~P24(f337(f62(x63321),x63323))+E(f337(f337(f65(x63321,x63321,f104(x63321)),x63322),x63323),f337(f337(f104(x63321),x63322),f41(x63321,x63323)))
% 198.12/198.41 [6338]~P93(x63381)+~E(f337(f106(x63381),x63382),f337(f106(x63381),x63383))+P32(x63381,f337(f106(x63381),f337(f337(f81(a1),x63382),f337(f80(a1),x63383))))
% 198.12/198.41 [6345]~P138(x63451)+E(f337(f337(f22(x63451),f337(f103(x63451),x63452)),f337(f103(x63451),x63453)),f337(f103(x63451),f337(f337(f22(a884),x63452),x63453)))+~P24(f337(f337(f251(a884),x63453),x63452))
% 198.12/198.41 [6431]E(f337(f337(f81(a884),x64311),f851(x64311,x64312,x64313)),x64312)+P24(f337(f337(f252(a884),x64312),x64311))+P24(f337(x64313,f337(f337(f22(a884),x64312),x64311)))
% 198.12/198.41 [6432]E(f337(f337(f81(a884),x64321),f852(x64321,x64322,x64323)),x64322)+P24(f337(f337(f252(a884),x64322),x64321))+P24(f337(x64323,f337(f337(f22(a884),x64322),x64321)))
% 198.12/198.41 [6447]~P116(x64471)+E(f337(f337(f82(x64471),f337(f76(x64471),x64472)),x64473),f337(f76(x64471),f337(f337(f82(x64471),x64472),x64473)))+~P24(f337(f337(f251(x64471),f2(x64471)),x64473))
% 198.12/198.41 [6448]~P60(x64481)+E(f337(f337(f295(x64481),f337(f76(x64481),x64482)),x64483),f337(f76(x64481),f337(f337(f295(x64481),x64482),x64483)))+~P24(f337(f337(f252(x64481),f2(x64481)),x64483))
% 198.12/198.41 [6456]~P64(x64561)+~P24(f337(f62(x64561),x64563))+E(f337(f337(f65(x64561,x64561,f113(x64561)),x64562),x64563),f13(x64561,f337(f337(f315(x64561),x64562),x64563)))
% 198.12/198.41 [6457]~P64(x64571)+~P24(f337(f62(x64571),x64573))+E(f337(f337(f65(x64571,x64571,f104(x64571)),x64572),x64573),f10(x64571,f337(f337(f315(x64571),x64572),x64573)))
% 198.12/198.41 [6458]~P105(x64581)+~P24(f337(f62(x64581),x64583))+E(f337(f337(f65(x64581,x64581,f250(x64581)),x64582),x64583),f14(x64581,f337(f337(f315(x64581),x64582),x64583)))
% 198.12/198.41 [6459]~P105(x64591)+~P24(f337(f62(x64591),x64593))+E(f337(f337(f65(x64591,x64591,f249(x64591)),x64592),x64593),f15(x64591,f337(f337(f315(x64591),x64592),x64593)))
% 198.12/198.41 [6505]E(x65051,f116(x65052))+~E(f183(x65052,x65053),f116(f885(x65052)))+~P24(f337(f337(f339(f885(x65052)),x65051),f337(f175(f885(x65052)),x65053)))
% 198.12/198.41 [6547]~P24(f337(f139(x65471),x65473))+P24(f337(f337(f339(x65471),x65472),f337(f175(x65471),x65473)))+P24(f337(f139(x65471),f337(f337(f153(x65471),x65472),x65473)))
% 198.12/198.41 [6558]~P96(x65581)+~P24(f337(f62(x65581),x65583))+E(f337(f64(x65581,f82(x65581)),f337(f337(f315(x65581),x65582),x65583)),f337(f337(f65(x65581,x65581,f82(x65581)),x65582),x65583))
% 198.12/198.41 [6582]~P105(x65821)+~P24(f337(f62(x65821),x65823))+E(f11(x65821,f250(x65821),f337(f337(f315(x65821),x65822),x65823)),f337(f337(f65(x65821,x65821,f250(x65821)),x65822),x65823))
% 198.12/198.41 [6583]~P105(x65831)+~P24(f337(f62(x65831),x65833))+E(f12(x65831,f249(x65831),f337(f337(f315(x65831),x65832),x65833)),f337(f337(f65(x65831,x65831,f249(x65831)),x65832),x65833))
% 198.12/198.41 [6585]P24(f337(x65851,f2(a884)))+~P24(f337(f337(f252(a884),x65852),x65853))+~P24(f337(x65851,f337(f337(f22(a884),x65852),x65853)))
% 198.24/198.42 [6605]~P85(x66051)+P24(f337(f337(f251(x66051),x66052),x66053))+~P24(f337(f337(f251(x66051),f337(f76(x66051),x66052)),x66053))
% 198.24/198.42 [6606]~P116(x66061)+P24(f337(f337(f252(x66061),x66062),x66063))+~P24(f337(f337(f252(x66061),f337(f76(x66061),x66062)),x66063))
% 198.24/198.42 [6623]E(x66231,f116(x66232))+E(f337(f143(x66232),f337(f337(f140(x66232),x66233),x66231)),f337(f337(f167(x66232),x66231),x66233))+~P24(f337(f337(f252(a884),x66233),f337(f198(f885(x66232)),x66231)))
% 198.24/198.42 [6674]~P24(f337(x66741,x66743))+P24(f337(x66741,f376(x66741,x66742)))+~P24(f337(f337(f339(a884),x66743),f337(f307(a884,f2(a884)),x66742)))
% 198.24/198.42 [6695]P24(f337(x66951,x66952))+~P24(f337(f337(f252(a884),x66952),x66953))+P24(f337(f337(f339(a884),f375(x66951,x66953)),f337(f307(a884,f2(a884)),x66953)))
% 198.24/198.42 [6710]~P122(x67101)+~P24(f337(f337(f251(x67101),f79(x67101)),x67102))+P24(f337(f337(f251(x67101),f79(x67101)),f337(f337(f262(x67101),x67102),x67103)))
% 198.24/198.42 [6712]~P122(x67121)+~P24(f337(f337(f251(x67121),f2(x67121)),x67122))+P24(f337(f337(f251(x67121),f2(x67121)),f337(f337(f262(x67121),x67122),x67123)))
% 198.24/198.42 [6714]~P122(x67141)+~P24(f337(f337(f252(x67141),f2(x67141)),x67142))+P24(f337(f337(f252(x67141),f2(x67141)),f337(f337(f262(x67141),x67142),x67143)))
% 198.24/198.42 [6738]~P24(f337(x67381,x67383))+~P24(f337(f337(f252(a884),x67383),x67382))+P24(f337(f337(f339(a884),f373(x67381,x67382)),f337(f307(a884,f2(a884)),x67382)))
% 198.24/198.42 [6745]P24(f337(f62(x67451),x67452))+~P24(f337(f62(x67451),x67453))+~P24(f337(f337(f251(f893(x67451,a878)),x67452),x67453))
% 198.24/198.42 [6753]P24(f337(x67531,x67532))+~P24(f337(x67531,f377(x67531,x67533)))+~P24(f337(f337(f339(a884),x67532),f337(f307(a884,f2(a884)),x67533)))
% 198.24/198.42 [6764]E(x67641,f2(a884))+P24(f337(x67642,f868(x67641,x67643,x67642)))+~P24(f337(x67642,f337(f337(f39(a884),x67643),x67641)))
% 198.24/198.42 [6772]~P124(x67722)+E(x67721,f2(x67722))+~E(f337(f337(f81(x67722),f337(f337(f82(x67722),x67723),x67723)),f337(f337(f82(x67722),x67721),x67721)),f2(x67722))
% 198.24/198.42 [6773]~P124(x67732)+E(x67731,f2(x67732))+~E(f337(f337(f81(x67732),f337(f337(f82(x67732),x67731),x67731)),f337(f337(f82(x67732),x67733),x67733)),f2(x67732))
% 198.24/198.42 [6818]E(x68181,f2(a884))+~P24(f337(x68182,f869(x68181,x68183,x68182)))+P24(f337(x68182,f337(f337(f39(a884),x68183),x68181)))
% 198.24/198.42 [6823]~P105(x68231)+~P30(x68231,x68233)+P30(x68231,f337(f337(f150(x68231,x68231,f5(x68231)),x68232),x68233))
% 198.24/198.42 [6866]P24(f337(x68661,f868(x68662,x68663,x68661)))+P24(f337(x68661,f2(a884)))+~P24(f337(x68661,f337(f337(f39(a884),x68663),x68662)))
% 198.24/198.42 [6872]~P93(x68721)+E(f337(f106(x68721),x68722),f337(f106(x68721),x68723))+~P32(x68721,f337(f106(x68721),f337(f337(f81(a1),x68722),f337(f80(a1),x68723))))
% 198.24/198.42 [6938]E(x69381,f2(a1))+E(x69382,f2(a1))+~P24(f337(f49(x69382,x69382),f337(f337(f272(a1,a1),x69383),x69381)))
% 198.24/198.42 [6939]E(x69391,f79(a1))+E(x69392,f2(a1))+~P24(f337(f49(x69392,x69392),f337(f337(f272(a1,a1),x69391),x69393)))
% 198.24/198.42 [6953]P24(f337(x69531,x69532))+P24(f337(f337(f252(a884),f377(x69531,x69533)),x69533))+~P24(f337(f337(f339(a884),x69532),f337(f307(a884,f2(a884)),x69533)))
% 198.24/198.42 [6975]~P24(f337(x69751,f851(x69753,x69752,x69751)))+~P24(f337(x69751,f2(a884)))+P24(f337(x69751,f337(f337(f22(a884),x69752),x69753)))
% 198.24/198.42 [6976]~P24(f337(x69761,f852(x69763,x69762,x69761)))+~P24(f337(x69761,f2(a884)))+P24(f337(x69761,f337(f337(f22(a884),x69762),x69763)))
% 198.24/198.42 [6977]~P24(f337(x69771,f869(x69773,x69772,x69771)))+~P24(f337(x69771,f2(a884)))+P24(f337(x69771,f337(f337(f39(a884),x69772),x69773)))
% 198.24/198.42 [6995]~P24(f337(x69951,x69953))+P24(f337(f337(f252(a884),f376(x69951,x69952)),x69952))+~P24(f337(f337(f339(a884),x69953),f337(f307(a884,f2(a884)),x69952)))
% 198.24/198.42 [6996]E(f337(f337(f22(a884),f337(f337(f22(a884),x69961),x69962)),f337(f337(f22(a884),x69963),x69962)),f337(f337(f22(a884),x69961),x69963))+~P24(f337(f337(f251(a884),x69962),x69961))+~P24(f337(f337(f251(a884),x69962),x69963))
% 198.24/198.42 [7031]~P78(x70311)+~P24(f337(f337(f251(x70311),f337(f80(x70311),x70313)),x70312))+P24(f337(f337(f251(x70311),f337(f80(x70311),x70312)),x70313))
% 198.24/198.42 [7033]~P85(x70331)+~P24(f337(f337(f251(x70331),f337(f76(x70331),x70332)),x70333))+P24(f337(f337(f251(x70331),f337(f80(x70331),x70332)),x70333))
% 198.24/198.42 [7035]~P78(x70351)+~P24(f337(f337(f252(x70351),f337(f80(x70351),x70353)),x70352))+P24(f337(f337(f252(x70351),f337(f80(x70351),x70352)),x70353))
% 198.24/198.42 [7036]~P116(x70361)+~P24(f337(f337(f252(x70361),f337(f76(x70361),x70362)),x70363))+P24(f337(f337(f252(x70361),f337(f80(x70361),x70362)),x70363))
% 198.24/198.42 [7071]~P24(f337(x70713,f851(x70712,x70711,x70713)))+P24(f337(f337(f252(a884),x70711),x70712))+P24(f337(x70713,f337(f337(f22(a884),x70711),x70712)))
% 198.24/198.42 [7072]~P24(f337(x70723,f852(x70722,x70721,x70723)))+P24(f337(f337(f252(a884),x70721),x70722))+P24(f337(x70723,f337(f337(f22(a884),x70721),x70722)))
% 198.24/198.42 [7123]~E(f638(x71233,x71232,x71231),f639(x71233,x71232,x71231))+E(f337(f337(f104(f893(x71231,a878)),x71232),f40(f893(x71231,a878),x71233)),f197(f893(x71231,a878)))+P24(f337(f337(f339(f893(x71231,a878)),x71232),x71233))
% 198.24/198.42 [7132]~P24(f337(f62(x71321),x71323))+P24(f337(f62(x71321),f41(f893(x71321,a878),x71322)))+~P24(f337(f337(f339(f893(x71321,a878)),x71323),x71322))
% 198.24/198.42 [7191]~P105(x71911)+E(f337(f337(f113(f893(x71911,a878)),f337(f307(x71911,x71912),x71913)),f337(f337(f315(x71911),x71913),f197(f893(x71911,a878)))),f308(x71911,x71912,x71913))+~P24(f337(f337(f251(x71911),x71912),x71913))
% 198.24/198.42 [7192]E(x71921,f2(a884))+P24(f337(f337(f252(a884),f871(x71921,x71923,x71922)),x71921))+P24(f337(x71922,f337(f337(f39(a884),x71923),x71921)))
% 198.24/198.42 [7222]P24(f337(f337(f252(a884),f337(f198(f885(x72221)),x72222)),f821(x72223,x72221)))+~P24(f337(f62(f885(x72221)),x72223))+~P24(f337(f337(f339(f885(x72221)),x72222),x72223))
% 198.24/198.42 [7228]E(x72281,x72282)+~P24(f337(f337(f251(f893(x72283,a878)),x72281),x72282))+P24(f337(f337(f252(f893(x72283,a878)),x72281),x72282))
% 198.24/198.42 [7241]E(x72411,x72412)+~E(f337(f198(f885(x72413)),x72411),f337(f198(f885(x72413)),x72412))+P24(f337(f337(f252(a884),f684(x72413,x72411,x72412)),f337(f198(f885(x72413)),x72412)))
% 198.24/198.42 [7287]P6(x72871,x72872,x72873)+~E(f337(f270(x72871,x72871),x72873),x72872)+~E(f337(f337(f294(x72871,x72871,x72871),f337(f292(x72871,x72871),x72873)),x72873),x72873)
% 198.24/198.42 [7362]~P24(f337(x73621,f2(a884)))+P24(f337(f337(f252(a884),f871(x73623,x73622,x73621)),x73623))+P24(f337(x73621,f337(f337(f39(a884),x73622),x73623)))
% 198.24/198.42 [7371]~P105(x73711)+E(f337(f337(f113(f893(x73711,a878)),f311(x73711,x73712,x73713)),f337(f337(f315(x73711),x73713),f197(f893(x73711,a878)))),f310(x73711,x73712,x73713))+~P24(f337(f337(f252(x73711),x73712),x73713))
% 198.24/198.42 [7469]~P24(f337(f62(x74691),x74693))+P24(f337(f337(f251(a884),f337(f38(x74691),x74692)),f337(f38(x74691),x74693)))+~P24(f337(f337(f251(f893(x74691,a878)),x74692),x74693))
% 198.24/198.42 [7470]~P24(f337(f62(x74701),x74703))+P24(f337(f337(f252(a884),f337(f38(x74701),x74702)),f337(f38(x74701),x74703)))+~P24(f337(f337(f252(f893(x74701,a878)),x74702),x74703))
% 198.24/198.42 [7607]E(x76071,x76072)+~P24(f337(f337(f251(f893(x76073,a878)),x76072),x76071))+~P24(f337(f337(f251(f893(x76073,a878)),x76071),x76072))
% 198.24/198.42 [7610]~P105(x76101)+P30(x76101,x76102)+~P30(x76101,f337(f337(f150(x76101,x76101,f5(x76101)),x76103),x76102))
% 198.24/198.42 [7679]~P24(f337(f337(f252(a884),x76793),x76792))+~P24(f337(f337(f252(a884),x76793),x76791))+P24(f337(f337(f252(a884),f337(f337(f22(a884),x76791),x76792)),f337(f337(f22(a884),x76791),x76793)))
% 198.24/198.42 [7680]~P24(f337(f337(f251(a884),x76802),x76801))+~P24(f337(f337(f252(a884),x76801),x76803))+P24(f337(f337(f252(a884),f337(f337(f22(a884),x76801),x76802)),f337(f337(f22(a884),x76803),x76802)))
% 198.24/198.42 [7695]~P24(f337(f337(f252(a1),x76952),f2(a1)))+~P24(f337(f337(f251(a1),x76953),x76951))+P24(f337(f337(f251(a1),f337(f337(f39(a1),x76951),x76952)),f337(f337(f39(a1),x76953),x76952)))
% 198.24/198.42 [7713]~P24(f337(f337(f252(a884),f2(a884)),x77133))+~P24(f337(f337(f251(a884),x77133),x77132))+P24(f337(f337(f251(a884),f337(f337(f39(a884),x77131),x77132)),f337(f337(f39(a884),x77131),x77133)))
% 198.24/198.42 [7714]~P24(f337(f337(f252(a1),f2(a1)),x77142))+~P24(f337(f337(f251(a1),x77141),x77143))+P24(f337(f337(f251(a1),f337(f337(f39(a1),x77141),x77142)),f337(f337(f39(a1),x77143),x77142)))
% 198.24/198.42 [7718]~P24(f337(f337(f252(a884),f2(a884)),x77182))+~P24(f337(f337(f252(a884),x77181),x77183))+P24(f337(f337(f252(a884),f337(f337(f82(a884),x77181),x77182)),f337(f337(f82(a884),x77183),x77182)))
% 198.24/198.42 [7719]~P24(f337(f337(f252(a884),f2(a884)),x77191))+~P24(f337(f337(f252(a884),x77192),x77193))+P24(f337(f337(f252(a884),f337(f337(f82(a884),x77191),x77192)),f337(f337(f82(a884),x77191),x77193)))
% 198.24/198.42 [7720]~P24(f337(f337(f252(a1),f2(a1)),x77201))+~P24(f337(f337(f252(a1),x77202),x77203))+P24(f337(f337(f252(a1),f337(f337(f82(a1),x77201),x77202)),f337(f337(f82(a1),x77201),x77203)))
% 198.24/198.42 [7770]E(x77701,f2(a884))+E(f337(f337(f81(a884),f337(f337(f82(a884),x77701),f869(x77701,x77702,x77703))),f871(x77701,x77702,x77703)),x77702)+P24(f337(x77703,f337(f337(f39(a884),x77702),x77701)))
% 198.24/198.42 [7828]E(f337(f337(f81(a884),f337(f337(f82(a884),x78281),f869(x78281,x78282,x78283))),f871(x78281,x78282,x78283)),x78282)+~P24(f337(x78283,f2(a884)))+P24(f337(x78283,f337(f337(f39(a884),x78282),x78281)))
% 198.24/198.42 [7846]~P24(f337(f62(x78461),x78463))+P24(f337(f337(f339(x78461),f856(x78462,x78463,x78461)),x78463))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f9(x78461,a884),x78462),x78463)))
% 198.24/198.42 [7847]~P24(f337(f62(x78471),x78473))+P24(f337(f337(f339(x78471),f357(x78472,x78473,x78471)),x78473))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f9(x78471,a884),x78472),x78473)))
% 198.24/198.42 [8132]E(x81321,f197(f893(x81322,a878)))+E(x81321,f337(f337(f315(x81322),x81323),f197(f893(x81322,a878))))+~P24(f337(f337(f251(f893(x81322,a878)),x81321),f337(f337(f315(x81322),x81323),f197(f893(x81322,a878)))))
% 198.24/198.42 [8149]~P57(x81491)+P8(x81491,x81492,x81493)+P24(f337(f337(f339(f885(x81491)),f742(x81493,x81492,x81491)),f337(f175(f885(x81491)),f55(x81491,x81493,f56(x81491)))))
% 198.24/198.42 [8168]~P24(f337(f337(f252(a884),f2(a884)),x81683))+P24(f337(f337(f251(a884),x81681),x81682))+~P24(f337(f337(f251(a884),f337(f337(f82(a884),x81683),x81681)),f337(f337(f82(a884),x81683),x81682)))
% 198.24/198.42 [8169]~P24(f337(f337(f252(a884),f2(a884)),x81693))+P24(f337(f337(f251(a884),x81691),x81692))+~P24(f337(f337(f251(a884),f337(f337(f82(a884),x81691),x81693)),f337(f337(f82(a884),x81692),x81693)))
% 198.24/198.42 [8171]~P24(f337(f337(f252(a884),f2(a884)),x81713))+P24(f337(f337(f252(a884),x81711),x81712))+~P24(f337(f337(f252(a884),f337(f337(f262(a884),x81713),x81711)),f337(f337(f262(a884),x81713),x81712)))
% 198.24/198.42 [8197]~P57(x81971)+~P7(x81971,x81973,x81972)+P24(f337(f337(f339(f885(x81971)),f741(x81972,x81973,x81971)),f337(f175(f885(x81971)),f55(x81971,x81972,f56(x81971)))))
% 198.24/198.42 [8213]~E(f337(f337(f104(f893(x82131,a878)),f639(x82133,x82132,x82131)),f638(x82133,x82132,x82131)),f197(f893(x82131,a878)))+E(f337(f337(f104(f893(x82131,a878)),x82132),f40(f893(x82131,a878),x82133)),f197(f893(x82131,a878)))+P24(f337(f337(f339(f893(x82131,a878)),x82132),x82133))
% 198.24/198.42 [8230]E(x82301,f116(x82302))+~E(f337(f144(f885(x82302),f885(x82302),f136(x82302),f116(x82302)),x82303),f116(x82302))+~P24(f337(f337(f339(f885(x82302)),x82301),f337(f175(f885(x82302)),x82303)))
% 198.24/198.42 [8287]E(x82871,f197(f893(f893(x82872,a878),a878)))+P24(f337(f337(f339(f893(x82872,a878)),f642(x82873,x82871,x82872)),x82871))+P24(f337(f337(f251(f893(x82872,a878)),f41(f893(x82872,a878),x82871)),x82873))
% 198.24/198.42 [8294]~P70(x82941)+~P74(x82941)+E(f337(f337(f6(a1,x82941),f337(f337(f8(a884,x82941,a1),x82942),a107)),f337(f316(a884,a1,f103(a1)),x82943)),f337(f337(f6(a884,x82941),x82942),x82943))
% 198.24/198.42 [8295]~P70(x82951)+~P74(x82951)+E(f337(f337(f9(a1,x82951),f337(f337(f8(a884,x82951,a1),x82952),a107)),f337(f316(a884,a1,f103(a1)),x82953)),f337(f337(f9(a884,x82951),x82952),x82953))
% 198.24/198.42 [8335]~P24(f337(f62(x83351),x83353))+~P24(f337(f337(f252(a884),f2(a884)),f337(x83352,f856(x83352,x83353,x83351))))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f9(x83351,a884),x83352),x83353)))
% 198.24/198.42 [8336]~P24(f337(f62(x83361),x83363))+~P24(f337(f337(f252(a884),f2(a884)),f337(x83362,f357(x83362,x83363,x83361))))+P24(f337(f337(f252(a884),f2(a884)),f337(f337(f9(x83361,a884),x83362),x83363)))
% 198.24/198.42 [8369]~P59(x83692)+E(x83691,f79(x83692))+E(f337(f337(f295(x83692),f337(f337(f22(x83692),f337(f337(f262(x83692),x83691),x83693)),f79(x83692))),f337(f337(f22(x83692),x83691),f79(x83692))),f337(f337(f6(a884,x83692),f337(f262(x83692),x83691)),f337(f307(a884,f2(a884)),x83693)))
% 198.24/198.42 [8427]E(x84271,f2(a884))+~P24(f337(x84273,f337(f337(f39(a884),x84272),x84271)))+P24(f337(f337(f252(a884),x84272),f337(f337(f82(a884),x84271),f337(a115,f868(x84271,x84272,x84273)))))
% 198.24/198.42 [8444]P24(f337(x84441,f2(a884)))+~P24(f337(x84441,f337(f337(f39(a884),x84442),x84443)))+P24(f337(f337(f252(a884),x84442),f337(f337(f82(a884),x84443),f337(a115,f868(x84443,x84442,x84441)))))
% 198.24/198.42 [8483]E(x84831,f2(a884))+~P24(f337(x84833,f337(f337(f39(a884),x84832),x84831)))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x84831),f868(x84831,x84832,x84833))),x84832))
% 198.24/198.42 [8516]P24(f337(x85161,f2(a884)))+~P24(f337(x85161,f337(f337(f39(a884),x85163),x85162)))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x85162),f868(x85162,x85163,x85161))),x85163))
% 198.24/198.42 [8519]~P105(x85191)+E(f337(f337(f150(x85191,x85191,f5(x85191)),x85192),x85193),f151(x85191,x85191,f5(x85191),x85192,x85193))+P24(f337(f337(f339(x85191),x85192),f337(f175(x85191),x85193)))
% 198.24/198.42 [8554]~E(f337(x85543,f562(x85542,x85543,x85541)),f337(x85543,f564(x85542,x85543,x85541)))+~P56(x85541,f337(x85543,f563(x85542,x85543,x85541)))+P56(x85541,f337(f337(f42(x85542,f893(x85541,f893(x85541,a878))),f260(f893(x85542,a878))),x85543))
% 198.24/198.42 [8562]E(x85621,f197(f893(f893(x85622,a878),a878)))+~P24(f337(f337(f251(f893(x85622,a878)),f642(x85623,x85621,x85622)),x85623))+P24(f337(f337(f251(f893(x85622,a878)),f41(f893(x85622,a878),x85621)),x85623))
% 198.24/198.42 [8620]~P61(x86201)+~P24(f337(f337(f252(x86201),x86202),x86203))+P24(f337(f337(f252(x86201),x86202),f337(f337(f295(x86201),f337(f337(f81(x86201),x86202),x86203)),f337(f337(f81(x86201),f79(x86201)),f79(x86201)))))
% 198.24/198.42 [8673]~P24(f337(f337(x86731,f487(x86731,x86733,x86732)),f489(x86731,x86733,x86732)))+P24(f337(f337(x86731,x86732),x86733))+~P24(f337(f325(f892(a1,a1),a52),f337(f337(f272(a1,a1),x86732),x86733)))
% 198.24/198.42 [8674]~P24(f337(f337(x86741,f490(x86741,x86743,x86742)),f491(x86741,x86743,x86742)))+P24(f337(f337(x86741,x86742),x86743))+~P24(f337(f325(f892(a1,a1),a57),f337(f337(f272(a1,a1),x86742),x86743)))
% 198.24/198.42 [8675]~P24(f337(f337(x86751,f492(x86751,x86753,x86752)),f493(x86751,x86753,x86752)))+P24(f337(f337(x86751,x86752),x86753))+~P24(f337(f325(f892(a1,a1),a234),f337(f337(f272(a1,a1),x86752),x86753)))
% 198.24/198.42 [8676]~P24(f337(f337(x86761,f494(x86761,x86763,x86762)),f495(x86761,x86763,x86762)))+P24(f337(f337(x86761,x86762),x86763))+~P24(f337(f325(f892(a884,a884),a232),f337(f337(f272(a884,a884),x86762),x86763)))
% 198.24/198.42 [8677]~P24(f337(f337(x86771,f692(x86771,x86773,x86772)),f695(x86771,x86773,x86772)))+P24(f337(f337(x86771,x86772),x86773))+~P24(f337(f325(f892(a1,a1),a186),f337(f337(f272(a1,a1),x86772),x86773)))
% 198.24/198.42 [8678]~P24(f337(f337(x86781,f804(x86781,x86783,x86782)),f805(x86781,x86783,x86782)))+P24(f337(f337(x86781,x86782),x86783))+~P24(f337(f325(f892(a1,a1),a135),f337(f337(f272(a1,a1),x86782),x86783)))
% 198.24/198.42 [8930]P24(f337(f337(x89301,x89302),x89303))+P24(f337(f325(f892(a884,a884),a232),f337(f337(f272(a884,a884),f494(x89301,x89303,x89302)),f495(x89301,x89303,x89302))))+~P24(f337(f325(f892(a884,a884),a232),f337(f337(f272(a884,a884),x89302),x89303)))
% 198.24/198.42 [8931]P24(f337(f337(x89311,x89312),x89313))+P24(f337(f325(f892(a1,a1),a52),f337(f337(f272(a1,a1),f487(x89311,x89313,x89312)),f489(x89311,x89313,x89312))))+~P24(f337(f325(f892(a1,a1),a52),f337(f337(f272(a1,a1),x89312),x89313)))
% 198.24/198.42 [8932]P24(f337(f337(x89321,x89322),x89323))+P24(f337(f325(f892(a1,a1),a57),f337(f337(f272(a1,a1),f490(x89321,x89323,x89322)),f491(x89321,x89323,x89322))))+~P24(f337(f325(f892(a1,a1),a57),f337(f337(f272(a1,a1),x89322),x89323)))
% 198.24/198.42 [8933]P24(f337(f337(x89331,x89332),x89333))+P24(f337(f325(f892(a1,a1),a234),f337(f337(f272(a1,a1),f492(x89331,x89333,x89332)),f493(x89331,x89333,x89332))))+~P24(f337(f325(f892(a1,a1),a234),f337(f337(f272(a1,a1),x89332),x89333)))
% 198.24/198.42 [8934]P24(f337(f337(x89341,x89342),x89343))+P24(f337(f325(f892(a1,a1),a186),f337(f337(f272(a1,a1),f692(x89341,x89343,x89342)),f695(x89341,x89343,x89342))))+~P24(f337(f325(f892(a1,a1),a186),f337(f337(f272(a1,a1),x89342),x89343)))
% 198.24/198.42 [8935]P24(f337(f337(x89351,x89352),x89353))+P24(f337(f325(f892(a1,a1),a135),f337(f337(f272(a1,a1),f804(x89351,x89353,x89352)),f805(x89351,x89353,x89352))))+~P24(f337(f325(f892(a1,a1),a135),f337(f337(f272(a1,a1),x89352),x89353)))
% 198.24/198.42 [9265]~P24(f337(f62(x92651),x92653))+P24(f337(f337(f339(f892(f893(x92651,a878),f893(x92651,a878))),f337(f337(f272(f893(x92651,a878),f893(x92651,a878)),x92652),x92653)),f312(x92651)))+~P24(f337(f337(f252(f893(x92651,a878)),x92652),x92653))
% 198.24/198.42 [9274]~P23(a879,f197(f893(f882(a879),a878)),f337(f337(f315(f882(a879)),f337(f337(f337(f93(a879),x92741),x92742),x92743)),f197(f893(f882(a879),a878))))+P20(a879,f197(f893(f882(a879),a878)),f337(f337(f315(f882(a879)),f337(f337(f337(f93(a879),x92741),x92742),x92743)),f197(f893(f882(a879),a878))))+~P20(a879,f197(f893(f882(a879),a878)),f337(f337(f315(f882(a879)),f337(a94,x92742)),f197(f893(f882(a879),a878))))
% 198.24/198.42 [9333]~P56(x93331,f337(x93333,f563(x93332,x93333,x93331)))+P56(x93331,f337(f337(f42(x93332,f893(x93331,f893(x93331,a878))),f260(f893(x93332,a878))),x93333))+~E(f337(f337(f104(f893(x93331,a878)),f266(x93331,x93331,f337(x93333,f562(x93332,x93333,x93331)))),f267(x93331,x93331,f337(x93333,f564(x93332,x93333,x93331)))),f197(f893(x93331,a878)))
% 198.24/198.42 [9530]P41(x95301,x95302,x95303)+P24(f337(f337(f339(f892(x95301,x95301)),f552(x95303,x95302,x95301)),x95303))+~P24(f337(f337(f339(f892(x95301,x95301)),f337(f337(f272(x95301,x95301),f551(x95303,x95302,x95301)),f551(x95303,x95302,x95301))),x95303))
% 198.24/198.42 [10112]P41(x101121,x101122,x101123)+~P24(f337(f337(f276(x101121,x101121,a878),f337(f337(f7(x101121,f893(x101121,a878),f893(x101121,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x101121,a878),f893(x101121,a878)),x101121),f8(a878,a878,x101121)),f337(f337(f8(a878,f893(a878,a878),x101121),a335),f337(f337(f7(x101121,f893(x101121,a878),a878),f339(x101121)),x101122)))),f337(f337(f7(x101121,f893(x101121,a878),a878),f339(x101121)),x101122))),f552(x101123,x101122,x101121)))+~P24(f337(f337(f339(f892(x101121,x101121)),f337(f337(f272(x101121,x101121),f551(x101123,x101122,x101121)),f551(x101123,x101122,x101121))),x101123))
% 198.24/198.42 [5707]~P26(x57072)+E(x57071,f2(x57072))+E(f337(f337(f39(x57072),f337(f337(f82(x57072),x57073),x57071)),x57071),x57073)
% 198.24/198.42 [5708]~P26(x57082)+E(x57081,f2(x57082))+E(f337(f337(f39(x57082),f337(f337(f82(x57082),x57081),x57083)),x57081),x57083)
% 198.24/198.42 [6504]~P70(x65041)+~E(f337(x65042,f2(a884)),f2(x65041))+E(f337(f337(f6(a884,x65041),x65042),f337(f307(a884,f337(a115,f2(a884))),x65043)),f337(f337(f6(a884,x65041),x65042),f337(f307(a884,f2(a884)),x65043)))
% 198.24/198.42 [6635]~P26(x66352)+E(x66351,f2(x66352))+E(f337(f337(f39(x66352),f337(f337(f81(x66352),x66353),x66351)),x66351),f337(f337(f81(x66352),f337(f337(f39(x66352),x66353),x66351)),f79(x66352)))
% 198.24/198.42 [6636]~P26(x66362)+E(x66361,f2(x66362))+E(f337(f337(f39(x66362),f337(f337(f81(x66362),x66361),x66363)),x66361),f337(f337(f81(x66362),f337(f337(f39(x66362),x66363),x66361)),f79(x66362)))
% 198.24/198.42 [6854]~P24(f337(x68543,f2(a1)))+P24(f337(f337(f251(a884),x68541),x68542))+P24(f337(x68543,f337(f103(a1),f337(f337(f22(a884),x68542),x68541))))
% 198.24/198.42 [6959]P24(f337(f337(f252(a884),x69592),x69591))+P24(f337(f337(f251(a884),x69591),x69592))+P24(f337(x69593,f337(f103(a1),f337(f337(f22(a884),x69592),x69591))))
% 198.24/198.42 [7029]E(f337(f337(f81(a884),f337(f106(a884),x70291)),f337(f337(f81(a884),f337(f106(a884),x70292)),x70293)),f337(f337(f81(a884),f337(f106(a884),x70291)),x70293))+P24(f337(a202,f337(f106(a1),x70291)))+~P24(f337(a202,f337(f106(a1),x70292)))
% 198.24/198.42 [7110]~E(x71102,f337(f337(f39(a884),x71103),x71101))+~P24(f337(f337(f252(a884),f2(a884)),x71101))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x71101),x71102)),x71103))
% 198.24/198.42 [7225]~P24(f337(f62(x72251),x72253))+~P24(f337(f62(x72251),x72252))+P24(f337(f62(x72251),f337(f337(f113(f893(x72251,a878)),x72252),x72253)))
% 198.24/198.42 [7520]~P105(x75201)+~P24(f337(f62(x75201),x75202))+E(f141(x75201,f337(f337(f22(f893(x75201,a878)),x75202),f337(f337(f315(x75201),x75203),f197(f893(x75201,a878))))),f173(x75201,x75203,f141(x75201,x75202)))
% 198.24/198.42 [7586]P24(f337(x75861,f2(a1)))+~P24(f337(f337(f252(a884),x75862),x75863))+~P24(f337(x75861,f337(f103(a1),f337(f337(f22(a884),x75862),x75863))))
% 198.24/198.42 [7604]~P24(f337(f62(x76041),x76042))+E(f337(f38(x76041),f337(f337(f22(f893(x76041,a878)),x76042),f337(f337(f315(x76041),x76043),f197(f893(x76041,a878))))),f337(f38(x76041),x76042))+P24(f337(f337(f339(x76041),x76043),x76042))
% 198.24/198.42 [7735]~P122(x77351)+~P24(f337(f337(f252(x77351),f79(x77351)),x77352))+P24(f337(f337(f252(x77351),f79(x77351)),f337(f337(f82(x77351),x77352),f337(f337(f262(x77351),x77352),x77353))))
% 198.24/198.42 [7780]~P24(f337(f62(x77801),x77803))+E(f337(f337(f22(a884),f337(f38(x77801),x77802)),f337(f38(x77801),x77803)),f337(f38(x77801),f337(f337(f22(f893(x77801,a878)),x77802),x77803)))+~P24(f337(f337(f251(f893(x77801,a878)),x77803),x77802))
% 198.24/198.42 [7837]~P24(f337(f337(f251(a884),x78372),x78373))+~P24(f337(f337(f251(a884),x78371),f337(f337(f22(a884),x78373),x78372)))+P24(f337(f337(f251(a884),f337(f337(f81(a884),x78371),x78372)),x78373))
% 198.24/198.42 [7888]P24(f337(f62(x78881),x78882))+~P24(f337(f62(x78881),x78883))+~P24(f337(f62(x78881),f337(f337(f22(f893(x78881,a878)),x78882),x78883)))
% 198.24/198.42 [7894]~P24(f337(f62(x78941),x78942))+E(f337(f38(x78941),f337(f337(f22(f893(x78941,a878)),x78942),f337(f337(f315(x78941),x78943),f197(f893(x78941,a878))))),f337(f337(f22(a884),f337(f38(x78941),x78942)),f79(a884)))+~P24(f337(f337(f339(x78941),x78943),x78942))
% 198.24/198.42 [7969]P56(x79691,x79692)+~P56(x79691,x79693)+~P24(f337(f337(f251(f893(x79691,f893(x79691,a878))),x79692),x79693))
% 198.24/198.42 [8011]~P24(f337(f337(f251(a884),x80113),x80112))+P24(f337(f337(f251(a884),x80111),f337(f337(f22(a884),x80112),x80113)))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),x80111),x80113)),x80112))
% 198.24/198.42 [8029]P39(x80291,x80292)+~P39(x80291,x80293)+~P24(f337(f337(f251(f893(f892(x80291,x80291),a878)),x80292),x80293))
% 198.24/198.42 [8030]P54(x80301,x80302)+~P54(x80301,x80303)+~P24(f337(f337(f251(f893(f892(x80301,x80301),a878)),x80302),x80303))
% 198.24/198.42 [8265]~P122(x82651)+~P24(f337(f337(f252(x82651),f79(x82651)),x82652))+P24(f337(f337(f252(x82651),f337(f337(f262(x82651),x82652),x82653)),f337(f337(f82(x82651),x82652),f337(f337(f262(x82651),x82652),x82653))))
% 198.24/198.42 [8353]~P24(f337(x83531,f2(a1)))+~P24(f337(x83531,f337(f337(f22(a1),f337(f103(a1),x83532)),f337(f103(a1),x83533))))+P24(f337(x83531,f337(f103(a1),f337(f337(f22(a884),x83532),x83533))))
% 198.24/198.42 [8366]~P24(f337(f337(f251(a884),x83663),x83662))+P24(f337(x83661,f337(f337(f22(a1),f337(f103(a1),x83662)),f337(f103(a1),x83663))))+~P24(f337(x83661,f337(f103(a1),f337(f337(f22(a884),x83662),x83663))))
% 198.24/198.42 [8384]P24(f337(f337(f252(a884),x83841),x83842))+~P24(f337(x83843,f337(f337(f22(a1),f337(f103(a1),x83841)),f337(f103(a1),x83842))))+P24(f337(x83843,f337(f103(a1),f337(f337(f22(a884),x83841),x83842))))
% 198.24/198.42 [8438]~P124(x84382)+E(x84381,f2(x84382))+P24(f337(f337(f252(x84382),f2(x84382)),f337(f337(f81(x84382),f337(f337(f82(x84382),x84383),x84383)),f337(f337(f82(x84382),x84381),x84381))))
% 198.24/198.42 [8439]~P124(x84392)+E(x84391,f2(x84392))+P24(f337(f337(f252(x84392),f2(x84392)),f337(f337(f81(x84392),f337(f337(f82(x84392),x84391),x84391)),f337(f337(f82(x84392),x84393),x84393))))
% 198.24/198.42 [8537]~P24(f337(f337(f252(a884),f2(a884)),x85371))+~P24(f337(f337(f252(a1),x85372),x85373))+P24(f337(f337(f252(a1),f337(f337(f82(a1),f337(f103(a1),x85371)),x85372)),f337(f337(f82(a1),f337(f103(a1),x85371)),x85373)))
% 198.24/198.42 [8590]E(f337(f337(f104(f893(x85901,a878)),x85902),f40(f893(x85901,a878),x85903)),f197(f893(x85901,a878)))+P24(f337(f337(f339(f893(x85901,a878)),x85902),x85903))+P24(f337(f337(f339(f893(x85901,a878)),f639(x85903,x85902,x85901)),f337(f337(f315(f893(x85901,a878)),x85902),x85903)))
% 198.24/198.42 [8591]E(f337(f337(f104(f893(x85911,a878)),x85912),f40(f893(x85911,a878),x85913)),f197(f893(x85911,a878)))+P24(f337(f337(f339(f893(x85911,a878)),x85912),x85913))+P24(f337(f337(f339(f893(x85911,a878)),f638(x85913,x85912,x85911)),f337(f337(f315(f893(x85911,a878)),x85912),x85913)))
% 198.24/198.42 [8619]E(x86191,x86192)+~E(f337(f198(f885(x86193)),x86191),f337(f198(f885(x86193)),x86192))+P24(f337(f337(f339(f892(x86193,x86193)),f672(x86193,x86191,x86192)),f337(f175(f892(x86193,x86193)),f337(f337(f185(x86193,x86193),x86192),x86191))))
% 198.24/198.42 [8849]E(f313(x88491,x88492),f313(x88491,x88493))+~P24(f337(f337(f251(f893(f892(x88491,x88491),a878)),x88493),f313(x88491,x88492)))+~P24(f337(f337(f251(f893(f892(x88491,x88491),a878)),x88492),x88493))
% 198.24/198.42 [8909]~P41(x89091,f260(f893(x89091,a878)),x89093)+P24(f337(f337(f251(f893(f892(f885(x89091),f885(x89091)),a878)),f159(x89091,x89092)),f160(x89091,x89093)))+~P24(f337(f337(f251(f893(f892(x89091,x89091),a878)),x89092),x89093))
% 198.24/198.42 [9106]P39(x91061,x91062)+~P24(f337(f337(f339(x91061),x91063),f603(x91062,x91061)))+P24(f337(f337(f339(f892(x91061,x91061)),f337(f337(f272(x91061,x91061),f654(x91062,x91061,x91063)),x91063)),x91062))
% 198.24/198.42 [9143]~P24(f337(f62(x91431),x91432))+P24(f337(f62(f893(x91431,a878)),f337(f337(f61(x91431),x91432),x91433)))+~P24(f337(f337(f251(f893(f892(x91431,x91431),a878)),x91433),f337(f337(f274(x91431,x91431),x91432),f337(f16(f893(x91431,a878),x91431),x91432))))
% 198.24/198.42 [9177]P41(x91771,x91772,x91773)+P24(f337(f337(f339(x91771),f542(x91773,x91772,x91771)),x91772))+~P24(f337(f337(f251(f893(f892(x91771,x91771),a878)),x91773),f337(f337(f274(x91771,x91771),x91772),f337(f16(f893(x91771,a878),x91771),x91772))))
% 198.24/198.42 [9178]P41(x91781,x91782,x91783)+P24(f337(f337(f339(x91781),f550(x91782,x91783,x91781)),x91782))+~P24(f337(f337(f251(f893(f892(x91781,x91781),a878)),x91783),f337(f337(f274(x91781,x91781),x91782),f337(f16(f893(x91781,a878),x91781),x91782))))
% 198.24/198.42 [9211]~P61(x92111)+~P24(f337(f337(f252(x92111),x92112),x92113))+P24(f337(f337(f252(x92111),f337(f337(f295(x92111),f337(f337(f81(x92111),x92112),x92113)),f337(f337(f81(x92111),f79(x92111)),f79(x92111)))),x92113))
% 198.24/198.42 [9240]~P60(x92401)+P24(f337(f337(f251(x92401),x92402),x92403))+~P24(f337(f337(f251(x92401),f337(f337(f82(x92401),f867(x92403,x92402,x92401)),x92402)),x92403))
% 198.24/198.42 [9370]E(f337(f198(f885(f885(x93701))),f337(f138(f885(x93701),f337(f337(f8(a884,a878,f885(x93701)),f337(f252(a884),x93702)),f198(f885(x93701)))),f183(x93701,x93703))),f337(f198(f885(x93701)),f337(f337(f167(f885(x93701)),x93703),x93702)))+~P30(a884,f337(f171(a884),f337(f337(f156(f885(x93701),a884),f198(f885(x93701))),x93703)))+~P24(f337(f337(f252(a884),x93702),f337(f198(f885(f885(x93701))),x93703)))
% 198.24/198.42 [9478]~P39(x94781,x94782)+P22(x94781,f337(f337(f272(f893(f892(x94781,x94781),a878),f893(f892(x94781,x94781),a878)),x94782),x94783))+~P24(f337(f337(f251(f893(f892(x94781,x94781),a878)),f337(f337(f294(x94781,x94781,x94781),x94782),x94783)),x94782))
% 198.24/198.42 [9485]E(f337(f337(f156(f885(x94851),x94851),f337(f337(f7(f885(x94851),a884,x94851),f167(x94851)),x94852)),f337(f138(f885(x94851),f337(f337(f8(a884,a878,f885(x94851)),f337(f252(a884),x94852)),f198(f885(x94851)))),f183(x94851,x94853))),f337(f337(f167(f885(x94851)),x94853),x94852))+~P30(a884,f337(f171(a884),f337(f337(f156(f885(x94851),a884),f198(f885(x94851))),x94853)))+~P24(f337(f337(f252(a884),x94852),f337(f198(f885(f885(x94851))),x94853)))
% 198.24/198.42 [9617]P41(x96171,x96172,x96173)+~P24(f337(f337(f339(f892(x96171,x96171)),f337(f337(f272(x96171,x96171),f542(x96173,x96172,x96171)),f542(x96173,x96172,x96171))),x96173))+~P24(f337(f337(f251(f893(f892(x96171,x96171),a878)),x96173),f337(f337(f274(x96171,x96171),x96172),f337(f16(f893(x96171,a878),x96171),x96172))))
% 198.24/198.42 [9618]P41(x96181,x96182,x96183)+~P24(f337(f337(f339(f892(x96181,x96181)),f337(f337(f272(x96181,x96181),f550(x96182,x96183,x96181)),f550(x96182,x96183,x96181))),x96183))+~P24(f337(f337(f251(f893(f892(x96181,x96181),a878)),x96183),f337(f337(f274(x96181,x96181),x96182),f337(f16(f893(x96181,a878),x96181),x96182))))
% 198.24/198.42 [9793]~P138(x97931)+~P121(x97931)+E(f337(f337(f295(x97931),f337(f105(x97931),f337(f337(f74(f892(a1,a1),a1,x97932,f271(a1,a1)),f225(x97932)),x97933))),f337(f105(x97931),f337(f337(f74(f892(a1,a1),a1,x97932,f275(a1,a1)),f225(x97932)),x97933))),f235(x97932,x97931,x97933))
% 198.24/198.42 [9993]~E(x99933,f2(a884))+~E(f337(f198(f885(x99931)),f337(f337(f167(f885(x99931)),x99932),f735(x99933,x99931,x99932))),x99933)+E(f337(f337(f156(a884,f885(x99931)),f337(f337(f7(a884,f885(a884),f885(x99931)),f337(f337(f8(f893(a884,x99931),f893(f885(a884),f885(x99931)),a884),f156(a884,x99931)),f337(f7(a884,a884,x99931),f337(f337(f8(f885(x99931),f893(a884,x99931),a884),f167(x99931)),f337(f167(f885(x99931)),x99932))))),f141(a884,f337(f307(a884,f2(a884)),f337(f198(f885(f885(x99931))),x99932))))),f141(a884,f337(f307(a884,f2(a884)),x99933))),f183(x99931,x99932))
% 198.24/198.42 [9994]E(x99941,f116(f885(x99942)))+~E(f337(f198(f885(x99942)),f337(f337(f167(f885(x99942)),x99941),f735(x99943,x99942,x99941))),x99943)+E(f337(f337(f156(a884,f885(x99942)),f337(f337(f7(a884,f885(a884),f885(x99942)),f337(f337(f8(f893(a884,x99942),f893(f885(a884),f885(x99942)),a884),f156(a884,x99942)),f337(f7(a884,a884,x99942),f337(f337(f8(f885(x99942),f893(a884,x99942),a884),f167(x99942)),f337(f167(f885(x99942)),x99941))))),f141(a884,f337(f307(a884,f2(a884)),f337(f198(f885(f885(x99942))),x99941))))),f141(a884,f337(f307(a884,f2(a884)),x99943))),f183(x99942,x99941))
% 198.24/198.42 [9995]~E(x99953,f2(a884))+E(f337(f337(f156(a884,f885(x99951)),f337(f337(f7(a884,f885(a884),f885(x99951)),f337(f337(f8(f893(a884,x99951),f893(f885(a884),f885(x99951)),a884),f156(a884,x99951)),f337(f7(a884,a884,x99951),f337(f337(f8(f885(x99951),f893(a884,x99951),a884),f167(x99951)),f337(f167(f885(x99951)),x99952))))),f141(a884,f337(f307(a884,f2(a884)),f337(f198(f885(f885(x99951))),x99952))))),f141(a884,f337(f307(a884,f2(a884)),x99953))),f183(x99951,x99952))+P24(f337(f337(f252(a884),f735(x99953,x99951,x99952)),f337(f198(f885(f885(x99951))),x99952)))
% 198.24/198.42 [9996]E(x99961,f116(f885(x99962)))+E(f337(f337(f156(a884,f885(x99962)),f337(f337(f7(a884,f885(a884),f885(x99962)),f337(f337(f8(f893(a884,x99962),f893(f885(a884),f885(x99962)),a884),f156(a884,x99962)),f337(f7(a884,a884,x99962),f337(f337(f8(f885(x99962),f893(a884,x99962),a884),f167(x99962)),f337(f167(f885(x99962)),x99961))))),f141(a884,f337(f307(a884,f2(a884)),f337(f198(f885(f885(x99962))),x99961))))),f141(a884,f337(f307(a884,f2(a884)),x99963))),f183(x99962,x99961))+P24(f337(f337(f252(a884),f735(x99963,x99962,x99961)),f337(f198(f885(f885(x99962))),x99961)))
% 198.24/198.42 [7777]E(f337(f337(f81(a884),f337(f106(a884),x77771)),f337(f337(f81(a884),f337(f106(a884),x77772)),x77773)),f337(f337(f81(a884),f337(f106(a884),f337(f337(f81(a1),x77771),x77772))),x77773))+P24(f337(a202,f337(f106(a1),x77771)))+P24(f337(a202,f337(f106(a1),x77772)))
% 198.24/198.42 [8528]~P24(f337(f62(x85281),x85282))+~P24(f337(f337(f339(x85281),x85283),x85282))+E(f337(a115,f337(f38(x85281),f337(f337(f22(f893(x85281,a878)),x85282),f337(f337(f315(x85281),x85283),f197(f893(x85281,a878)))))),f337(f38(x85281),x85282))
% 198.24/198.42 [8544]~P24(f337(f62(x85441),x85442))+~P24(f337(f337(f339(x85441),x85443),x85442))+E(f337(f337(f81(a884),f79(a884)),f337(f38(x85441),f337(f337(f22(f893(x85441,a878)),x85442),f337(f337(f315(x85441),x85443),f197(f893(x85441,a878)))))),f337(f38(x85441),x85442))
% 198.24/198.42 [8628]~P105(x86281)+~P24(f337(f62(x86281),x86283))+E(f337(f337(f150(x86281,x86281,f5(x86281)),x86282),f141(x86281,f337(f337(f22(f893(x86281,a878)),x86283),f337(f337(f315(x86281),x86282),f197(f893(x86281,a878)))))),f141(x86281,f337(f337(f315(x86281),x86282),x86283)))
% 198.24/198.42 [8779]~P24(f337(f62(x87791),x87793))+~P24(f337(f62(x87791),x87792))+E(f337(f337(f81(a884),f337(f38(x87791),f337(f337(f113(f893(x87791,a878)),x87792),x87793))),f337(f38(x87791),f337(f337(f104(f893(x87791,a878)),x87792),x87793))),f337(f337(f81(a884),f337(f38(x87791),x87792)),f337(f38(x87791),x87793)))
% 198.24/198.42 [9941]~P21(x99411,f893(f893(x99411,a878),a878),f337(f337(f7(x99411,f893(f892(x99411,x99411),a878),f893(f893(x99411,a878),a878)),f337(f337(f8(f893(x99411,a878),f893(f893(f892(x99411,x99411),a878),f893(f893(x99411,a878),a878)),x99411),f61(x99411)),f337(f337(f7(x99411,f893(x99411,a878),f893(x99411,a878)),f315(x99411)),f197(f893(x99411,a878))))),x99413),x99412)+~P24(f337(f62(x99411),x99412))+E(f337(f38(f893(x99411,a878)),f337(f337(f61(x99411),x99412),x99413)),f337(f38(x99411),x99412))
% 198.24/198.42 [8043]~P93(x80431)+P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x80433)))+E(f337(f337(f262(x80431),x80432),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),x80433),x80433)),a100))),f79(x80431))
% 198.24/198.42 [9462]~P93(x94621)+~P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),x94623)))+E(f337(f337(f262(x94621),x94622),f337(f106(a884),f337(f337(f22(a1),f337(f337(f81(a1),x94623),x94623)),a100))),f337(f337(f87(x94621,x94621),f337(f337(f262(x94621),x94622),f337(f106(a884),x94623))),f337(f337(f18(x94621,x94621,x94621),f337(f337(f8(x94621,f893(x94621,x94621),x94621),f82(x94621)),f337(f82(x94621),x94622))),f5(x94621))))
% 198.24/198.42 [9853]~P24(f337(f139(x98531),x98533))+~P24(f337(f337(f339(x98531),x98532),f337(f175(x98531),x98533)))+E(f337(f337(f140(x98531),f337(f198(f885(x98531)),f180(x98531,f337(f337(f8(a878,a878,x98531),a332),f337(f337(f7(x98531,x98531,a878),a334),x98532)),f337(f171(x98531),x98533)))),f337(f171(x98531),x98533)),f337(f337(f153(x98531),x98532),f337(f171(x98531),f180(x98531,f337(f337(f8(a878,a878,x98531),a332),f337(f337(f7(x98531,x98531,a878),a334),x98532)),x98533))))
% 198.24/198.42 [9922]P24(f337(f337(f251(f893(f892(x99221,x99221),a878)),f313(x99221,x99222)),x99223))+~P24(f337(f337(f251(f893(f892(x99221,x99221),a878)),f313(x99221,f197(f893(f892(x99221,x99221),a878)))),x99223))+~P24(f337(f337(f251(f893(f892(x99221,x99221),a878)),f337(f337(f294(x99221,x99221,x99221),f337(f337(f104(f893(f892(x99221,x99221),a878)),f313(x99221,x99222)),x99223)),x99222)),x99223))
% 198.24/198.42 [9764]~P24(f337(f62(x97641),f337(f257(x97641),x97643)))+~P24(f337(f62(x97641),f337(f257(x97641),x97642)))+P24(f337(f62(x97641),f337(f257(x97641),f337(f337(f18(x97641,a878,a878),f337(f337(f8(a878,f893(a878,a878),x97641),a336),x97642)),x97643))))
% 198.24/198.42 [10056]P24(f337(f337(f251(f893(f892(x100561,x100561),a878)),f337(f337(f294(x100561,x100561,x100561),x100562),f313(x100561,x100562))),x100563))+~P24(f337(f337(f251(f893(f892(x100561,x100561),a878)),x100562),x100563))+~P24(f337(f337(f251(f893(f892(x100561,x100561),a878)),f337(f337(f294(x100561,x100561,x100561),f337(f337(f104(f893(f892(x100561,x100561),a878)),f337(f337(f294(x100561,x100561,x100561),x100562),f313(x100561,x100562))),x100563)),x100562)),x100563))
% 198.24/198.42 [10009]~P116(x100092)+E(x100091,f2(x100092))+~E(f337(f337(f81(x100092),f337(f337(f262(x100092),x100093),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x100092),x100091),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f2(x100092))
% 198.24/198.42 [10010]~P116(x100102)+E(x100101,f2(x100102))+~E(f337(f337(f81(x100102),f337(f337(f262(x100102),x100101),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x100102),x100103),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f2(x100102))
% 198.24/198.42 [10015]~P24(f337(f139(x100151),x100153))+~P24(f337(f337(f339(x100151),x100152),f337(f175(x100151),x100153)))+E(f337(f171(x100151),f337(f174(x100151),f337(f337(f140(x100151),f337(f198(f885(x100151)),f180(x100151,f337(f337(f8(a878,a878,x100151),a332),f337(f337(f7(x100151,x100151,a878),a334),x100152)),x100153))),x100153))),f180(x100151,f337(f337(f8(a878,a878,x100151),a332),f337(f337(f7(x100151,x100151,a878),a334),x100152)),f337(f171(x100151),x100153)))
% 198.24/198.42 [10100]~P116(x101002)+E(x101001,f2(x101002))+P24(f337(f337(f252(x101002),f2(x101002)),f337(f337(f81(x101002),f337(f337(f262(x101002),x101003),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101002),x101001),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))))
% 198.24/198.42 [10101]~P116(x101012)+E(x101011,f2(x101012))+P24(f337(f337(f252(x101012),f2(x101012)),f337(f337(f81(x101012),f337(f337(f262(x101012),x101011),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101012),x101013),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))))
% 198.24/198.42 [10144]~P116(x101441)+P24(f337(f337(f251(x101441),f2(x101441)),x101442))+~P24(f337(f337(f251(x101441),f2(x101441)),f337(f337(f262(x101441),x101442),f337(a115,f337(f337(f82(a884),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),x101443)))))
% 198.24/198.42 [5547]~P20(x55471,x55474,x55473)+P20(x55471,x55472,x55473)+~P20(x55471,x55472,x55474)
% 198.24/198.42 [5006]~E(x50062,f91(x50063,x50061))+P24(f337(x50061,x50062))+~P24(f337(x50061,x50064))
% 198.24/198.42 [5258]E(f69(x52583,x52582,x52584),x52582)+E(x52581,f767(x52582,x52583,x52584))+~P24(f337(x52584,x52581))
% 198.24/198.42 [6559]E(f69(x65591,x65592,x65593),f86(x65591,x65593))+~E(f809(x65592,x65591,x65593,x65594),x65594)+~P24(f337(x65593,x65594))
% 198.24/198.42 [6765]~P39(x67652,x67654)+~P39(x67651,x67653)+P39(f892(x67651,x67652),f330(x67651,x67652,x67653,x67654))
% 198.24/198.42 [5188]~P5(x51884,x51881)+~E(f337(x51881,x51882),f337(x51881,x51883))+P24(f337(f337(x51881,x51882),x51883))
% 198.24/198.42 [5362]~P5(x53624,x53621)+E(f337(x53621,x53622),f337(x53621,x53623))+~P24(f337(f337(x53621,x53622),x53623))
% 198.24/198.42 [5454]~P14(x54543,x54544,x54541)+E(f337(x54541,x54542),f337(f64(x54543,x54544),x54542))+~P24(f337(f62(x54543),x54542))
% 198.24/198.42 [5455]~P3(x54553,x54554,x54551)+E(f337(x54551,x54552),f337(f64(x54553,x54554),x54552))+~P24(f337(f62(x54553),x54552))
% 198.24/198.42 [5580]~P5(x55804,x55801)+~P24(f337(f337(x55801,x55803),x55802))+P24(f337(f337(x55801,x55802),x55803))
% 198.24/198.42 [5650]E(x56501,x56502)+~E(f337(f271(x56503,x56504),x56501),f337(f271(x56503,x56504),x56502))+~E(f337(f275(x56503,x56504),x56501),f337(f275(x56503,x56504),x56502))
% 198.24/198.42 [5675]E(x56751,x56752)+~P24(f337(f48(x56753,x56754),x56752))+~P24(f337(f48(x56753,x56754),x56751))
% 198.24/198.42 [5868]~P70(x58682)+E(f243(x58681,x58682,x58683,x58684),f2(x58682))+P24(f337(f62(x58681),x58684))
% 198.24/198.42 [6005]~P24(f337(f325(x60051,x60052),x60054))+P24(f337(f325(x60051,x60052),x60053))+~P24(f337(f337(x60052,x60053),x60054))
% 198.24/198.42 [7883]E(x78831,f2(a884))+~P24(f337(x78832,x78833))+P24(f337(x78832,f801(x78832,x78833,x78831,x78834)))
% 198.24/198.42 [7964]~P105(x79642)+~P24(f337(f139(x79641),x79644))+P24(f337(f139(x79641),f152(x79641,x79642,x79643,x79644)))
% 198.24/198.42 [8009]E(f69(x80091,x80092,x80093),f86(x80091,x80093))+~P24(f337(x80093,x80094))+P24(f337(x80093,f809(x80092,x80091,x80093,x80094)))
% 198.24/198.42 [8184]~P24(f337(f62(x81842),x81844))+~P24(f337(f62(x81841),x81843))+P24(f337(f62(f891(x81841,x81842)),f324(x81841,x81842,x81843,x81844)))
% 198.24/198.42 [8185]~P24(f337(f139(x81852),x81854))+~P24(f337(f139(x81851),x81853))+P24(f337(f139(f892(x81851,x81852)),f60(x81851,x81852,x81853,x81854)))
% 198.24/198.42 [8189]P24(f337(f337(f339(f885(x81891)),f337(f337(f136(x81891),x81892),x81893)),f163(x81891,x81894)))+~P24(f337(f337(f339(f885(x81891)),x81893),f163(x81891,x81894)))+~P24(f337(f337(f339(f885(x81891)),x81892),f163(x81891,x81894)))
% 198.24/198.42 [8468]E(x84681,f2(a884))+P24(f337(x84682,x84683))+~P24(f337(x84682,f806(x84682,x84683,x84681,x84684)))
% 198.24/198.42 [8507]~P105(x85073)+~P24(f337(f139(x85071),f152(x85071,x85073,x85074,x85072)))+P24(f337(f139(x85071),x85072))
% 198.24/198.42 [8770]~P24(f337(f337(f339(f892(x87701,x87701)),f337(f337(f272(x87701,x87701),x87702),x87704)),f313(x87701,x87703)))+P24(f337(f337(f339(x87701),x87702),f326(x87701,x87703)))+~P24(f337(f337(f339(x87701),x87704),f326(x87701,x87703)))
% 198.24/198.42 [5172]~P70(x51722)+E(f337(f337(f6(x51721,x51722),x51723),x51724),f2(x51722))+P24(f337(f62(x51721),x51724))
% 198.24/198.42 [5175]~P74(x51752)+E(f337(f337(f9(x51751,x51752),x51753),x51754),f79(x51752))+P24(f337(f62(x51751),x51754))
% 198.24/198.42 [5325]~P71(x53253)+E(x53251,x53252)+~E(f337(f337(f81(x53253),x53254),x53251),f337(f337(f81(x53253),x53254),x53252))
% 198.24/198.42 [5326]~P72(x53263)+E(x53261,x53262)+~E(f337(f337(f81(x53263),x53264),x53261),f337(f337(f81(x53263),x53264),x53262))
% 198.24/198.42 [5328]~P71(x53283)+E(x53281,x53282)+~E(f337(f337(f81(x53283),x53281),x53284),f337(f337(f81(x53283),x53282),x53284))
% 198.24/198.42 [5450]~P28(x54503)+E(x54501,f197(f893(x54502,a878)))+E(f337(f337(f42(x54502,x54503),x54501),f337(f16(x54503,x54502),x54504)),x54504)
% 198.24/198.42 [5451]~P28(x54513)+E(x54511,f197(f893(x54512,a878)))+E(f337(f337(f43(x54512,x54513),x54511),f337(f16(x54513,x54512),x54514)),x54514)
% 198.24/198.42 [5663]~P106(x56633)+E(x56631,x56632)+~E(f308(x56633,x56634,x56631),f337(f337(f315(x56633),x56632),f197(f893(x56633,a878))))
% 198.24/198.42 [5664]~P106(x56643)+E(x56641,x56642)+~E(f308(x56643,x56641,x56642),f337(f337(f315(x56643),x56644),f197(f893(x56643,a878))))
% 198.24/198.42 [5724]~P37(x57243,x57241,x57244)+P37(x57243,x57241,f337(f337(f153(x57243),x57242),x57244))+P24(f337(x57241,x57242))
% 198.24/198.42 [5827]~P33(x58271,x58272,x58274)+~P24(f337(x58272,x58273))+P33(x58271,x58272,f337(f337(f153(x58271),x58273),x58274))
% 198.24/198.42 [5961]P24(f337(x59611,x59612))+~P24(f337(f265(x59613,x59611),x59614))+~P24(f337(f337(f339(x59613),x59612),x59614))
% 198.24/198.42 [5970]~P33(x59701,x59702,x59704)+~P33(x59701,x59702,x59703)+P33(x59701,x59702,f337(f337(f136(x59701),x59703),x59704))
% 198.24/198.42 [5981]P35(x59811,x59812,x59813)+~P35(x59811,x59812,f337(f337(f153(x59811),x59814),x59813))+P24(f337(x59812,x59814))
% 198.24/198.42 [5982]P37(x59821,x59822,x59823)+~P37(x59821,x59822,f337(f337(f153(x59821),x59824),x59823))+P24(f337(x59822,x59824))
% 198.24/198.42 [6058]P35(x60581,x60582,x60583)+P35(x60581,x60582,x60584)+~P35(x60581,x60582,f337(f337(f136(x60581),x60584),x60583))
% 198.24/198.42 [6077]~P70(x60771)+E(f337(f337(f6(a884,x60771),x60772),f337(f307(a884,x60773),f337(a115,x60774))),f2(x60771))+~P24(f337(f337(f252(a884),x60774),x60773))
% 198.24/198.42 [6082]~P27(x60821)+~E(f45(x60821,x60822,x60823),f45(x60821,x60824,x60823))+E(f45(x60821,f337(f80(x60821),x60822),x60823),f45(x60821,f337(f80(x60821),x60824),x60823))
% 198.24/198.42 [6150]P24(f337(x61501,x61502))+~E(f337(f138(x61503,x61501),x61504),x61504)+~P24(f337(f337(f339(x61503),x61502),f337(f175(x61503),x61504)))
% 198.24/198.42 [6169]~E(f337(f337(f81(a884),x61693),x61692),f337(f337(f81(a884),x61691),x61694))+~P24(f337(f337(f252(a884),x61693),x61694))+P24(f337(f337(f252(a884),x61691),x61692))
% 198.24/198.42 [6173]P35(x61731,x61732,x61733)+~P24(f337(x61732,x61734))+~P24(f337(f337(f339(x61731),x61734),f337(f175(x61731),x61733)))
% 198.24/198.42 [6211]~P33(x62113,x62111,x62114)+P24(f337(x62111,x62112))+~P24(f337(f337(f339(x62113),x62112),f337(f175(x62113),x62114)))
% 198.24/198.42 [6213]~E(f337(f138(x62131,x62132),x62133),f116(x62131))+~P24(f337(x62132,x62134))+~P24(f337(f337(f339(x62131),x62134),f337(f175(x62131),x62133)))
% 198.24/198.42 [6214]~E(f180(x62143,x62141,x62144),x62144)+P24(f337(x62141,x62142))+~P24(f337(f337(f339(x62143),x62142),f337(f175(x62143),x62144)))
% 198.24/198.42 [6249]~E(x62494,f197(f893(x62492,a878)))+~E(x62493,f197(f893(x62491,a878)))+E(f324(x62491,x62492,x62493,x62494),f197(f893(f891(x62491,x62492),a878)))
% 198.24/198.42 [6393]P24(f337(x63931,x63932))+~P24(f337(f162(x63933,x63931),x63934))+~P24(f337(f337(f339(x63933),x63932),f337(f175(x63933),x63934)))
% 198.24/198.42 [6664]~P70(x66641)+E(f337(f337(f6(a884,x66641),x66642),f308(a884,x66643,f337(a115,x66644))),f2(x66641))+~P24(f337(f337(f252(a884),f337(a115,x66644)),x66643))
% 198.24/198.42 [6804]~P105(x68041)+E(f337(f337(f22(f893(x68041,a878)),f337(f307(x68041,x68042),x68043)),f337(f307(x68041,x68042),x68044)),f337(f307(x68041,x68044),x68043))+~P24(f337(f337(f251(x68041),x68042),x68044))
% 198.24/198.42 [6876]~E(x68763,x68764)+E(x68761,f2(a884))+P24(f337(f337(f339(x68762),x68763),f337(f175(x68762),f172(x68762,x68761,x68764))))
% 198.24/198.42 [7156]~P24(f337(f337(f339(f885(x71561)),x71564),f163(x71561,x71563)))+P24(f337(f337(f339(x71561),x71562),x71563))+~P24(f337(f337(f339(x71561),x71562),f337(f175(x71561),x71564)))
% 198.24/198.42 [7163]~P39(x71631,x71632)+P24(f337(f337(f339(x71631),f640(x71632,x71631,x71633)),x71633))+~P24(f337(f337(f339(x71631),x71634),x71633))
% 198.24/198.42 [7219]~P70(x72191)+E(f337(f337(f337(f66(x72191,x72192,f81(x72191)),x72193),f2(x72191)),x72194),f337(f337(f6(x72192,x72191),x72193),x72194))+~P24(f337(f62(x72192),x72194))
% 198.24/198.42 [7221]~P74(x72211)+E(f337(f337(f337(f66(x72211,x72212,f82(x72211)),x72213),f79(x72211)),x72214),f337(f337(f9(x72212,x72211),x72213),x72214))+~P24(f337(f62(x72212),x72214))
% 198.24/198.42 [7250]P21(x72501,x72502,x72503,x72504)+~E(f337(f38(x72502),f337(f316(x72501,x72502,x72503),x72504)),f337(f38(x72501),x72504))+~P24(f337(f62(x72501),x72504))
% 198.24/198.42 [7436]~P70(x74361)+E(f337(f337(f81(x74361),f337(x74362,x74363)),f337(f337(f6(a884,x74361),x74362),f310(a884,x74363,x74364))),f337(f337(f6(a884,x74361),x74362),f308(a884,x74363,x74364)))+~P24(f337(f337(f251(a884),x74363),x74364))
% 198.24/198.42 [7446]~P70(x74461)+~P21(x74462,x74461,x74463,x74464)+E(f337(f337(f6(x74461,x74461),f34(x74461)),f337(f316(x74462,x74461,x74463),x74464)),f337(f337(f6(x74462,x74461),x74463),x74464))
% 198.24/198.42 [7447]~P74(x74471)+~P21(x74472,x74471,x74473,x74474)+E(f337(f337(f9(x74471,x74471),f34(x74471)),f337(f316(x74472,x74471,x74473),x74474)),f337(f337(f9(x74472,x74471),x74473),x74474))
% 198.24/198.42 [7501]E(f337(f38(f891(x75011,x75012)),f324(x75011,x75012,x75013,x75014)),f337(f337(f81(a884),f337(f38(x75011),x75013)),f337(f38(x75012),x75014)))+~P24(f337(f62(x75012),x75014))+~P24(f337(f62(x75011),x75013))
% 198.24/198.42 [7587]E(x75871,x75872)+P24(f337(f337(f339(x75873),x75871),f337(f175(x75873),f173(x75873,x75872,x75874))))+~P24(f337(f337(f339(x75873),x75871),f337(f175(x75873),x75874)))
% 198.24/198.42 [7814]~P70(x78141)+E(f337(f337(f81(x78141),f337(f337(f6(a884,x78141),x78142),f337(f307(a884,x78143),x78144))),f337(x78142,x78144)),f337(f337(f6(a884,x78141),x78142),f337(f307(a884,x78143),f337(a115,x78144))))+P24(f337(f337(f252(a884),x78144),x78143))
% 198.24/198.42 [7865]~P21(x78651,x78652,x78653,f260(f893(x78651,a878)))+~P24(f337(f62(x78652),x78654))+P24(f337(f62(x78651),f337(f317(x78651,x78652,x78653),x78654)))
% 198.24/198.42 [7977]P24(f337(f337(f339(f885(x79771)),f337(f337(f153(x79771),x79772),x79773)),f163(x79771,x79774)))+~P24(f337(f337(f339(f885(x79771)),x79773),f163(x79771,x79774)))+~P24(f337(f337(f339(x79771),x79772),x79774))
% 198.24/198.42 [8067]~E(f337(f316(x80673,x80671,x80674),f260(f893(x80673,a878))),f260(f893(x80671,a878)))+P24(f337(f62(x80671),x80672))+~P24(f337(f62(x80673),f337(f317(x80673,x80671,x80674),x80672)))
% 198.24/198.42 [8157]~P21(x81571,x81573,x81574,x81572)+P24(f337(f62(x81571),x81572))+~P24(f337(f62(x81573),f337(f316(x81571,x81573,x81574),x81572)))
% 198.24/198.42 [8178]~E(x81782,x81783)+P24(f337(f337(f339(f892(x81781,x81781)),f337(f337(f272(x81781,x81781),x81782),x81783)),f269(x81781,x81784)))+~P24(f337(f337(f339(x81781),x81782),x81784))
% 198.24/198.42 [8215]~P70(x82151)+E(f337(f337(f81(x82151),f337(f337(f6(a884,x82151),x82152),f308(a884,x82153,x82154))),f337(x82152,f337(a115,x82154))),f337(f337(f6(a884,x82151),x82152),f308(a884,x82153,f337(a115,x82154))))+P24(f337(f337(f252(a884),f337(a115,x82154)),x82153))
% 198.24/198.42 [8279]P24(f337(x82791,x82792))+~P24(f337(x82791,f337(f337(f167(x82793),x82794),f686(x82791,x82794,x82793))))+~P24(f337(f337(f339(x82793),x82792),f337(f175(x82793),x82794)))
% 198.24/198.42 [8417]~P24(f337(f337(f339(x84171),x84172),f326(x84171,x84174)))+P24(f337(f337(f339(f885(x84171)),f337(f337(f153(x84171),x84172),x84173)),f326(f885(x84171),f159(x84171,x84174))))+~P24(f337(f337(f339(f885(x84171)),x84173),f326(f885(x84171),f159(x84171,x84174))))
% 198.24/198.42 [8430]~P21(x84302,x84303,x84304,f643(x84304,x84303,x84302,x84301))+P21(x84302,x84303,x84304,f41(f893(x84302,a878),x84301))+E(x84301,f197(f893(f893(x84302,a878),a878)))
% 198.24/198.42 [8688]E(x86881,x86882)+~P24(f337(f337(f339(f892(x86883,x86883)),f337(f337(f272(x86883,x86883),x86881),x86882)),f313(x86883,x86884)))+P24(f337(f337(f339(x86883),x86881),f337(f270(x86883,x86883),x86884)))
% 198.24/198.42 [8952]E(x89521,f2(a884))+P24(f337(x89522,x89523))+P24(f337(f337(f339(x89524),f806(x89522,x89523,x89521,x89524)),f337(f175(x89524),f172(x89524,x89521,x89523))))
% 198.24/198.42 [8962]E(x89621,f2(a884))+~P24(f337(x89623,x89624))+P24(f337(f337(f339(x89622),f801(x89623,x89624,x89621,x89622)),f337(f175(x89622),f172(x89622,x89621,x89624))))
% 198.24/198.42 [8967]P21(x89672,x89673,x89674,f41(f893(x89672,a878),x89671))+E(x89671,f197(f893(f893(x89672,a878),a878)))+P24(f337(f337(f339(f893(x89672,a878)),f643(x89674,x89673,x89672,x89671)),x89671))
% 198.24/198.42 [9097]P24(f337(f62(x90971),x90972))+~P24(f337(f62(x90974),f337(f316(x90971,x90974,x90973),x90972)))+P24(f337(f337(f339(x90971),f457(x90973,x90974,x90972,x90971)),x90972))
% 198.24/198.42 [9189]~P28(x91892)+E(f337(f337(f65(x91891,x91892,f337(f337(f8(x91892,f893(x91892,x91892),x91891),f113(x91892)),x91893)),f197(x91892)),x91894),f337(f337(f42(x91891,x91892),x91894),x91893))+~P24(f337(f62(x91891),x91894))
% 198.24/198.42 [9190]~P28(x91902)+E(f337(f337(f65(x91901,x91902,f337(f337(f8(x91902,f893(x91902,x91902),x91901),f104(x91902)),x91903)),f260(x91902)),x91904),f337(f337(f43(x91901,x91902),x91904),x91903))+~P24(f337(f62(x91901),x91904))
% 198.24/198.42 [9268]P24(f337(x92681,x92682))+~P24(f337(x92681,f337(f337(f167(x92683),x92684),f756(x92682,x92681,x92684,x92683))))+~P24(f337(f337(f339(x92683),x92682),f337(f175(x92683),x92684)))
% 198.24/198.42 [9290]E(x92901,x92902)+~P24(f337(f337(f339(f892(x92903,x92903)),f337(f337(f272(x92903,x92903),x92901),x92902)),f313(x92903,x92904)))+P24(f337(f337(f339(f892(x92903,x92903)),f337(f337(f272(x92903,x92903),x92901),x92902)),f337(f337(f294(x92903,x92903,x92903),x92904),f313(x92903,x92904))))
% 198.24/198.42 [9334]~E(f337(f198(f885(x93341)),x93342),f337(f198(f885(x93341)),x93343))+~P24(f337(f337(f339(f892(f885(x93341),f885(x93341))),f337(f337(f272(f885(x93341),f885(x93341)),x93342),x93343)),f149(x93341,x93344)))+P24(f337(f337(f339(f892(f885(x93341),f885(x93341))),f337(f337(f272(f885(x93341),f885(x93341)),x93342),x93343)),f147(x93341,x93344)))
% 198.24/198.42 [9564]P33(x95641,f337(f337(f18(x95641,a878,a878),f337(f337(f8(a878,f893(a878,a878),x95641),a336),f337(f337(f8(a878,a878,x95641),a332),x95642))),f337(a334,x95643)),x95644)+~P24(f337(x95642,x95643))+~P37(x95641,x95642,f337(f337(f153(x95641),x95643),x95644))
% 198.24/198.42 [9726]~P33(x97261,f337(f337(f18(x97261,a878,a878),f337(f337(f8(a878,f893(a878,a878),x97261),a336),f337(f337(f8(a878,a878,x97261),a332),x97262))),f337(a334,x97263)),x97264)+~P24(f337(x97262,x97263))+P37(x97261,x97262,f337(f337(f153(x97261),x97263),x97264))
% 198.24/198.42 [9730]~P37(x97301,x97302,x97304)+~P33(x97301,f337(f337(f18(x97301,a878,a878),f337(f337(f8(a878,f893(a878,a878),x97301),a336),f337(f337(f8(a878,a878,x97301),a332),x97302))),f337(a334,x97303)),x97304)+P37(x97301,x97302,f337(f337(f153(x97301),x97303),x97304))
% 198.24/198.42 [9767]~P67(x97671)+E(f337(f337(f6(a884,x97671),f337(f337(f18(a884,x97671,x97671),f337(f337(f8(x97671,f893(x97671,x97671),a884),f22(x97671)),x97672)),f337(f337(f8(a884,x97671,a884),x97672),f337(f337(f7(a884,a884,a884),f81(a884)),f79(a884))))),f308(a884,x97673,x97674)),f2(x97671))+P24(f337(f337(f251(a884),x97673),x97674))
% 198.24/198.42 [10008]~P39(x100082,x100084)+~P21(x100082,x100081,x100083,f260(f893(x100082,a878)))+P39(x100081,f337(f316(f892(x100082,x100082),f892(x100081,x100081),f277(x100082,x100081,x100082,x100081,x100083,x100083)),x100084))
% 198.24/198.42 [10171]~E(f337(f198(f885(x101711)),x101713),f337(f198(f885(x101711)),x101712))+P24(f337(f337(f339(f892(f885(x101711),f885(x101711))),f337(f337(f272(f885(x101711),f885(x101711)),x101712),x101713)),f160(x101711,x101714)))+~P24(f337(f337(f276(x101711,x101711,a878),f337(f337(f7(x101711,f893(f892(x101711,x101711),a878),f893(x101711,a878)),f337(f337(f8(f893(x101711,f893(f893(f892(x101711,x101711),a878),a878)),f893(f893(f892(x101711,x101711),a878),f893(x101711,a878)),x101711),f7(x101711,f893(f892(x101711,x101711),a878),a878)),f337(f337(f8(f893(x101711,f892(x101711,x101711)),f893(x101711,f893(f893(f892(x101711,x101711),a878),a878)),x101711),f337(f8(f892(x101711,x101711),f893(f893(f892(x101711,x101711),a878),a878),x101711),f339(f892(x101711,x101711)))),f272(x101711,x101711)))),x101714)),f675(x101714,x101713,x101712,x101711)))
% 198.24/198.42 [6134]~P26(x61341)+~E(x61342,f2(x61341))+E(f337(f337(f39(x61341),f337(f337(f82(x61341),x61342),x61343)),f337(f337(f82(x61341),x61342),x61344)),f2(x61341))
% 198.24/198.42 [6172]E(x61721,f116(x61722))+E(x61723,f337(f337(f22(a884),f337(f198(f885(x61722)),x61721)),f79(a884)))+E(f146(x61722,f337(f337(f161(x61722,x61721),x61723),x61724)),f146(x61722,x61721))
% 198.24/198.42 [6202]E(x62021,x62022)+P24(f337(x62023,x62022))+~P24(f337(f337(f337(f315(x62024),x62021),x62023),x62022))
% 198.24/198.42 [6218]~P70(x62181)+~P24(f337(f139(x62182),x62184))+E(f337(f168(x62181),f337(f337(f156(x62182,x62181),x62183),x62184)),f337(f337(f6(x62182,x62181),x62183),f337(f175(x62182),x62184)))
% 198.24/198.42 [6242]~P74(x62422)+~P24(f337(f62(x62421),x62424))+E(f337(f337(f9(x62421,x62422),f337(f16(x62422,x62421),x62423)),x62424),f337(f337(f262(x62422),x62423),f337(f38(x62421),x62424)))
% 198.24/198.42 [6297]~P26(x62972)+E(x62971,f2(x62972))+E(f337(f337(f39(x62972),f337(f337(f82(x62972),x62973),x62971)),f337(f337(f82(x62972),x62974),x62971)),f337(f337(f39(x62972),x62973),x62974))
% 198.24/198.42 [6299]~P58(x62992)+E(x62991,f2(x62992))+E(f337(f337(f295(x62992),f337(f337(f82(x62992),x62993),x62991)),f337(f337(f82(x62992),x62994),x62991)),f337(f337(f295(x62992),x62993),x62994))
% 198.24/198.42 [6300]~P58(x63002)+E(x63001,f2(x63002))+E(f337(f337(f295(x63002),f337(f337(f82(x63002),x63001),x63003)),f337(f337(f82(x63002),x63001),x63004)),f337(f337(f295(x63002),x63003),x63004))
% 198.24/198.42 [6301]~P26(x63012)+E(x63011,f2(x63012))+E(f337(f337(f39(x63012),f337(f337(f82(x63012),x63011),x63013)),f337(f337(f82(x63012),x63011),x63014)),f337(f337(f39(x63012),x63013),x63014))
% 198.24/198.42 [6363]P24(f337(x63631,x63632))+~E(x63633,f337(f337(f81(a884),x63634),x63632))+~P24(f337(x63631,f337(f337(f22(a884),x63633),x63634)))
% 198.24/198.42 [6444]P23(x64441,x64442,x64443)+P31(x64441,f565(x64443,x64442,x64441),x64444)+~P24(f337(f337(f339(f882(x64441)),x64444),x64442))
% 198.24/198.42 [6446]~P24(f337(x64462,x64463))+~P24(f337(f162(x64461,x64462),x64464))+P24(f337(f162(x64461,x64462),f337(f337(f153(x64461),x64463),x64464)))
% 198.24/198.42 [6487]E(x64871,f116(x64872))+~E(x64873,f337(f337(f22(a884),f337(f198(f885(x64872)),x64871)),f79(a884)))+E(f146(x64872,f337(f337(f161(x64872,x64871),x64873),x64874)),x64874)
% 198.24/198.42 [6510]~P100(x65101)+~P24(f337(f337(f251(x65101),x65102),x65104))+P24(f337(f337(f251(x65101),x65102),f337(f337(f113(x65101),x65103),x65104)))
% 198.24/198.42 [6511]~P100(x65111)+~P24(f337(f337(f251(x65111),x65112),x65113))+P24(f337(f337(f251(x65111),x65112),f337(f337(f113(x65111),x65113),x65114)))
% 198.24/198.42 [6513]~P105(x65131)+~P24(f337(f337(f251(x65131),x65132),x65134))+P24(f337(f337(f251(x65131),x65132),f337(f337(f250(x65131),x65133),x65134)))
% 198.24/198.42 [6515]~P105(x65151)+~P24(f337(f337(f251(x65151),x65152),x65153))+P24(f337(f337(f251(x65151),x65152),f337(f337(f250(x65151),x65153),x65154)))
% 198.24/198.42 [6516]~P100(x65161)+~P24(f337(f337(f252(x65161),x65162),x65164))+P24(f337(f337(f252(x65161),x65162),f337(f337(f113(x65161),x65163),x65164)))
% 198.24/198.42 [6517]~P100(x65171)+~P24(f337(f337(f252(x65171),x65172),x65173))+P24(f337(f337(f252(x65171),x65172),f337(f337(f113(x65171),x65173),x65174)))
% 198.24/198.42 [6519]~P105(x65191)+~P24(f337(f337(f252(x65191),x65192),x65194))+P24(f337(f337(f252(x65191),x65192),f337(f337(f250(x65191),x65193),x65194)))
% 198.24/198.42 [6521]~P105(x65211)+~P24(f337(f337(f252(x65211),x65212),x65213))+P24(f337(f337(f252(x65211),x65212),f337(f337(f250(x65211),x65213),x65214)))
% 198.24/198.42 [6610]~E(f337(f337(f167(x66101),x66102),x66103),x66104)+E(f337(f337(f161(x66101,x66102),x66103),x66104),x66102)+~P24(f337(f337(f252(a884),x66103),f337(f198(f885(x66101)),x66102)))
% 198.24/198.42 [6650]P24(f337(x66501,x66502))+~P24(f337(x66503,x66502))+~P24(f337(f337(f251(f893(x66504,a878)),x66503),x66501))
% 198.24/198.42 [6681]~E(f337(f337(f161(x66811,x66812),x66813),x66814),x66812)+E(f337(f337(f167(x66811),x66812),x66813),x66814)+~P24(f337(f337(f252(a884),x66813),f337(f198(f885(x66811)),x66812)))
% 198.24/198.42 [6696]~P24(f337(f162(x66961,x66962),x66964))+~P24(f337(f162(x66961,x66962),x66963))+P24(f337(f162(x66961,x66962),f337(f337(f136(x66961),x66963),x66964)))
% 198.24/198.42 [6792]P31(x67921,x67922,x67923)+~P31(x67921,f337(a115,x67922),f566(x67922,x67924,x67921))+~P24(f337(f337(f339(f882(x67921)),x67923),x67924))
% 198.24/198.42 [6801]E(x68011,f197(f893(x68012,a878)))+E(x68013,f197(f893(x68014,a878)))+~E(f337(f337(f274(x68014,x68012),x68013),f337(f16(f893(x68012,a878),x68014),x68011)),f197(f893(f892(x68014,x68012),a878)))
% 198.24/198.42 [6820]E(x68201,x68202)+P24(f337(f337(f339(x68203),x68201),x68204))+~P24(f337(f337(f339(x68203),x68201),f337(f337(f315(x68203),x68202),x68204)))
% 198.24/198.42 [6837]~P105(x68371)+P24(f337(f337(f251(x68371),x68372),x68373))+~P24(f337(f337(f251(x68371),x68372),f337(f337(f249(x68371),x68374),x68373)))
% 198.24/198.42 [6839]~P105(x68391)+P24(f337(f337(f251(x68391),x68392),x68393))+~P24(f337(f337(f251(x68391),x68392),f337(f337(f249(x68391),x68393),x68394)))
% 198.24/198.42 [6841]~P101(x68411)+P24(f337(f337(f251(x68411),x68412),x68413))+~P24(f337(f337(f251(x68411),x68412),f337(f337(f104(x68411),x68414),x68413)))
% 198.24/198.42 [6843]~P101(x68431)+P24(f337(f337(f251(x68431),x68432),x68433))+~P24(f337(f337(f251(x68431),x68432),f337(f337(f104(x68431),x68433),x68434)))
% 198.24/198.42 [6844]~P105(x68441)+P24(f337(f337(f252(x68441),x68442),x68443))+~P24(f337(f337(f252(x68441),x68442),f337(f337(f249(x68441),x68444),x68443)))
% 198.24/198.42 [6845]~P105(x68451)+P24(f337(f337(f252(x68451),x68452),x68453))+~P24(f337(f337(f252(x68451),x68452),f337(f337(f249(x68451),x68453),x68454)))
% 198.24/198.42 [6867]~E(f337(f337(f167(x68671),x68673),x68674),x68672)+P24(f337(f337(f339(x68671),x68672),f337(f175(x68671),x68673)))+~P24(f337(f337(f252(a884),x68674),f337(f198(f885(x68671)),x68673)))
% 198.24/198.42 [6879]~P105(x68791)+~P30(x68791,f337(f337(f153(x68791),x68792),f337(f337(f153(x68791),x68793),x68794)))+P24(f337(f337(f251(x68791),x68792),x68793))
% 198.24/198.42 [7019]~P33(x70192,x70191,x70193)+P24(f337(x70191,f337(f337(f167(x70192),x70193),x70194)))+~P24(f337(f337(f252(a884),x70194),f337(f198(f885(x70192)),x70193)))
% 198.24/198.42 [7038]E(x70381,f2(a1))+E(f337(f337(f39(a1),x70382),x70381),x70383)+~P24(f337(f49(x70382,x70381),f337(f337(f272(a1,a1),x70383),x70384)))
% 198.24/198.42 [7059]E(f45(a1,x70592,x70591),x70593)+E(x70591,f2(a1))+~P24(f337(f49(x70592,x70591),f337(f337(f272(a1,a1),x70594),x70593)))
% 198.24/198.42 [7180]P24(f337(f337(f339(x71801),x71802),x71803))+~P24(f337(f337(f339(x71801),x71802),x71804))+~P24(f337(f337(f252(f893(x71801,a878)),x71804),x71803))
% 198.24/198.42 [7181]P24(f337(f337(f339(x71811),x71812),x71813))+~P24(f337(f337(f339(x71811),x71812),x71814))+~P24(f337(f337(f251(f893(x71811,a878)),x71814),x71813))
% 198.24/198.42 [7290]P35(x72901,x72902,x72903)+~P24(f337(x72902,f337(f337(f167(x72901),x72903),x72904)))+~P24(f337(f337(f252(a884),x72904),f337(f198(f885(x72901)),x72903)))
% 198.24/198.42 [7402]~P107(x74022)+~P24(f337(f337(f252(f893(x74021,x74022)),x74023),x74024))+P24(f337(f337(f251(f893(x74021,x74022)),x74023),x74024))
% 198.24/198.42 [7489]~P20(x74891,x74892,x74894)+P20(x74891,x74892,f337(f337(f315(f882(x74891)),x74893),x74894))+~P20(x74891,x74892,f337(f337(f315(f882(x74891)),x74893),f197(f893(f882(x74891),a878))))
% 198.24/198.42 [7533]~P24(f337(f337(f339(x75331),x75332),x75334))+P24(f337(f337(f339(x75331),x75332),f40(f893(x75331,a878),x75333)))+~P24(f337(f337(f339(f893(x75331,a878)),x75334),x75333))
% 198.24/198.42 [7545]P31(x75451,x75452,x75453)+P24(f337(f337(f339(f882(x75451)),f566(x75452,x75454,x75451)),x75454))+~P24(f337(f337(f339(f882(x75451)),x75453),x75454))
% 198.24/198.42 [7565]~P83(x75651)+~P24(f337(f337(f251(x75651),x75653),x75654))+P24(f337(f337(f251(x75651),f337(f337(f81(x75651),x75652),x75653)),f337(f337(f81(x75651),x75652),x75654)))
% 198.24/198.42 [7566]~P84(x75661)+~P24(f337(f337(f251(x75661),x75663),x75664))+P24(f337(f337(f251(x75661),f337(f337(f81(x75661),x75662),x75663)),f337(f337(f81(x75661),x75662),x75664)))
% 198.24/198.42 [7567]~P83(x75671)+~P24(f337(f337(f251(x75671),x75672),x75674))+P24(f337(f337(f251(x75671),f337(f337(f81(x75671),x75672),x75673)),f337(f337(f81(x75671),x75674),x75673)))
% 198.24/198.42 [7568]~P84(x75681)+~P24(f337(f337(f251(x75681),x75682),x75684))+P24(f337(f337(f251(x75681),f337(f337(f81(x75681),x75682),x75683)),f337(f337(f81(x75681),x75684),x75683)))
% 198.24/198.42 [7569]~P82(x75691)+~P24(f337(f337(f252(x75691),x75693),x75694))+P24(f337(f337(f252(x75691),f337(f337(f81(x75691),x75692),x75693)),f337(f337(f81(x75691),x75692),x75694)))
% 198.24/198.42 [7570]~P83(x75701)+~P24(f337(f337(f252(x75701),x75703),x75704))+P24(f337(f337(f252(x75701),f337(f337(f81(x75701),x75702),x75703)),f337(f337(f81(x75701),x75702),x75704)))
% 198.24/198.42 [7571]~P82(x75711)+~P24(f337(f337(f252(x75711),x75712),x75714))+P24(f337(f337(f252(x75711),f337(f337(f81(x75711),x75712),x75713)),f337(f337(f81(x75711),x75714),x75713)))
% 198.24/198.42 [7572]~P83(x75721)+~P24(f337(f337(f252(x75721),x75722),x75724))+P24(f337(f337(f252(x75721),f337(f337(f81(x75721),x75722),x75723)),f337(f337(f81(x75721),x75724),x75723)))
% 198.24/198.42 [7581]~P108(x75811)+~P94(x75811)+E(f337(f337(f22(x75811),f337(f337(f82(x75811),x75812),f337(f106(x75811),x75813))),f337(f337(f82(x75811),x75814),f337(f106(x75811),x75813))),f337(f337(f82(x75811),f337(f337(f22(x75811),x75812),x75814)),f337(f106(x75811),x75813)))
% 198.24/198.42 [7582]~P136(x75821)+~P94(x75821)+E(f337(f337(f81(x75821),f337(f337(f82(x75821),x75822),f337(f106(x75821),x75823))),f337(f337(f82(x75821),x75824),f337(f106(x75821),x75823))),f337(f337(f82(x75821),f337(f337(f81(x75821),x75822),x75824)),f337(f106(x75821),x75823)))
% 198.24/198.42 [7618]~P70(x76181)+E(f337(f337(f81(x76181),f337(x76182,x76183)),f337(f337(f6(a884,x76181),x76182),f308(a884,f337(a115,x76183),x76184))),f337(f337(f6(a884,x76181),x76182),f308(a884,x76183,x76184)))+~P24(f337(f337(f251(a884),x76183),x76184))
% 198.24/198.42 [7630]~P21(x76302,x76301,x76303,f337(f175(x76302),x76304))+~P24(f337(f139(x76302),x76304))+P24(f337(f139(x76301),f337(f337(f156(x76302,x76301),x76303),x76304)))
% 198.24/198.42 [7677]~P24(f337(f337(f251(a884),x76772),x76774))+~P24(f337(f337(f251(a884),x76771),x76773))+P24(f337(f337(f251(a884),f337(f337(f82(a884),x76771),x76772)),f337(f337(f82(a884),x76773),x76774)))
% 198.24/198.42 [7678]~P24(f337(f337(f251(a884),x76782),x76784))+~P24(f337(f337(f251(a884),x76781),x76783))+P24(f337(f337(f251(a884),f337(f337(f81(a884),x76781),x76782)),f337(f337(f81(a884),x76783),x76784)))
% 198.24/198.42 [7681]~P24(f337(f337(f252(a884),x76812),x76814))+~P24(f337(f337(f252(a884),x76811),x76813))+P24(f337(f337(f252(a884),f337(f337(f81(a884),x76811),x76812)),f337(f337(f81(a884),x76813),x76814)))
% 198.24/198.42 [7682]~P24(f337(f337(f251(a1),x76822),x76824))+~P24(f337(f337(f252(a1),x76821),x76823))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x76821),x76822)),f337(f337(f81(a1),x76823),x76824)))
% 198.24/198.42 [7730]P24(f337(f337(f339(x77301),x77302),x77303))+~P24(f337(f337(f339(x77301),x77302),f41(f893(x77301,a878),x77304)))+~P24(f337(f337(f339(f893(x77301,a878)),x77303),x77304))
% 198.24/198.42 [7746]~P24(f337(x77461,f685(x77461,x77463,x77462)))+P24(f337(x77461,f337(f337(f167(x77462),x77463),x77464)))+~P24(f337(f337(f252(a884),x77464),f337(f198(f885(x77462)),x77463)))
% 198.24/198.42 [7751]P24(f337(x77511,x77512))+~P24(f337(f337(f339(x77514),x77512),f337(f175(x77514),x77513)))+P24(f337(f337(f252(a884),f686(x77511,x77513,x77514)),f337(f198(f885(x77514)),x77513)))
% 198.24/198.42 [7799]~P107(x77991)+~P24(f337(f337(f252(f893(x77992,x77991)),x77994),x77993))+~P24(f337(f337(f251(f893(x77992,x77991)),x77993),x77994))
% 198.24/198.42 [7844]~P24(f337(x78444,x78442))+~P24(f337(f337(f339(x78441),x78442),x78443))+P24(f337(f337(f339(x78441),x78442),f337(f337(f104(f893(x78441,a878)),x78443),f337(f257(x78441),x78444))))
% 198.24/198.42 [7986]~P24(f337(f337(f339(x79861),x79863),x79864))+~P24(f337(f337(f252(f893(x79861,a878)),x79862),x79864))+P24(f337(f337(f252(f893(x79861,a878)),x79862),f337(f337(f315(x79861),x79863),x79864)))
% 198.24/198.42 [7988]E(f337(f337(f104(f893(x79881,a878)),x79882),x79883),f197(f893(x79881,a878)))+~E(f337(f337(f104(f893(x79881,a878)),f40(f893(x79881,a878),x79884)),x79883),f197(f893(x79881,a878)))+~P24(f337(f337(f339(f893(x79881,a878)),x79882),x79884))
% 198.24/198.42 [8063]P24(f337(f337(f339(x80631),x80632),x80633))+~P24(f337(f337(f251(f893(x80631,a878)),x80633),f337(f337(f315(x80631),x80632),x80634)))+P24(f337(f337(f251(f893(x80631,a878)),x80633),x80634))
% 198.24/198.42 [8080]P24(f337(f337(f339(x80802),f685(x80801,x80803,x80802)),f337(f175(x80802),x80803)))+P24(f337(x80801,f337(f337(f167(x80802),x80803),x80804)))+~P24(f337(f337(f252(a884),x80804),f337(f198(f885(x80802)),x80803)))
% 198.24/198.42 [8088]~P24(f337(f337(f251(f893(x80881,a878)),x80882),x80884))+P24(f337(f337(f251(f893(x80881,a878)),x80882),x80883))+~P24(f337(f337(f251(f893(x80881,a878)),x80884),x80883))
% 198.24/198.42 [8089]~P24(f337(f337(f252(f893(x80891,a878)),x80892),x80894))+~P24(f337(f337(f251(f893(x80891,a878)),x80894),x80893))+P24(f337(f337(f252(f893(x80891,a878)),x80892),x80893))
% 198.24/198.42 [8090]~P24(f337(f337(f251(f893(x80901,a878)),x80902),x80904))+~P24(f337(f337(f252(f893(x80901,a878)),x80904),x80903))+P24(f337(f337(f252(f893(x80901,a878)),x80902),x80903))
% 198.24/198.42 [8091]~P24(f337(f337(f252(f893(x80911,a878)),x80912),x80914))+P24(f337(f337(f252(f893(x80911,a878)),x80912),x80913))+~P24(f337(f337(f252(f893(x80911,a878)),x80914),x80913))
% 198.24/198.42 [8131]~P24(f337(f337(f339(x81311),x81314),x81313))+~P24(f337(f337(f252(f893(x81311,a878)),x81312),f337(f337(f315(x81311),x81314),x81313)))+P24(f337(f337(f252(f893(x81311,a878)),x81312),x81313))
% 198.24/198.42 [8142]~P83(x81421)+P24(f337(f337(f251(x81421),x81422),x81423))+~P24(f337(f337(f251(x81421),f337(f337(f81(x81421),x81424),x81422)),f337(f337(f81(x81421),x81424),x81423)))
% 198.24/198.42 [8144]~P83(x81441)+P24(f337(f337(f251(x81441),x81442),x81443))+~P24(f337(f337(f251(x81441),f337(f337(f81(x81441),x81442),x81444)),f337(f337(f81(x81441),x81443),x81444)))
% 198.24/198.42 [8146]~P83(x81461)+P24(f337(f337(f252(x81461),x81462),x81463))+~P24(f337(f337(f252(x81461),f337(f337(f81(x81461),x81464),x81462)),f337(f337(f81(x81461),x81464),x81463)))
% 198.24/198.42 [8148]~P83(x81481)+P24(f337(f337(f252(x81481),x81482),x81483))+~P24(f337(f337(f252(x81481),f337(f337(f81(x81481),x81482),x81484)),f337(f337(f81(x81481),x81483),x81484)))
% 198.24/198.42 [8196]P24(f337(x81961,x81962))+~E(f337(f337(f140(x81963),f337(f198(f885(x81963)),f180(x81963,x81961,x81964))),x81964),f116(x81963))+~P24(f337(f337(f339(x81963),x81962),f337(f175(x81963),x81964)))
% 198.24/198.42 [8322]P24(f337(x83221,x83222))+~P24(f337(f337(f339(x83223),x83222),f337(f175(x83223),x83224)))+P24(f337(f337(f252(a884),f337(f198(f885(x83223)),f337(f138(x83223,x83221),x83224))),f337(f198(f885(x83223)),x83224)))
% 198.24/198.42 [8781]~P24(f337(x87811,f773(x87811,x87813,x87812,x87814)))+P24(f337(x87811,f337(f337(f167(x87812),x87813),x87814)))+~P24(f337(f337(f252(a884),x87814),f337(f198(f885(x87812)),x87813)))
% 198.24/198.42 [8804]~P21(x88044,x88043,x88041,f260(f893(x88044,a878)))+E(f337(x88041,f514(x88042,x88041,x88043,x88044)),x88042)+~P24(f337(f337(f339(x88043),x88042),f337(f316(x88044,x88043,x88041),f260(f893(x88044,a878)))))
% 198.24/198.42 [8869]E(f180(x88691,x88692,x88693),f337(f337(f178(x88691),x88694),x88693))+P24(f337(f337(f252(a884),f749(x88692,x88693,x88691,x88694)),x88694))+P24(f337(f337(f252(a884),x88694),f337(f198(f885(x88691)),x88693)))
% 198.24/198.42 [8872]E(f180(x88721,x88722,x88723),f337(f337(f178(x88721),x88724),x88723))+P24(f337(f337(f252(a884),f749(x88722,x88723,x88721,x88724)),x88724))+P24(f337(x88722,f337(f337(f167(x88721),x88723),x88724)))
% 198.24/198.42 [8901]P24(f337(x89011,x89012))+~P24(f337(f337(f339(x89014),x89012),f337(f175(x89014),x89013)))+P24(f337(f337(f252(a884),f756(x89012,x89011,x89013,x89014)),f337(f198(f885(x89014)),x89013)))
% 198.24/198.42 [8904]E(f180(x89041,x89042,x89043),f337(f337(f178(x89041),x89044),x89043))+P24(f337(f337(f252(a884),x89044),f337(f198(f885(x89041)),x89043)))+P24(f337(f337(f252(a884),f749(x89042,x89043,x89041,x89044)),f337(f198(f885(x89041)),x89043)))
% 198.24/198.42 [8911]E(f180(x89111,x89112,x89113),f337(f337(f178(x89111),x89114),x89113))+P24(f337(x89112,f337(f337(f167(x89111),x89113),x89114)))+P24(f337(f337(f252(a884),f749(x89112,x89113,x89111,x89114)),f337(f198(f885(x89111)),x89113)))
% 198.24/198.42 [8938]~P122(x89384)+P24(f337(f337(f339(x89381),f660(x89382,x89383,x89381,x89384)),x89383))+P24(f337(f337(f252(x89384),f2(x89384)),f337(f337(f9(x89381,x89384),x89382),x89383)))
% 198.24/198.42 [8939]~P122(x89394)+P24(f337(f337(f339(x89391),f795(x89392,x89393,x89391,x89394)),x89393))+P24(f337(f337(f251(x89394),f2(x89394)),f337(f337(f9(x89391,x89394),x89392),x89393)))
% 198.24/198.42 [8969]~P24(f337(f62(x89691),x89694))+P24(f337(f337(f339(x89691),f536(x89692,x89693,x89694,x89691)),x89694))+P24(f337(f62(f892(x89691,x89693)),f337(f337(f274(x89691,x89693),x89694),x89692)))
% 198.24/198.42 [8997]P24(f337(f337(f339(x89972),f773(x89971,x89973,x89972,x89974)),f337(f175(x89972),x89973)))+P24(f337(x89971,f337(f337(f167(x89972),x89973),x89974)))+~P24(f337(f337(f252(a884),x89974),f337(f198(f885(x89972)),x89973)))
% 198.24/198.42 [9126]P24(f337(f337(f251(a884),x91264),f337(f198(f885(x91262)),f180(x91262,x91263,x91261))))+P24(f337(f337(f252(a884),f750(x91261,x91262,x91263,x91264)),x91264))+~P24(f337(f337(f251(a884),x91264),f337(f198(f885(x91262)),x91261)))
% 198.24/198.42 [9230]~E(f337(f337(f181(x92301,x92302),x92303),f763(x92304,x92303,x92302,x92301)),f337(f337(f181(x92301,x92302),x92304),f763(x92304,x92303,x92302,x92301)))+E(f337(f181(x92301,x92302),x92303),f337(f181(x92301,x92302),x92304))+~E(f337(f175(x92301),f337(f337(f156(f892(x92301,x92302),x92301),f271(x92301,x92302)),x92303)),f337(f175(x92301),f337(f337(f156(f892(x92301,x92302),x92301),f271(x92301,x92302)),x92304)))
% 198.24/198.42 [9272]E(f180(x92721,x92722,x92723),f337(f337(f178(x92721),x92724),x92723))+~P24(f337(x92722,f337(f337(f167(x92721),x92723),f749(x92722,x92723,x92721,x92724))))+P24(f337(f337(f252(a884),x92724),f337(f198(f885(x92721)),x92723)))
% 198.24/198.42 [9277]E(f180(x92771,x92772,x92773),f337(f337(f178(x92771),x92774),x92773))+~P24(f337(x92772,f337(f337(f167(x92771),x92773),f749(x92772,x92773,x92771,x92774))))+P24(f337(x92772,f337(f337(f167(x92771),x92773),x92774)))
% 198.24/198.42 [9284]~P24(f337(f62(x92841),x92843))+~P24(f337(f62(x92842),f337(x92844,f536(x92844,x92842,x92843,x92841))))+P24(f337(f62(f892(x92841,x92842)),f337(f337(f274(x92841,x92842),x92843),x92844)))
% 198.24/198.42 [9292]~P122(x92921)+~P24(f337(f337(f251(x92921),f2(x92921)),f337(x92923,f795(x92923,x92924,x92922,x92921))))+P24(f337(f337(f251(x92921),f2(x92921)),f337(f337(f9(x92922,x92921),x92923),x92924)))
% 198.24/198.42 [9293]~P122(x92931)+~P24(f337(f337(f252(x92931),f2(x92931)),f337(x92933,f660(x92933,x92934,x92932,x92931))))+P24(f337(f337(f252(x92931),f2(x92931)),f337(f337(f9(x92932,x92931),x92933),x92934)))
% 198.24/198.42 [9299]~E(f337(f198(f885(x92994)),x92992),f337(f198(f885(x92994)),x92993))+P24(f337(f337(f339(f892(f885(x92994),f885(x92994))),f337(f337(f272(f885(x92994),f885(x92994)),x92993),x92992)),f160(x92994,x92991)))+P24(f337(f337(f252(a884),f693(x92991,x92992,x92993,x92994)),f337(f198(f885(x92994)),x92993)))
% 198.24/198.42 [9348]~P24(f337(x93483,f337(f337(f167(x93482),x93484),f750(x93484,x93482,x93483,x93481))))+P24(f337(f337(f251(a884),x93481),f337(f198(f885(x93482)),f180(x93482,x93483,x93484))))+~P24(f337(f337(f251(a884),x93481),f337(f198(f885(x93482)),x93484)))
% 198.24/198.42 [9424]E(f337(f337(f178(x94241),f694(x94242,x94243,x94244,x94241)),x94243),f337(f337(f178(x94241),f694(x94242,x94243,x94244,x94241)),x94244))+~P24(f337(f337(f339(f892(f885(x94241),f885(x94241))),f337(f337(f272(f885(x94241),f885(x94241)),x94244),x94243)),f149(x94241,x94242)))+P24(f337(f337(f252(a884),f337(f198(f885(x94241)),x94244)),f337(f198(f885(x94241)),x94243)))
% 198.24/198.42 [9481]~P24(f337(f337(f252(a884),f2(a884)),x94813))+~P24(f337(f337(f252(a884),x94814),x94811))+P24(f337(f337(f252(a884),f337(f337(f81(a884),f337(f337(f82(a884),x94811),f45(a884,x94812,x94813))),x94814)),f337(f337(f82(a884),x94811),x94813)))
% 198.24/198.42 [9670]~P107(x96702)+~P24(f337(f337(f251(x96702),f337(x96703,f395(x96704,x96703,x96701,x96702))),f337(x96704,f395(x96704,x96703,x96701,x96702))))+P24(f337(f337(f251(f893(x96701,x96702)),x96703),x96704))
% 198.24/198.42 [9774]~P67(x97741)+E(f337(f337(f6(a884,x97741),f337(f337(f18(a884,x97741,x97741),f337(f337(f8(x97741,f893(x97741,x97741),a884),f22(x97741)),x97742)),f337(f337(f8(a884,x97741,a884),x97742),f337(f337(f7(a884,a884,a884),f81(a884)),f79(a884))))),f308(a884,x97743,x97744)),f337(f337(f22(x97741),f337(x97742,x97743)),f337(x97742,f337(f337(f81(a884),x97744),f79(a884)))))+~P24(f337(f337(f251(a884),x97743),x97744))
% 198.24/198.42 [6871]E(f337(f337(f136(x68711),x68712),x68713),x68714)+~E(x68713,f337(f337(f140(x68711),f337(f198(f885(x68711)),x68712)),x68714))+~E(f337(f337(f178(x68711),f337(f198(f885(x68711)),x68712)),x68714),x68712)
% 198.24/198.42 [6927]~P59(x69272)+E(x69271,f2(x69272))+E(f337(f337(f295(x69272),f337(f337(f262(x69272),x69273),x69274)),f337(f337(f262(x69272),x69271),x69274)),f337(f337(f262(x69272),f337(f337(f295(x69272),x69273),x69271)),x69274))
% 198.24/198.42 [7062]~E(f337(f198(f885(x70621)),x70623),f337(f198(f885(x70622)),x70624))+~P24(f337(f139(x70621),x70623))+E(f187(x70621,x70622,f337(f181(x70621,x70622),f337(f337(f185(x70621,x70622),x70623),x70624))),f337(f175(x70621),x70623))
% 198.24/198.42 [7079]~P101(x70791)+~P24(f337(f337(f251(x70791),x70793),x70794))+P24(f337(f337(f251(x70791),f337(f337(f104(x70791),x70792),x70793)),x70794))
% 198.24/198.42 [7080]~P101(x70801)+~P24(f337(f337(f251(x70801),x70802),x70804))+P24(f337(f337(f251(x70801),f337(f337(f104(x70801),x70802),x70803)),x70804))
% 198.24/198.42 [7082]~P105(x70821)+~P24(f337(f337(f251(x70821),x70823),x70824))+P24(f337(f337(f251(x70821),f337(f337(f249(x70821),x70822),x70823)),x70824))
% 198.24/198.42 [7084]~P105(x70841)+~P24(f337(f337(f251(x70841),x70842),x70844))+P24(f337(f337(f251(x70841),f337(f337(f249(x70841),x70842),x70843)),x70844))
% 198.24/198.42 [7085]~P101(x70851)+~P24(f337(f337(f252(x70851),x70853),x70854))+P24(f337(f337(f252(x70851),f337(f337(f104(x70851),x70852),x70853)),x70854))
% 198.24/198.42 [7086]~P101(x70861)+~P24(f337(f337(f252(x70861),x70862),x70864))+P24(f337(f337(f252(x70861),f337(f337(f104(x70861),x70862),x70863)),x70864))
% 198.24/198.42 [7088]~P105(x70881)+~P24(f337(f337(f252(x70881),x70883),x70884))+P24(f337(f337(f252(x70881),f337(f337(f249(x70881),x70882),x70883)),x70884))
% 198.24/198.42 [7090]~P105(x70901)+~P24(f337(f337(f252(x70901),x70902),x70904))+P24(f337(f337(f252(x70901),f337(f337(f249(x70901),x70902),x70903)),x70904))
% 198.24/198.42 [7111]~P24(f337(x71113,x71114))+~P24(f337(x71112,x71114))+P24(f337(f337(f337(f104(f893(x71111,a878)),x71112),x71113),x71114))
% 198.24/198.42 [7236]P20(x72361,x72362,x72363)+~P20(x72361,x72364,x72363)+~P24(f337(f337(f251(f893(f882(x72361),a878)),x72364),x72362))
% 198.24/198.42 [7237]P20(x72371,x72372,x72373)+~P20(x72371,x72372,x72374)+~P24(f337(f337(f251(f893(f882(x72371),a878)),x72373),x72374))
% 198.24/198.42 [7608]~P70(x76081)+E(f337(f337(f81(x76081),f337(x76082,x76083)),f337(f337(f6(a884,x76081),x76082),f337(f307(a884,f337(a115,x76083)),x76084))),f337(f337(f6(a884,x76081),x76082),f337(f307(a884,x76083),x76084)))+~P24(f337(f337(f252(a884),x76083),x76084))
% 198.24/198.42 [7626]E(x76261,x76262)+P24(f337(f337(f175(x76263),x76264),x76262))+~P24(f337(f337(f175(x76263),f337(f337(f153(x76263),x76261),x76264)),x76262))
% 198.24/198.42 [7638]~P105(x76381)+P24(f337(f337(f251(x76381),x76382),x76383))+~P24(f337(f337(f251(x76381),f337(f337(f250(x76381),x76384),x76382)),x76383))
% 198.24/198.42 [7640]~P105(x76401)+P24(f337(f337(f251(x76401),x76402),x76403))+~P24(f337(f337(f251(x76401),f337(f337(f250(x76401),x76402),x76404)),x76403))
% 198.24/198.42 [7642]~P100(x76421)+P24(f337(f337(f251(x76421),x76422),x76423))+~P24(f337(f337(f251(x76421),f337(f337(f113(x76421),x76424),x76422)),x76423))
% 198.24/198.42 [7644]~P100(x76441)+P24(f337(f337(f251(x76441),x76442),x76443))+~P24(f337(f337(f251(x76441),f337(f337(f113(x76441),x76442),x76444)),x76443))
% 198.24/198.42 [7645]~P105(x76451)+P24(f337(f337(f252(x76451),x76452),x76453))+~P24(f337(f337(f252(x76451),f337(f337(f250(x76451),x76454),x76452)),x76453))
% 198.24/198.42 [7646]~P105(x76461)+P24(f337(f337(f252(x76461),x76462),x76463))+~P24(f337(f337(f252(x76461),f337(f337(f250(x76461),x76462),x76464)),x76463))
% 198.24/198.42 [7722]~P24(f337(f337(f339(x77221),x77222),x77224))+P24(f337(f337(f339(x77221),x77222),x77223))+P24(f337(f337(f339(x77221),x77222),f337(f337(f22(f893(x77221,a878)),x77224),x77223)))
% 198.24/198.42 [7806]P24(f337(x78061,x78062))+P24(f337(x78063,x78062))+~P24(f337(f337(f337(f113(f893(x78064,a878)),x78063),x78061),x78062))
% 198.24/198.42 [7817]~P24(f337(f337(f339(x78171),x78172),x78174))+~P24(f337(f337(f339(x78171),x78172),x78173))+P24(f337(f337(f339(x78171),x78172),f337(f337(f104(f893(x78171,a878)),x78173),x78174)))
% 198.24/198.42 [7866]~P100(x78661)+~P24(f337(f62(x78661),x78664))+E(f337(f337(f65(x78661,x78661,f113(x78661)),x78662),f337(f337(f315(x78661),x78663),x78664)),f337(f337(f113(x78661),x78663),f337(f337(f65(x78661,x78661,f113(x78661)),x78662),x78664)))
% 198.24/198.42 [7867]~P101(x78671)+~P24(f337(f62(x78671),x78674))+E(f337(f337(f65(x78671,x78671,f104(x78671)),x78672),f337(f337(f315(x78671),x78673),x78674)),f337(f337(f104(x78671),x78673),f337(f337(f65(x78671,x78671,f104(x78671)),x78672),x78674)))
% 198.24/198.42 [7868]~P105(x78681)+~P24(f337(f62(x78681),x78684))+E(f337(f337(f65(x78681,x78681,f249(x78681)),x78682),f337(f337(f315(x78681),x78683),x78684)),f337(f337(f249(x78681),x78683),f337(f337(f65(x78681,x78681,f249(x78681)),x78682),x78684)))
% 198.24/198.42 [7869]~P105(x78691)+~P24(f337(f62(x78691),x78694))+E(f337(f337(f65(x78691,x78691,f250(x78691)),x78692),f337(f337(f315(x78691),x78693),x78694)),f337(f337(f250(x78691),x78693),f337(f337(f65(x78691,x78691,f250(x78691)),x78692),x78694)))
% 198.24/198.42 [7870]~P108(x78701)+~P94(x78701)+E(f337(f337(f22(x78701),f337(f337(f82(x78701),f337(f106(x78701),x78702)),x78703)),f337(f337(f82(x78701),f337(f106(x78701),x78702)),x78704)),f337(f337(f82(x78701),f337(f106(x78701),x78702)),f337(f337(f22(x78701),x78703),x78704)))
% 198.24/198.42 [7871]~P136(x78711)+~P94(x78711)+E(f337(f337(f81(x78711),f337(f337(f82(x78711),f337(f106(x78711),x78712)),x78713)),f337(f337(f82(x78711),f337(f106(x78711),x78712)),x78714)),f337(f337(f82(x78711),f337(f106(x78711),x78712)),f337(f337(f81(x78711),x78713),x78714)))
% 198.24/198.42 [7984]E(x79841,x79842)+P24(f337(f337(f339(x79843),x79841),f337(f175(x79843),x79844)))+~P24(f337(f337(f339(x79843),x79841),f337(f175(x79843),f337(f337(f153(x79843),x79842),x79844))))
% 198.24/198.42 [8010]~P57(x80101)+~E(f337(f198(f885(x80102)),x80103),f337(f198(f885(x80101)),f56(x80101)))+E(f337(f337(f181(x80101,x80102),f337(f337(f185(x80101,x80102),f56(x80101)),x80103)),x80104),f337(f209(x80102),f747(x80104,x80103,x80102,x80101)))
% 198.24/198.42 [8155]P51(x81551,x81552,x81553)+~P51(x81551,x81552,x81554)+~P24(f337(f337(f251(f893(f892(x81551,x81552),a878)),x81553),x81554))
% 198.24/198.42 [8199]P24(f337(f337(f339(x81991),x81992),x81993))+P24(f337(f337(f339(x81991),x81992),x81994))+~P24(f337(f337(f339(x81991),x81992),f337(f337(f113(f893(x81991,a878)),x81994),x81993)))
% 198.24/198.42 [8209]~P41(x82091,x82094,x82093)+~P24(f337(f337(f339(x82091),x82092),x82094))+P24(f337(f337(f339(f892(x82091,x82091)),f337(f337(f272(x82091,x82091),x82092),x82092)),x82093))
% 198.24/198.42 [8224]~P24(f337(f62(x82242),x82244))+~P24(f337(f62(x82241),x82243))+P24(f337(f62(f892(x82241,x82242)),f337(f337(f274(x82241,x82242),x82243),f337(f16(f893(x82242,a878),x82241),x82244))))
% 198.24/198.42 [8225]~P24(f337(f337(f339(x82251),x82252),x82254))+~P24(f337(f337(f251(f893(x82251,a878)),x82253),x82254))+P24(f337(f337(f251(f893(x82251,a878)),f337(f337(f315(x82251),x82252),x82253)),x82254))
% 198.24/198.42 [8233]~P74(x82332)+~P142(x82332)+E(f337(f337(f9(x82331,x82332),f337(f337(f8(a884,x82332,x82331),f103(x82332)),x82333)),x82334),f337(f103(x82332),f337(f337(f9(x82331,a884),x82333),x82334)))
% 198.24/198.42 [8234]~P74(x82342)+~P138(x82342)+E(f337(f337(f9(x82341,x82342),f337(f337(f8(a1,x82342,x82341),f105(x82342)),x82343)),x82344),f337(f105(x82342),f337(f337(f9(x82341,a1),x82343),x82344)))
% 198.24/198.42 [8260]E(f337(f337(f22(f893(x82601,a878)),x82602),f337(f337(f22(f893(x82601,a878)),x82603),x82604)),x82604)+~P24(f337(f337(f251(f893(x82601,a878)),x82602),x82603))+~P24(f337(f337(f251(f893(x82601,a878)),x82604),x82602))
% 198.24/198.42 [8354]~P24(f337(f62(x83541),x83544))+E(f337(f337(f22(a884),f337(f337(f6(x83541,a884),x83542),x83543)),f337(f337(f6(x83541,a884),x83542),x83544)),f337(f337(f6(x83541,a884),x83542),f337(f337(f22(f893(x83541,a878)),x83543),x83544)))+~P24(f337(f337(f251(f893(x83541,a878)),x83544),x83543))
% 198.24/198.42 [8503]~P6(x85031,x85034,x85033)+~P24(f337(f337(f339(x85031),x85032),x85034))+P24(f337(f337(f339(x85031),x85032),f337(f291(x85031,x85031,x85033),f337(f337(f315(x85031),x85032),f197(f893(x85031,a878))))))
% 198.24/198.42 [8560]~P24(f337(f337(f251(f893(x85601,a878)),x85602),x85603))+~P24(f337(f337(f251(f893(x85601,a878)),x85602),x85604))+P24(f337(f337(f251(f893(x85601,a878)),x85602),f337(f337(f104(f893(x85601,a878)),x85603),x85604)))
% 198.24/198.42 [8657]E(x86571,f197(f893(x86572,a878)))+P24(f337(f62(x86573),x86574))+~P24(f337(f62(f892(x86573,x86572)),f337(f337(f274(x86573,x86572),x86574),f337(f16(f893(x86572,a878),x86573),x86571))))
% 198.24/198.42 [8658]E(x86581,f197(f893(x86582,a878)))+P24(f337(f62(x86583),x86584))+~P24(f337(f62(f892(x86582,x86583)),f337(f337(f274(x86582,x86583),x86581),f337(f16(f893(x86583,a878),x86582),x86584))))
% 198.24/198.42 [8724]P24(f337(f337(f339(x87241),x87242),f326(x87241,x87243)))+~P24(f337(f337(f339(x87241),x87244),f326(x87241,x87243)))+~P24(f337(f337(f339(f892(x87241,x87241)),f337(f337(f272(x87241,x87241),x87242),x87244)),x87243))
% 198.24/198.42 [8776]~P39(x87761,x87764)+P24(f337(f337(f339(f892(x87761,x87761)),f337(f337(f272(x87761,x87761),x87763),x87762)),f313(x87761,x87764)))+P39(x87761,f337(f337(f315(f892(x87761,x87761)),f337(f337(f272(x87761,x87761),x87762),x87763)),x87764))
% 198.24/198.42 [8777]~P54(x87771,x87774)+P24(f337(f337(f339(f892(x87771,x87771)),f337(f337(f272(x87771,x87771),x87773),x87772)),f313(x87771,x87774)))+P54(x87771,f337(f337(f315(f892(x87771,x87771)),f337(f337(f272(x87771,x87771),x87772),x87773)),x87774))
% 198.24/198.42 [8854]~E(x88542,x88543)+~P24(f337(f337(f339(x88541),x88542),f337(f175(x88541),x88544)))+P24(f337(f337(f339(f892(x88541,x88541)),f337(f337(f272(x88541,x88541),x88542),x88543)),f337(f175(f892(x88541,x88541)),f337(f337(f185(x88541,x88541),x88544),x88544))))
% 198.24/198.42 [8936]~E(x89363,x89364)+P24(f337(f337(f276(x89361,x89361,a878),a334),x89362))+~P24(f337(f337(f339(f892(x89361,x89361)),x89362),f337(f175(f892(x89361,x89361)),f337(f337(f185(x89361,x89361),x89363),x89364))))
% 198.24/198.42 [8984]P24(f337(f337(f339(f892(f885(x89841),f885(x89841))),f337(f337(f272(f885(x89841),f885(x89841)),x89842),x89843)),f149(x89841,x89844)))+~E(f337(f337(f178(x89841),f337(f198(f885(x89841)),x89842)),x89843),x89842)+~P24(f337(f337(f252(a884),f337(f198(f885(x89841)),x89842)),f337(f198(f885(x89841)),x89843)))
% 198.24/198.42 [9078]~P24(f337(f62(x90781),x90784))+P24(f337(f337(f339(x90781),f460(x90782,x90783,x90784,x90781)),x90784))+P24(f337(f62(x90783),f337(f337(f42(x90781,f893(x90783,a878)),x90784),x90782)))
% 198.24/198.42 [9079]~P24(f337(f62(x90791),x90794))+P24(f337(f337(f339(x90791),f469(x90792,x90793,x90794,x90791)),x90794))+P24(f337(f62(x90793),f337(f337(f42(x90791,f893(x90793,a878)),x90794),x90792)))
% 198.24/198.42 [9163]P24(f337(f337(f339(f892(x91631,x91631)),x91632),f337(f337(f294(x91631,x91631,x91631),x91633),f313(x91631,x91633))))+~P24(f337(f337(f252(a884),f2(a884)),x91634))+~P24(f337(f337(f339(f892(x91631,x91631)),x91632),f337(f337(f192(f892(x91631,x91631),a878),x91634),x91633)))
% 198.24/198.42 [9171]~P39(x91711,x91712)+~P24(f337(f337(f339(f892(x91711,x91711)),f337(f337(f272(x91711,x91711),x91714),x91713)),x91712))+~P24(f337(f337(f339(f892(x91711,x91711)),f337(f337(f272(x91711,x91711),x91713),x91714)),x91712))
% 198.24/198.42 [9291]~P24(f337(f62(x92911),x92914))+E(f337(f337(f6(x92911,a884),f337(f337(f8(f893(x92912,a878),a884,x92911),f38(x92912)),x92913)),x92914),f337(f38(f892(x92911,x92912)),f337(f337(f274(x92911,x92912),x92914),x92913)))+P24(f337(f337(f339(x92911),f537(x92913,x92912,x92914,x92911)),x92914))
% 198.24/198.42 [9295]~P24(f337(f139(x92951),x92952))+P24(f337(f139(x92951),f337(f337(f161(x92951,x92952),x92953),x92954)))+P24(f337(f337(f339(x92951),x92954),f337(f337(f22(f893(x92951,a878)),f337(f175(x92951),x92952)),f337(f337(f315(x92951),f337(f337(f167(x92951),x92952),x92953)),f197(f893(x92951,a878))))))
% 198.24/198.42 [9308]~P24(f337(f62(x93082),x93083))+~P24(f337(f62(x93081),f337(x93084,f460(x93084,x93081,x93083,x93082))))+P24(f337(f62(x93081),f337(f337(f42(x93082,f893(x93081,a878)),x93083),x93084)))
% 198.24/198.42 [9309]~P24(f337(f62(x93092),x93093))+~P24(f337(f62(x93091),f337(x93094,f469(x93094,x93091,x93093,x93092))))+P24(f337(f62(x93091),f337(f337(f42(x93092,f893(x93091,a878)),x93093),x93094)))
% 198.24/198.42 [9387]~P24(f337(f337(f339(f892(x93871,x93871)),x93872),f337(f337(f294(x93871,x93871,x93871),x93874),f313(x93871,x93874))))+P24(f337(f337(f339(f892(x93871,x93871)),x93872),f337(f337(f294(x93871,x93871,x93871),x93873),f313(x93871,x93873))))+~P24(f337(f337(f251(f893(f892(x93871,x93871),a878)),x93874),x93873))
% 198.24/198.42 [9394]E(f337(f337(f178(x93941),f694(x93944,x93943,x93942,x93941)),x93943),f337(f337(f178(x93941),f694(x93944,x93943,x93942,x93941)),x93942))+~P24(f337(f337(f339(f892(f885(x93941),f885(x93941))),f337(f337(f272(f885(x93941),f885(x93941)),x93942),x93943)),f149(x93941,x93944)))+E(f337(f337(f178(x93941),f337(f198(f885(x93941)),x93942)),x93943),x93942)
% 198.24/198.42 [9410]~P24(f337(f62(x94101),x94104))+E(f337(f337(f6(x94101,a884),f337(f337(f8(f893(x94102,a878),a884,x94101),f38(x94102)),x94103)),x94104),f337(f38(f892(x94101,x94102)),f337(f337(f274(x94101,x94102),x94104),x94103)))+~P24(f337(f62(x94102),f337(x94103,f537(x94103,x94102,x94104,x94101))))
% 198.24/198.42 [9413]~E(f337(f198(f885(x94131)),x94133),f337(f198(f885(x94131)),x94132))+P24(f337(f337(f339(f892(f885(x94131),f885(x94131))),f337(f337(f272(f885(x94131),f885(x94131)),x94132),x94133)),f160(x94131,x94134)))+P24(f337(f337(f339(f892(x94131,x94131)),f675(x94134,x94133,x94132,x94131)),f337(f175(f892(x94131,x94131)),f337(f337(f185(x94131,x94131),x94132),x94133))))
% 198.24/198.42 [9493]~P24(f337(f337(f339(f892(f885(x94931),f885(x94931))),f337(f337(f272(f885(x94931),f885(x94931)),x94932),x94933)),f149(x94931,x94934)))+E(f337(f337(f178(x94931),f337(f198(f885(x94931)),x94932)),x94933),x94932)+P24(f337(f337(f252(a884),f694(x94934,x94933,x94932,x94931)),f337(f337(f249(a884),f337(f198(f885(x94931)),x94932)),f337(f198(f885(x94931)),x94933))))
% 198.24/198.42 [9494]E(f337(f181(x94941,x94942),x94943),f337(f181(x94941,x94942),x94944))+~E(f337(f175(x94941),f337(f337(f156(f892(x94941,x94942),x94941),f271(x94941,x94942)),x94943)),f337(f175(x94941),f337(f337(f156(f892(x94941,x94942),x94941),f271(x94941,x94942)),x94944)))+P24(f337(f337(f339(x94941),f763(x94943,x94944,x94942,x94941)),f337(f175(x94941),f337(f337(f156(f892(x94941,x94942),x94941),f271(x94941,x94942)),x94944))))
% 198.24/198.42 [9516]~P24(f337(f337(f339(f892(f885(x95161),f885(x95161))),f337(f337(f272(f885(x95161),f885(x95161)),x95162),x95163)),f149(x95161,x95164)))+P24(f337(f337(f252(a884),f337(f198(f885(x95161)),x95162)),f337(f198(f885(x95161)),x95163)))+P24(f337(f337(f252(a884),f694(x95164,x95163,x95162,x95161)),f337(f337(f249(a884),f337(f198(f885(x95161)),x95162)),f337(f198(f885(x95161)),x95163))))
% 198.24/198.42 [9811]~P24(f337(f337(f337(x98111,f666(x98111,x98114,x98113,x98112)),f667(x98111,x98114,x98113,x98112)),f668(x98111,x98114,x98113,x98112)))+P24(f337(f337(f337(x98111,x98112),x98113),x98114))+~P24(f337(f325(f892(f893(a1,f887(f885(a333))),f892(a1,a1)),a323),f337(f337(f272(f893(a1,f887(f885(a333))),f892(a1,a1)),x98112),f337(f337(f272(a1,a1),x98113),x98114))))
% 198.24/198.42 [9889]P24(f337(f337(f337(x98891,x98892),x98893),x98894))+P24(f337(f325(f892(f893(a1,f887(f885(a333))),f892(a1,a1)),a323),f337(f337(f272(f893(a1,f887(f885(a333))),f892(a1,a1)),f666(x98891,x98894,x98893,x98892)),f337(f337(f272(a1,a1),f667(x98891,x98894,x98893,x98892)),f668(x98891,x98894,x98893,x98892)))))+~P24(f337(f325(f892(f893(a1,f887(f885(a333))),f892(a1,a1)),a323),f337(f337(f272(f893(a1,f887(f885(a333))),f892(a1,a1)),x98892),f337(f337(f272(a1,a1),x98893),x98894))))
% 198.24/198.42 [9928]~P24(f337(f337(f339(f892(f885(x99281),f885(x99281))),f337(f337(f272(f885(x99281),f885(x99281)),x99282),x99283)),f149(x99281,x99284)))+E(f337(f337(f178(x99281),f337(f198(f885(x99281)),x99282)),x99283),x99282)+P24(f337(f337(f339(f892(x99281,x99281)),f337(f337(f272(x99281,x99281),f337(f337(f167(x99281),x99282),f694(x99284,x99283,x99282,x99281))),f337(f337(f167(x99281),x99283),f694(x99284,x99283,x99282,x99281)))),x99284))
% 198.24/198.42 [9929]~P24(f337(f337(f339(f892(f885(x99291),f885(x99291))),f337(f337(f272(f885(x99291),f885(x99291)),x99292),x99293)),f149(x99291,x99294)))+P24(f337(f337(f252(a884),f337(f198(f885(x99291)),x99292)),f337(f198(f885(x99291)),x99293)))+P24(f337(f337(f339(f892(x99291,x99291)),f337(f337(f272(x99291,x99291),f337(f337(f167(x99291),x99292),f694(x99294,x99293,x99292,x99291))),f337(f337(f167(x99291),x99293),f694(x99294,x99293,x99292,x99291)))),x99294))
% 198.24/198.42 [9986]~E(f337(f198(f885(x99861)),x99862),f337(f198(f885(x99861)),x99863))+P24(f337(f337(f339(f892(f885(x99861),f885(x99861))),f337(f337(f272(f885(x99861),f885(x99861)),x99862),x99863)),f160(x99861,x99864)))+~P24(f337(f337(f339(f892(x99861,x99861)),f337(f337(f272(x99861,x99861),f337(f337(f167(x99861),x99862),f693(x99864,x99863,x99862,x99861))),f337(f337(f167(x99861),x99863),f693(x99864,x99863,x99862,x99861)))),x99864))
% 198.24/198.42 [10120]~P70(x101201)+~P24(f337(f62(x101202),x101204))+E(f337(f168(x101201),f337(f337(f156(x101202,x101201),x101203),f91(f885(x101202),f337(f337(f18(f885(x101202),a878,a878),f337(f337(f8(a878,f893(a878,a878),f885(x101202)),a335),f337(f337(f7(f885(x101202),f893(x101202,a878),a878),f337(f337(f8(f893(x101202,a878),f893(f893(x101202,a878),a878),f885(x101202)),a334),f175(x101202))),x101204))),f139(x101202))))),f243(x101202,x101201,x101203,x101204))
% 198.24/198.42 [7448]~P58(x74482)+E(x74481,f2(x74482))+E(f337(f337(f295(x74482),f337(f337(f81(x74482),x74483),f337(f337(f82(x74482),x74484),x74481))),x74481),f337(f337(f81(x74482),x74484),f337(f337(f295(x74482),x74483),x74481)))
% 198.24/198.42 [7449]~P26(x74492)+E(x74491,f2(x74492))+E(f337(f337(f39(x74492),f337(f337(f81(x74492),x74493),f337(f337(f82(x74492),x74494),x74491))),x74491),f337(f337(f81(x74492),x74494),f337(f337(f39(x74492),x74493),x74491)))
% 198.24/198.42 [7450]~P26(x74502)+E(x74501,f2(x74502))+E(f337(f337(f39(x74502),f337(f337(f81(x74502),x74503),f337(f337(f82(x74502),x74501),x74504))),x74501),f337(f337(f81(x74502),x74504),f337(f337(f39(x74502),x74503),x74501)))
% 198.24/198.42 [7685]~P59(x76852)+E(x76851,f2(x76852))+E(f337(f337(f295(x76852),f337(f337(f22(x76852),x76853),f337(f337(f82(x76852),x76851),x76854))),x76851),f337(f337(f22(x76852),f337(f337(f295(x76852),x76853),x76851)),x76854))
% 198.24/198.42 [7686]~P58(x76862)+E(x76861,f2(x76862))+E(f337(f337(f295(x76862),f337(f337(f81(x76862),x76863),f337(f337(f82(x76862),x76864),x76861))),x76861),f337(f337(f81(x76862),f337(f337(f295(x76862),x76863),x76861)),x76864))
% 198.24/198.42 [7687]~P59(x76872)+E(x76871,f2(x76872))+E(f337(f337(f295(x76872),f337(f337(f81(x76872),x76873),f337(f337(f82(x76872),x76871),x76874))),x76871),f337(f337(f81(x76872),f337(f337(f295(x76872),x76873),x76871)),x76874))
% 198.24/198.42 [8382]~P24(f337(f162(x83821,x83823),x83824))+~P24(f337(f162(x83821,x83822),x83824))+P24(f337(f162(x83821,f337(f337(f104(f893(x83821,a878)),x83822),x83823)),x83824))
% 198.24/198.42 [8738]~E(f337(f337(f294(x87381,x87381,x87381),x87382),x87384),f197(f893(f892(x87381,x87381),a878)))+~E(f337(f337(f294(x87381,x87381,x87381),x87382),x87383),f197(f893(f892(x87381,x87381),a878)))+E(f337(f337(f294(x87381,x87381,x87381),x87382),f337(f337(f113(f893(f892(x87381,x87381),a878)),x87383),x87384)),f197(f893(f892(x87381,x87381),a878)))
% 198.24/198.42 [8855]~P24(f337(f337(f251(f893(x88551,a878)),x88553),x88554))+~P24(f337(f337(f251(f893(x88551,a878)),x88552),x88554))+P24(f337(f337(f251(f893(x88551,a878)),f337(f337(f113(f893(x88551,a878)),x88552),x88553)),x88554))
% 198.24/198.42 [9224]~P24(f337(f62(x92241),x92244))+~P24(f337(f62(x92241),x92243))+E(f337(f337(f22(a884),f337(f337(f81(a884),f337(f337(f6(x92241,a884),x92242),x92243)),f337(f337(f6(x92241,a884),x92242),x92244))),f337(f337(f6(x92241,a884),x92242),f337(f337(f104(f893(x92241,a878)),x92243),x92244))),f337(f337(f6(x92241,a884),x92242),f337(f337(f113(f893(x92241,a878)),x92243),x92244)))
% 198.24/198.42 [9305]~P24(f337(f337(f339(x93051),x93053),x93052))+~P24(f337(f337(f251(f893(x93051,a878)),x93052),f337(f337(f315(x93051),x93053),x93054)))+P24(f337(f337(f251(f893(x93051,a878)),f337(f337(f22(f893(x93051,a878)),x93052),f337(f337(f315(x93051),x93053),f197(f893(x93051,a878))))),x93054))
% 198.24/198.42 [9466]~P24(f337(f337(f339(x94661),x94663),x94662))+P24(f337(f337(f251(f893(x94661,a878)),x94662),f337(f337(f315(x94661),x94663),x94664)))+~P24(f337(f337(f251(f893(x94661,a878)),f337(f337(f22(f893(x94661,a878)),x94662),f337(f337(f315(x94661),x94663),f197(f893(x94661,a878))))),x94664))
% 198.24/198.42 [9553]~P24(f337(f337(f251(a884),x95531),x95533))+~P24(f337(f337(f252(a884),x95532),x95534))+P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),f337(f337(f272(a884,a884),x95531),x95532)),f337(f337(f272(a884,a884),x95533),x95534))),a35))
% 198.24/198.42 [9554]~P24(f337(f337(f251(a884),x95542),x95544))+~P24(f337(f337(f251(a884),x95541),x95543))+P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),f337(f337(f272(a884,a884),x95541),x95542)),f337(f337(f272(a884,a884),x95543),x95544))),a71))
% 198.24/198.42 [9851]~P24(f337(f337(f339(f885(x98511)),x98514),f163(x98511,x98513)))+~P24(f337(f337(f339(f885(x98511)),x98514),f163(x98511,x98512)))+P24(f337(f162(x98511,f337(f337(f104(f893(x98511,a878)),f337(f337(f7(x98511,f893(x98511,a878),a878),f339(x98511)),x98512)),f337(f337(f7(x98511,f893(x98511,a878),a878),f339(x98511)),x98513))),x98514))
% 198.24/198.42 [9951]~P21(x99511,f893(f893(x99511,a878),a878),f337(f337(f7(x99511,f893(f892(x99511,x99511),a878),f893(f893(x99511,a878),a878)),f337(f337(f8(f893(x99511,a878),f893(f893(f892(x99511,x99511),a878),f893(f893(x99511,a878),a878)),x99511),f61(x99511)),f337(f337(f7(x99511,f893(x99511,a878),f893(x99511,a878)),f315(x99511)),f197(f893(x99511,a878))))),x99513),x99512)+~P24(f337(f337(f339(x99511),x99514),x99512))+E(f337(f337(f22(f893(f893(x99511,a878),a878)),f337(f337(f61(x99511),x99512),x99513)),f337(f337(f61(x99511),f337(f337(f315(x99511),x99514),f197(f893(x99511,a878)))),x99513)),f337(f337(f61(x99511),f337(f337(f22(f893(x99511,a878)),x99512),f337(f337(f315(x99511),x99514),f197(f893(x99511,a878))))),x99513))
% 198.24/198.42 [10085]~P41(x100851,x100852,x100854)+~P24(f337(f337(f339(f892(x100851,x100851)),x100853),x100854))+P24(f337(f337(f276(x100851,x100851,a878),f337(f337(f7(x100851,f893(x100851,a878),f893(x100851,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x100851,a878),f893(x100851,a878)),x100851),f8(a878,a878,x100851)),f337(f337(f8(a878,f893(a878,a878),x100851),a335),f337(f337(f7(x100851,f893(x100851,a878),a878),f339(x100851)),x100852)))),f337(f337(f7(x100851,f893(x100851,a878),a878),f339(x100851)),x100852))),x100853))
% 198.24/198.42 [10097]P24(f337(f62(x100971),x100972))+~P24(f337(f62(x100973),f337(f316(x100971,x100973,x100974),x100972)))+~P24(f337(f62(x100971),f337(f257(x100971),f337(f337(f18(x100971,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100971),a335),f337(f337(f7(x100971,f893(x100971,a878),a878),f339(x100971)),x100972))),f337(f337(f7(x100971,x100973,a878),f337(f337(f8(x100973,f893(x100973,a878),x100971),a334),x100974)),f337(x100974,f457(x100974,x100973,x100972,x100971)))))))
% 198.24/198.42 [8137]~P59(x81372)+E(x81371,f2(x81372))+E(f337(f337(f295(x81372),f337(f337(f22(x81372),f337(f337(f82(x81372),x81371),x81373)),x81374)),x81371),f337(f337(f22(x81372),x81373),f337(f337(f295(x81372),x81374),x81371)))
% 198.24/198.42 [8138]~P59(x81382)+E(x81381,f2(x81382))+E(f337(f337(f295(x81382),f337(f337(f81(x81382),f337(f337(f82(x81382),x81381),x81383)),x81384)),x81381),f337(f337(f81(x81382),x81383),f337(f337(f295(x81382),x81384),x81381)))
% 198.24/198.42 [9012]~E(f337(f337(f294(x90121,x90121,x90121),x90123),x90124),f197(f893(f892(x90121,x90121),a878)))+~E(f337(f337(f294(x90121,x90121,x90121),x90122),x90124),f197(f893(f892(x90121,x90121),a878)))+E(f337(f337(f294(x90121,x90121,x90121),f337(f337(f113(f893(f892(x90121,x90121),a878)),x90122),x90123)),x90124),f197(f893(f892(x90121,x90121),a878)))
% 198.24/198.42 [10028]~P143(x100281)+~P143(x100282)+E(f337(f337(f322(x100281),f337(f337(f7(x100281,a102,f887(f885(a333))),f337(f337(f8(f893(x100282,f887(f885(a333))),f893(a102,f887(f885(a333))),x100281),f322(x100282)),f337(f337(f8(f893(x100282,f892(x100281,x100282)),f893(x100282,f887(f885(a333))),x100281),f337(f8(f892(x100281,x100282),f887(f885(a333)),x100282),x100283)),f272(x100281,x100282)))),x100284)),x100284),f337(f337(f322(f892(x100281,x100282)),x100283),x100284))
% 198.24/198.42 [9759]~P24(f337(f162(x97591,x97593),x97594))+~P24(f337(f162(x97591,x97592),x97594))+P24(f337(f162(x97591,f337(f337(f18(x97591,a878,a878),f337(f337(f8(a878,f893(a878,a878),x97591),a335),x97592)),x97593)),x97594))
% 198.24/198.42 [10020]P24(f337(x100201,f428(x100202,x100203,x100201,x100204)))+~P24(f337(f62(x100204),f337(f257(x100204),x100201)))+P24(f337(f62(x100203),f337(f257(x100203),f337(f337(f8(f893(x100204,a878),a878,x100203),f88(x100204)),f337(f337(f8(f893(x100204,a878),f893(x100204,a878),x100203),f337(f18(x100204,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100204),a335),x100201))),x100202)))))
% 198.24/198.42 [10041]~P24(f337(f62(x100412),f337(f257(x100412),x100413)))+~P24(f337(f62(x100411),f337(f257(x100411),f337(f337(f7(x100411,x100412,a878),x100414),f428(x100414,x100411,x100413,x100412)))))+P24(f337(f62(x100411),f337(f257(x100411),f337(f337(f8(f893(x100412,a878),a878,x100411),f88(x100412)),f337(f337(f8(f893(x100412,a878),f893(x100412,a878),x100411),f337(f18(x100412,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100412),a335),x100413))),x100414)))))
% 198.24/198.42 [5081]~E(x50812,x50814)+E(f172(x50811,x50812,x50813),f172(x50811,x50814,x50815))+~E(x50812,f2(a884))
% 198.24/198.42 [5345]E(x53451,x53452)+~E(f172(x53454,x53453,x53451),f172(x53454,x53455,x53452))+E(x53453,f2(a884))
% 198.24/198.42 [6590]E(x65901,x65902)+~E(f337(x65903,x65901),f337(x65903,x65902))+~P21(x65904,x65905,x65903,f260(f893(x65904,a878)))
% 198.24/198.42 [6749]~E(f337(x67493,x67495),f210(x67492))+~E(f337(x67494,x67495),f210(x67492))+E(f337(f188(x67491,x67492,x67493,x67494),x67495),f210(x67492))
% 198.24/198.42 [7484]E(x74841,x74842)+~P21(x74843,x74844,x74845,f260(f893(x74843,a878)))+~E(f337(f316(x74843,x74844,x74845),x74841),f337(f316(x74843,x74844,x74845),x74842))
% 198.24/198.42 [7739]P21(x77392,x77393,f504(x77394,x77393,x77392,x77391),x77391)+~E(f337(f316(x77393,x77392,x77395),x77394),x77391)+E(x77391,f197(f893(x77392,a878)))
% 198.24/198.42 [8271]~P24(f337(f337(x82713,x82712),x82715))+~P24(f337(f337(x82713,x82714),x82712))+P24(f337(f337(f339(x82711),x82712),f301(x82711,x82713,x82714,x82715)))
% 198.24/198.42 [8272]~P24(f337(f337(x82723,x82722),x82725))+~P24(f337(f337(x82723,x82724),x82722))+P24(f337(f337(f339(x82721),x82722),f304(x82721,x82723,x82724,x82725)))
% 198.24/198.42 [8813]~P21(x88131,x88133,x88135,f260(f893(x88131,a878)))+~P21(x88133,x88132,x88134,f260(f893(x88133,a878)))+P21(x88131,x88132,f337(f74(x88133,x88132,x88131,x88134),x88135),f260(f893(x88131,a878)))
% 198.24/198.42 [9362]P24(f337(f337(f339(f892(x93621,x93621)),f337(f337(f272(x93621,x93621),x93622),x93623)),f313(x93621,x93624)))+~P24(f337(f337(f339(f892(x93621,x93621)),f337(f337(f272(x93621,x93621),x93622),x93625)),f313(x93621,x93624)))+~P24(f337(f337(f339(f892(x93621,x93621)),f337(f337(f272(x93621,x93621),x93625),x93623)),f313(x93621,x93624)))
% 198.24/198.42 [9401]~P105(x94012)+~P24(f337(f139(x94011),x94015))+P24(f337(f139(x94011),f151(x94011,x94012,x94013,x94014,x94015)))
% 198.24/198.42 [5416]~E(x54162,f116(x54161))+E(f337(f337(f136(x54161),x54162),x54163),f337(f337(f153(x54161),x54164),x54165))+~E(x54163,f337(f337(f153(x54161),x54164),x54165))
% 198.24/198.42 [5417]~E(x54172,f116(x54171))+E(f337(f337(f136(x54171),x54172),x54173),f337(f337(f153(x54171),x54174),x54175))+~E(f337(f337(f153(x54171),x54174),x54175),x54173)
% 198.24/198.42 [6545]~E(f337(f198(f885(x65451)),x65455),f337(f198(f885(x65452)),x65454))+E(f337(f337(f156(f892(x65451,x65452),x65452),f275(x65451,x65452)),x65453),x65454)+~E(f337(f337(f185(x65451,x65452),x65455),x65454),x65453)
% 198.24/198.42 [6546]~E(f337(f198(f885(x65461)),x65464),f337(f198(f885(x65462)),x65465))+E(f337(f337(f156(f892(x65461,x65462),x65461),f271(x65461,x65462)),x65463),x65464)+~E(f337(f337(f185(x65461,x65462),x65464),x65465),x65463)
% 198.24/198.42 [7020]~P105(x70201)+~P30(x70201,f337(f337(f156(x70202,x70201),x70203),x70205))+P30(x70201,f337(f337(f156(x70202,x70201),x70203),f337(f138(x70202,x70204),x70205)))
% 198.24/198.42 [7066]~P24(f337(x70663,x70665))+~P24(f337(f337(x70662,x70664),x70665))+P24(f337(f337(f95(x70661,x70662,x70663),x70664),x70665))
% 198.24/198.42 [7164]~P105(x71641)+P30(x71641,f337(f337(f156(x71642,x71641),x71643),f173(x71642,x71644,x71645)))+~P30(x71641,f337(f337(f156(x71642,x71641),x71643),x71645))
% 198.24/198.42 [7187]~P51(x71873,x71872,x71875)+~P51(x71871,x71873,x71874)+P51(x71871,x71872,f337(f337(f294(x71871,x71873,x71872),x71874),x71875))
% 198.24/198.42 [7280]E(x72801,x72802)+~P21(x72803,x72804,x72805,f260(f893(x72803,a878)))+~E(f337(f337(f156(x72803,x72804),x72805),x72801),f337(f337(f156(x72803,x72804),x72805),x72802))
% 198.24/198.42 [7434]~P24(f337(f337(f251(a884),x74341),f337(x74343,x74345)))+P24(f337(f337(f251(a884),x74341),f157(x74342,x74343,x74344)))+~P24(f337(f337(f339(x74342),x74345),f337(f175(x74342),x74344)))
% 198.24/198.42 [7435]~P24(f337(f337(f252(a884),x74351),f337(x74353,x74355)))+P24(f337(f337(f252(a884),x74351),f157(x74352,x74353,x74354)))+~P24(f337(f337(f339(x74352),x74355),f337(f175(x74352),x74354)))
% 198.24/198.42 [7838]P24(f337(x78381,x78382))+~P24(f337(x78381,x78383))+~P24(f337(f337(f339(x78384),x78382),f337(f175(x78384),f172(x78384,x78385,x78383))))
% 198.24/198.42 [7839]P24(f337(x78391,x78392))+~P24(f337(x78391,x78393))+~P24(f337(f337(f339(x78394),x78393),f337(f175(x78394),f172(x78394,x78395,x78392))))
% 198.24/198.42 [7843]~P106(x78431)+P24(f337(f337(f251(f893(x78431,a878)),f308(x78431,x78432,x78433)),f308(x78431,x78434,x78435)))+P24(f337(f337(f251(x78431),x78432),x78433))
% 198.24/198.42 [7864]~P28(x78641)+P24(f337(f337(f251(x78641),f337(f337(f43(x78642,x78641),x78643),x78644)),f337(x78644,x78645)))+~P24(f337(f337(f339(x78642),x78645),x78643))
% 198.24/198.42 [7931]~P21(x79311,x79312,x79314,x79313)+E(f337(f78(x79311,x79312,x79313,x79314),f337(x79314,x79315)),x79315)+~P24(f337(f337(f339(x79311),x79315),x79313))
% 198.24/198.42 [8126]~P24(f337(x81261,x81265))+P24(f337(x81261,f870(x81261,x81262,x81263,x81264)))+~P24(f337(f337(f339(x81264),x81265),x81263))
% 198.24/198.42 [8127]~P24(f337(x81271,x81275))+P24(f337(x81271,f870(x81271,x81272,x81273,x81274)))+~P24(f337(f337(f339(x81274),x81275),x81272))
% 198.24/198.42 [8222]P24(f337(f62(x82221),x82222))+~P24(f337(f62(x82223),x82224))+~P24(f337(f337(f251(f893(x82221,a878)),x82222),f337(f316(x82223,x82221,x82225),x82224)))
% 198.24/198.42 [8386]E(x83861,x83862)+~P21(x83863,x83864,x83865,f337(f337(f113(f893(x83863,a878)),f337(f175(x83863),x83861)),f337(f175(x83863),x83862)))+~E(f337(f337(f156(x83863,x83864),x83865),x83861),f337(f337(f156(x83863,x83864),x83865),x83862))
% 198.24/198.42 [8440]~P106(x84401)+~P24(f337(f337(f252(f893(x84401,a878)),f308(x84401,x84404,x84405)),f308(x84401,x84402,x84403)))+P24(f337(f337(f251(x84401),x84402),x84403))
% 198.24/198.42 [8502]~P21(x85021,x85024,x85025,f260(f893(x85021,a878)))+~P24(f337(f337(f339(x85024),f337(x85025,x85022)),f337(f316(x85021,x85024,x85025),x85023)))+P24(f337(f337(f339(x85021),x85022),x85023))
% 198.24/198.42 [8573]P24(f337(x85731,x85732))+~P24(f337(x85731,f877(x85731,x85733,x85734,x85735)))+~P24(f337(f337(f339(x85735),x85732),x85734))
% 198.24/198.42 [8574]P24(f337(x85741,x85742))+~P24(f337(x85741,f877(x85741,x85743,x85744,x85745)))+~P24(f337(f337(f339(x85745),x85742),x85743))
% 198.24/198.42 [8852]~P21(x88522,x88523,x88521,x88524)+E(f337(x88521,f337(f78(x88522,x88523,x88524,x88521),x88525)),x88525)+~P24(f337(f337(f339(x88523),x88525),f337(f316(x88522,x88523,x88521),x88524)))
% 198.24/198.42 [8957]E(x89571,f116(x89572))+E(f337(f337(f153(x89572),x89573),f696(x89574,x89573,x89575,x89571,x89572)),x89571)+~E(f337(f337(f136(x89572),x89571),x89575),f337(f337(f153(x89572),x89573),x89574))
% 198.24/198.42 [8958]E(x89581,f116(x89582))+E(f337(f337(f153(x89582),x89583),f697(x89584,x89581,x89585,x89583,x89582)),x89581)+~E(f337(f337(f136(x89582),x89581),x89584),f337(f337(f153(x89582),x89583),x89585))
% 198.24/198.42 [8973]E(f337(f337(f153(x89732),x89733),f696(x89734,x89733,x89731,x89735,x89732)),x89735)+~E(f337(f337(f136(x89732),x89735),x89731),f337(f337(f153(x89732),x89733),x89734))+E(x89731,f337(f337(f153(x89732),x89733),x89734))
% 198.24/198.42 [8974]E(f337(f337(f153(x89741),x89742),f697(x89744,x89745,x89743,x89742,x89741)),x89745)+~E(f337(f337(f136(x89741),x89745),x89744),f337(f337(f153(x89741),x89742),x89743))+E(f337(f337(f153(x89741),x89742),x89743),x89744)
% 198.24/198.42 [9049]~E(f337(f316(x90493,x90492,x90494),f260(f893(x90493,a878))),f260(f893(x90492,a878)))+~E(f337(f316(x90491,x90493,x90495),f260(f893(x90491,a878))),f260(f893(x90493,a878)))+E(f337(f316(x90491,x90492,f337(f74(x90493,x90492,x90491,x90494),x90495)),f260(f893(x90491,a878))),f260(f893(x90492,a878)))
% 198.24/198.42 [9407]E(x94071,f116(x94072))+~E(f337(f337(f136(x94072),x94071),x94073),f337(f337(f153(x94072),x94075),x94074))+E(f337(f337(f136(x94072),f697(x94073,x94071,x94074,x94075,x94072)),x94073),x94074)
% 198.24/198.42 [9408]E(x94081,f116(x94082))+~E(f337(f337(f136(x94082),x94081),x94085),f337(f337(f153(x94082),x94084),x94083))+E(f337(f337(f136(x94082),f696(x94083,x94084,x94085,x94081,x94082)),x94085),x94083)
% 198.24/198.42 [9414]E(f337(f337(f136(x94142),f696(x94144,x94143,x94141,x94145,x94142)),x94141),x94144)+~E(f337(f337(f136(x94142),x94145),x94141),f337(f337(f153(x94142),x94143),x94144))+E(x94141,f337(f337(f153(x94142),x94143),x94144))
% 198.24/198.42 [9415]~E(f337(f337(f136(x94151),x94155),x94154),f337(f337(f153(x94151),x94152),x94153))+E(f337(f337(f136(x94151),f697(x94154,x94155,x94153,x94152,x94151)),x94154),x94153)+E(f337(f337(f153(x94151),x94152),x94153),x94154)
% 198.24/198.42 [9416]E(f337(f337(f136(x94161),x94165),f701(x94163,x94162,x94164,x94165,x94161)),x94162)+E(f337(f337(f136(x94161),x94162),f700(x94163,x94162,x94164,x94165,x94161)),x94165)+~E(f337(f337(f136(x94161),x94165),x94164),f337(f337(f136(x94161),x94162),x94163))
% 198.24/198.42 [9450]~P105(x94501)+P30(x94501,f337(f337(f156(x94502,x94501),x94503),f151(x94502,x94501,x94503,x94504,x94505)))+~P30(x94501,f337(f337(f156(x94502,x94501),x94503),x94505))
% 198.24/198.42 [9463]~P55(x94635,x94631,x94634,x94633)+P24(f337(f337(x94631,x94632),f520(x94633,x94634,x94631,x94635,x94632)))+~P24(f337(f337(f339(x94635),x94632),x94634))
% 198.24/198.42 [9565]~P24(f337(f337(f339(f892(x95651,x95651)),f337(f337(f272(x95651,x95651),x95655),x95653)),f313(x95651,x95654)))+P24(f337(f337(f339(f892(x95651,x95651)),f337(f337(f272(x95651,x95651),x95652),x95653)),f337(f337(f294(x95651,x95651,x95651),x95654),f313(x95651,x95654))))+~P24(f337(f337(f339(f892(x95651,x95651)),f337(f337(f272(x95651,x95651),x95652),x95655)),f337(f337(f294(x95651,x95651,x95651),x95654),f313(x95651,x95654))))
% 198.24/198.42 [9566]~P24(f337(f337(f339(f892(x95661,x95661)),f337(f337(f272(x95661,x95661),x95662),x95665)),f313(x95661,x95664)))+P24(f337(f337(f339(f892(x95661,x95661)),f337(f337(f272(x95661,x95661),x95662),x95663)),f337(f337(f294(x95661,x95661,x95661),x95664),f313(x95661,x95664))))+~P24(f337(f337(f339(f892(x95661,x95661)),f337(f337(f272(x95661,x95661),x95665),x95663)),f337(f337(f294(x95661,x95661,x95661),x95664),f313(x95661,x95664))))
% 198.24/198.42 [9569]P24(f337(f337(f339(f892(f885(x95691),f885(x95691))),f337(f337(f272(f885(x95691),f885(x95691)),x95692),x95693)),f160(x95691,f313(x95691,x95694))))+~P24(f337(f337(f339(f892(f885(x95691),f885(x95691))),f337(f337(f272(f885(x95691),f885(x95691)),x95692),x95695)),f160(x95691,f313(x95691,x95694))))+~P24(f337(f337(f339(f892(f885(x95691),f885(x95691))),f337(f337(f272(f885(x95691),f885(x95691)),x95695),x95693)),f160(x95691,f313(x95691,x95694))))
% 198.24/198.42 [9573]E(f337(f337(f136(x95731),x95732),f700(x95733,x95732,x95734,x95735,x95731)),x95735)+E(f337(f337(f136(x95731),f701(x95733,x95732,x95734,x95735,x95731)),x95733),x95734)+~E(f337(f337(f136(x95731),x95732),x95733),f337(f337(f136(x95731),x95735),x95734))
% 198.24/198.42 [9574]E(f337(f337(f136(x95741),x95742),f701(x95743,x95744,x95745,x95742,x95741)),x95744)+E(f337(f337(f136(x95741),f700(x95743,x95744,x95745,x95742,x95741)),x95745),x95743)+~E(f337(f337(f136(x95741),x95742),x95745),f337(f337(f136(x95741),x95744),x95743))
% 198.24/198.42 [9628]P24(f337(f337(f339(f892(x96281,x96281)),f337(f337(f272(x96281,x96281),x96282),x96283)),f337(f337(f294(x96281,x96281,x96281),x96284),f313(x96281,x96284))))+~P24(f337(f337(f339(f892(x96281,x96281)),f337(f337(f272(x96281,x96281),x96282),x96285)),f337(f337(f294(x96281,x96281,x96281),x96284),f313(x96281,x96284))))+~P24(f337(f337(f339(f892(x96281,x96281)),f337(f337(f272(x96281,x96281),x96285),x96283)),f337(f337(f294(x96281,x96281,x96281),x96284),f313(x96281,x96284))))
% 198.24/198.42 [9655]P36(x96551,x96552,x96553,x96554,x96555)+~E(f337(f198(f885(x96551)),x96554),f337(f198(f885(x96552)),x96555))+~P24(f337(f337(f276(x96551,x96552,a878),x96553),f752(x96555,x96554,x96553,x96552,x96551)))
% 198.24/198.42 [9656]P36(x96561,x96562,x96563,x96564,x96565)+~E(f337(f198(f885(x96561)),x96564),f337(f198(f885(x96562)),x96565))+~P24(f337(f337(f276(x96561,x96562,a878),x96563),f757(x96563,x96565,x96564,x96562,x96561)))
% 198.24/198.42 [9661]E(f337(f337(f136(x96611),f700(x96612,x96613,x96614,x96615,x96611)),x96614),x96612)+~E(f337(f337(f136(x96611),x96613),x96612),f337(f337(f136(x96611),x96615),x96614))+E(f337(f337(f136(x96611),f701(x96612,x96613,x96614,x96615,x96611)),x96612),x96614)
% 198.24/198.42 [9676]~P105(x96762)+E(f337(f337(f150(x96761,x96762,x96763),x96764),x96765),f337(f337(f153(x96761),x96764),x96765))+P24(f337(f337(f339(x96761),f776(x96764,x96763,x96765,x96761,x96762)),f337(f175(x96761),x96765)))
% 198.24/198.42 [9681]~P55(x96811,x96814,x96813,x96812)+~P24(f337(f337(f339(x96811),x96815),x96813))+P24(f337(f337(f339(x96811),f520(x96812,x96813,x96814,x96811,x96815)),x96812))
% 198.24/198.42 [9802]~P24(f337(f337(f339(f892(f893(x98021,a878),f893(x98021,a878))),f337(f337(f272(f893(x98021,a878),f893(x98021,a878)),x98024),x98023)),f329(x98021,x98022)))+~P24(f337(f337(f339(x98021),x98025),x98024))+P24(f337(f337(f339(x98021),f584(x98022,x98023,x98024,x98021,x98025)),x98023))
% 198.24/198.42 [9814]~P105(x98142)+E(f337(f337(f150(x98141,x98142,x98143),x98144),x98145),f337(f337(f153(x98141),x98144),x98145))+~P24(f337(f337(f251(x98142),f337(x98143,x98144)),f337(x98143,f776(x98144,x98143,x98145,x98141,x98142))))
% 198.24/198.42 [10003]P36(x100031,x100032,x100033,x100034,x100035)+~E(f337(f198(f885(x100031)),x100034),f337(f198(f885(x100032)),x100035))+~P24(f337(f337(x100033,f337(f337(f167(x100031),x100034),f758(x100035,x100034,x100033,x100032,x100031))),f337(f337(f167(x100032),x100035),f758(x100035,x100034,x100033,x100032,x100031))))
% 198.24/198.42 [10004]P36(x100041,x100042,x100043,x100044,x100045)+~E(f337(f198(f885(x100041)),x100044),f337(f198(f885(x100042)),x100045))+~P24(f337(f337(x100043,f337(f337(f167(x100041),x100044),f766(x100043,x100045,x100042,x100044,x100041))),f337(f337(f167(x100042),x100045),f766(x100043,x100045,x100042,x100044,x100041))))
% 198.24/198.42 [6619]~P13(x66192,x66195,x66191)+~P24(f337(f62(x66192),x66194))+E(f337(x66191,f337(f337(f315(x66192),x66193),x66194)),f337(f337(f65(x66192,x66192,x66195),x66193),x66194))
% 198.24/198.42 [6620]~E(x66203,x66204)+~E(x66202,x66205)+E(f337(f337(f315(x66201),x66202),f337(f337(f315(x66201),x66203),f197(f893(x66201,a878)))),f337(f337(f315(x66201),x66204),f337(f337(f315(x66201),x66205),f197(f893(x66201,a878)))))
% 198.24/198.42 [6630]P24(f337(x66302,x66305))+E(f180(x66301,x66302,f337(f337(f136(x66301),x66303),x66304)),f180(x66301,x66302,x66303))+~P24(f337(f337(f339(x66301),x66305),f337(f175(x66301),x66303)))
% 198.24/198.42 [6667]E(f337(x66671,x66672),f197(f893(x66673,a878)))+~E(f337(f337(f42(x66674,f893(x66673,a878)),x66675),x66671),f197(f893(x66673,a878)))+~P24(f337(f337(f339(x66674),x66672),x66675))
% 198.24/198.42 [6668]E(f337(x66681,x66682),f260(f893(x66683,a878)))+~E(f337(f337(f43(x66684,f893(x66683,a878)),x66685),x66681),f260(f893(x66683,a878)))+~P24(f337(f337(f339(x66684),x66682),x66685))
% 198.24/198.42 [7174]~E(x71742,x71744)+~P140(x71741)+E(f337(f337(f81(x71741),f337(f337(f82(x71741),x71742),x71743)),f337(f337(f82(x71741),x71744),x71745)),f337(f337(f81(x71741),f337(f337(f82(x71741),x71742),x71745)),f337(f337(f82(x71741),x71744),x71743)))
% 198.24/198.42 [7235]~P28(x72351)+~P24(f337(f337(f339(x72354),x72353),x72355))+P24(f337(f337(f251(x72351),f337(x72352,x72353)),f337(f337(f42(x72354,x72351),x72355),x72352)))
% 198.24/198.42 [7285]~P107(x72851)+P24(f337(f337(f251(x72851),f337(x72852,x72853)),f337(x72854,x72853)))+~P24(f337(f337(f251(f893(x72855,x72851)),x72852),x72854))
% 198.24/198.42 [7403]E(x74031,x74032)+E(x74033,x74031)+~E(f337(f337(f315(x74034),x74031),f337(f337(f315(x74034),x74035),f197(f893(x74034,a878)))),f337(f337(f315(x74034),x74032),f337(f337(f315(x74034),x74033),f197(f893(x74034,a878)))))
% 198.24/198.42 [7404]E(x74041,x74042)+E(x74043,x74041)+~E(f337(f337(f315(x74044),x74043),f337(f337(f315(x74044),x74042),f197(f893(x74044,a878)))),f337(f337(f315(x74044),x74045),f337(f337(f315(x74044),x74041),f197(f893(x74044,a878)))))
% 198.24/198.42 [7405]E(x74051,x74052)+E(x74051,x74053)+~E(f337(f337(f315(x74054),x74053),f337(f337(f315(x74054),x74052),f197(f893(x74054,a878)))),f337(f337(f315(x74054),x74055),f337(f337(f315(x74054),x74051),f197(f893(x74054,a878)))))
% 198.24/198.42 [7406]E(x74061,x74062)+E(x74061,x74063)+~E(f337(f337(f315(x74064),x74061),f337(f337(f315(x74064),x74065),f197(f893(x74064,a878)))),f337(f337(f315(x74064),x74062),f337(f337(f315(x74064),x74063),f197(f893(x74064,a878)))))
% 198.24/198.42 [7941]P21(x79411,x79412,x79413,x79414)+~P21(x79411,x79412,x79413,x79415)+~P24(f337(f337(f251(f893(x79411,a878)),x79414),x79415))
% 198.24/198.42 [8116]E(x81161,x81162)+~E(f337(f316(x81163,x81164,x81165),x81161),f337(f316(x81163,x81164,x81165),x81162))+~P21(x81163,x81164,x81165,f337(f337(f113(f893(x81163,a878)),x81161),x81162))
% 198.24/198.42 [8188]P24(f337(x81882,x81884))+E(f337(f337(f140(x81881),f337(f198(f885(x81881)),f180(x81881,x81882,x81883))),x81883),f337(f337(f153(x81881),x81884),x81885))+~E(f337(f337(f136(x81881),f180(x81881,x81882,x81883)),f337(f337(f153(x81881),x81884),x81885)),x81883)
% 198.24/198.42 [8219]~P21(x82191,x82192,x82193,x82195)+~P21(x82191,x82192,x82193,x82194)+P21(x82191,x82192,x82193,f337(f337(f104(f893(x82191,a878)),x82194),x82195))
% 198.24/198.42 [8329]~P70(x83291)+E(f337(f337(f81(x83291),f337(x83292,x83293)),f337(f168(x83291),f337(f337(f156(x83294,x83291),x83292),f173(x83294,x83293,x83295)))),f337(f168(x83291),f337(f337(f156(x83294,x83291),x83292),x83295)))+~P24(f337(f337(f339(x83294),x83293),f337(f175(x83294),x83295)))
% 198.24/198.42 [8416]~P105(x84161)+~P30(x84161,f337(f337(f156(x84162,x84161),x84163),x84165))+P30(x84161,f337(f337(f156(x84162,x84161),x84163),f337(f337(f150(x84162,x84161,x84163),x84164),x84165)))
% 198.24/198.42 [8498]~P28(x84981)+P24(f337(f337(f251(x84981),f337(f337(f42(x84982,x84981),x84983),x84984)),f337(f337(f42(x84982,x84981),x84985),x84984)))+~P24(f337(f337(f251(f893(x84982,a878)),x84983),x84985))
% 198.24/198.42 [8499]~P28(x84991)+P24(f337(f337(f251(x84991),f337(f337(f43(x84992,x84991),x84993),x84994)),f337(f337(f43(x84992,x84991),x84995),x84994)))+~P24(f337(f337(f251(f893(x84992,a878)),x84995),x84993))
% 198.24/198.42 [8530]~P105(x85303)+P24(f337(f139(x85301),x85302))+~P24(f337(f139(x85301),f337(f337(f150(x85301,x85303,x85304),x85305),x85302)))
% 198.24/198.42 [8666]~P105(x86661)+~P24(f337(f337(f339(x86662),x86663),f337(f175(x86662),x86664)))+~P24(f337(f139(x86662),f337(f337(f150(x86662,x86661,x86665),x86663),x86664)))
% 198.24/198.42 [8748]~P105(x87481)+P30(x87481,f337(f337(f156(x87482,x87481),x87483),x87484))+~P30(x87481,f337(f337(f156(x87482,x87481),x87483),f337(f337(f150(x87482,x87481,x87483),x87485),x87484)))
% 198.24/198.42 [8840]~P105(x88402)+E(f337(f337(f150(x88401,x88402,x88403),x88404),x88405),f151(x88401,x88402,x88403,x88404,x88405))+P24(f337(f337(f339(x88402),f337(x88403,x88404)),f337(f316(x88401,x88402,x88403),f337(f175(x88401),x88405))))
% 198.24/198.42 [8914]~P105(x89142)+E(f151(x89141,x89142,x89143,x89144,x89145),x89145)+~P24(f337(f337(f339(x89142),f337(x89143,x89144)),f337(f316(x89141,x89142,x89143),f337(f175(x89141),x89145))))
% 198.24/198.42 [8929]~P21(x89292,x89291,x89293,x89295)+P24(f337(f337(f252(f893(x89291,a878)),f337(f316(x89292,x89291,x89293),x89294)),f337(f316(x89292,x89291,x89293),x89295)))+~P24(f337(f337(f252(f893(x89292,a878)),x89294),x89295))
% 198.24/198.42 [9090]~P21(x90901,x90902,x90903,f260(f893(x90901,a878)))+~P24(f337(f337(f251(f893(x90902,a878)),x90904),f337(f316(x90901,x90902,x90903),x90905)))+P24(f337(f337(f251(f893(x90901,a878)),f337(f317(x90901,x90902,x90903),x90904)),x90905))
% 198.24/198.42 [9110]~E(f337(f316(x91103,x91101,x91104),f260(f893(x91103,a878))),f260(f893(x91101,a878)))+P24(f337(f337(f251(f893(x91101,a878)),x91102),f337(f316(x91103,x91101,x91104),x91105)))+~P24(f337(f337(f251(f893(x91103,a878)),f337(f317(x91103,x91101,x91104),x91102)),x91105))
% 198.24/198.42 [9136]~E(f337(f209(x91362),x91364),f337(f337(f181(x91361,x91362),x91365),x91363))+~P24(f337(f139(x91361),f337(f337(f156(f892(x91361,x91362),x91361),f271(x91361,x91362)),x91365)))+P24(f337(f337(f339(f892(x91361,x91362)),f337(f337(f272(x91361,x91362),x91363),x91364)),f337(f175(f892(x91361,x91362)),x91365)))
% 198.24/198.42 [9216]~P21(x92161,x92164,x92165,f260(f893(x92161,a878)))+~P24(f337(f337(f251(f893(x92164,a878)),f337(f316(x92161,x92164,x92165),x92162)),f337(f316(x92161,x92164,x92165),x92163)))+P24(f337(f337(f251(f893(x92161,a878)),x92162),x92163))
% 198.24/198.42 [9278]E(f337(f209(x92781),x92782),f337(f337(f181(x92783,x92781),x92784),x92785))+~P24(f337(f139(x92783),f337(f337(f156(f892(x92783,x92781),x92783),f271(x92783,x92781)),x92784)))+~P24(f337(f337(f339(f892(x92783,x92781)),f337(f337(f272(x92783,x92781),x92785),x92782)),f337(f175(f892(x92783,x92781)),x92784)))
% 198.24/198.42 [9280]E(f337(f337(f181(x92801,x92802),x92803),x92804),f337(f209(x92802),x92805))+~P24(f337(f139(x92801),f337(f337(f156(f892(x92801,x92802),x92801),f271(x92801,x92802)),x92803)))+~P24(f337(f337(f339(f892(x92801,x92802)),f337(f337(f272(x92801,x92802),x92804),x92805)),f337(f175(f892(x92801,x92802)),x92803)))
% 198.24/198.42 [9330]~P81(x93301)+~E(f337(x93303,f739(x93303,x93304,x93305,x93302,x93301)),f2(x93301))+E(f337(f168(x93301),f337(f337(f156(x93302,x93301),x93303),f337(f138(x93302,x93304),x93305))),f337(f168(x93301),f337(f337(f156(x93302,x93301),x93303),x93305)))
% 198.24/198.42 [9509]~P12(x95091,x95092,x95093)+~P24(f337(f62(x95091),x95095))+P24(f337(f67(x95091,x95092,x95093,x95094,x95095),f337(f337(f65(x95091,x95092,x95093),x95094),x95095)))
% 198.24/198.42 [9586]P24(f337(x95861,f657(x95862,x95861,x95863,x95864,x95865)))+~P24(f337(f337(f251(f893(x95865,a878)),x95864),x95863))+P24(f337(f337(f251(f893(x95865,a878)),f337(f337(f104(f893(x95865,a878)),x95864),f337(f257(x95865),x95861))),f337(f337(f104(f893(x95865,a878)),x95863),f337(f257(x95865),x95862))))
% 198.24/198.42 [9600]~P81(x96001)+~P24(f337(x96004,f739(x96003,x96004,x96005,x96002,x96001)))+E(f337(f168(x96001),f337(f337(f156(x96002,x96001),x96003),f337(f138(x96002,x96004),x96005))),f337(f168(x96001),f337(f337(f156(x96002,x96001),x96003),x96005)))
% 198.24/198.42 [9679]~P28(x96795)+P24(f337(f337(f339(x96791),f626(x96792,x96793,x96791,x96794,x96795)),x96793))+P24(f337(f337(f251(x96795),x96794),f337(f337(f43(x96791,x96795),x96793),x96792)))
% 198.24/198.42 [9682]~P81(x96821)+E(f337(f168(x96821),f337(f337(f156(x96822,x96821),x96823),f337(f138(x96822,x96824),x96825))),f337(f168(x96821),f337(f337(f156(x96822,x96821),x96823),x96825)))+P24(f337(f337(f339(x96822),f739(x96823,x96824,x96825,x96822,x96821)),f337(f175(x96822),x96825)))
% 198.24/198.42 [9692]~P24(f337(x96925,f657(x96925,x96923,x96924,x96922,x96921)))+~P24(f337(f337(f251(f893(x96921,a878)),x96922),x96924))+P24(f337(f337(f251(f893(x96921,a878)),f337(f337(f104(f893(x96921,a878)),x96922),f337(f257(x96921),x96923))),f337(f337(f104(f893(x96921,a878)),x96924),f337(f257(x96921),x96925))))
% 198.24/198.42 [9727]P36(x97271,x97272,x97273,x97274,x97275)+~E(f337(f198(f885(x97272)),x97275),f337(f198(f885(x97271)),x97274))+P24(f337(f337(f252(a884),f758(x97275,x97274,x97273,x97272,x97271)),f337(f198(f885(x97271)),x97274)))
% 198.24/198.42 [9728]P36(x97281,x97282,x97283,x97284,x97285)+~E(f337(f198(f885(x97282)),x97285),f337(f198(f885(x97281)),x97284))+P24(f337(f337(f252(a884),f766(x97283,x97285,x97282,x97284,x97281)),f337(f198(f885(x97281)),x97284)))
% 198.24/198.42 [9761]P24(f337(f337(f339(x97611),f657(x97612,x97613,x97614,x97615,x97611)),x97615))+~P24(f337(f337(f251(f893(x97611,a878)),x97615),x97614))+P24(f337(f337(f251(f893(x97611,a878)),f337(f337(f104(f893(x97611,a878)),x97615),f337(f257(x97611),x97613))),f337(f337(f104(f893(x97611,a878)),x97614),f337(f257(x97611),x97612))))
% 198.24/198.42 [9815]~P28(x98151)+~P24(f337(f337(f251(x98151),x98152),f337(x98155,f626(x98155,x98154,x98153,x98152,x98151))))+P24(f337(f337(f251(x98151),x98152),f337(f337(f43(x98153,x98151),x98154),x98155)))
% 198.24/198.42 [9849]~P74(x98491)+~P24(f337(f62(x98492),x98495))+E(f337(f337(f337(f66(x98491,x98492,f82(x98491)),f337(f337(f18(x98492,x98491,x98491),f337(f337(f8(x98491,f893(x98491,x98491),x98492),f82(x98491)),x98493)),x98494)),f79(x98491)),x98495),f337(f337(f82(x98491),f337(f337(f337(f66(x98491,x98492,f82(x98491)),x98493),f79(x98491)),x98495)),f337(f337(f337(f66(x98491,x98492,f82(x98491)),x98494),f79(x98491)),x98495)))
% 198.24/198.42 [9910]~P24(f337(f337(f339(f892(f893(x99101,a878),f893(x99101,a878))),f337(f337(f272(f893(x99101,a878),f893(x99101,a878)),x99105),x99104)),f329(x99101,x99103)))+~P24(f337(f337(f339(x99101),x99102),x99105))+P24(f337(f337(f339(f892(x99101,x99101)),f337(f337(f272(x99101,x99101),x99102),f584(x99103,x99104,x99105,x99101,x99102))),x99103))
% 198.24/198.42 [10038]~P24(f337(f337(f339(f892(f885(x100381),f885(x100381))),f337(f337(f272(f885(x100381),f885(x100381)),f337(f337(f136(x100381),x100385),x100382)),f337(f337(f136(x100381),x100385),x100383))),f149(x100381,x100384)))+P24(f337(f337(f339(f892(f885(x100381),f885(x100381))),f337(f337(f272(f885(x100381),f885(x100381)),x100382),x100383)),f149(x100381,x100384)))+P24(f337(f337(f339(f892(x100381,x100381)),f337(f337(f272(x100381,x100381),f703(x100384,x100383,x100382,x100385,x100381)),f703(x100384,x100383,x100382,x100385,x100381))),x100384))
% 198.24/198.42 [7214]~E(f337(f198(f885(x72141)),x72143),f337(f198(f885(x72142)),x72144))+E(f337(f337(f181(x72141,x72142),f337(f337(f185(x72141,x72142),x72143),x72144)),x72145),f210(x72142))+P24(f337(f337(f339(x72141),x72145),f337(f175(x72141),x72143)))
% 198.24/198.42 [7288]~E(x72883,x72885)+E(f337(f337(f167(x72881),f337(f337(f161(x72881,x72882),x72883),x72884)),x72885),x72884)+~P24(f337(f337(f252(a884),x72883),f337(f198(f885(x72881)),x72882)))
% 198.24/198.42 [7400]~E(f337(f337(f136(x74001),x74002),x74004),f337(f337(f136(x74001),x74003),x74005))+E(f337(f337(f178(x74001),f337(f198(f885(x74001)),x74002)),x74003),x74002)+P24(f337(f337(f251(a884),f337(f198(f885(x74001)),x74003)),f337(f198(f885(x74001)),x74002)))
% 198.24/198.42 [7902]~E(f337(f337(f136(x79021),x79022),x79024),f337(f337(f136(x79021),x79023),x79025))+E(f337(f337(f178(x79021),f337(f198(f885(x79021)),x79022)),x79023),x79022)+~P24(f337(f337(f251(a884),f337(f198(f885(x79021)),x79022)),f337(f198(f885(x79021)),x79023)))
% 198.24/198.42 [7926]~P24(f337(f62(x79261),f337(x79264,x79265)))+~P24(f337(f337(f339(x79262),x79265),x79263))+P24(f337(f62(x79261),f337(f337(f43(x79262,f893(x79261,a878)),x79263),x79264)))
% 198.24/198.42 [7978]~E(f337(f198(f885(x79781)),x79782),f337(f198(f885(x79783)),x79784))+~E(f337(f337(f181(x79781,x79783),f337(f337(f185(x79781,x79783),x79782),x79784)),x79785),f210(x79783))+~P24(f337(f337(f339(x79781),x79785),f337(f175(x79781),x79782)))
% 198.24/198.42 [8101]~P41(x81011,x81013,x81015)+~P41(x81011,x81012,x81014)+P41(x81011,f337(f337(f113(f893(x81011,a878)),x81012),x81013),f337(f337(f113(f893(f892(x81011,x81011),a878)),x81014),x81015))
% 198.24/198.42 [8102]~P41(x81021,x81023,x81025)+~P41(x81021,x81022,x81024)+P41(x81021,f337(f337(f104(f893(x81021,a878)),x81022),x81023),f337(f337(f104(f893(f892(x81021,x81021),a878)),x81024),x81025))
% 198.24/198.42 [8452]E(f337(f337(f272(x84521,x84522),f337(f337(f167(x84521),x84523),x84524)),f337(f337(f167(x84522),x84525),x84524)),f337(f337(f167(f892(x84521,x84522)),f337(f337(f185(x84521,x84522),x84523),x84525)),x84524))+~P24(f337(f337(f252(a884),x84524),f337(f198(f885(x84521)),x84523)))+~P24(f337(f337(f252(a884),x84524),f337(f198(f885(x84522)),x84525)))
% 198.24/198.42 [8601]~P41(x86011,x86013,x86014)+P24(f337(f337(f339(x86011),x86012),x86013))+~P24(f337(f337(f339(f892(x86011,x86011)),f337(f337(f272(x86011,x86011),x86015),x86012)),x86014))
% 198.24/198.42 [8602]~P41(x86021,x86023,x86024)+P24(f337(f337(f339(x86021),x86022),x86023))+~P24(f337(f337(f339(f892(x86021,x86021)),f337(f337(f272(x86021,x86021),x86022),x86025)),x86024))
% 198.24/198.42 [8603]~P6(x86031,x86033,x86034)+P24(f337(f337(f339(x86031),x86032),x86033))+~P24(f337(f337(f339(f892(x86031,x86031)),f337(f337(f272(x86031,x86031),x86035),x86032)),x86034))
% 198.24/198.42 [8604]~P6(x86041,x86043,x86044)+P24(f337(f337(f339(x86041),x86042),x86043))+~P24(f337(f337(f339(f892(x86041,x86041)),f337(f337(f272(x86041,x86041),x86042),x86045)),x86044))
% 198.24/198.42 [8862]~P6(x88621,x88625,x88622)+E(f337(f291(x88621,x88621,x88622),f337(f337(f315(x88621),x88623),f197(f893(x88621,a878)))),f337(f291(x88621,x88621,x88622),f337(f337(f315(x88621),x88624),f197(f893(x88621,a878)))))+~P24(f337(f337(f339(f892(x88621,x88621)),f337(f337(f272(x88621,x88621),x88623),x88624)),x88622))
% 198.24/198.42 [9046]P24(f337(x90461,x90462))+~P24(f337(f337(f339(x90463),x90462),x90465))+P24(f337(f337(f339(x90463),f877(x90461,x90464,x90465,x90463)),f337(f337(f113(f893(x90463,a878)),x90465),x90464)))
% 198.24/198.42 [9047]P24(f337(x90471,x90472))+~P24(f337(f337(f339(x90473),x90472),x90474))+P24(f337(f337(f339(x90473),f877(x90471,x90474,x90475,x90473)),f337(f337(f113(f893(x90473,a878)),x90475),x90474)))
% 198.24/198.42 [9055]~P24(f337(x90552,x90555))+~P24(f337(f337(f339(x90551),x90555),x90554))+P24(f337(f337(f339(x90551),f870(x90552,x90553,x90554,x90551)),f337(f337(f113(f893(x90551,a878)),x90554),x90553)))
% 198.24/198.42 [9056]~P24(f337(x90562,x90565))+~P24(f337(f337(f339(x90561),x90565),x90563))+P24(f337(f337(f339(x90561),f870(x90562,x90563,x90564,x90561)),f337(f337(f113(f893(x90561,a878)),x90564),x90563)))
% 198.24/198.42 [9071]~P24(f337(f337(f251(f893(x90711,a878)),x90713),x90715))+~P24(f337(f337(f251(f893(x90711,a878)),x90712),x90714))+P24(f337(f337(f251(f893(x90711,a878)),f337(f337(f113(f893(x90711,a878)),x90712),x90713)),f337(f337(f113(f893(x90711,a878)),x90714),x90715)))
% 198.24/198.42 [9072]~P24(f337(f337(f251(f893(x90721,a878)),x90725),x90723))+~P24(f337(f337(f251(f893(x90721,a878)),x90722),x90724))+P24(f337(f337(f251(f893(x90721,a878)),f337(f337(f22(f893(x90721,a878)),x90722),x90723)),f337(f337(f22(f893(x90721,a878)),x90724),x90725)))
% 198.24/198.42 [9073]~P24(f337(f337(f251(f893(x90731,a878)),x90733),x90735))+~P24(f337(f337(f251(f893(x90731,a878)),x90732),x90734))+P24(f337(f337(f251(f893(x90731,a878)),f337(f337(f104(f893(x90731,a878)),x90732),x90733)),f337(f337(f104(f893(x90731,a878)),x90734),x90735)))
% 198.24/198.42 [9162]~E(f337(f198(f885(x91621)),x91623),f337(f198(f885(x91622)),x91624))+E(f337(f337(f181(x91621,x91622),f337(f337(f185(x91621,x91622),x91623),x91624)),x91625),f337(f209(x91622),f674(x91625,x91624,x91622,x91623,x91621)))+~P24(f337(f337(f339(x91621),x91625),f337(f175(x91621),x91623)))
% 198.24/198.42 [9166]P24(f337(f337(f339(f892(x91661,x91661)),f337(f337(f272(x91661,x91661),x91662),x91663)),f331(x91661,x91664,x91665)))+~P24(f337(f337(f251(a884),f337(x91664,x91662)),f337(x91664,x91663)))+~P24(f337(f337(f339(f892(x91661,x91661)),f337(f337(f272(x91661,x91661),x91662),x91663)),x91665))
% 198.24/198.42 [9340]P24(f337(f337(f339(f892(x93401,x93401)),f337(f337(f272(x93401,x93401),x93402),x93403)),f313(x93401,x93404)))+~P24(f337(f337(f339(f892(x93401,x93401)),f337(f337(f272(x93401,x93401),x93402),x93405)),f313(x93401,x93404)))+~P24(f337(f337(f339(f892(x93401,x93401)),f337(f337(f272(x93401,x93401),x93405),x93403)),x93404))
% 198.24/198.42 [9341]P24(f337(f337(f339(f892(x93411,x93411)),f337(f337(f272(x93411,x93411),x93412),x93413)),f313(x93411,x93414)))+~P24(f337(f337(f339(f892(x93411,x93411)),f337(f337(f272(x93411,x93411),x93415),x93413)),f313(x93411,x93414)))+~P24(f337(f337(f339(f892(x93411,x93411)),f337(f337(f272(x93411,x93411),x93412),x93415)),x93414))
% 198.24/198.42 [9437]E(x94371,x94372)+E(f337(a115,f596(x94373,x94374,x94371,x94372,x94375)),x94374)+~P24(f337(f337(f339(f892(x94375,x94375)),f337(f337(f272(x94375,x94375),x94372),x94371)),f337(f337(f192(f892(x94375,x94375),a878),x94374),x94373)))
% 198.24/198.42 [9438]E(x94381,x94382)+E(f337(a115,f599(x94383,x94384,x94381,x94382,x94385)),x94384)+~P24(f337(f337(f339(f892(x94385,x94385)),f337(f337(f272(x94385,x94385),x94382),x94381)),f337(f337(f192(f892(x94385,x94385),a878),x94384),x94383)))
% 198.24/198.42 [9439]E(x94391,f2(a884))+E(f337(a115,f596(x94392,x94391,x94393,x94394,x94395)),x94391)+~P24(f337(f337(f339(f892(x94395,x94395)),f337(f337(f272(x94395,x94395),x94394),x94393)),f337(f337(f192(f892(x94395,x94395),a878),x94391),x94392)))
% 198.24/198.42 [9440]E(x94401,f2(a884))+E(f337(a115,f599(x94402,x94401,x94403,x94404,x94405)),x94401)+~P24(f337(f337(f339(f892(x94405,x94405)),f337(f337(f272(x94405,x94405),x94404),x94403)),f337(f337(f192(f892(x94405,x94405),a878),x94401),x94402)))
% 198.24/198.42 [9460]P24(f337(f337(f339(f892(x94601,x94601)),f337(f337(f272(x94601,x94601),x94602),x94603)),f337(f337(f294(x94601,x94601,x94601),x94604),f313(x94601,x94604))))+~P24(f337(f337(f339(f892(x94601,x94601)),f337(f337(f272(x94601,x94601),x94602),x94605)),x94604))+~P24(f337(f337(f339(f892(x94601,x94601)),f337(f337(f272(x94601,x94601),x94605),x94603)),x94604))
% 198.24/198.42 [9467]~P24(f337(f337(f339(f892(x94671,x94671)),f337(f337(f272(x94671,x94671),x94672),x94675)),f313(x94671,x94674)))+P24(f337(f337(f339(f892(x94671,x94671)),f337(f337(f272(x94671,x94671),x94672),x94673)),f337(f337(f294(x94671,x94671,x94671),x94674),f313(x94671,x94674))))+~P24(f337(f337(f339(f892(x94671,x94671)),f337(f337(f272(x94671,x94671),x94675),x94673)),x94674))
% 198.24/198.42 [9505]~P6(x95051,x95055,x95052)+~P24(f337(f337(f339(f892(x95051,x95051)),f337(f337(f272(x95051,x95051),x95053),x95054)),x95052))+P24(f337(f337(f251(f893(x95051,a878)),f337(f291(x95051,x95051,x95052),f337(f337(f315(x95051),x95053),f197(f893(x95051,a878))))),f337(f291(x95051,x95051,x95052),f337(f337(f315(x95051),x95054),f197(f893(x95051,a878))))))
% 198.24/198.42 [9558]P24(f337(f337(f339(f892(x95581,x95581)),f337(f337(f272(x95581,x95581),x95582),x95583)),f337(f337(f294(x95581,x95581,x95581),x95584),f313(x95581,x95584))))+~P24(f337(f337(f339(f892(x95581,x95581)),f337(f337(f272(x95581,x95581),x95582),x95585)),f337(f337(f294(x95581,x95581,x95581),x95584),f313(x95581,x95584))))+~P24(f337(f337(f339(f892(x95581,x95581)),f337(f337(f272(x95581,x95581),x95585),x95583)),x95584))
% 198.24/198.42 [9559]P24(f337(f337(f339(f892(x95591,x95591)),f337(f337(f272(x95591,x95591),x95592),x95593)),f337(f337(f294(x95591,x95591,x95591),x95594),f313(x95591,x95594))))+~P24(f337(f337(f339(f892(x95591,x95591)),f337(f337(f272(x95591,x95591),x95595),x95593)),f337(f337(f294(x95591,x95591,x95591),x95594),f313(x95591,x95594))))+~P24(f337(f337(f339(f892(x95591,x95591)),f337(f337(f272(x95591,x95591),x95592),x95595)),x95594))
% 198.24/198.42 [9609]~P24(f337(f67(x96091,x96091,x96094,x96092,x96093),x96095))+P24(f337(f337(f339(x96091),x96092),x96093))+P24(f337(f63(x96091,x96094,f337(f337(f315(x96091),x96092),x96093)),x96095))
% 198.24/198.42 [9648]~E(f337(f316(x96483,x96482,x96485),x96484),x96481)+E(x96481,f197(f893(x96482,a878)))+P24(f337(f337(f251(f893(x96483,a878)),f337(f316(x96482,x96483,f504(x96484,x96483,x96482,x96481)),x96481)),x96484))
% 198.24/198.42 [9695]~P28(x96955)+P24(f337(f337(f339(x96951),f466(x96952,x96953,x96954,x96951,x96955)),x96954))+P24(f337(f337(f251(x96955),f337(f337(f42(x96951,x96955),x96954),x96953)),x96952))
% 198.24/198.42 [9747]P36(x97471,x97472,x97473,x97474,x97475)+~E(f337(f198(f885(x97471)),x97474),f337(f198(f885(x97472)),x97475))+P24(f337(f337(f339(f892(x97471,x97472)),f752(x97475,x97474,x97473,x97472,x97471)),f337(f175(f892(x97471,x97472)),f337(f337(f185(x97471,x97472),x97474),x97475))))
% 198.24/198.42 [9748]P36(x97481,x97482,x97483,x97484,x97485)+~E(f337(f198(f885(x97481)),x97484),f337(f198(f885(x97482)),x97485))+P24(f337(f337(f339(f892(x97481,x97482)),f757(x97483,x97485,x97484,x97482,x97481)),f337(f175(f892(x97481,x97482)),f337(f337(f185(x97481,x97482),x97484),x97485))))
% 198.24/198.42 [9887]E(x98871,x98872)+P24(f337(f337(f339(f892(x98873,x98873)),f337(f337(f272(x98873,x98873),x98871),f597(x98874,x98875,x98872,x98871,x98873))),x98874))+~P24(f337(f337(f339(f892(x98873,x98873)),f337(f337(f272(x98873,x98873),x98871),x98872)),f337(f337(f192(f892(x98873,x98873),a878),x98875),x98874)))
% 198.24/198.42 [9888]E(x98881,f2(a884))+P24(f337(f337(f339(f892(x98882,x98882)),f337(f337(f272(x98882,x98882),x98883),f597(x98884,x98881,x98885,x98883,x98882))),x98884))+~P24(f337(f337(f339(f892(x98882,x98882)),f337(f337(f272(x98882,x98882),x98883),x98885)),f337(f337(f192(f892(x98882,x98882),a878),x98881),x98884)))
% 198.24/198.42 [9931]~P28(x99311)+~P24(f337(f337(f251(x99311),f337(x99314,f466(x99315,x99314,x99313,x99312,x99311))),x99315))+P24(f337(f337(f251(x99311),f337(f337(f42(x99312,x99311),x99313),x99314)),x99315))
% 198.24/198.42 [9973]E(x99731,x99732)+P24(f337(f337(f339(f892(x99733,x99733)),f337(f337(f272(x99733,x99733),f600(x99734,x99735,x99731,x99732,x99733)),x99731)),x99734))+~P24(f337(f337(f339(f892(x99733,x99733)),f337(f337(f272(x99733,x99733),x99732),x99731)),f337(f337(f192(f892(x99733,x99733),a878),x99735),x99734)))
% 198.24/198.42 [9974]E(x99741,f2(a884))+P24(f337(f337(f339(f892(x99742,x99742)),f337(f337(f272(x99742,x99742),f600(x99743,x99741,x99744,x99745,x99742)),x99744)),x99743))+~P24(f337(f337(f339(f892(x99742,x99742)),f337(f337(f272(x99742,x99742),x99745),x99744)),f337(f337(f192(f892(x99742,x99742),a878),x99741),x99743)))
% 198.24/198.42 [9978]E(x99781,x99782)+P24(f337(f337(f339(f892(x99783,x99783)),f337(f337(f272(x99783,x99783),x99781),f600(x99784,x99785,x99782,x99781,x99783))),f337(f337(f192(f892(x99783,x99783),a878),f599(x99784,x99785,x99782,x99781,x99783)),x99784)))+~P24(f337(f337(f339(f892(x99783,x99783)),f337(f337(f272(x99783,x99783),x99781),x99782)),f337(f337(f192(f892(x99783,x99783),a878),x99785),x99784)))
% 198.24/198.42 [9979]E(x99791,f2(a884))+P24(f337(f337(f339(f892(x99792,x99792)),f337(f337(f272(x99792,x99792),x99793),f600(x99794,x99791,x99795,x99793,x99792))),f337(f337(f192(f892(x99792,x99792),a878),f599(x99794,x99791,x99795,x99793,x99792)),x99794)))+~P24(f337(f337(f339(f892(x99792,x99792)),f337(f337(f272(x99792,x99792),x99793),x99795)),f337(f337(f192(f892(x99792,x99792),a878),x99791),x99794)))
% 198.24/198.42 [10029]E(x100291,x100292)+P24(f337(f337(f339(f892(x100293,x100293)),f337(f337(f272(x100293,x100293),f597(x100294,x100295,x100291,x100292,x100293)),x100291)),f337(f337(f192(f892(x100293,x100293),a878),f596(x100294,x100295,x100291,x100292,x100293)),x100294)))+~P24(f337(f337(f339(f892(x100293,x100293)),f337(f337(f272(x100293,x100293),x100292),x100291)),f337(f337(f192(f892(x100293,x100293),a878),x100295),x100294)))
% 198.24/198.42 [10030]E(x100301,f2(a884))+P24(f337(f337(f339(f892(x100302,x100302)),f337(f337(f272(x100302,x100302),f597(x100303,x100301,x100304,x100305,x100302)),x100304)),f337(f337(f192(f892(x100302,x100302),a878),f596(x100303,x100301,x100304,x100305,x100302)),x100303)))+~P24(f337(f337(f339(f892(x100302,x100302)),f337(f337(f272(x100302,x100302),x100305),x100304)),f337(f337(f192(f892(x100302,x100302),a878),x100301),x100303)))
% 198.24/198.42 [10064]~P70(x100642)+~P24(f337(f62(x100641),x100645))+E(f337(f337(f6(x100641,x100642),f337(f337(f7(x100641,x100642,x100642),f337(f337(f18(x100641,x100642,f893(x100642,x100642)),f337(f337(f8(a878,f893(x100642,f893(x100642,x100642)),x100641),f99(x100642)),f337(f337(f7(x100641,f893(x100641,a878),a878),f339(x100641)),x100643))),x100644)),f2(x100642))),x100645),f337(f337(f6(x100641,x100642),x100644),f337(f337(f104(f893(x100641,a878)),x100645),x100643)))
% 198.24/198.42 [8663]~P70(x86631)+~P24(f337(f62(x86634),x86635))+E(f337(f337(f81(x86631),f337(x86632,x86633)),f337(f337(f6(x86634,x86631),x86632),f337(f337(f22(f893(x86634,a878)),x86635),f337(f337(f315(x86634),x86633),f197(f893(x86634,a878)))))),f337(f337(f6(x86634,x86631),x86632),f337(f337(f315(x86634),x86633),x86635)))
% 198.24/198.42 [8664]~P74(x86641)+~P24(f337(f62(x86644),x86645))+E(f337(f337(f82(x86641),f337(x86642,x86643)),f337(f337(f9(x86644,x86641),x86642),f337(f337(f22(f893(x86644,a878)),x86645),f337(f337(f315(x86644),x86643),f197(f893(x86644,a878)))))),f337(f337(f9(x86644,x86641),x86642),f337(f337(f315(x86644),x86643),x86645)))
% 198.24/198.42 [8979]~P105(x89792)+~P30(x89792,f337(f171(x89792),f337(f337(f156(x89791,x89792),x89794),x89795)))+E(f337(f138(x89791,f337(f337(f8(x89792,a878,x89791),f337(f252(x89792),x89793)),x89794)),x89795),f180(x89791,f337(f337(f8(x89792,a878,x89791),f337(f252(x89792),x89793)),x89794),x89795))
% 198.24/198.42 [9001]~P70(x90011)+E(f337(f337(f81(x90011),f337(f337(f6(a884,x90011),x90012),f308(a884,x90013,x90014))),f337(f337(f6(a884,x90011),x90012),f308(a884,f337(f337(f81(a884),x90014),f79(a884)),f337(f337(f81(a884),x90014),x90015)))),f337(f337(f6(a884,x90011),x90012),f308(a884,x90013,f337(f337(f81(a884),x90014),x90015))))+~P24(f337(f337(f251(a884),x90013),f337(f337(f81(a884),x90014),f79(a884))))
% 198.24/198.42 [9002]~P24(f337(f337(f339(x90021),x90024),x90025))+~P24(f337(f337(f251(f893(x90021,a878)),f337(f175(x90021),x90022)),x90025))+P24(f337(f337(f251(f893(x90021,a878)),f337(f175(x90021),f337(f337(f161(x90021,x90022),x90023),x90024))),x90025))
% 198.24/198.42 [9226]~P28(x92262)+~P24(f337(f62(x92261),x92265))+E(f337(f337(f65(x92261,x92262,f337(f337(f8(x92262,f893(x92262,x92262),x92261),f113(x92262)),x92263)),x92264),x92265),f337(f337(f113(x92262),x92264),f337(f337(f42(x92261,x92262),x92265),x92263)))
% 198.24/198.42 [9227]~P28(x92272)+~P24(f337(f62(x92271),x92275))+E(f337(f337(f65(x92271,x92272,f337(f337(f8(x92272,f893(x92272,x92272),x92271),f104(x92272)),x92273)),x92274),x92275),f337(f337(f104(x92272),x92274),f337(f337(f43(x92271,x92272),x92275),x92273)))
% 198.24/198.42 [9270]E(f337(x92701,x92702),f337(x92701,x92703))+P24(f337(f337(f252(a884),f337(x92701,x92702)),f337(x92701,x92703)))+~P24(f337(f337(f339(f892(x92704,x92704)),f337(f337(f272(x92704,x92704),x92702),x92703)),f155(x92704,f337(f337(f153(f893(x92704,a884)),x92701),x92705))))
% 198.24/198.42 [9302]~E(f337(x93024,x93022),f337(x93024,x93023))+~P24(f337(f337(f339(f892(x93021,x93021)),f337(f337(f272(x93021,x93021),x93022),x93023)),f155(x93021,x93025)))+P24(f337(f337(f339(f892(x93021,x93021)),f337(f337(f272(x93021,x93021),x93022),x93023)),f155(x93021,f337(f337(f153(f893(x93021,a884)),x93024),x93025))))
% 198.24/198.42 [9320]~P21(x93201,x93202,x93203,x93205)+P21(x93201,x93202,x93203,f337(f337(f315(x93201),x93204),x93205))+P24(f337(f337(f339(x93202),f337(x93203,x93204)),f337(f316(x93201,x93202,x93203),f337(f337(f22(f893(x93201,a878)),x93205),f337(f337(f315(x93201),x93204),f197(f893(x93201,a878)))))))
% 198.24/198.42 [9323]P24(f337(x93232,x93235))+~P24(f337(f337(f339(x93231),x93235),f337(f175(x93231),x93233)))+E(f337(f337(f140(x93231),f337(f198(f885(x93231)),f180(x93231,x93232,f337(f337(f136(x93231),x93233),x93234)))),f337(f337(f136(x93231),x93233),x93234)),f337(f337(f136(x93231),f337(f337(f140(x93231),f337(f198(f885(x93231)),f180(x93231,x93232,x93233))),x93233)),x93234))
% 198.24/198.42 [9326]~P24(f337(f337(f339(f892(x93261,x93261)),f337(f337(f272(x93261,x93261),x93262),x93263)),f155(x93261,x93265)))+~P24(f337(f337(f251(a884),f337(x93264,x93262)),f337(x93264,x93263)))+P24(f337(f337(f339(f892(x93261,x93261)),f337(f337(f272(x93261,x93261),x93262),x93263)),f155(x93261,f337(f337(f153(f893(x93261,a884)),x93264),x93265))))
% 198.24/198.42 [9392]P24(f337(f337(f339(f892(x93924,x93924)),f337(f337(f272(x93924,x93924),x93922),x93923)),f155(x93924,x93925)))+P24(f337(f337(f252(a884),f337(x93921,x93922)),f337(x93921,x93923)))+~P24(f337(f337(f339(f892(x93924,x93924)),f337(f337(f272(x93924,x93924),x93922),x93923)),f155(x93924,f337(f337(f153(f893(x93924,a884)),x93921),x93925))))
% 198.24/198.42 [9532]~P24(f337(f337(f339(f892(f885(x95321),f885(x95321))),f337(f337(f272(f885(x95321),f885(x95321)),x95322),x95324)),f160(x95321,x95325)))+~P24(f337(f337(f252(a884),x95323),f337(f198(f885(x95321)),x95322)))+P24(f337(f337(f339(f892(x95321,x95321)),f337(f337(f272(x95321,x95321),f337(f337(f167(x95321),x95322),x95323)),f337(f337(f167(x95321),x95324),x95323))),x95325))
% 198.24/198.42 [9775]E(x97751,f2(a1))+~P24(f337(f49(x97753,x97751),f337(f337(f272(a1,a1),x97754),x97755)))+P24(f337(f49(f337(f337(f82(a1),x97752),x97753),x97751),f337(f337(f272(a1,a1),f337(f337(f81(a1),f337(f337(f82(a1),x97752),x97754)),f337(f337(f39(a1),f337(f337(f82(a1),x97752),x97755)),x97751))),f45(a1,f337(f337(f82(a1),x97752),x97755),x97751))))
% 198.24/198.42 [9777]~P24(f337(f337(f252(a884),f2(a884)),x97773))+~P24(f337(f48(x97772,x97773),f337(f337(f272(a884,a884),x97774),x97775)))+P24(f337(f48(f337(f337(f82(a884),x97771),x97772),x97773),f337(f337(f272(a884,a884),f337(f337(f81(a884),f337(f337(f82(a884),x97771),x97774)),f337(f337(f39(a884),f337(f337(f82(a884),x97771),x97775)),x97773))),f45(a884,f337(f337(f82(a884),x97771),x97775),x97773))))
% 198.24/198.42 [10086]~P70(x100862)+~P24(f337(f62(x100861),x100864))+E(f337(f337(f6(x100861,x100862),x100863),f337(f257(x100861),f337(f337(f18(x100861,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100861),a335),f337(f337(f7(x100861,f893(x100861,a878),a878),f339(x100861)),x100864))),f337(f337(f7(x100861,f893(x100861,a878),a878),f339(x100861)),x100865)))),f337(f337(f6(x100861,x100862),f337(f337(f7(x100861,x100862,x100862),f337(f337(f18(x100861,x100862,f893(x100862,x100862)),f337(f337(f8(a878,f893(x100862,f893(x100862,x100862)),x100861),f99(x100862)),f337(f337(f7(x100861,f893(x100861,a878),a878),f339(x100861)),x100865))),x100863)),f2(x100862))),x100864))
% 198.24/198.42 [8310]~E(f337(f337(f136(x83101),x83102),x83105),f337(f337(f136(x83101),x83103),x83104))+E(f337(f337(f136(x83101),f337(f337(f140(x83101),f337(f198(f885(x83101)),x83102)),x83103)),x83104),x83105)+P24(f337(f337(f251(a884),f337(f198(f885(x83101)),x83103)),f337(f198(f885(x83101)),x83102)))
% 198.24/198.42 [8501]~E(f337(f337(f136(x85012),x85013),x85011),f337(f337(f136(x85012),x85014),x85015))+E(x85011,f337(f337(f136(x85012),f337(f337(f140(x85012),f337(f198(f885(x85012)),x85013)),x85014)),x85015))+~P24(f337(f337(f251(a884),f337(f198(f885(x85012)),x85013)),f337(f198(f885(x85012)),x85014)))
% 198.24/198.42 [8584]~E(f337(f337(f81(a884),f337(f337(f82(a884),x85843),x85844)),x85841),f337(f337(f81(a884),f337(f337(f82(a884),x85842),x85844)),x85845))+~P24(f337(f337(f251(a884),x85843),x85842))+E(x85841,f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x85842),x85843)),x85844)),x85845))
% 198.24/198.42 [8585]~E(f337(f337(f81(a884),f337(f337(f82(a884),x85851),x85853)),x85854),f337(f337(f81(a884),f337(f337(f82(a884),x85852),x85853)),x85855))+~P24(f337(f337(f251(a884),x85852),x85851))+E(f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x85851),x85852)),x85853)),x85854),x85855)
% 198.24/198.42 [8741]E(f337(f337(f81(a884),f337(f337(f82(a884),x87411),x87412)),x87413),f337(f337(f81(a884),f337(f337(f82(a884),x87414),x87412)),x87415))+~P24(f337(f337(f251(a884),x87414),x87411))+~E(x87415,f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x87411),x87414)),x87412)),x87413))
% 198.24/198.42 [8742]E(f337(f337(f81(a884),f337(f337(f82(a884),x87421),x87422)),x87423),f337(f337(f81(a884),f337(f337(f82(a884),x87424),x87422)),x87425))+~P24(f337(f337(f251(a884),x87424),x87421))+~E(f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x87421),x87424)),x87422)),x87423),x87425)
% 198.24/198.42 [9585]~P58(x95852)+~P24(f337(f62(x95851),x95855))+E(f337(f337(f9(x95851,x95852),f337(f337(f18(x95851,x95852,x95852),f337(f337(f8(x95852,f893(x95852,x95852),x95851),f295(x95852)),x95853)),x95854)),x95855),f337(f337(f295(x95852),f337(f337(f9(x95851,x95852),x95853),x95855)),f337(f337(f9(x95851,x95852),x95854),x95855)))
% 198.24/198.42 [9711]~E(f611(x97115,x97114,x97113,x97112,x97111),f612(x97115,x97114,x97113,x97112,x97111))+P24(f337(f337(f339(f892(x97111,x97111)),f337(f337(f272(x97111,x97111),x97112),x97113)),f313(x97111,x97114)))+~P24(f337(f337(f339(f892(x97111,x97111)),f337(f337(f272(x97111,x97111),x97112),x97113)),f313(x97111,f337(f337(f113(f893(f892(x97111,x97111),a878)),x97114),x97115))))
% 198.24/198.42 [9712]~E(f613(x97125,x97124,x97123,x97122,x97121),f614(x97125,x97124,x97123,x97122,x97121))+P24(f337(f337(f339(f892(x97121,x97121)),f337(f337(f272(x97121,x97121),x97122),x97123)),f313(x97121,x97124)))+~P24(f337(f337(f339(f892(x97121,x97121)),f337(f337(f272(x97121,x97121),x97122),x97123)),f313(x97121,f337(f337(f113(f893(f892(x97121,x97121),a878)),x97124),x97125))))
% 198.24/198.42 [9921]P24(f337(f337(f339(f892(x99211,x99211)),f337(f337(f272(x99211,x99211),x99212),f614(x99215,x99214,x99213,x99212,x99211))),f313(x99211,x99214)))+P24(f337(f337(f339(f892(x99211,x99211)),f337(f337(f272(x99211,x99211),x99212),x99213)),f313(x99211,x99214)))+~P24(f337(f337(f339(f892(x99211,x99211)),f337(f337(f272(x99211,x99211),x99212),x99213)),f313(x99211,f337(f337(f113(f893(f892(x99211,x99211),a878)),x99214),x99215))))
% 198.24/198.42 [10000]P24(f337(f337(f339(f892(x100001,x100001)),f337(f337(f272(x100001,x100001),f612(x100005,x100004,x100003,x100002,x100001)),x100003)),f313(x100001,x100004)))+P24(f337(f337(f339(f892(x100001,x100001)),f337(f337(f272(x100001,x100001),x100002),x100003)),f313(x100001,x100004)))+~P24(f337(f337(f339(f892(x100001,x100001)),f337(f337(f272(x100001,x100001),x100002),x100003)),f313(x100001,f337(f337(f113(f893(f892(x100001,x100001),a878)),x100004),x100005))))
% 198.24/198.42 [10036]P24(f337(f337(f339(f892(x100361,x100361)),f337(f337(f272(x100361,x100361),x100362),x100363)),f313(x100361,x100364)))+P24(f337(f337(f339(f892(x100361,x100361)),f337(f337(f272(x100361,x100361),f611(x100365,x100364,x100363,x100362,x100361)),f612(x100365,x100364,x100363,x100362,x100361))),x100365))+~P24(f337(f337(f339(f892(x100361,x100361)),f337(f337(f272(x100361,x100361),x100362),x100363)),f313(x100361,f337(f337(f113(f893(f892(x100361,x100361),a878)),x100364),x100365))))
% 198.24/198.42 [10037]P24(f337(f337(f339(f892(x100371,x100371)),f337(f337(f272(x100371,x100371),x100372),x100373)),f313(x100371,x100374)))+P24(f337(f337(f339(f892(x100371,x100371)),f337(f337(f272(x100371,x100371),f614(x100375,x100374,x100373,x100372,x100371)),f613(x100375,x100374,x100373,x100372,x100371))),x100375))+~P24(f337(f337(f339(f892(x100371,x100371)),f337(f337(f272(x100371,x100371),x100372),x100373)),f313(x100371,f337(f337(f113(f893(f892(x100371,x100371),a878)),x100374),x100375))))
% 198.24/198.42 [10158]~P24(f337(f337(f339(f892(f885(x101581),f885(x101581))),f337(f337(f272(f885(x101581),f885(x101581)),x101584),x101585)),f160(x101581,x101582)))+~P24(f337(f337(f339(f892(x101581,x101581)),x101583),f337(f175(f892(x101581,x101581)),f337(f337(f185(x101581,x101581),x101584),x101585))))+P24(f337(f337(f276(x101581,x101581,a878),f337(f337(f7(x101581,f893(f892(x101581,x101581),a878),f893(x101581,a878)),f337(f337(f8(f893(x101581,f893(f893(f892(x101581,x101581),a878),a878)),f893(f893(f892(x101581,x101581),a878),f893(x101581,a878)),x101581),f7(x101581,f893(f892(x101581,x101581),a878),a878)),f337(f337(f8(f893(x101581,f892(x101581,x101581)),f893(x101581,f893(f893(f892(x101581,x101581),a878),a878)),x101581),f337(f8(f892(x101581,x101581),f893(f893(f892(x101581,x101581),a878),a878),x101581),f339(f892(x101581,x101581)))),f272(x101581,x101581)))),x101582)),x101583))
% 198.24/198.42 [9613]~P24(f337(f337(f251(a884),x96133),x96132))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(f337(f82(a884),x96133),x96134)),x96131)),f337(f337(f81(a884),f337(f337(f82(a884),x96132),x96134)),x96135)))+P24(f337(f337(f251(a884),x96131),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x96132),x96133)),x96134)),x96135)))
% 198.24/198.42 [9614]~P24(f337(f337(f251(a884),x96143),x96142))+~P24(f337(f337(f252(a884),f337(f337(f81(a884),f337(f337(f82(a884),x96143),x96144)),x96141)),f337(f337(f81(a884),f337(f337(f82(a884),x96142),x96144)),x96145)))+P24(f337(f337(f252(a884),x96141),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x96142),x96143)),x96144)),x96145)))
% 198.24/198.42 [9632]~P24(f337(f337(f251(a884),x96321),x96324))+P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(f337(f82(a884),x96321),x96322)),x96323)),f337(f337(f81(a884),f337(f337(f82(a884),x96324),x96322)),x96325)))+~P24(f337(f337(f251(a884),x96323),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x96324),x96321)),x96322)),x96325)))
% 198.24/198.42 [9633]~P24(f337(f337(f251(a884),x96331),x96334))+P24(f337(f337(f252(a884),f337(f337(f81(a884),f337(f337(f82(a884),x96331),x96332)),x96333)),f337(f337(f81(a884),f337(f337(f82(a884),x96334),x96332)),x96335)))+~P24(f337(f337(f252(a884),x96333),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x96334),x96331)),x96332)),x96335)))
% 198.24/198.42 [9745]~P24(f337(f337(f251(a884),x97452),x97451))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(f337(f82(a884),x97451),x97453)),x97454)),f337(f337(f81(a884),f337(f337(f82(a884),x97452),x97453)),x97455)))+P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x97451),x97452)),x97453)),x97454)),x97455))
% 198.24/198.42 [9746]~P24(f337(f337(f251(a884),x97462),x97461))+~P24(f337(f337(f252(a884),f337(f337(f81(a884),f337(f337(f82(a884),x97461),x97463)),x97464)),f337(f337(f81(a884),f337(f337(f82(a884),x97462),x97463)),x97465)))+P24(f337(f337(f252(a884),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x97461),x97462)),x97463)),x97464)),x97465))
% 198.24/198.42 [9799]~P24(f337(f337(f251(a884),x97994),x97991))+P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(f337(f82(a884),x97991),x97992)),x97993)),f337(f337(f81(a884),f337(f337(f82(a884),x97994),x97992)),x97995)))+~P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x97991),x97994)),x97992)),x97993)),x97995))
% 198.24/198.42 [9800]~P24(f337(f337(f251(a884),x98004),x98001))+P24(f337(f337(f252(a884),f337(f337(f81(a884),f337(f337(f82(a884),x98001),x98002)),x98003)),f337(f337(f81(a884),f337(f337(f82(a884),x98004),x98002)),x98005)))+~P24(f337(f337(f252(a884),f337(f337(f81(a884),f337(f337(f82(a884),f337(f337(f22(a884),x98001),x98004)),x98002)),x98003)),x98005))
% 198.24/198.42 [10021]~P9(x100211,x100212,x100215,x100213)+~P24(f337(f337(f339(f892(x100211,x100211)),x100214),x100215))+P24(f337(f337(f276(x100211,x100211,a878),f337(f337(f7(x100211,f893(x100211,x100212),f893(x100211,a878)),f337(f337(f8(f893(x100212,a878),f893(f893(x100211,x100212),f893(x100211,a878)),x100211),f8(x100212,a878,x100211)),f337(f337(f8(x100212,f893(x100212,a878),x100211),a334),x100213))),x100213)),x100214))
% 198.24/198.42 [6859]~E(f337(x68594,x68595),f210(x68592))+E(f337(f188(x68591,x68592,x68593,x68594),x68595),f337(f209(x68592),x68596))+~E(f337(x68593,x68595),f337(f209(x68592),x68596))
% 198.24/198.42 [6960]~E(f337(x69603,x69606),f210(x69601))+E(f337(f246(f887(x69601),x69602,f210(x69601),x69603),f337(x69604,x69605)),f210(x69601))+~E(f337(x69604,x69605),f337(f209(x69602),x69606))
% 198.24/198.42 [7544]E(f337(x75441,x75442),f210(x75443))+~E(f337(f188(x75445,x75443,x75446,x75441),x75442),f337(f209(x75443),x75444))+E(f337(x75441,x75442),f337(f209(x75443),x75444))
% 198.24/198.42 [7580]~E(f337(f188(x75806,x75803,x75805,x75801),x75802),f337(f209(x75803),x75804))+E(f337(x75801,x75802),f337(f209(x75803),x75804))+E(f337(x75805,x75802),f337(f209(x75803),x75804))
% 198.24/198.42 [8464]~P15(x84646,x84641,x84642,x84644)+E(f337(f74(x84641,x84641,x84641,f337(x84642,x84643)),f337(x84644,x84645)),f337(f74(x84641,x84641,x84641,f337(x84644,x84645)),f337(x84642,x84643)))+~P24(f337(f62(x84646),x84645))
% 198.24/198.42 [8874]~P21(x88741,x88743,x88745,x88746)+~P21(x88743,x88742,x88744,f337(f316(x88741,x88743,x88745),x88746))+P21(x88741,x88742,f337(f74(x88743,x88742,x88741,x88744),x88745),x88746)
% 198.24/198.42 [9422]~P24(f337(f337(x94223,x94222),x94226))+~P24(f337(f337(x94224,x94225),x94222))+P24(f337(f337(f339(x94221),x94222),f305(x94221,x94223,x94224,x94225,x94226)))
% 198.24/198.42 [9423]~P24(f337(f337(x94234,x94232),x94236))+~P24(f337(f337(x94233,x94235),x94232))+P24(f337(f337(f339(x94231),x94232),f302(x94231,x94233,x94234,x94235,x94236)))
% 198.24/198.42 [9533]E(x95331,x95332)+E(x95333,x95334)+~P24(f337(f337(f339(f892(f885(x95335),f885(x95335))),f337(f337(f272(f885(x95335),f885(x95335)),f337(f337(f153(x95335),x95333),x95331)),f337(f337(f153(x95335),x95334),x95332))),f159(x95335,x95336)))
% 198.24/198.42 [9542]~E(x95422,x95424)+P24(f337(f337(f339(f892(f885(x95421),f885(x95421))),f337(f337(f272(f885(x95421),f885(x95421)),f337(f337(f153(x95421),x95422),x95423)),f337(f337(f153(x95421),x95424),x95425))),f147(x95421,x95426)))+~P24(f337(f337(f339(f892(f885(x95421),f885(x95421))),f337(f337(f272(f885(x95421),f885(x95421)),x95423),x95425)),f147(x95421,x95426)))
% 198.24/198.42 [9543]~E(x95432,x95434)+P24(f337(f337(f339(f892(f885(x95431),f885(x95431))),f337(f337(f272(f885(x95431),f885(x95431)),f337(f337(f153(x95431),x95432),x95433)),f337(f337(f153(x95431),x95434),x95435))),f149(x95431,x95436)))+~P24(f337(f337(f339(f892(f885(x95431),f885(x95431))),f337(f337(f272(f885(x95431),f885(x95431)),x95433),x95435)),f149(x95431,x95436)))
% 198.24/198.42 [9544]~E(x95442,x95444)+P24(f337(f337(f339(f892(f885(x95441),f885(x95441))),f337(f337(f272(f885(x95441),f885(x95441)),f337(f337(f153(x95441),x95442),x95443)),f337(f337(f153(x95441),x95444),x95445))),f159(x95441,x95446)))+~P24(f337(f337(f339(f892(f885(x95441),f885(x95441))),f337(f337(f272(f885(x95441),f885(x95441)),x95443),x95445)),f159(x95441,x95446)))
% 198.24/198.42 [9545]~E(x95452,x95454)+P24(f337(f337(f339(f892(f885(x95451),f885(x95451))),f337(f337(f272(f885(x95451),f885(x95451)),f337(f337(f136(x95451),x95452),x95453)),f337(f337(f136(x95451),x95454),x95455))),f159(x95451,x95456)))+~P24(f337(f337(f339(f892(f885(x95451),f885(x95451))),f337(f337(f272(f885(x95451),f885(x95451)),x95453),x95455)),f159(x95451,x95456)))
% 198.24/198.42 [9546]~E(x95463,x95465)+P24(f337(f337(f339(f892(f885(x95461),f885(x95461))),f337(f337(f272(f885(x95461),f885(x95461)),f337(f337(f136(x95461),x95462),x95463)),f337(f337(f136(x95461),x95464),x95465))),f159(x95461,x95466)))+~P24(f337(f337(f339(f892(f885(x95461),f885(x95461))),f337(f337(f272(f885(x95461),f885(x95461)),x95462),x95464)),f159(x95461,x95466)))
% 198.24/198.42 [9601]E(x96011,x96012)+P24(f337(f337(f339(f892(f885(x96013),f885(x96013))),f337(f337(f272(f885(x96013),f885(x96013)),x96011),x96012)),f159(x96013,x96014)))+~P24(f337(f337(f339(f892(f885(x96013),f885(x96013))),f337(f337(f272(f885(x96013),f885(x96013)),f337(f337(f153(x96013),x96015),x96011)),f337(f337(f153(x96013),x96016),x96012))),f159(x96013,x96014)))
% 198.24/198.42 [9749]~E(x97493,x97495)+P24(f337(f337(f339(f892(f885(x97491),f885(x97491))),f337(f337(f272(f885(x97491),f885(x97491)),f337(f337(f136(x97491),x97492),f337(f337(f153(x97491),x97493),f116(x97491)))),f337(f337(f136(x97491),x97494),f337(f337(f153(x97491),x97495),f116(x97491))))),f159(x97491,x97496)))+~P24(f337(f337(f339(f892(f885(x97491),f885(x97491))),f337(f337(f272(f885(x97491),f885(x97491)),x97492),x97494)),f159(x97491,x97496)))
% 198.24/198.42 [9765]E(f337(x97651,x97652),f210(x97653))+~E(f337(f246(f887(x97656),x97653,f210(x97656),x97654),f337(x97651,x97652)),f210(x97656))+E(f337(x97654,f670(x97652,x97651,x97654,x97655,x97656,x97653)),f210(x97656))
% 198.24/198.42 [9766]E(f337(x97661,x97662),f210(x97663))+~E(f337(f246(f887(x97666),x97663,f210(x97666),x97664),f337(x97661,x97662)),f210(x97666))+E(f337(f209(x97663),f670(x97662,x97661,x97664,x97665,x97666,x97663)),f337(x97661,x97662))
% 198.24/198.42 [9803]E(x98031,x98032)+E(x98033,x98034)+~P24(f337(f337(f339(f892(f885(x98035),f885(x98035))),f337(f337(f272(f885(x98035),f885(x98035)),f337(f337(f136(x98035),x98033),f337(f337(f153(x98035),x98031),f116(x98035)))),f337(f337(f136(x98035),x98034),f337(f337(f153(x98035),x98032),f116(x98035))))),f159(x98035,x98036)))
% 198.24/198.42 [9829]E(x98291,x98292)+~P24(f337(f337(f339(f892(f885(x98293),f885(x98293))),f337(f337(f272(f885(x98293),f885(x98293)),f337(f337(f136(x98293),x98291),f337(f337(f153(x98293),x98295),f116(x98293)))),f337(f337(f136(x98293),x98292),f337(f337(f153(x98293),x98296),f116(x98293))))),f159(x98293,x98294)))+P24(f337(f337(f339(f892(f885(x98293),f885(x98293))),f337(f337(f272(f885(x98293),f885(x98293)),x98291),x98292)),f159(x98293,x98294)))
% 198.24/198.42 [9866]~P24(f337(f337(f339(f892(f893(x98661,a878),f893(x98661,a878))),f337(f337(f272(f893(x98661,a878),f893(x98661,a878)),x98662),x98664)),f329(x98661,x98666)))+~P24(f337(f337(f339(f892(f893(x98661,a878),f893(x98661,a878))),f337(f337(f272(f893(x98661,a878),f893(x98661,a878)),x98663),x98665)),f329(x98661,x98666)))+P24(f337(f337(f339(f892(f893(x98661,a878),f893(x98661,a878))),f337(f337(f272(f893(x98661,a878),f893(x98661,a878)),f337(f337(f113(f893(x98661,a878)),x98662),x98663)),f337(f337(f113(f893(x98661,a878)),x98664),x98665))),f329(x98661,x98666)))
% 198.24/198.42 [5301]~E(f337(x53013,x53016),x53015)+~E(x53014,f337(f209(x53011),x53016))+E(f337(f337(f211(x53011,x53012),x53013),x53014),f337(f209(x53012),x53015))
% 198.24/198.42 [5716]~E(f337(f337(f136(x57161),x57166),x57163),x57165)+E(f337(f337(f136(x57161),x57162),x57163),f337(f337(f153(x57161),x57164),x57165))+~E(x57162,f337(f337(f153(x57161),x57164),x57166))
% 198.24/198.42 [5717]~E(f337(f337(f136(x57171),x57176),x57173),x57175)+E(f337(f337(f136(x57171),x57172),x57173),f337(f337(f136(x57171),x57174),x57175))+~E(x57172,f337(f337(f136(x57171),x57174),x57176))
% 198.24/198.42 [5719]E(f337(f337(f136(x57191),x57192),x57193),f337(f337(f153(x57191),x57194),x57195))+~E(f337(f337(f153(x57191),x57194),x57196),x57192)+~E(x57195,f337(f337(f136(x57191),x57196),x57193))
% 198.24/198.42 [5721]~E(f337(f337(f136(x57211),x57212),x57216),x57214)+E(f337(f337(f136(x57211),x57212),x57213),f337(f337(f136(x57211),x57214),x57215))+~E(x57213,f337(f337(f136(x57211),x57216),x57215))
% 198.24/198.42 [6853]E(f337(x68531,x68532),f337(x68533,x68532))+~E(f337(f337(f156(x68534,x68535),x68531),x68536),f337(f337(f156(x68534,x68535),x68533),x68536))+~P24(f337(f337(f339(x68534),x68532),f337(f175(x68534),x68536)))
% 198.24/198.42 [7238]~P15(x72384,x72385,x72386,x72381)+E(f337(f337(x72381,x72382),x72383),f337(f337(f65(x72384,x72385,x72386),x72383),x72382))+~P24(f337(f62(x72384),x72382))
% 198.24/198.42 [7304]~E(x73042,f337(x73044,x73046))+~P24(f337(f337(f339(x73043),x73046),x73045))+P24(f337(f337(f339(x73041),x73042),f337(f316(x73043,x73041,x73044),x73045)))
% 198.24/198.42 [7305]~E(f337(x73054,x73052),x73056)+~P24(f337(f337(f339(x73053),x73056),x73055))+P24(f337(f337(f339(x73051),x73052),f337(f317(x73051,x73053,x73054),x73055)))
% 198.24/198.42 [7761]~P34(x77611,x77612,x77614,x77616)+P34(x77611,x77612,f337(f337(f153(x77611),x77613),x77614),f337(f337(f153(x77611),x77615),x77616))+~P24(f337(f337(x77612,x77613),x77615))
% 198.24/198.42 [8749]~P53(x87494,x87495,x87491,x87492,x87496)+E(f337(x87491,f337(x87492,x87493)),x87493)+~P24(f337(f337(f339(x87495),x87493),x87496))
% 198.24/198.42 [9535]E(x95351,x95352)+E(f337(f198(f885(x95353)),x95354),f337(f198(f885(x95353)),x95355))+~P24(f337(f337(f339(f892(f885(x95353),f885(x95353))),f337(f337(f272(f885(x95353),f885(x95353)),f337(f337(f153(x95353),x95351),x95354)),f337(f337(f153(x95353),x95352),x95355))),f147(x95353,x95356)))
% 198.24/198.42 [9597]~P12(x95971,x95972,x95973)+E(f337(f337(f65(x95971,x95972,x95973),x95974),x95975),x95976)+~P24(f337(f67(x95971,x95972,x95973,x95974,x95975),x95976))
% 198.24/198.42 [9604]E(f337(f198(f885(x96041)),x96042),f337(f198(f885(x96041)),x96043))+P24(f337(f337(f339(f892(f885(x96041),f885(x96041))),f337(f337(f272(f885(x96041),f885(x96041)),x96042),x96043)),f147(x96041,x96044)))+~P24(f337(f337(f339(f892(f885(x96041),f885(x96041))),f337(f337(f272(f885(x96041),f885(x96041)),f337(f337(f153(x96041),x96045),x96042)),f337(f337(f153(x96041),x96046),x96043))),f147(x96041,x96044)))
% 198.24/198.42 [9626]~P24(f337(f337(f339(f892(x96261,x96261)),f337(f337(f272(x96261,x96261),x96262),x96264)),f313(x96261,x96266)))+P24(f337(f337(f339(f892(f885(x96261),f885(x96261))),f337(f337(f272(f885(x96261),f885(x96261)),f337(f337(f153(x96261),x96262),x96263)),f337(f337(f153(x96261),x96264),x96265))),f313(f885(x96261),f159(x96261,x96266))))+~P24(f337(f337(f339(f892(f885(x96261),f885(x96261))),f337(f337(f272(f885(x96261),f885(x96261)),x96263),x96265)),f313(f885(x96261),f159(x96261,x96266))))
% 198.24/198.42 [9809]~P24(f337(x98092,x98096))+~E(f337(f138(x98091,x98092),x98093),f337(f337(f153(x98091),x98094),x98095))+~P24(f337(f337(f339(x98091),x98096),f337(f175(x98091),f775(x98095,x98094,x98093,x98092,x98091))))
% 198.24/198.42 [9810]~P24(f337(x98104,x98106))+~E(f337(f337(f153(x98101),x98102),x98103),f337(f138(x98101,x98104),x98105))+~P24(f337(f337(f339(x98101),x98106),f337(f175(x98101),f780(x98105,x98104,x98103,x98102,x98101))))
% 198.24/198.42 [10113]~P70(x101132)+E(f337(f337(f6(x101131,x101132),f337(f337(f8(f893(x101133,a878),x101132,x101131),f337(f6(x101133,x101132),x101134)),f337(f337(f8(f893(x101133,a878),f893(x101133,a878),x101131),f257(x101133)),f337(f337(f8(f893(x101133,a878),f893(x101133,a878),x101131),f337(f18(x101133,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101133),a335),f337(f337(f7(x101133,f893(x101133,a878),a878),f339(x101133)),x101135)))),f337(f7(x101133,x101131,a878),f337(f337(f8(x101131,f893(x101131,a878),x101133),a334),x101136)))))),f337(f316(x101133,x101131,x101136),x101135)),f337(f337(f6(x101133,x101132),x101134),x101135))+~P24(f337(f62(x101133),x101135))
% 198.24/198.42 [6911]~P105(x69113)+P24(f337(x69112,x69115))+E(f337(f138(x69111,x69112),f337(f337(f150(x69111,x69113,x69114),x69115),x69116)),f337(f138(x69111,x69112),x69116))
% 198.24/198.42 [6913]P24(f337(x69131,x69132))+~E(f169(x69133,x69131,x69134),f337(f337(f272(f885(x69133),f885(x69133)),x69135),x69136))+~P24(f337(f337(f339(x69133),x69132),f337(f175(x69133),x69135)))
% 198.24/198.42 [6957]~P24(f337(x69572,x69576))+~E(f169(x69571,x69572,x69573),f337(f337(f272(f885(x69571),f885(x69571)),x69574),x69575))+~P24(f337(f337(f339(x69571),x69576),f337(f175(x69571),x69575)))
% 198.24/198.42 [7625]~P11(x76251,x76252,x76253)+~P24(f337(f62(x76251),x76256))+E(f337(f337(f65(x76251,x76252,x76253),x76254),f337(f337(f315(x76251),x76255),x76256)),f337(f337(f65(x76251,x76252,x76253),f337(f337(x76253,x76255),x76254)),x76256))
% 198.24/198.42 [7676]~P105(x76762)+~P24(f337(f337(f251(x76762),f337(x76763,x76764)),f337(x76763,x76765)))+E(f337(f337(f150(x76761,x76762,x76763),x76764),f337(f337(f153(x76761),x76765),x76766)),f337(f337(f153(x76761),x76764),f337(f337(f153(x76761),x76765),x76766)))
% 198.24/198.42 [7791]E(x77911,x77912)+~E(f337(f337(f274(x77913,x77914),x77911),f337(f16(f893(x77914,a878),x77913),x77915)),f337(f337(f274(x77913,x77914),x77912),f337(f16(f893(x77914,a878),x77913),x77915)))+~P24(f337(f337(f339(x77914),x77916),x77915))
% 198.24/198.42 [7856]~P11(x78561,x78562,x78563)+~P24(f337(f62(x78561),x78566))+E(f337(f337(f65(x78561,x78562,x78563),x78564),f337(f337(f315(x78561),x78565),x78566)),f337(f337(x78563,x78565),f337(f337(f65(x78561,x78562,x78563),x78564),x78566)))
% 198.24/198.42 [7970]~P12(x79701,x79702,x79703)+~P24(f337(f62(x79701),x79706))+E(f337(f337(f65(x79701,x79702,x79703),f337(f337(x79703,x79704),x79705)),x79706),f337(f337(x79703,x79704),f337(f337(f65(x79701,x79702,x79703),x79705),x79706)))
% 198.24/198.42 [8041]~P16(x80412,x80415,x80416,x80411)+~P24(f337(f62(x80412),x80414))+E(f337(x80411,f337(f337(f315(x80412),x80413),x80414)),f337(f74(x80415,x80415,x80415,f337(x80411,x80414)),f337(x80416,x80413)))
% 198.24/198.42 [8073]~P105(x80732)+P24(f337(f337(f251(x80732),f337(x80733,x80734)),f337(x80733,x80735)))+E(f337(f337(f150(x80731,x80732,x80733),x80734),f337(f337(f153(x80731),x80735),x80736)),f337(f337(f153(x80731),x80735),f337(f337(f150(x80731,x80732,x80733),x80734),x80736)))
% 198.24/198.42 [8211]~E(f337(f198(f885(x82111)),x82115),f337(f198(f885(x82112)),x82116))+~E(f337(f198(f885(x82111)),x82113),f337(f198(f885(x82112)),x82114))+E(f337(f337(f136(f892(x82111,x82112)),f337(f337(f185(x82111,x82112),x82113),x82114)),f337(f337(f185(x82111,x82112),x82115),x82116)),f337(f337(f185(x82111,x82112),f337(f337(f136(x82111),x82113),x82115)),f337(f337(f136(x82112),x82114),x82116)))
% 198.24/198.42 [8326]~E(x83262,f337(f316(x83263,x83261,x83264),x83266))+P24(f337(f337(f251(f893(x83261,a878)),x83262),f337(f316(x83263,x83261,x83264),x83265)))+~P24(f337(f337(f251(f893(x83263,a878)),x83266),x83265))
% 198.24/198.42 [8425]~P105(x84255)+E(f337(x84251,x84252),f337(x84251,x84253))+E(f337(f337(f150(x84254,x84255,x84251),x84252),f337(f337(f150(x84254,x84255,x84251),x84253),x84256)),f337(f337(f150(x84254,x84255,x84251),x84253),f337(f337(f150(x84254,x84255,x84251),x84252),x84256)))
% 198.24/198.42 [8458]~P21(x84583,x84581,x84584,x84585)+P21(x84583,x84581,f337(f337(f337(f73(x84583,x84581),x84584),x84586),x84582),x84585)+P24(f337(f337(f339(x84581),x84582),f337(f316(x84583,x84581,x84584),x84585)))
% 198.24/198.42 [8593]~P24(f337(f337(f339(x85932),x85934),f337(x85936,x85933)))+~P24(f337(f337(f339(x85931),x85933),x85935))+P24(f337(f337(f339(f892(x85931,x85932)),f337(f337(f272(x85931,x85932),x85933),x85934)),f337(f337(f274(x85931,x85932),x85935),x85936)))
% 198.24/198.42 [9044]~P70(x90442)+~P21(x90444,x90441,x90445,x90446)+E(f337(f337(f6(x90441,x90442),x90443),f337(f316(x90444,x90441,x90445),x90446)),f337(f337(f6(x90444,x90442),f337(f74(x90441,x90442,x90444,x90443),x90445)),x90446))
% 198.24/198.42 [9045]~P74(x90452)+~P21(x90454,x90451,x90455,x90456)+E(f337(f337(f9(x90451,x90452),x90453),f337(f316(x90454,x90451,x90455),x90456)),f337(f337(f9(x90454,x90452),f337(f74(x90451,x90452,x90454,x90453),x90455)),x90456))
% 198.24/198.42 [9092]~P36(x90922,x90925,x90921,x90923,x90926)+P24(f337(f337(x90921,f337(f337(f167(x90922),x90923),x90924)),f337(f337(f167(x90925),x90926),x90924)))+~P24(f337(f337(f252(a884),x90924),f337(f198(f885(x90925)),x90926)))
% 198.24/198.42 [9093]~P36(x90932,x90935,x90931,x90933,x90936)+P24(f337(f337(x90931,f337(f337(f167(x90932),x90933),x90934)),f337(f337(f167(x90935),x90936),x90934)))+~P24(f337(f337(f252(a884),x90934),f337(f198(f885(x90932)),x90933)))
% 198.24/198.42 [9298]~P15(x92983,x92981,x92986,x92982)+~P24(f337(f62(x92983),x92984))+E(f337(f74(x92981,x92981,x92981,f337(x92982,f337(f337(f22(f893(x92983,a878)),x92984),f337(f337(f315(x92983),x92985),f197(f893(x92983,a878)))))),f337(x92986,x92985)),f337(x92982,f337(f337(f315(x92983),x92985),x92984)))
% 198.24/198.42 [9901]~E(f337(f316(x99012,x99014,x99016),f260(f893(x99012,a878))),f260(f893(x99014,a878)))+~E(f337(f316(x99011,x99013,x99015),f260(f893(x99011,a878))),f260(f893(x99013,a878)))+E(f337(f316(f892(x99011,x99012),f892(x99013,x99014),f277(x99011,x99013,x99012,x99014,x99015,x99016)),f260(f893(f892(x99011,x99012),a878))),f260(f893(f892(x99013,x99014),a878)))
% 198.24/198.42 [9949]~P21(x99493,x99494,x99495,f337(x99496,f646(x99496,x99495,x99494,x99493,x99492,x99491)))+P21(x99493,x99494,x99495,f337(f337(f43(x99492,f893(x99493,a878)),x99491),x99496))+E(x99491,f197(f893(x99492,a878)))
% 198.24/198.42 [10007]P21(x100076,x100075,x100074,f337(f337(f43(x100072,f893(x100076,a878)),x100071),x100073))+E(x100071,f197(f893(x100072,a878)))+P24(f337(f337(f339(x100072),f646(x100073,x100074,x100075,x100076,x100072,x100071)),x100071))
% 198.24/198.42 [10012]P24(f337(f337(f339(x100121),f580(x100122,x100123,x100124,x100125,x100126,x100121)),x100126))+P24(f337(f337(f251(f893(f892(x100121,x100124),a878)),f337(f337(f274(x100121,x100124),x100126),x100123)),f337(f337(f274(x100121,x100124),x100125),x100122)))+~P24(f337(f337(f251(f893(x100121,a878)),x100126),x100125))
% 198.24/198.42 [10050]P20(x100506,x100505,f337(f337(f315(f882(x100506)),f337(f337(f337(f93(x100506),x100501),x100503),x100502)),f197(f893(f882(x100506),a878))))+~P20(x100506,x100505,f337(f337(f315(f882(x100506)),f337(f337(f337(f93(x100506),x100504),x100503),x100502)),f197(f893(f882(x100506),a878))))+P24(f337(f337(x100501,f497(x100501,x100502,x100503,x100504,x100505,x100506)),f506(x100501,x100502,x100503,x100504,x100505,x100506)))
% 198.24/198.42 [10051]P20(x100516,x100515,f337(f337(f315(f882(x100516)),f337(f337(f337(f93(x100516),x100514),x100513),x100512)),f197(f893(f882(x100516),a878))))+~P20(x100516,x100515,f337(f337(f315(f882(x100516)),f337(f337(f337(f93(x100516),x100514),x100513),x100511)),f197(f893(f882(x100516),a878))))+P24(f337(f337(x100511,f521(x100512,x100511,x100513,x100514,x100515,x100516)),f531(x100512,x100511,x100513,x100514,x100515,x100516)))
% 198.24/198.42 [10089]~P20(x100891,x100892,f337(f337(f315(f882(x100891)),f337(f337(f337(f93(x100891),x100893),x100894),x100896)),f197(f893(f882(x100891),a878))))+P20(x100891,x100892,f337(f337(f315(f882(x100891)),f337(f337(f337(f93(x100891),x100893),x100894),x100895)),f197(f893(f882(x100891),a878))))+~P24(f337(f337(x100895,f521(x100895,x100896,x100894,x100893,x100892,x100891)),f531(x100895,x100896,x100894,x100893,x100892,x100891)))
% 198.24/198.42 [10090]~P20(x100901,x100902,f337(f337(f315(f882(x100901)),f337(f337(f337(f93(x100901),x100906),x100904),x100905)),f197(f893(f882(x100901),a878))))+P20(x100901,x100902,f337(f337(f315(f882(x100901)),f337(f337(f337(f93(x100901),x100903),x100904),x100905)),f197(f893(f882(x100901),a878))))+~P24(f337(f337(x100906,f497(x100903,x100905,x100904,x100906,x100902,x100901)),f506(x100903,x100905,x100904,x100906,x100902,x100901)))
% 198.24/198.42 [10124]~P24(f337(f337(f251(f893(x101242,a878)),f337(x101244,f580(x101246,x101244,x101242,x101245,x101243,x101241))),f337(x101246,f580(x101246,x101244,x101242,x101245,x101243,x101241))))+~P24(f337(f337(f251(f893(x101241,a878)),x101243),x101245))+P24(f337(f337(f251(f893(f892(x101241,x101242),a878)),f337(f337(f274(x101241,x101242),x101243),x101244)),f337(f337(f274(x101241,x101242),x101245),x101246)))
% 198.24/198.42 [7811]~P24(f337(x78111,x78115))+~P24(f337(x78116,x78114))+P24(f337(x78111,f337(f275(x78112,x78113),f337(f337(f272(x78112,x78113),x78114),x78115))))
% 198.24/198.42 [7812]~P24(f337(x78121,x78124))+~P24(f337(x78126,x78125))+P24(f337(x78121,f337(f271(x78122,x78123),f337(f337(f272(x78122,x78123),x78124),x78125))))
% 198.24/198.42 [7833]~E(f337(f198(f885(x78331)),x78333),f337(f198(f885(x78334)),x78335))+~E(f337(f337(f181(x78331,x78334),f337(f337(f185(x78331,x78334),x78333),x78335)),x78332),f337(f209(x78334),x78336))+P24(f337(f337(f339(x78331),x78332),f337(f175(x78331),x78333)))
% 198.24/198.42 [7861]~P24(f337(f337(x78614,x78616),x78615))+~P24(f337(f337(f339(x78611),x78616),x78613))+P24(f337(f337(f337(f42(x78611,f893(x78612,a878)),x78613),x78614),x78615))
% 198.24/198.42 [8161]~P24(f337(f337(f339(x81611),x81612),f337(x81615,x81616)))+~P24(f337(f337(f339(x81613),x81616),x81614))+P24(f337(f337(f339(x81611),x81612),f337(f337(f42(x81613,f893(x81611,a878)),x81614),x81615)))
% 198.24/198.42 [8204]P24(f337(f337(x82041,x82042),x82043))+~P24(f337(f337(x82044,x82042),x82043))+~P24(f337(f337(f251(f893(x82045,f893(x82046,a878))),x82044),x82041))
% 198.24/198.42 [8348]P24(f337(f337(x83481,x83482),x83483))+~P24(f337(f337(f339(x83484),x83482),x83485))+~P24(f337(f337(f337(f43(x83484,f893(x83486,a878)),x83485),x83481),x83483))
% 198.24/198.42 [8480]P24(f337(f337(f339(x84801),x84802),f337(x84803,x84804)))+~P24(f337(f337(f339(x84805),x84804),x84806))+~P24(f337(f337(f339(x84801),x84802),f337(f337(f43(x84805,f893(x84801,a878)),x84806),x84803)))
% 198.24/198.42 [8731]~P9(x87314,x87315,x87316,x87311)+E(f337(x87311,x87312),f337(x87311,x87313))+~P24(f337(f337(f339(f892(x87314,x87314)),f337(f337(f272(x87314,x87314),x87312),x87313)),x87316))
% 198.24/198.42 [8762]P24(f337(f337(f251(f893(x87621,a878)),x87622),f337(x87623,x87624)))+~P24(f337(f337(f339(x87625),x87624),x87626))+~P24(f337(f337(f251(f893(x87621,a878)),x87622),f337(f337(f43(x87625,f893(x87621,a878)),x87626),x87623)))
% 198.24/198.42 [8790]~P51(x87903,x87904,f337(f292(x87904,x87903),x87905))+E(x87901,f197(f893(x87902,a878)))+E(f337(f337(f43(x87902,f893(x87903,a878)),x87901),f337(f337(f8(f893(x87904,a878),f893(x87903,a878),x87902),f291(x87904,x87903,x87905)),x87906)),f337(f291(x87904,x87903,x87905),f337(f337(f43(x87902,f893(x87904,a878)),x87901),x87906)))
% 198.24/198.42 [8865]P24(f337(f337(f339(x88651),x88652),f337(f291(x88653,x88651,x88654),x88655)))+~P24(f337(f337(f339(x88653),x88656),x88655))+~P24(f337(f337(f339(f892(x88653,x88651)),f337(f337(f272(x88653,x88651),x88656),x88652)),x88654))
% 198.24/198.42 [9168]P24(f337(f337(f251(f893(x91681,a878)),f337(f291(x91682,x91681,x91683),x91684)),f337(f291(x91682,x91681,x91685),x91686)))+~P24(f337(f337(f251(f893(x91682,a878)),x91684),x91686))+~P24(f337(f337(f251(f893(f892(x91682,x91681),a878)),x91683),x91685))
% 198.24/198.42 [9342]~P24(f337(f337(f339(x93422),x93426),x93424))+~P24(f337(f337(f251(f893(x93421,a878)),x93423),x93425))+P24(f337(f337(f251(f893(f892(x93421,x93422),a878)),f337(f337(f274(x93421,x93422),x93423),f337(f16(f893(x93422,a878),x93421),x93424))),f337(f337(f274(x93421,x93422),x93425),f337(f16(f893(x93422,a878),x93421),x93424))))
% 198.24/198.42 [9355]~P36(x93551,x93552,x93553,x93555,x93556)+P24(f337(f337(f276(x93551,x93552,a878),x93553),x93554))+~P24(f337(f337(f339(f892(x93551,x93552)),x93554),f337(f175(f892(x93551,x93552)),f337(f337(f185(x93551,x93552),x93555),x93556))))
% 198.24/198.42 [9491]~E(x94913,x94915)+P24(f337(f337(f339(f892(f885(x94911),f885(x94911))),f337(f337(f272(f885(x94911),f885(x94911)),f337(f337(f153(x94911),x94912),x94913)),f337(f337(f153(x94911),x94914),x94915))),f159(x94911,x94916)))+~P24(f337(f337(f339(f892(x94911,x94911)),f337(f337(f272(x94911,x94911),x94912),x94914)),x94916))
% 198.24/198.42 [9497]~E(f337(f198(f885(x94971)),x94975),f337(f198(f885(x94972)),x94976))+E(f190(x94971,x94972,f191(x94971,x94972,x94973,f337(f337(f22(f893(x94971,a878)),x94974),f337(f175(x94971),x94975))),x94975,x94976),f191(x94971,x94972,f190(x94971,x94972,x94973,x94975,x94976),x94974))+~P24(f337(f337(f251(f893(x94971,a878)),f337(f175(x94971),x94975)),x94974))
% 198.24/198.42 [9498]~E(f337(f198(f885(x94981)),x94983),f337(f198(f885(x94981)),x94985))+P24(f337(f337(f339(f892(f885(x94981),f885(x94981))),f337(f337(f272(f885(x94981),f885(x94981)),f337(f337(f153(x94981),x94982),x94983)),f337(f337(f153(x94981),x94984),x94985))),f147(x94981,x94986)))+~P24(f337(f337(f339(f892(x94981,x94981)),f337(f337(f272(x94981,x94981),x94982),x94984)),x94986))
% 198.24/198.42 [9527]P24(f337(f337(f339(f892(x95271,x95271)),f337(f337(f272(x95271,x95271),x95272),x95273)),f337(f337(f192(f892(x95271,x95271),a878),f337(a115,x95274)),x95275)))+~P24(f337(f337(f339(f892(x95271,x95271)),f337(f337(f272(x95271,x95271),x95276),x95273)),x95275))+~P24(f337(f337(f339(f892(x95271,x95271)),f337(f337(f272(x95271,x95271),x95272),x95276)),f337(f337(f192(f892(x95271,x95271),a878),x95274),x95275)))
% 198.24/198.42 [9528]P24(f337(f337(f339(f892(x95281,x95281)),f337(f337(f272(x95281,x95281),x95282),x95283)),f337(f337(f192(f892(x95281,x95281),a878),f337(a115,x95284)),x95285)))+~P24(f337(f337(f339(f892(x95281,x95281)),f337(f337(f272(x95281,x95281),x95282),x95286)),x95285))+~P24(f337(f337(f339(f892(x95281,x95281)),f337(f337(f272(x95281,x95281),x95286),x95283)),f337(f337(f192(f892(x95281,x95281),a878),x95284),x95285)))
% 198.24/198.42 [9531]~P24(f337(f337(f339(x95314),x95315),x95316))+P24(f337(f337(f251(f893(x95311,a878)),x95312),x95313))+~P24(f337(f337(f251(f893(f892(x95311,x95314),a878)),f337(f337(f274(x95311,x95314),x95312),f337(f16(f893(x95314,a878),x95311),x95316))),f337(f337(f274(x95311,x95314),x95313),f337(f16(f893(x95314,a878),x95311),x95316))))
% 198.24/198.42 [9575]E(x95751,x95752)+~P24(f337(f337(f339(f892(f885(x95753),f885(x95753))),f337(f337(f272(f885(x95753),f885(x95753)),f337(f337(f153(x95753),x95751),x95755)),f337(f337(f153(x95753),x95752),x95756))),f147(x95753,x95754)))+P24(f337(f337(f339(f892(x95753,x95753)),f337(f337(f272(x95753,x95753),x95751),x95752)),x95754))
% 198.24/198.42 [9576]E(x95761,x95762)+~P24(f337(f337(f339(f892(f885(x95763),f885(x95763))),f337(f337(f272(f885(x95763),f885(x95763)),f337(f337(f153(x95763),x95761),x95765)),f337(f337(f153(x95763),x95762),x95766))),f149(x95763,x95764)))+P24(f337(f337(f339(f892(x95763,x95763)),f337(f337(f272(x95763,x95763),x95761),x95762)),x95764))
% 198.24/198.42 [9577]E(x95771,x95772)+~P24(f337(f337(f339(f892(f885(x95773),f885(x95773))),f337(f337(f272(f885(x95773),f885(x95773)),f337(f337(f153(x95773),x95771),x95775)),f337(f337(f153(x95773),x95772),x95776))),f159(x95773,x95774)))+P24(f337(f337(f339(f892(x95773,x95773)),f337(f337(f272(x95773,x95773),x95771),x95772)),x95774))
% 198.24/198.42 [9612]P24(f337(f337(f339(f892(f885(x96121),f885(x96121))),f337(f337(f272(f885(x96121),f885(x96121)),f337(f337(f153(x96121),x96122),x96123)),f337(f337(f153(x96121),x96124),x96125))),f160(x96121,x96126)))+~P24(f337(f337(f339(f892(f885(x96121),f885(x96121))),f337(f337(f272(f885(x96121),f885(x96121)),x96123),x96125)),f160(x96121,x96126)))+~P24(f337(f337(f339(f892(x96121,x96121)),f337(f337(f272(x96121,x96121),x96122),x96124)),x96126))
% 198.24/198.42 [9630]P24(f337(x96301,x96302))+~P24(f337(x96301,f463(x96301,x96303,x96304,x96305,x96306)))+~P24(f337(f337(f339(x96306),x96302),f337(f337(f42(x96305,f893(x96306,a878)),x96304),x96303)))
% 198.24/198.42 [9635]~P24(f337(f337(f339(f892(f885(x96351),f885(x96351))),f337(f337(f272(f885(x96351),f885(x96351)),f337(f337(f153(x96351),x96352),x96355)),f337(f337(f153(x96351),x96353),x96356))),f147(x96351,x96354)))+P24(f337(f337(f339(f892(f885(x96351),f885(x96351))),f337(f337(f272(f885(x96351),f885(x96351)),x96355),x96356)),f147(x96351,x96354)))+P24(f337(f337(f339(f892(x96351,x96351)),f337(f337(f272(x96351,x96351),x96352),x96353)),x96354))
% 198.24/198.42 [9636]~P24(f337(f337(f339(f892(f885(x96361),f885(x96361))),f337(f337(f272(f885(x96361),f885(x96361)),f337(f337(f153(x96361),x96362),x96365)),f337(f337(f153(x96361),x96363),x96366))),f149(x96361,x96364)))+P24(f337(f337(f339(f892(f885(x96361),f885(x96361))),f337(f337(f272(f885(x96361),f885(x96361)),x96365),x96366)),f149(x96361,x96364)))+P24(f337(f337(f339(f892(x96361,x96361)),f337(f337(f272(x96361,x96361),x96362),x96363)),x96364))
% 198.24/198.42 [9637]~P24(f337(f337(f339(f892(f885(x96371),f885(x96371))),f337(f337(f272(f885(x96371),f885(x96371)),f337(f337(f153(x96371),x96372),x96375)),f337(f337(f153(x96371),x96373),x96376))),f159(x96371,x96374)))+P24(f337(f337(f339(f892(f885(x96371),f885(x96371))),f337(f337(f272(f885(x96371),f885(x96371)),x96375),x96376)),f159(x96371,x96374)))+P24(f337(f337(f339(f892(x96371,x96371)),f337(f337(f272(x96371,x96371),x96372),x96373)),x96374))
% 198.24/198.42 [9721]P24(f337(x97211,x97212))+P24(f337(f337(f339(x97213),f464(x97211,x97214,x97215,x97213,x97216)),x97215))+~P24(f337(f337(f339(x97216),x97212),f337(f337(f42(x97213,f893(x97216,a878)),x97215),x97214)))
% 198.24/198.42 [9732]~E(x97322,x97324)+P24(f337(f337(f339(f892(f885(x97321),f885(x97321))),f337(f337(f272(f885(x97321),f885(x97321)),f337(f337(f136(x97321),x97322),f337(f337(f153(x97321),x97323),f116(x97321)))),f337(f337(f136(x97321),x97324),f337(f337(f153(x97321),x97325),f116(x97321))))),f159(x97321,x97326)))+~P24(f337(f337(f339(f892(x97321,x97321)),f337(f337(f272(x97321,x97321),x97323),x97325)),x97326))
% 198.24/198.42 [9819]E(x98191,x98192)+~P24(f337(f337(f339(f892(f885(x98193),f885(x98193))),f337(f337(f272(f885(x98193),f885(x98193)),f337(f337(f136(x98193),x98195),f337(f337(f153(x98193),x98191),f116(x98193)))),f337(f337(f136(x98193),x98196),f337(f337(f153(x98193),x98192),f116(x98193))))),f159(x98193,x98194)))+P24(f337(f337(f339(f892(x98193,x98193)),f337(f337(f272(x98193,x98193),x98191),x98192)),x98194))
% 198.24/198.42 [9848]~P24(f337(f337(f339(f892(f885(x98481),f885(x98481))),f337(f337(f272(f885(x98481),f885(x98481)),f337(f337(f136(x98481),x98485),f337(f337(f153(x98481),x98482),f116(x98481)))),f337(f337(f136(x98481),x98486),f337(f337(f153(x98481),x98483),f116(x98481))))),f159(x98481,x98484)))+P24(f337(f337(f339(f892(f885(x98481),f885(x98481))),f337(f337(f272(f885(x98481),f885(x98481)),x98485),x98486)),f159(x98481,x98484)))+P24(f337(f337(f339(f892(x98481,x98481)),f337(f337(f272(x98481,x98481),x98482),x98483)),x98484))
% 198.24/198.42 [9867]P24(f337(x98671,x98672))+P24(f337(f337(f339(x98673),f463(x98671,x98674,x98675,x98676,x98673)),f337(x98674,f464(x98671,x98674,x98675,x98676,x98673))))+~P24(f337(f337(f339(x98673),x98672),f337(f337(f42(x98676,f893(x98673,a878)),x98675),x98674)))
% 198.24/198.42 [8880]~P12(x88803,x88804,x88801)+~P24(f337(f62(x88803),x88806))+E(f337(f337(x88801,x88802),f337(f337(f65(x88803,x88804,x88801),x88805),f337(f337(f22(f893(x88803,a878)),x88806),f337(f337(f315(x88803),x88802),f197(f893(x88803,a878)))))),f337(f337(f65(x88803,x88804,x88801),x88805),f337(f337(f315(x88803),x88802),x88806)))
% 198.24/198.42 [8964]~E(f337(f337(f181(x89641,x89642),x89644),x89645),f337(f209(x89642),x89646))+~P24(f337(f337(x89643,x89645),x89646))+E(f337(f337(f181(x89641,x89642),f337(f138(f892(x89641,x89642),f337(f276(x89641,x89642,a878),x89643)),x89644)),x89645),f337(f209(x89642),x89646))
% 198.24/198.42 [9175]~P24(f337(f337(f339(x91755),x91753),x91756))+P24(f337(f337(f251(f893(x91751,a878)),f337(x91752,x91753)),x91754))+~P24(f337(f337(f251(f893(x91751,a878)),f337(f337(f42(x91755,f893(x91751,a878)),x91756),x91752)),x91754))
% 198.24/198.42 [9792]~P6(x97921,x97925,x97924)+P24(f337(f337(f339(f892(x97921,x97921)),f337(f337(f272(x97921,x97921),x97922),x97923)),x97924))+~P24(f337(f337(f339(x97921),x97926),f337(f337(f104(f893(x97921,a878)),f337(f291(x97921,x97921,x97924),f337(f337(f315(x97921),x97922),f197(f893(x97921,a878))))),f337(f291(x97921,x97921,x97924),f337(f337(f315(x97921),x97923),f197(f893(x97921,a878)))))))
% 198.24/198.42 [8629]~P108(x86292)+~E(f337(f337(f81(x86292),f337(f337(f82(x86292),x86294),x86295)),x86291),f337(f337(f81(x86292),f337(f337(f82(x86292),x86293),x86295)),x86296))+E(x86291,f337(f337(f81(x86292),f337(f337(f82(x86292),f337(f337(f22(x86292),x86293),x86294)),x86295)),x86296))
% 198.24/198.42 [8630]~P108(x86301)+~E(f337(f337(f81(x86301),f337(f337(f82(x86301),x86302),x86304)),x86305),f337(f337(f81(x86301),f337(f337(f82(x86301),x86303),x86304)),x86306))+E(f337(f337(f81(x86301),f337(f337(f82(x86301),f337(f337(f22(x86301),x86302),x86303)),x86304)),x86305),x86306)
% 198.24/198.42 [8793]~P108(x87931)+E(f337(f337(f81(x87931),f337(f337(f82(x87931),x87932),x87933)),x87934),f337(f337(f81(x87931),f337(f337(f82(x87931),x87935),x87933)),x87936))+~E(x87936,f337(f337(f81(x87931),f337(f337(f82(x87931),f337(f337(f22(x87931),x87932),x87935)),x87933)),x87934))
% 198.24/198.42 [8794]~P108(x87941)+E(f337(f337(f81(x87941),f337(f337(f82(x87941),x87942),x87943)),x87944),f337(f337(f81(x87941),f337(f337(f82(x87941),x87945),x87943)),x87946))+~E(f337(f337(f81(x87941),f337(f337(f82(x87941),f337(f337(f22(x87941),x87942),x87945)),x87943)),x87944),x87946)
% 198.24/198.42 [9112]~P24(f337(f337(x91124,x91125),x91126))+~P24(f337(f337(x91123,x91125),x91126))+P24(f337(f337(f337(f337(f104(f893(x91121,f893(x91122,a878))),x91123),x91124),x91125),x91126))
% 198.24/198.42 [9363]P24(f337(f337(x93631,x93632),x93633))+P24(f337(f337(x93634,x93632),x93633))+~P24(f337(f337(f337(f337(f113(f893(x93635,f893(x93636,a878))),x93634),x93631),x93632),x93633))
% 198.24/198.42 [9650]~P109(x96501)+~P24(f337(f337(f251(x96501),f337(f337(f81(x96501),f337(f337(f82(x96501),x96504),x96505)),x96502)),f337(f337(f81(x96501),f337(f337(f82(x96501),x96503),x96505)),x96506)))+P24(f337(f337(f251(x96501),x96502),f337(f337(f81(x96501),f337(f337(f82(x96501),f337(f337(f22(x96501),x96503),x96504)),x96505)),x96506)))
% 198.24/198.42 [9651]~P109(x96511)+~P24(f337(f337(f252(x96511),f337(f337(f81(x96511),f337(f337(f82(x96511),x96514),x96515)),x96512)),f337(f337(f81(x96511),f337(f337(f82(x96511),x96513),x96515)),x96516)))+P24(f337(f337(f252(x96511),x96512),f337(f337(f81(x96511),f337(f337(f82(x96511),f337(f337(f22(x96511),x96513),x96514)),x96515)),x96516)))
% 198.24/198.42 [9674]~P109(x96741)+P24(f337(f337(f251(x96741),f337(f337(f81(x96741),f337(f337(f82(x96741),x96742),x96743)),x96744)),f337(f337(f81(x96741),f337(f337(f82(x96741),x96745),x96743)),x96746)))+~P24(f337(f337(f251(x96741),x96744),f337(f337(f81(x96741),f337(f337(f82(x96741),f337(f337(f22(x96741),x96745),x96742)),x96743)),x96746)))
% 198.24/198.42 [9675]~P109(x96751)+P24(f337(f337(f252(x96751),f337(f337(f81(x96751),f337(f337(f82(x96751),x96752),x96753)),x96754)),f337(f337(f81(x96751),f337(f337(f82(x96751),x96755),x96753)),x96756)))+~P24(f337(f337(f252(x96751),x96754),f337(f337(f81(x96751),f337(f337(f82(x96751),f337(f337(f22(x96751),x96755),x96752)),x96753)),x96756)))
% 198.24/198.42 [9780]~P109(x97801)+~P24(f337(f337(f251(x97801),f337(f337(f81(x97801),f337(f337(f82(x97801),x97802),x97804)),x97805)),f337(f337(f81(x97801),f337(f337(f82(x97801),x97803),x97804)),x97806)))+P24(f337(f337(f251(x97801),f337(f337(f81(x97801),f337(f337(f82(x97801),f337(f337(f22(x97801),x97802),x97803)),x97804)),x97805)),x97806))
% 198.24/198.42 [9781]~P109(x97811)+~P24(f337(f337(f252(x97811),f337(f337(f81(x97811),f337(f337(f82(x97811),x97812),x97814)),x97815)),f337(f337(f81(x97811),f337(f337(f82(x97811),x97813),x97814)),x97816)))+P24(f337(f337(f252(x97811),f337(f337(f81(x97811),f337(f337(f82(x97811),f337(f337(f22(x97811),x97812),x97813)),x97814)),x97815)),x97816))
% 198.24/198.42 [9831]~P109(x98311)+P24(f337(f337(f251(x98311),f337(f337(f81(x98311),f337(f337(f82(x98311),x98312),x98313)),x98314)),f337(f337(f81(x98311),f337(f337(f82(x98311),x98315),x98313)),x98316)))+~P24(f337(f337(f251(x98311),f337(f337(f81(x98311),f337(f337(f82(x98311),f337(f337(f22(x98311),x98312),x98315)),x98313)),x98314)),x98316))
% 198.24/198.42 [9832]~P109(x98321)+P24(f337(f337(f252(x98321),f337(f337(f81(x98321),f337(f337(f82(x98321),x98322),x98323)),x98324)),f337(f337(f81(x98321),f337(f337(f82(x98321),x98325),x98323)),x98326)))+~P24(f337(f337(f252(x98321),f337(f337(f81(x98321),f337(f337(f82(x98321),f337(f337(f22(x98321),x98322),x98325)),x98323)),x98324)),x98326))
% 198.24/198.42 [10001]~P70(x100012)+~P24(f337(f62(x100011),x100016))+E(f337(f337(f6(x100011,x100012),f337(f337(f18(x100011,x100012,x100012),f337(f337(f18(x100011,x100012,f893(x100012,x100012)),f337(f337(f8(a878,f893(x100012,f893(x100012,x100012)),x100011),f99(x100012)),x100013)),x100014)),x100015)),x100016),f337(f337(f81(x100012),f337(f337(f6(x100011,x100012),x100014),f337(f337(f104(f893(x100011,a878)),x100016),f337(f257(x100011),x100013)))),f337(f337(f6(x100011,x100012),x100015),f337(f337(f104(f893(x100011,a878)),x100016),f337(f80(f893(x100011,a878)),f337(f257(x100011),x100013))))))
% 198.24/198.42 [10060]P24(f337(f337(f339(x100602),x100604),x100606))+P24(f337(f337(f339(x100602),x100605),x100606))+E(f337(f317(x100601,x100602,f337(f337(f7(x100601,x100602,x100602),f337(f337(f7(x100601,x100602,f893(x100602,x100602)),f337(f337(f8(a878,f893(x100602,f893(x100602,x100602)),x100601),f99(x100602)),f337(f337(f7(x100601,f893(x100601,a878),a878),f339(x100601)),x100603))),x100604)),x100605)),x100606),f197(f893(x100601,a878)))
% 198.24/198.42 [10061]P24(f337(f337(f339(x100612),x100615),x100616))+~P24(f337(f337(f339(x100612),x100614),x100616))+E(f337(f317(x100611,x100612,f337(f337(f7(x100611,x100612,x100612),f337(f337(f7(x100611,x100612,f893(x100612,x100612)),f337(f337(f8(a878,f893(x100612,f893(x100612,x100612)),x100611),f99(x100612)),f337(f337(f7(x100611,f893(x100611,a878),a878),f339(x100611)),x100613))),x100614)),x100615)),x100616),x100613)
% 198.24/198.42 [10062]P24(f337(f337(f339(x100622),x100624),x100626))+~P24(f337(f337(f339(x100622),x100625),x100626))+E(f337(f317(x100621,x100622,f337(f337(f7(x100621,x100622,x100622),f337(f337(f7(x100621,x100622,f893(x100622,x100622)),f337(f337(f8(a878,f893(x100622,f893(x100622,x100622)),x100621),f99(x100622)),f337(f337(f7(x100621,f893(x100621,a878),a878),f339(x100621)),x100623))),x100624)),x100625)),x100626),f337(f80(f893(x100621,a878)),x100623))
% 198.24/198.42 [10063]~P24(f337(f337(f339(x100632),x100634),x100636))+~P24(f337(f337(f339(x100632),x100635),x100636))+E(f337(f317(x100631,x100632,f337(f337(f7(x100631,x100632,x100632),f337(f337(f7(x100631,x100632,f893(x100632,x100632)),f337(f337(f8(a878,f893(x100632,f893(x100632,x100632)),x100631),f99(x100632)),f337(f337(f7(x100631,f893(x100631,a878),a878),f339(x100631)),x100633))),x100634)),x100635)),x100636),f260(f893(x100631,a878)))
% 198.24/198.42 [10194]P20(x101941,x101942,f337(f337(f315(f882(x101941)),f337(f337(f337(f93(x101941),f337(x101943,x101944)),f337(a28,x101944)),f337(x101945,x101944))),f197(f893(f882(x101941),a878))))+~P24(f337(f337(f339(a881),x101944),x101946))+~P20(x101941,f337(f337(f113(f893(f882(x101941),a878)),x101942),f337(f316(a881,f882(x101941),f337(f337(f18(a881,f893(x101941,f893(a879,a878)),f882(x101941)),f337(f337(f18(a881,a880,f893(f893(x101941,f893(a879,a878)),f882(x101941))),f337(f337(f8(f893(x101941,f893(a879,a878)),f893(a880,f893(f893(x101941,f893(a879,a878)),f882(x101941))),a881),f93(x101941)),x101943)),a28)),x101945)),x101946)),f337(f316(a881,f882(x101941),f337(f337(f18(a881,f893(x101941,f893(a879,a878)),f882(x101941)),f337(f337(f18(a881,a880,f893(f893(x101941,f893(a879,a878)),f882(x101941))),f337(f337(f8(f893(x101941,f893(a879,a878)),f893(a880,f893(f893(x101941,f893(a879,a878)),f882(x101941))),a881),f93(x101941)),x101943)),f337(f337(f8(f887(a880),a880,a881),f248(a880)),a26))),x101945)),x101946))
% 198.24/198.42 [8659]E(x86591,x86592)+~P53(x86594,x86595,x86593,x86596,x86597)+~E(f337(x86593,x86591),f337(x86593,x86592))
% 198.24/198.42 [7064]E(f337(f246(f887(x70641),x70642,f210(x70641),x70643),f337(x70644,x70645)),f337(f209(x70641),x70646))+~E(f337(x70644,x70645),f337(f209(x70642),x70647))+~E(f337(x70643,x70647),f337(f209(x70641),x70646))
% 198.24/198.42 [8686]~P4(x86866,x86865,x86867,x86864,x86861)+E(f337(f337(x86861,x86862),x86863),x86864)+P24(f337(f62(x86865),x86863))
% 198.24/198.42 [9519]P44(x95191,x95192,x95193,x95194,x95195,f337(f337(x95193,x95196),x95197))+~E(f337(f337(x95193,x95196),x95197),x95194)+~E(x95195,f197(f893(x95191,a878)))
% 198.24/198.42 [9696]~P24(f337(x96966,x96963))+~P24(f337(f337(f339(f892(x96962,x96962)),f337(f337(f272(x96962,x96962),x96964),x96965)),f337(x96967,x96963)))+P24(f337(f337(f339(f892(f892(x96961,x96962),f892(x96961,x96962))),f337(f337(f272(f892(x96961,x96962),f892(x96961,x96962)),f337(f337(f272(x96961,x96962),x96963),x96964)),f337(f337(f272(x96961,x96962),x96963),x96965))),f289(x96961,x96962,x96966,x96967)))
% 198.24/198.42 [10115]~P44(x101152,x101157,x101153,x101156,x101151,f337(f337(x101153,x101155),x101154))+E(f337(f337(x101153,f633(x101154,x101155,x101151,x101156,x101153,x101157,x101152)),f647(x101154,x101155,x101151,x101156,x101153,x101157,x101152)),f337(f337(x101153,x101155),x101154))+E(x101151,f197(f893(x101152,a878)))
% 198.24/198.42 [10116]~P44(x101167,x101166,x101161,x101164,x101165,f337(f337(x101161,x101162),x101163))+E(f337(f337(x101161,f633(x101163,x101162,x101165,x101164,x101161,x101166,x101167)),f647(x101163,x101162,x101165,x101164,x101161,x101166,x101167)),f337(f337(x101161,x101162),x101163))+E(f337(f337(x101161,x101162),x101163),x101164)
% 198.24/198.42 [9210]~P36(x92101,x92102,x92103,x92105,x92107)+P36(x92101,x92102,x92103,f337(f337(f153(x92101),x92104),x92105),f337(f337(f153(x92102),x92106),x92107))+~P24(f337(f337(x92103,x92104),x92106))
% 198.24/198.42 [9228]P36(x92281,x92282,x92283,x92284,x92285)+~P36(x92281,x92282,x92283,f337(f337(f136(x92281),x92286),x92284),f337(f337(f136(x92282),x92287),x92285))+~E(f337(f198(f885(x92281)),x92286),f337(f198(f885(x92282)),x92287))
% 198.24/198.42 [9229]P36(x92291,x92292,x92293,x92294,x92295)+~P36(x92291,x92292,x92293,f337(f337(f136(x92291),x92294),x92296),f337(f337(f136(x92292),x92295),x92297))+~E(f337(f198(f885(x92291)),x92294),f337(f198(f885(x92292)),x92295))
% 198.24/198.42 [9425]~P36(x94251,x94252,x94253,x94255,x94257)+~P36(x94251,x94252,x94253,x94254,x94256)+P36(x94251,x94252,x94253,f337(f337(f136(x94251),x94254),x94255),f337(f337(f136(x94252),x94256),x94257))
% 198.24/198.42 [9769]~P24(f337(f67(x97691,x97694,x97695,x97696,x97693),x97697))+P24(f337(f67(x97691,x97694,x97695,x97696,f337(f337(f315(x97691),x97692),x97693)),f337(f337(x97695,x97692),x97697)))+P24(f337(f337(f339(x97691),x97692),x97693))
% 198.24/198.42 [9899]~P21(x98993,x98991,x98994,f260(f893(x98993,a878)))+E(f337(f337(f181(x98991,x98992),f337(f337(f156(f892(x98993,x98992),f892(x98991,x98992)),f337(f276(x98993,x98992,f892(x98991,x98992)),f337(f337(f8(x98991,f893(x98992,f892(x98991,x98992)),x98993),f272(x98991,x98992)),x98994))),x98995)),f337(x98994,x98996)),f337(f209(x98992),x98997))+~E(f337(f337(f181(x98993,x98992),x98995),x98996),f337(f209(x98992),x98997))
% 198.24/198.42 [10138]~P44(x101382,x101387,x101386,x101385,x101381,f337(f337(x101386,x101384),x101383))+E(x101381,f197(f893(x101382,a878)))+P24(f337(f337(f339(x101382),f633(x101383,x101384,x101381,x101385,x101386,x101387,x101382)),x101381))
% 198.24/198.42 [10139]~P44(x101395,x101397,x101391,x101394,x101396,f337(f337(x101391,x101392),x101393))+E(f337(f337(x101391,x101392),x101393),x101394)+P24(f337(f337(f339(x101395),f633(x101393,x101392,x101396,x101394,x101391,x101397,x101395)),x101396))
% 198.24/198.42 [6852]~E(x68525,x68527)+~E(x68526,x68524)+E(f337(f337(f337(f337(f73(x68521,f887(x68522)),x68523),x68524),f337(f209(x68522),x68525)),x68526),f337(f209(x68522),x68527))
% 198.24/198.42 [6979]E(x69791,x69792)+~E(f337(x69795,x69791),f337(f209(x69794),x69797))+E(f337(f337(f337(f337(f73(x69793,f887(x69794)),x69795),x69792),f337(f209(x69794),x69796)),x69791),f337(f209(x69794),x69797))
% 198.24/198.42 [7701]E(x77011,x77012)+~E(x77013,x77014)+~E(f337(f337(f337(f337(f73(x77015,f887(x77016)),x77017),x77014),f337(f209(x77016),x77011)),x77013),f337(f209(x77016),x77012))
% 198.24/198.42 [7767]E(x77671,x77672)+E(f337(x77673,x77674),f337(f209(x77675),x77671))+~E(f337(f337(f337(f337(f73(x77676,f887(x77675)),x77673),x77677),f337(f209(x77675),x77672)),x77674),f337(f209(x77675),x77671))
% 198.24/198.42 [7768]E(x77681,x77682)+E(f337(x77683,x77681),f337(f209(x77684),x77685))+~E(f337(f337(f337(f337(f73(x77686,f887(x77684)),x77683),x77682),f337(f209(x77684),x77687)),x77681),f337(f209(x77684),x77685))
% 198.24/198.42 [8905]~P17(x89054,x89055,x89056,x89057,x89051)+~P24(f337(f62(x89055),x89053))+E(f337(f337(x89051,x89052),x89053),f337(f337(f337(f66(x89054,x89055,x89056),x89052),x89057),x89053))
% 198.24/198.42 [8906]~P4(x89064,x89065,x89066,x89067,x89061)+~P24(f337(f62(x89065),x89063))+E(f337(f337(x89061,x89062),x89063),f337(f337(f337(f66(x89064,x89065,x89066),x89062),x89067),x89063))
% 198.24/198.42 [9484]~P20(x94841,x94842,f337(f337(f315(f882(x94841)),f337(f337(f337(f93(x94841),x94843),x94844),x94847)),f197(f893(f882(x94841),a878))))+P20(x94841,x94842,f337(f337(f315(f882(x94841)),f337(f337(f337(f93(x94841),x94843),f33(x94844,x94845)),x94846)),f197(f893(f882(x94841),a878))))+~P20(x94841,x94842,f337(f337(f315(f882(x94841)),f337(f337(f337(f93(x94841),x94847),x94845),x94846)),f197(f893(f882(x94841),a878))))
% 198.24/198.42 [9669]~P19(x96693,x96694,x96695,x96697,x96696,x96691)+~P24(f337(f62(x96694),x96692))+E(f337(x96691,x96692),f337(f337(f337(f66(x96693,x96694,x96695),x96696),x96697),x96692))
% 198.24/198.42 [9826]P44(x98261,x98262,x98263,x98264,x98265,f337(f337(x98263,x98266),x98267))+~P44(x98261,x98262,x98263,x98264,f337(f337(f22(f893(x98261,a878)),x98265),f337(f337(f315(x98261),x98266),f197(f893(x98261,a878)))),x98267)+~P24(f337(f337(f339(x98261),x98266),x98265))
% 198.24/198.42 [10091]~P20(x100911,x100912,f337(f337(f315(f882(x100911)),f337(f337(f337(f93(x100911),f95(x100911,x100913,x100914)),x100915),x100917)),f197(f893(f882(x100911),a878))))+P20(x100911,x100912,f337(f337(f315(f882(x100911)),f337(f337(f337(f93(x100911),x100913),f30(x100914,x100915,x100916)),x100917)),f197(f893(f882(x100911),a878))))+~P20(x100911,x100912,f337(f337(f315(f882(x100911)),f337(f337(f337(f93(x100911),f95(x100911,x100913,f337(f74(a878,a878,a879,a332),x100914))),x100916),x100917)),f197(f893(f882(x100911),a878))))
% 198.24/198.42 [10164]~P44(x101642,x101643,x101644,x101645,x101641,f337(f337(x101644,x101647),x101646))+P44(x101642,x101643,x101644,x101645,f337(f337(f22(f893(x101642,a878)),x101641),f337(f337(f315(x101642),f633(x101646,x101647,x101641,x101645,x101644,x101643,x101642)),f197(f893(x101642,a878)))),f647(x101646,x101647,x101641,x101645,x101644,x101643,x101642))+E(x101641,f197(f893(x101642,a878)))
% 198.24/198.42 [10165]~P44(x101655,x101656,x101651,x101654,x101657,f337(f337(x101651,x101652),x101653))+P44(x101655,x101656,x101651,x101654,f337(f337(f22(f893(x101655,a878)),x101657),f337(f337(f315(x101655),f633(x101653,x101652,x101657,x101654,x101651,x101656,x101655)),f197(f893(x101655,a878)))),f647(x101653,x101652,x101657,x101654,x101651,x101656,x101655))+E(f337(f337(x101651,x101652),x101653),x101654)
% 198.24/198.42 [9217]E(f190(x92171,x92172,x92173,x92174,f337(f337(f161(x92172,x92175),x92176),x92177)),f190(x92171,x92172,x92173,x92174,x92175))+~P24(f337(f337(f252(a884),x92176),f337(f198(f885(x92172)),x92175)))+~P24(f337(f337(f251(a884),f337(f198(f885(x92171)),x92174)),x92176))
% 198.24/198.42 [9506]P24(f337(f337(f251(f893(f892(x95061,x95062),a878)),f337(f337(f294(x95061,x95063,x95062),x95064),x95065)),f337(f337(f294(x95061,x95063,x95062),x95066),x95067)))+~P24(f337(f337(f251(f893(f892(x95063,x95062),a878)),x95065),x95067))+~P24(f337(f337(f251(f893(f892(x95061,x95063),a878)),x95064),x95066))
% 198.24/198.42 [9837]~P24(f337(f337(f339(x98371),x98376),x98375))+P24(f337(f67(x98371,x98372,x98373,x98374,x98375),f337(f337(x98373,x98376),x98377)))+~P24(f337(f67(x98371,x98372,x98373,x98374,f337(f337(f22(f893(x98371,a878)),x98375),f337(f337(f315(x98371),x98376),f197(f893(x98371,a878))))),x98377))
% 198.24/198.42 [10222]~P135(x102221)+~P21(f892(x102222,x102223),x102221,f337(f276(x102222,x102223,x102221),f337(f337(f7(x102222,f893(x102223,x102221),f893(x102223,x102221)),f337(f337(f8(f893(x102221,x102221),f893(f893(x102223,x102221),f893(x102223,x102221)),x102222),f8(x102221,x102221,x102223)),f337(f337(f8(x102221,f893(x102221,x102221),x102222),f82(x102221)),x102224))),x102225)),f337(f337(f274(x102222,x102223),x102226),f337(f16(f893(x102223,a878),x102222),x102227)))+E(f337(f337(f6(x102221,x102221),f34(x102221)),f337(f257(x102221),f337(f337(f8(f893(x102222,a878),a878,x102221),f88(x102222)),f337(f337(f8(f893(x102222,f893(x102223,a878)),f893(x102222,a878),x102221),f337(f8(f893(x102223,a878),a878,x102222),f88(x102223))),f337(f337(f7(x102221,f893(x102222,f893(x102223,a878)),f893(x102222,f893(x102223,a878))),f337(f337(f8(f893(x102222,f893(f893(x102223,a878),f893(x102223,a878))),f893(f893(x102222,f893(x102223,a878)),f893(x102222,f893(x102223,a878))),x102221),f18(x102222,f893(x102223,a878),f893(x102223,a878))),f337(f337(f8(f893(x102222,f893(x102223,f893(a878,a878))),f893(x102222,f893(f893(x102223,a878),f893(x102223,a878))),x102221),f337(f8(f893(x102223,f893(a878,a878)),f893(f893(x102223,a878),f893(x102223,a878)),x102222),f18(x102223,a878,a878))),f337(f337(f8(f893(x102222,f893(x102223,a878)),f893(x102222,f893(x102223,f893(a878,a878))),x102221),f337(f8(f893(x102223,a878),f893(x102223,f893(a878,a878)),x102222),f337(f8(a878,f893(a878,a878),x102223),a335))),f337(f337(f7(x102221,f893(x102222,f893(x102223,x102221)),f893(x102222,f893(x102223,a878))),f337(f337(f8(f893(f893(x102223,x102221),f893(x102223,a878)),f893(f893(x102222,f893(x102223,x102221)),f893(x102222,f893(x102223,a878))),x102221),f8(f893(x102223,x102221),f893(x102223,a878),x102222)),f337(f337(f8(f893(x102221,a878),f893(f893(x102223,x102221),f893(x102223,a878)),x102221),f8(x102221,a878,x102223)),a334))),f337(f337(f7(x102222,f893(x102223,x102221),f893(x102223,x102221)),f337(f337(f8(f893(x102221,x102221),f893(f893(x102223,x102221),f893(x102223,x102221)),x102222),f8(x102221,x102221,x102223)),f337(f337(f8(x102221,f893(x102221,x102221),x102222),f82(x102221)),x102224))),x102225)))))),f337(f337(f7(x102222,f893(x102223,a878),f893(x102223,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x102223,a878),f893(x102223,a878)),x102222),f8(a878,a878,x102223)),f337(f337(f8(a878,f893(a878,a878),x102222),a335),f337(f337(f7(x102222,f893(x102222,a878),a878),f339(x102222)),x102226)))),f337(f337(f7(x102223,f893(x102223,a878),a878),f339(x102223)),x102227))))))),f337(f337(f82(x102221),f337(f337(f6(x102222,x102221),x102224),x102226)),f337(f337(f6(x102223,x102221),x102225),x102227)))
% 198.24/198.42 [9667]~P24(f337(f337(x96674,x96676),x96678))+~P24(f337(f337(x96675,x96678),x96677))+P24(f337(f337(f273(x96671,x96672,x96673,x96674,x96675),x96676),x96677))
% 198.24/198.42 [9275]~P15(x92758,x92751,x92753,x92755)+~P24(f337(f62(x92758),x92756))+E(f337(f74(x92751,x92751,x92752,f337(x92753,x92754)),f337(f74(x92751,x92751,x92752,f337(x92755,x92756)),x92757)),f337(f74(x92751,x92751,x92752,f337(x92755,x92756)),f337(f74(x92751,x92751,x92752,f337(x92753,x92754)),x92757)))
% 198.24/198.42 [9657]~P18(x96577,x96572,x96575,x96578,x96576,x96571)+~P24(f337(f62(x96572),x96574))+E(f337(x96571,f337(f337(f315(x96572),x96573),x96574)),f337(f337(x96575,f337(x96576,x96573)),f337(x96571,x96574)))
% 198.24/198.42 [9778]~P21(x97782,x97784,x97786,x97788)+~P21(x97781,x97783,x97785,x97787)+P21(f892(x97781,x97782),f892(x97783,x97784),f277(x97781,x97783,x97782,x97784,x97785,x97786),f337(f337(f274(x97781,x97782),x97787),f337(f16(f893(x97782,a878),x97781),x97788)))
% 198.24/198.42 [9451]P24(f337(f337(f339(f892(x94511,x94512)),f337(f337(f272(x94511,x94512),x94513),x94514)),f337(f337(f294(x94511,x94515,x94512),x94516),x94517)))+~P24(f337(f337(f339(f892(x94511,x94515)),f337(f337(f272(x94511,x94515),x94513),x94518)),x94516))+~P24(f337(f337(f339(f892(x94515,x94512)),f337(f337(f272(x94515,x94512),x94518),x94514)),x94517))
% 198.24/198.42 [9638]~P24(f337(f337(f251(f893(f892(x96383,x96382),a878)),x96385),f337(f337(f274(x96383,x96382),x96388),f337(f16(f893(x96382,a878),x96383),x96387))))+~P24(f337(f337(f251(f893(f892(x96381,x96383),a878)),x96384),f337(f337(f274(x96381,x96383),x96386),f337(f16(f893(x96383,a878),x96381),x96388))))+P24(f337(f337(f251(f893(f892(x96381,x96382),a878)),f337(f337(f294(x96381,x96383,x96382),x96384),x96385)),f337(f337(f274(x96381,x96382),x96386),f337(f16(f893(x96382,a878),x96381),x96387))))
% 198.24/198.42 [9691]~E(x96913,x96915)+P24(f337(f337(f339(f892(f892(x96911,x96912),f892(x96911,x96912))),f337(f337(f272(f892(x96911,x96912),f892(x96911,x96912)),f337(f337(f272(x96911,x96912),x96913),x96914)),f337(f337(f272(x96911,x96912),x96915),x96916))),f330(x96911,x96912,x96917,x96918)))+~P24(f337(f337(f339(f892(x96912,x96912)),f337(f337(f272(x96912,x96912),x96914),x96916)),x96918))
% 198.24/198.42 [9801]E(x98011,x98012)+~P24(f337(f337(f339(f892(f892(x98013,x98015),f892(x98013,x98015))),f337(f337(f272(f892(x98013,x98015),f892(x98013,x98015)),f337(f337(f272(x98013,x98015),x98011),x98016)),f337(f337(f272(x98013,x98015),x98012),x98017))),f330(x98013,x98015,x98014,x98018)))+P24(f337(f337(f339(f892(x98013,x98013)),f337(f337(f272(x98013,x98013),x98011),x98012)),x98014))
% 198.24/198.42 [9818]~P24(f337(f337(f339(f892(f892(x98181,x98185),f892(x98181,x98185))),f337(f337(f272(f892(x98181,x98185),f892(x98181,x98185)),f337(f337(f272(x98181,x98185),x98182),x98186)),f337(f337(f272(x98181,x98185),x98183),x98187))),f330(x98181,x98185,x98184,x98188)))+P24(f337(f337(f339(f892(x98181,x98181)),f337(f337(f272(x98181,x98181),x98182),x98183)),x98184))+P24(f337(f337(f339(f892(x98185,x98185)),f337(f337(f272(x98185,x98185),x98186),x98187)),x98188))
% 198.24/198.42 [9722]~P19(x97227,x97225,x97221,x97228,x97222,x97224)+~P24(f337(f62(x97225),x97226))+E(f337(f337(x97221,f337(x97222,x97223)),f337(x97224,f337(f337(f22(f893(x97225,a878)),x97226),f337(f337(f315(x97225),x97223),f197(f893(x97225,a878)))))),f337(x97224,f337(f337(f315(x97225),x97223),x97226)))
% 198.24/198.42 [9236]~P24(f337(f337(f337(x92365,x92368),x92366),x92367))+~P24(f337(f337(f339(x92361),x92368),x92364))+P24(f337(f337(f337(f337(f42(x92361,f893(x92362,f893(x92363,a878))),x92364),x92365),x92366),x92367))
% 198.24/198.42 [9436]P24(f337(f337(f337(x94361,x94362),x94363),x94364))+~P24(f337(f337(f339(x94365),x94362),x94366))+~P24(f337(f337(f337(f337(f43(x94365,f893(x94367,f893(x94368,a878))),x94366),x94361),x94363),x94364))
% 198.24/198.42 [9631]~P17(x96313,x96312,x96314,x96318,x96311)+~P24(f337(f62(x96312),x96317))+E(f337(f337(x96311,f337(f337(f18(x96312,x96313,x96313),f337(f337(f8(x96313,f893(x96313,x96313),x96312),x96314),x96315)),x96316)),x96317),f337(f337(x96314,f337(f337(x96311,x96315),x96317)),f337(f337(x96311,x96316),x96317)))
% 198.24/198.42 [9907]~E(f337(f316(x99072,x99074,x99076),x99078),x990710)+~E(f337(f316(x99071,x99073,x99075),x99077),x99079)+E(f337(f316(f892(x99071,x99072),f892(x99073,x99074),f277(x99071,x99073,x99072,x99074,x99075,x99076)),f337(f337(f274(x99071,x99072),x99077),f337(f16(f893(x99072,a878),x99071),x99078))),f337(f337(f274(x99073,x99074),x99079),f337(f16(f893(x99074,a878),x99073),x990710)))
% 198.24/198.42 [6563]~P1(a5000)+~P2(a5000)+~P24(f337(a25,x65631))+P20(a879,f197(f893(f882(a879),a878)),f337(f337(f315(f882(a879)),f337(a94,x65631)),f197(f893(f882(a879),a878))))
% 198.24/198.42 [4890]~P105(x48902)+~P30(x48902,x48901)+P30(x48902,f117(x48902,x48901))+E(x48901,f116(x48902))
% 198.24/198.42 [4891]~P105(x48912)+~P30(x48912,x48911)+P30(x48912,f721(x48911,x48912))+E(x48911,f116(x48912))
% 198.24/198.42 [5126]~P28(x51262)+E(f10(x51262,x51261),f41(x51262,x51261))+E(x51261,f197(f893(x51262,a878)))+~P24(f337(f62(x51262),x51261))
% 198.24/198.42 [5127]~P28(x51272)+E(f13(x51272,x51271),f40(x51272,x51271))+E(x51271,f197(f893(x51272,a878)))+~P24(f337(f62(x51272),x51271))
% 198.24/198.42 [5289]~P105(x52892)+~P30(x52892,x52891)+E(x52891,f116(x52892))+E(f337(f337(f153(x52892),f754(x52891,x52892)),f721(x52891,x52892)),x52891)
% 198.24/198.42 [6086]~P64(x60862)+E(x60861,f197(f893(x60862,a878)))+P24(f337(f337(f251(x60862),f10(x60862,x60861)),f13(x60862,x60861)))+~P24(f337(f62(x60862),x60861))
% 198.24/198.42 [6098]~P40(x60982)+~P40(x60981)+E(x60981,x60982)+~E(f337(f316(a1,a884,a107),x60981),f337(f316(a1,a884,a107),x60982))
% 198.24/198.42 [9094]~P116(x90941)+~P24(f337(f337(f339(x90941),x90942),f112(x90941)))+P24(f337(f337(f252(x90941),f337(f337(f81(x90941),f337(f337(f81(x90941),f79(x90941)),x90942)),x90942)),f2(x90941)))+~P24(f337(f337(f252(x90941),x90942),f2(x90941)))
% 198.24/198.42 [9325]~P116(x93251)+~P24(f337(f337(f339(x93251),x93252),f112(x93251)))+~P24(f337(f337(f252(x93251),f337(f337(f81(x93251),f337(f337(f81(x93251),f79(x93251)),x93252)),x93252)),f2(x93251)))+P24(f337(f337(f252(x93251),x93252),f2(x93251)))
% 198.24/198.42 [4946]~P135(x49462)+~P113(x49462)+E(x49461,f2(a884))+E(f337(f337(f262(x49462),f2(x49462)),x49461),f2(x49462))
% 198.24/198.42 [4950]~P135(x49501)+~P113(x49501)+~E(x49502,f2(a884))+E(f337(f337(f262(x49501),f2(x49501)),x49502),f79(x49501))
% 198.24/198.42 [5113]~P137(x51132)+E(x51131,f79(x51132))+E(x51131,f337(f80(x51132),f79(x51132)))+~E(f337(f337(f82(x51132),x51131),x51131),f79(x51132))
% 198.24/198.42 [5372]~P89(x53722)+E(x53721,f2(x53722))+E(f83(x53722,x53721),f337(f80(x53722),f79(x53722)))+P24(f337(f337(f252(x53722),f2(x53722)),x53721))
% 198.24/198.42 [5607]~P89(x56072)+E(f83(x56072,x56071),f79(x56072))+E(x56071,f2(x56072))+~P24(f337(f337(f252(x56072),f2(x56072)),x56071))
% 198.24/198.42 [5616]E(x56161,x56162)+~E(f337(f106(a884),x56161),f337(f106(a884),x56162))+P24(f337(a202,f337(f106(a1),x56162)))+P24(f337(a202,f337(f106(a1),x56161)))
% 198.24/198.42 [5666]~P92(x56661)+~E(x56662,f2(x56661))+E(f337(f337(f81(x56661),x56662),x56662),f2(x56661))+~P24(f337(f337(f339(x56661),x56662),f112(x56661)))
% 198.24/198.42 [5704]E(x57041,f2(a1))+~E(f337(f337(f39(a1),x57042),x57041),f2(a1))+P24(f337(f337(f252(a1),x57041),x57042))+P24(f337(f337(f252(a1),x57042),x57041))
% 198.24/198.42 [5735]E(x57351,f2(a1))+~E(f337(f337(f39(a1),x57352),x57351),f2(a1))+P24(f337(f337(f251(a1),x57352),f2(a1)))+P24(f337(f337(f252(a1),x57352),x57351))
% 198.24/198.42 [5769]E(x57691,f2(a1))+~E(f337(f337(f39(a1),x57692),x57691),f2(a1))+P24(f337(f337(f251(a1),f2(a1)),x57692))+P24(f337(f337(f252(a1),x57691),x57692))
% 198.24/198.42 [5805]~P92(x58052)+E(x58051,f2(x58052))+~E(f337(f337(f81(x58052),x58051),x58051),f2(x58052))+~P24(f337(f337(f339(x58052),x58051),f112(x58052)))
% 198.24/198.42 [5866]E(f337(f106(a884),x58661),f337(f106(a884),x58662))+~E(f337(f106(a1),x58662),f2(a1))+P24(f337(a202,f337(f106(a1),x58662)))+~P24(f337(a202,f337(f106(a1),x58661)))
% 198.24/198.42 [5893]~E(f337(f106(a884),x58932),f337(f106(a884),x58931))+E(f337(f106(a1),x58931),f2(a1))+P24(f337(a202,f337(f106(a1),x58931)))+~P24(f337(a202,f337(f106(a1),x58932)))
% 198.24/198.42 [5902]~P105(x59022)+E(x59021,f197(f893(x59022,a878)))+~P24(f337(f62(x59022),x59021))+P24(f337(f337(f339(x59022),f14(x59022,x59021)),x59021))
% 198.24/198.42 [5903]~P105(x59032)+E(x59031,f197(f893(x59032,a878)))+~P24(f337(f62(x59032),x59031))+P24(f337(f337(f339(x59032),f15(x59032,x59031)),x59031))
% 198.24/198.42 [6066]~P116(x60661)+~P93(x60661)+P24(f337(f337(f251(x60661),f2(x60661)),f337(f106(x60661),x60662)))+~P24(f337(f337(f251(a1),a84),x60662))
% 198.24/198.42 [6067]~P116(x60671)+~P93(x60671)+P24(f337(f337(f252(x60671),f2(x60671)),f337(f106(x60671),x60672)))+~P24(f337(f337(f252(a1),a84),x60672))
% 198.24/198.42 [6085]~P116(x60851)+~P93(x60851)+E(f337(f76(x60851),f337(f106(x60851),x60852)),f337(f106(x60851),x60852))+P24(f337(f337(f252(x60851),f337(f106(x60851),x60852)),f2(x60851)))
% 198.24/198.42 [6125]E(x61251,x61252)+~E(f337(a107,x61251),f337(a107,x61252))+~P24(f337(f337(f251(a1),f2(a1)),x61252))+~P24(f337(f337(f251(a1),f2(a1)),x61251))
% 198.24/198.42 [6323]~P93(x63232)+~P116(x63232)+~P24(f337(f337(f251(x63232),f2(x63232)),f337(f106(x63232),x63231)))+P24(f337(f337(f251(a1),a84),x63231))
% 198.24/198.42 [6324]~P93(x63242)+~P116(x63242)+~P24(f337(f337(f252(x63242),f2(x63242)),f337(f106(x63242),x63241)))+P24(f337(f337(f252(a1),a84),x63241))
% 198.24/198.42 [6329]~P116(x63291)+~P93(x63291)+P24(f337(f337(f251(x63291),f337(f106(x63291),x63292)),f2(x63291)))+~P24(f337(f337(f251(a1),x63292),a84))
% 198.24/198.42 [6330]~P116(x63301)+~P93(x63301)+P24(f337(f337(f252(x63301),f337(f106(x63301),x63302)),f2(x63301)))+~P24(f337(f337(f252(a1),x63302),a84))
% 198.24/198.42 [6641]~P93(x66412)+~P116(x66412)+~P24(f337(f337(f251(x66412),f337(f106(x66412),x66411)),f2(x66412)))+P24(f337(f337(f251(a1),x66411),a84))
% 198.24/198.42 [6642]~P93(x66422)+~P116(x66422)+~P24(f337(f337(f252(x66422),f337(f106(x66422),x66421)),f2(x66422)))+P24(f337(f337(f252(a1),x66421),a84))
% 198.24/198.42 [6732]~P116(x67321)+~P93(x67321)+E(f337(f76(x67321),f337(f106(x67321),x67322)),f337(f80(x67321),f337(f106(x67321),x67322)))+~P24(f337(f337(f252(x67321),f337(f106(x67321),x67322)),f2(x67321)))
% 198.24/198.42 [6750]E(f337(f106(a884),x67501),f337(f106(a884),x67502))+~E(f337(f106(a1),x67502),f2(a1))+~P24(f337(f337(f251(a1),f337(f106(a1),x67501)),f2(a1)))+~P24(f337(a202,f337(f106(a1),x67501)))
% 198.24/198.42 [7632]~P105(x76322)+E(x76321,f197(f893(x76322,a878)))+~P24(f337(f62(x76322),x76321))+P24(f337(f337(f251(x76322),f12(x76322,f249(x76322),x76321)),f11(x76322,f250(x76322),x76321)))
% 198.24/198.42 [7947]~P29(x79471)+~P40(x79472)+P24(f337(f337(f339(a1),x79471),x79472))+~P24(f337(f337(f339(a884),f337(a107,x79471)),f337(f316(a1,a884,a107),x79472)))
% 198.24/198.42 [8214]~P57(x82142)+P24(f337(x82141,f210(x82142)))+~P24(f337(f58(f887(x82142)),x82141))+P24(f337(f58(x82142),f337(f337(f8(f887(x82142),a878,x82142),x82141),f209(x82142))))
% 198.24/198.42 [8665]~P57(x86651)+~P24(f337(x86652,f210(x86651)))+P24(f337(f59(f887(x86651)),x86652))+~P24(f337(f59(x86651),f337(f337(f8(f887(x86651),a878,x86651),x86652),f209(x86651))))
% 198.24/198.42 [5899]~P138(x58992)+E(x58991,f2(a1))+E(f337(f80(x58992),f337(f105(x58992),f337(f80(a1),x58991))),f337(f105(x58992),x58991))+~P24(f337(f337(f252(a1),x58991),f2(a1)))
% 198.24/198.42 [5972]~P92(x59721)+~P93(x59721)+~P32(x59721,f337(f106(x59721),x59722))+P32(x59721,f337(f106(x59721),f337(f337(f81(a1),x59722),x59722)))
% 198.24/198.42 [6312]~P76(x63122)+E(x63121,f197(f893(x63122,a878)))+E(f15(x63122,f337(f316(x63122,x63122,f80(x63122)),x63121)),f337(f80(x63122),f14(x63122,x63121)))+~P24(f337(f62(x63122),x63121))
% 198.24/198.42 [6313]~P76(x63132)+E(x63131,f197(f893(x63132,a878)))+E(f14(x63132,f337(f316(x63132,x63132,f80(x63132)),x63131)),f337(f80(x63132),f15(x63132,x63131)))+~P24(f337(f62(x63132),x63131))
% 198.24/198.42 [6344]~P92(x63441)+~P93(x63441)+P32(x63441,f337(f106(x63441),x63442))+~P32(x63441,f337(f106(x63441),f337(f337(f81(a1),x63442),x63442)))
% 198.24/198.42 [6433]E(x64331,f2(a1))+E(f337(a51,f50(f337(f80(a1),x64331),f337(f80(a1),x64332))),f46(x64331,x64332))+P24(f337(f337(f251(a1),f2(a1)),x64332))+~P24(f337(f337(f251(a1),f2(a1)),x64331))
% 198.24/198.42 [7454]~P1(a5000)+~P24(f337(a25,x74541))+P20(a879,x74542,f337(f337(f315(f882(a879)),f337(a94,x74541)),f197(f893(f882(a879),a878))))+P24(f337(f337(f339(a881),f382(x74541,x74542)),f187(a881,a880,a26)))
% 198.24/198.42 [8697]~P1(a5000)+~P24(f337(a25,x86972))+P20(a879,x86971,f337(f337(f315(f882(a879)),f337(a94,x86972)),f197(f893(f882(a879),a878))))+~P20(a879,x86971,f337(f337(f315(f882(a879)),f337(a94,f337(a28,f382(x86972,x86971)))),f197(f893(f882(a879),a878))))
% 198.24/198.42 [8711]~P40(x87112)+~P40(x87111)+P24(f337(f337(f252(f893(a884,a878)),f337(f316(a1,a884,a107),x87111)),f337(f316(a1,a884,a107),x87112)))+~P24(f337(f337(f252(f893(a1,a878)),x87111),x87112))
% 198.24/198.42 [8924]~E(f759(x89242,x89241),f760(x89242,x89241))+~P24(f337(f139(x89241),f761(x89242,x89241)))+~P24(f337(f139(f885(x89241)),x89242))+P24(f337(f139(x89241),f337(f144(f885(x89241),f885(x89241),f136(x89241),f116(x89241)),x89242)))
% 198.24/198.42 [9013]~P40(x90132)+~P40(x90131)+~P24(f337(f337(f251(f893(a884,a878)),f337(f316(a1,a884,a107),x90131)),f337(f316(a1,a884,a107),x90132)))+P24(f337(f337(f251(f893(a1,a878)),x90131),x90132))
% 198.24/198.42 [9014]~P40(x90142)+~P40(x90141)+~P24(f337(f337(f252(f893(a884,a878)),f337(f316(a1,a884,a107),x90141)),f337(f316(a1,a884,a107),x90142)))+P24(f337(f337(f252(f893(a1,a878)),x90141),x90142))
% 198.24/198.42 [9020]~E(f759(x90202,x90201),f760(x90202,x90201))+~P24(f337(f139(f885(x90201)),x90202))+P24(f337(f139(x90201),f337(f144(f885(x90201),f885(x90201),f136(x90201),f116(x90201)),x90202)))+P24(f337(f337(f339(f885(x90201)),f761(x90202,x90201)),f337(f175(f885(x90201)),x90202)))
% 198.24/198.42 [9062]~P24(f337(f139(x90621),f761(x90622,x90621)))+~P24(f337(f139(f885(x90621)),x90622))+P24(f337(f139(x90621),f337(f144(f885(x90621),f885(x90621),f136(x90621),f116(x90621)),x90622)))+P24(f337(f337(f339(f885(x90621)),f760(x90622,x90621)),f337(f175(f885(x90621)),x90622)))
% 198.24/198.42 [9063]~P24(f337(f139(x90631),f761(x90632,x90631)))+~P24(f337(f139(f885(x90631)),x90632))+P24(f337(f139(x90631),f337(f144(f885(x90631),f885(x90631),f136(x90631),f116(x90631)),x90632)))+P24(f337(f337(f339(f885(x90631)),f759(x90632,x90631)),f337(f175(f885(x90631)),x90632)))
% 198.24/198.42 [9139]~P24(f337(f139(f885(x91391)),x91392))+P24(f337(f139(x91391),f337(f144(f885(x91391),f885(x91391),f136(x91391),f116(x91391)),x91392)))+P24(f337(f337(f339(f885(x91391)),f760(x91392,x91391)),f337(f175(f885(x91391)),x91392)))+P24(f337(f337(f339(f885(x91391)),f761(x91392,x91391)),f337(f175(f885(x91391)),x91392)))
% 198.24/198.42 [9140]~P24(f337(f139(f885(x91401)),x91402))+P24(f337(f139(x91401),f337(f144(f885(x91401),f885(x91401),f136(x91401),f116(x91401)),x91402)))+P24(f337(f337(f339(f885(x91401)),f759(x91402,x91401)),f337(f175(f885(x91401)),x91402)))+P24(f337(f337(f339(f885(x91401)),f761(x91402,x91401)),f337(f175(f885(x91401)),x91402)))
% 198.24/198.42 [9154]~E(f337(f337(f104(f893(x91541,a878)),f337(f175(x91541),f760(x91542,x91541))),f337(f175(x91541),f759(x91542,x91541))),f197(f893(x91541,a878)))+~P24(f337(f139(x91541),f761(x91542,x91541)))+~P24(f337(f139(f885(x91541)),x91542))+P24(f337(f139(x91541),f337(f144(f885(x91541),f885(x91541),f136(x91541),f116(x91541)),x91542)))
% 198.24/198.42 [9213]~E(f337(f337(f104(f893(x92131,a878)),f337(f175(x92131),f760(x92132,x92131))),f337(f175(x92131),f759(x92132,x92131))),f197(f893(x92131,a878)))+~P24(f337(f139(f885(x92131)),x92132))+P24(f337(f139(x92131),f337(f144(f885(x92131),f885(x92131),f136(x92131),f116(x92131)),x92132)))+P24(f337(f337(f339(f885(x92131)),f761(x92132,x92131)),f337(f175(f885(x92131)),x92132)))
% 198.24/198.42 [9476]E(x94761,f2(a1))+E(x94762,f2(a1))+E(f337(f337(f87(a1,f892(a1,a1)),f337(f337(a230,x94762),x94761)),f337(f337(f18(a1,a1,f892(a1,a1)),f337(f337(f8(a1,f893(a1,f892(a1,a1)),a1),f272(a1,a1)),f337(f39(a1),x94762))),f337(f39(a1),x94761))),f228(x94762,x94761))+P24(f337(f337(f252(a1),x94761),f2(a1)))
% 198.24/198.42 [8275]~P93(x82752)+~P116(x82752)+~P24(f337(f337(f251(x82752),f337(f106(x82752),x82751)),f79(x82752)))+P24(f337(f337(f251(a1),x82751),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))
% 198.24/198.42 [8276]~P93(x82762)+~P116(x82762)+~P24(f337(f337(f252(x82762),f337(f106(x82762),x82761)),f79(x82762)))+P24(f337(f337(f252(a1),x82761),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))
% 198.24/198.42 [8539]~P116(x85391)+~P93(x85391)+P24(f337(f337(f251(x85391),f337(f106(x85391),x85392)),f79(x85391)))+~P24(f337(f337(f251(a1),x85392),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))
% 198.24/198.42 [8540]~P116(x85401)+~P93(x85401)+P24(f337(f337(f252(x85401),f337(f106(x85401),x85402)),f79(x85401)))+~P24(f337(f337(f252(a1),x85402),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))
% 198.24/198.42 [8736]~P93(x87362)+~P116(x87362)+~P24(f337(f337(f251(x87362),f79(x87362)),f337(f106(x87362),x87361)))+P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),x87361))
% 198.24/198.42 [8737]~P93(x87372)+~P116(x87372)+~P24(f337(f337(f252(x87372),f79(x87372)),f337(f106(x87372),x87371)))+P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),x87371))
% 198.24/198.42 [9100]~P116(x91001)+~P93(x91001)+P24(f337(f337(f251(x91001),f79(x91001)),f337(f106(x91001),x91002)))+~P24(f337(f337(f251(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),x91002))
% 198.24/198.42 [9101]~P116(x91011)+~P93(x91011)+P24(f337(f337(f252(x91011),f79(x91011)),f337(f106(x91011),x91012)))+~P24(f337(f337(f252(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),x91012))
% 198.24/198.42 [9603]~P137(x96032)+E(x96031,f79(x96032))+E(x96031,f337(f80(x96032),f79(x96032)))+~E(f337(f337(f262(x96032),x96031),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f79(x96032))
% 198.24/198.42 [9877]~P60(x98771)+~P93(x98771)+~P24(f337(f337(f252(x98771),f2(x98771)),x98772))+P24(f337(f337(f252(x98771),f2(x98771)),f337(f337(f295(x98771),x98772),f337(f106(x98771),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.24/198.42 [9937]~P60(x99371)+~P93(x99371)+P24(f337(f337(f252(x99371),f2(x99371)),x99372))+~P24(f337(f337(f252(x99371),f2(x99371)),f337(f337(f295(x99371),x99372),f337(f106(x99371),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.24/198.42 [10193]~P138(x101932)+E(x101931,f2(a1))+P24(f337(f337(f252(a1),x101931),f2(a1)))+E(f337(f337(f276(a1,a1,x101932),f337(f337(f7(a1,f893(a1,f893(x101932,x101932)),f893(a1,x101932)),f337(f337(f8(f893(f893(x101932,x101932),x101932),f893(f893(a1,f893(x101932,x101932)),f893(a1,x101932)),a1),f8(f893(x101932,x101932),x101932,a1)),f337(f337(f8(x101932,f893(f893(x101932,x101932),x101932),a1),f87(x101932,x101932)),f105(x101932)))),f337(f337(f7(a1,f893(x101932,x101932),f893(x101932,x101932)),f337(f337(f8(f893(x101932,f893(x101932,x101932)),f893(f893(x101932,x101932),f893(x101932,x101932)),a1),f18(x101932,x101932,x101932)),f337(f337(f7(a1,f893(x101932,x101932),f893(x101932,f893(x101932,x101932))),f337(f337(f8(f893(x101932,f893(x101932,x101932)),f893(f893(x101932,x101932),f893(x101932,f893(x101932,x101932))),a1),f8(x101932,f893(x101932,x101932),x101932)),f337(f337(f8(a878,f893(x101932,f893(x101932,x101932)),a1),f99(x101932)),f337(f337(f7(a1,a1,a878),a334),f2(a1))))),f337(f337(f18(x101932,x101932,x101932),f81(x101932)),f5(x101932))))),f337(f337(f7(x101932,x101932,x101932),f337(f337(f8(x101932,f893(x101932,x101932),x101932),f81(x101932)),f337(f337(f18(x101932,x101932,x101932),f81(x101932)),f5(x101932)))),f79(x101932))))),f46(x101931,f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f105(x101932),x101931))
% 198.24/198.42 [5284]~P57(x52843)+~P37(x52843,x52842,f56(x52843))+E(x52841,f768(x52842,x52843))+~P24(f337(x52842,x52841))
% 198.24/198.42 [5442]~P57(x54421)+P37(x54421,x54422,f56(x54421))+~E(f769(x54422,x54421,x54423),x54423)+~P24(f337(x54422,x54423))
% 198.24/198.42 [4917]~P92(x49173)+~P93(x49173)+E(x49171,x49172)+~E(f337(f106(x49173),x49171),f337(f106(x49173),x49172))
% 198.24/198.42 [6065]~P57(x60651)+P37(x60651,x60652,f56(x60651))+~P24(f337(x60652,x60653))+P24(f337(x60652,f769(x60652,x60651,x60653)))
% 198.24/198.42 [6075]~P24(f337(x60751,x60752))+~P24(f337(x60751,x60753))+~P24(f337(f337(f251(a884),x60753),f864(x60752,x60751)))+P24(f337(x60751,f2(a884)))
% 198.24/198.42 [6497]P145(x64972,x64971,x64973)+E(x64971,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f819(x64973,x64971,x64972)))+P24(f337(f337(f252(a1),x64971),f2(a1)))
% 198.24/198.42 [6498]P144(x64982,x64981,x64983)+E(x64981,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f824(x64983,x64981,x64982)))+P24(f337(f337(f252(a1),x64981),f2(a1)))
% 198.24/198.42 [6621]P144(x66211,x66212,x66213)+~P24(f337(x66211,x66213))+P24(f337(f337(f251(a1),f2(a1)),f824(x66213,x66212,x66211)))+P24(f337(f337(f252(a1),x66212),f2(a1)))
% 198.24/198.42 [6647]P145(x66471,x66472,x66473)+P24(f337(f337(f251(a1),f2(a1)),f819(x66473,x66472,x66471)))+~P24(f337(x66471,f2(a1)))+P24(f337(f337(f252(a1),x66472),f2(a1)))
% 198.24/198.42 [6675]P145(x66752,x66751,x66753)+E(x66751,f2(a1))+~P24(f337(x66752,f820(x66753,x66751,x66752)))+P24(f337(f337(f252(a1),x66751),f2(a1)))
% 198.24/198.42 [6676]P144(x66762,x66761,x66763)+E(x66761,f2(a1))+~P24(f337(x66762,f824(x66763,x66761,x66762)))+P24(f337(f337(f252(a1),x66761),f2(a1)))
% 198.24/198.42 [6775]~P105(x67751)+~P28(x67751)+~P24(f337(f337(f252(x67751),x67752),f40(x67751,x67753)))+P24(f337(f337(f252(x67751),x67752),f605(x67753,x67752,x67751)))
% 198.24/198.42 [6784]P144(x67841,x67842,x67843)+~P24(f337(x67841,x67843))+~P24(f337(x67841,f824(x67843,x67842,x67841)))+P24(f337(f337(f252(a1),x67842),f2(a1)))
% 198.24/198.42 [6816]P145(x68161,x68162,x68163)+~P24(f337(x68161,f820(x68163,x68162,x68161)))+~P24(f337(x68161,f2(a1)))+P24(f337(f337(f252(a1),x68162),f2(a1)))
% 198.24/198.42 [7067]P145(x70672,x70671,x70673)+E(x70671,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f819(x70673,x70671,x70672)))+P24(f337(f337(f252(a1),x70671),f818(x70673,x70671,x70672)))
% 198.24/198.42 [7068]P144(x70682,x70681,x70683)+E(x70681,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f824(x70683,x70681,x70682)))+P24(f337(f337(f252(a1),x70681),f823(x70683,x70681,x70682)))
% 198.24/198.42 [7186]P144(x71861,x71862,x71863)+~P24(f337(x71861,x71863))+P24(f337(f337(f251(a1),f2(a1)),f824(x71863,x71862,x71861)))+P24(f337(f337(f252(a1),x71862),f823(x71863,x71862,x71861)))
% 198.24/198.42 [7205]P145(x72051,x72052,x72053)+P24(f337(f337(f251(a1),f2(a1)),f819(x72053,x72052,x72051)))+P24(f337(f337(f252(a1),x72052),f818(x72053,x72052,x72051)))+~P24(f337(x72051,f2(a1)))
% 198.24/198.42 [7239]P145(x72392,x72391,x72393)+E(x72391,f2(a1))+~P24(f337(x72392,f820(x72393,x72391,x72392)))+P24(f337(f337(f252(a1),x72391),f818(x72393,x72391,x72392)))
% 198.24/198.42 [7240]P144(x72402,x72401,x72403)+E(x72401,f2(a1))+~P24(f337(x72402,f824(x72403,x72401,x72402)))+P24(f337(f337(f252(a1),x72401),f823(x72403,x72401,x72402)))
% 198.24/198.42 [7281]P145(x72812,x72811,x72813)+E(x72811,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f819(x72813,x72811,x72812)))+~P24(f337(x72812,f822(x72813,x72811,x72812)))
% 198.24/198.42 [7282]P144(x72822,x72821,x72823)+E(x72821,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f824(x72823,x72821,x72822)))+~P24(f337(x72822,f823(x72823,x72821,x72822)))
% 198.24/198.42 [7373]P144(x73731,x73732,x73733)+~P24(f337(x73731,x73733))+~P24(f337(x73731,f824(x73733,x73732,x73731)))+P24(f337(f337(f252(a1),x73732),f823(x73733,x73732,x73731)))
% 198.24/198.42 [7389]P145(x73891,x73892,x73893)+~P24(f337(x73891,f820(x73893,x73892,x73891)))+P24(f337(f337(f252(a1),x73892),f818(x73893,x73892,x73891)))+~P24(f337(x73891,f2(a1)))
% 198.24/198.42 [7393]P144(x73931,x73932,x73933)+~P24(f337(x73931,x73933))+P24(f337(f337(f251(a1),f2(a1)),f824(x73933,x73932,x73931)))+~P24(f337(x73931,f823(x73933,x73932,x73931)))
% 198.24/198.42 [7409]P145(x74091,x74092,x74093)+P24(f337(f337(f251(a1),f2(a1)),f819(x74093,x74092,x74091)))+~P24(f337(x74091,f822(x74093,x74092,x74091)))+~P24(f337(x74091,f2(a1)))
% 198.24/198.42 [7432]P145(x74322,x74321,x74323)+E(x74321,f2(a1))+~P24(f337(x74322,f820(x74323,x74321,x74322)))+~P24(f337(x74322,f822(x74323,x74321,x74322)))
% 198.24/198.42 [7433]P144(x74332,x74331,x74333)+E(x74331,f2(a1))+~P24(f337(x74332,f824(x74333,x74331,x74332)))+~P24(f337(x74332,f823(x74333,x74331,x74332)))
% 198.24/198.42 [7525]P144(x75251,x75252,x75253)+~P24(f337(x75251,x75253))+~P24(f337(x75251,f824(x75253,x75252,x75251)))+~P24(f337(x75251,f823(x75253,x75252,x75251)))
% 198.24/198.42 [7542]P145(x75421,x75422,x75423)+~P24(f337(x75421,f820(x75423,x75422,x75421)))+~P24(f337(x75421,f822(x75423,x75422,x75421)))+~P24(f337(x75421,f2(a1)))
% 198.24/198.42 [7591]P145(x75912,x75911,x75913)+E(x75911,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f819(x75913,x75911,x75912)))+P24(f337(f337(f251(a1),f818(x75913,x75911,x75912)),f2(a1)))
% 198.24/198.42 [7592]P144(x75922,x75921,x75923)+E(x75921,f2(a1))+P24(f337(f337(f251(a1),f2(a1)),f824(x75923,x75921,x75922)))+P24(f337(f337(f251(a1),f823(x75923,x75921,x75922)),f2(a1)))
% 198.24/198.42 [7593]~P88(x75931)+~P24(f337(f337(f251(x75931),x75933),f2(x75931)))+~P24(f337(f337(f251(x75931),x75932),f2(x75931)))+P24(f337(f337(f251(x75931),f337(f337(f81(x75931),x75932),x75933)),f2(x75931)))
% 198.24/198.42 [7594]~P138(x75941)+~P24(f337(f337(f339(x75941),x75943),f112(x75941)))+~P24(f337(f337(f339(x75941),x75942),f112(x75941)))+P24(f337(f337(f339(x75941),f337(f337(f22(x75941),x75942),x75943)),f112(x75941)))
% 198.24/198.42 [7595]~P138(x75951)+~P24(f337(f337(f339(x75951),x75953),f112(x75951)))+~P24(f337(f337(f339(x75951),x75952),f112(x75951)))+P24(f337(f337(f339(x75951),f337(f337(f82(x75951),x75952),x75953)),f112(x75951)))
% 198.24/198.42 [7596]~P142(x75961)+~P24(f337(f337(f339(x75961),x75963),f195(x75961)))+~P24(f337(f337(f339(x75961),x75962),f195(x75961)))+P24(f337(f337(f339(x75961),f337(f337(f82(x75961),x75962),x75963)),f195(x75961)))
% 198.24/198.42 [7597]~P138(x75971)+~P24(f337(f337(f339(x75971),x75973),f112(x75971)))+~P24(f337(f337(f339(x75971),x75972),f112(x75971)))+P24(f337(f337(f339(x75971),f337(f337(f81(x75971),x75972),x75973)),f112(x75971)))
% 198.24/198.42 [7598]~P142(x75981)+~P24(f337(f337(f339(x75981),x75983),f195(x75981)))+~P24(f337(f337(f339(x75981),x75982),f195(x75981)))+P24(f337(f337(f339(x75981),f337(f337(f81(x75981),x75982),x75983)),f195(x75981)))
% 198.24/198.42 [7599]~P88(x75991)+~P24(f337(f337(f251(x75991),x75993),f2(x75991)))+~P24(f337(f337(f252(x75991),x75992),f2(x75991)))+P24(f337(f337(f252(x75991),f337(f337(f81(x75991),x75992),x75993)),f2(x75991)))
% 198.24/198.42 [7600]~P88(x76001)+~P24(f337(f337(f251(x76001),x76002),f2(x76001)))+~P24(f337(f337(f252(x76001),x76003),f2(x76001)))+P24(f337(f337(f252(x76001),f337(f337(f81(x76001),x76002),x76003)),f2(x76001)))
% 198.24/198.42 [7601]~P88(x76011)+~P24(f337(f337(f252(x76011),x76013),f2(x76011)))+~P24(f337(f337(f252(x76011),x76012),f2(x76011)))+P24(f337(f337(f252(x76011),f337(f337(f81(x76011),x76012),x76013)),f2(x76011)))
% 198.24/198.42 [7628]P145(x76283,x76281,x76282)+E(x76281,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x76281),f820(x76282,x76281,x76283))),f819(x76282,x76281,x76283)),x76282)+P24(f337(f337(f252(a1),x76281),f2(a1)))
% 198.24/198.42 [7629]P144(x76293,x76291,x76292)+E(x76291,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x76291),f825(x76292,x76291,x76293))),f824(x76292,x76291,x76293)),x76292)+P24(f337(f337(f252(a1),x76291),f2(a1)))
% 198.24/198.42 [7711]P144(x77111,x77112,x77113)+~P24(f337(x77111,x77113))+P24(f337(f337(f251(a1),f2(a1)),f824(x77113,x77112,x77111)))+P24(f337(f337(f251(a1),f823(x77113,x77112,x77111)),f2(a1)))
% 198.24/198.42 [7740]P145(x77401,x77402,x77403)+P24(f337(f337(f251(a1),f2(a1)),f819(x77403,x77402,x77401)))+~P24(f337(x77401,f2(a1)))+P24(f337(f337(f251(a1),f818(x77403,x77402,x77401)),f2(a1)))
% 198.24/198.42 [7749]P144(x77493,x77491,x77492)+~P24(f337(x77493,x77492))+E(f337(f337(f81(a1),f337(f337(f82(a1),x77491),f825(x77492,x77491,x77493))),f824(x77492,x77491,x77493)),x77492)+P24(f337(f337(f252(a1),x77491),f2(a1)))
% 198.24/198.42 [7756]P145(x77562,x77561,x77563)+E(x77561,f2(a1))+~P24(f337(x77562,f820(x77563,x77561,x77562)))+P24(f337(f337(f251(a1),f818(x77563,x77561,x77562)),f2(a1)))
% 198.24/198.42 [7757]P144(x77572,x77571,x77573)+E(x77571,f2(a1))+~P24(f337(x77572,f824(x77573,x77571,x77572)))+P24(f337(f337(f251(a1),f823(x77573,x77571,x77572)),f2(a1)))
% 198.24/198.42 [7762]P145(x77623,x77621,x77622)+E(f337(f337(f81(a1),f337(f337(f82(a1),x77621),f820(x77622,x77621,x77623))),f819(x77622,x77621,x77623)),x77622)+~P24(f337(x77623,f2(a1)))+P24(f337(f337(f252(a1),x77621),f2(a1)))
% 198.24/198.42 [7818]P144(x78181,x78182,x78183)+~P24(f337(x78181,x78183))+~P24(f337(x78181,f824(x78183,x78182,x78181)))+P24(f337(f337(f251(a1),f823(x78183,x78182,x78181)),f2(a1)))
% 198.24/198.42 [7822]P145(x78221,x78222,x78223)+~P24(f337(x78221,f820(x78223,x78222,x78221)))+~P24(f337(x78221,f2(a1)))+P24(f337(f337(f251(a1),f818(x78223,x78222,x78221)),f2(a1)))
% 198.24/198.42 [7889]~P124(x78891)+~P24(f337(f337(f251(x78891),f337(f337(f82(x78891),x78893),x78892)),f2(x78891)))+P24(f337(f337(f251(x78891),x78892),f2(x78891)))+P24(f337(f337(f251(x78891),x78893),f2(x78891)))
% 198.24/198.42 [7890]~P60(x78901)+~P24(f337(f337(f251(x78901),f337(f337(f295(x78901),x78903),x78902)),f2(x78901)))+P24(f337(f337(f251(x78901),x78902),f2(x78901)))+P24(f337(f337(f251(x78901),x78903),f2(x78901)))
% 198.24/198.42 [7891]~P60(x78911)+~P24(f337(f337(f252(x78911),f337(f337(f295(x78911),x78913),x78912)),f2(x78911)))+P24(f337(f337(f252(x78911),x78912),f2(x78911)))+P24(f337(f337(f252(x78911),x78913),f2(x78911)))
% 198.24/198.42 [8004]P145(x80043,x80041,x80042)+E(x80041,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80041),f820(x80042,x80041,x80043))),f819(x80042,x80041,x80043)),x80042)+P24(f337(f337(f252(a1),x80041),f818(x80042,x80041,x80043)))
% 198.24/198.42 [8005]P144(x80053,x80051,x80052)+E(x80051,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80051),f825(x80052,x80051,x80053))),f824(x80052,x80051,x80053)),x80052)+P24(f337(f337(f252(a1),x80051),f823(x80052,x80051,x80053)))
% 198.24/198.42 [8018]P145(x80183,x80181,x80182)+E(x80181,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80181),f822(x80182,x80181,x80183))),f818(x80182,x80181,x80183)),x80182)+P24(f337(f337(f251(a1),f2(a1)),f819(x80182,x80181,x80183)))
% 198.24/198.42 [8019]P144(x80193,x80191,x80192)+E(x80191,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80191),f826(x80192,x80191,x80193))),f823(x80192,x80191,x80193)),x80192)+P24(f337(f337(f251(a1),f2(a1)),f824(x80192,x80191,x80193)))
% 198.24/198.42 [8061]P144(x80613,x80611,x80612)+~P24(f337(x80613,x80612))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80611),f825(x80612,x80611,x80613))),f824(x80612,x80611,x80613)),x80612)+P24(f337(f337(f252(a1),x80611),f823(x80612,x80611,x80613)))
% 198.24/198.42 [8070]P145(x80703,x80701,x80702)+E(f337(f337(f81(a1),f337(f337(f82(a1),x80701),f820(x80702,x80701,x80703))),f819(x80702,x80701,x80703)),x80702)+P24(f337(f337(f252(a1),x80701),f818(x80702,x80701,x80703)))+~P24(f337(x80703,f2(a1)))
% 198.24/198.42 [8076]P144(x80763,x80761,x80762)+~P24(f337(x80763,x80762))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80761),f826(x80762,x80761,x80763))),f823(x80762,x80761,x80763)),x80762)+P24(f337(f337(f251(a1),f2(a1)),f824(x80762,x80761,x80763)))
% 198.24/198.42 [8082]P145(x80823,x80821,x80822)+E(f337(f337(f81(a1),f337(f337(f82(a1),x80821),f822(x80822,x80821,x80823))),f818(x80822,x80821,x80823)),x80822)+P24(f337(f337(f251(a1),f2(a1)),f819(x80822,x80821,x80823)))+~P24(f337(x80823,f2(a1)))
% 198.24/198.42 [8093]P145(x80933,x80931,x80932)+E(x80931,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80931),f820(x80932,x80931,x80933))),f819(x80932,x80931,x80933)),x80932)+~P24(f337(x80933,f822(x80932,x80931,x80933)))
% 198.24/198.42 [8094]P144(x80943,x80941,x80942)+E(x80941,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80941),f825(x80942,x80941,x80943))),f824(x80942,x80941,x80943)),x80942)+~P24(f337(x80943,f823(x80942,x80941,x80943)))
% 198.24/198.42 [8095]P145(x80953,x80951,x80952)+E(x80951,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80951),f822(x80952,x80951,x80953))),f818(x80952,x80951,x80953)),x80952)+~P24(f337(x80953,f820(x80952,x80951,x80953)))
% 198.24/198.42 [8096]P144(x80963,x80961,x80962)+E(x80961,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x80961),f826(x80962,x80961,x80963))),f823(x80962,x80961,x80963)),x80962)+~P24(f337(x80963,f824(x80962,x80961,x80963)))
% 198.24/198.42 [8153]P144(x81533,x81531,x81532)+~P24(f337(x81533,x81532))+E(f337(f337(f81(a1),f337(f337(f82(a1),x81531),f825(x81532,x81531,x81533))),f824(x81532,x81531,x81533)),x81532)+~P24(f337(x81533,f823(x81532,x81531,x81533)))
% 198.24/198.42 [8154]P144(x81543,x81541,x81542)+~P24(f337(x81543,x81542))+E(f337(f337(f81(a1),f337(f337(f82(a1),x81541),f826(x81542,x81541,x81543))),f823(x81542,x81541,x81543)),x81542)+~P24(f337(x81543,f824(x81542,x81541,x81543)))
% 198.24/198.42 [8164]P145(x81643,x81641,x81642)+E(f337(f337(f81(a1),f337(f337(f82(a1),x81641),f820(x81642,x81641,x81643))),f819(x81642,x81641,x81643)),x81642)+~P24(f337(x81643,f822(x81642,x81641,x81643)))+~P24(f337(x81643,f2(a1)))
% 198.24/198.42 [8165]P145(x81653,x81651,x81652)+E(f337(f337(f81(a1),f337(f337(f82(a1),x81651),f822(x81652,x81651,x81653))),f818(x81652,x81651,x81653)),x81652)+~P24(f337(x81653,f820(x81652,x81651,x81653)))+~P24(f337(x81653,f2(a1)))
% 198.24/198.42 [8268]P145(x82683,x82681,x82682)+E(x82681,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x82681),f820(x82682,x82681,x82683))),f819(x82682,x82681,x82683)),x82682)+P24(f337(f337(f251(a1),f818(x82682,x82681,x82683)),f2(a1)))
% 198.24/198.42 [8269]P144(x82693,x82691,x82692)+E(x82691,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x82691),f825(x82692,x82691,x82693))),f824(x82692,x82691,x82693)),x82692)+P24(f337(f337(f251(a1),f823(x82692,x82691,x82693)),f2(a1)))
% 198.24/198.42 [8309]P144(x83093,x83091,x83092)+~P24(f337(x83093,x83092))+E(f337(f337(f81(a1),f337(f337(f82(a1),x83091),f825(x83092,x83091,x83093))),f824(x83092,x83091,x83093)),x83092)+P24(f337(f337(f251(a1),f823(x83092,x83091,x83093)),f2(a1)))
% 198.24/198.42 [8314]P145(x83143,x83141,x83142)+E(f337(f337(f81(a1),f337(f337(f82(a1),x83141),f820(x83142,x83141,x83143))),f819(x83142,x83141,x83143)),x83142)+~P24(f337(x83143,f2(a1)))+P24(f337(f337(f251(a1),f818(x83142,x83141,x83143)),f2(a1)))
% 198.24/198.42 [8442]P145(x84423,x84421,x84422)+E(x84421,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x84421),f822(x84422,x84421,x84423))),f818(x84422,x84421,x84423)),x84422)+E(f337(f337(f81(a1),f337(f337(f82(a1),x84421),f820(x84422,x84421,x84423))),f819(x84422,x84421,x84423)),x84422)
% 198.24/198.42 [8443]P144(x84433,x84431,x84432)+E(x84431,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x84431),f826(x84432,x84431,x84433))),f823(x84432,x84431,x84433)),x84432)+E(f337(f337(f81(a1),f337(f337(f82(a1),x84431),f825(x84432,x84431,x84433))),f824(x84432,x84431,x84433)),x84432)
% 198.24/198.42 [8463]P144(x84633,x84631,x84632)+~P24(f337(x84633,x84632))+E(f337(f337(f81(a1),f337(f337(f82(a1),x84631),f826(x84632,x84631,x84633))),f823(x84632,x84631,x84633)),x84632)+E(f337(f337(f81(a1),f337(f337(f82(a1),x84631),f825(x84632,x84631,x84633))),f824(x84632,x84631,x84633)),x84632)
% 198.24/198.42 [8475]P145(x84753,x84751,x84752)+E(f337(f337(f81(a1),f337(f337(f82(a1),x84751),f822(x84752,x84751,x84753))),f818(x84752,x84751,x84753)),x84752)+E(f337(f337(f81(a1),f337(f337(f82(a1),x84751),f820(x84752,x84751,x84753))),f819(x84752,x84751,x84753)),x84752)+~P24(f337(x84753,f2(a1)))
% 198.24/198.42 [9105]~P124(x91051)+~E(x91053,f2(x91051))+~E(x91052,f2(x91051))+P24(f337(f337(f251(x91051),f337(f337(f81(x91051),f337(f337(f82(x91051),x91052),x91052)),f337(f337(f82(x91051),x91053),x91053))),f2(x91051)))
% 198.24/198.42 [10141]~P116(x101411)+~E(x101413,f2(x101411))+~E(x101412,f2(x101411))+P24(f337(f337(f251(x101411),f337(f337(f81(x101411),f337(f337(f262(x101411),x101412),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101411),x101413),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))),f2(x101411)))
% 198.24/198.42 [4865]~E(x48653,x48651)+~P118(x48652)+E(x48651,f2(x48652))+E(f337(f337(f295(x48652),x48653),x48651),f79(x48652))
% 198.24/198.42 [4918]~P65(x49181)+~E(x49183,f197(x49181))+~E(x49182,f197(x49181))+E(f337(f337(f113(x49181),x49182),x49183),f197(x49181))
% 198.24/198.42 [4919]~P99(x49191)+~E(x49193,f260(x49191))+~E(x49192,f260(x49191))+E(f337(f337(f104(x49191),x49192),x49193),f260(x49191))
% 198.24/198.42 [5007]~P118(x50073)+E(x50071,x50072)+E(x50072,f2(x50073))+~E(f337(f337(f295(x50073),x50071),x50072),f79(x50073))
% 198.24/198.42 [5026]~P130(x50262)+E(x50261,f2(x50262))+E(x50263,f2(x50262))+~E(f337(f337(f82(x50262),x50263),x50261),f2(x50262))
% 198.24/198.42 [5027]~P139(x50272)+E(x50271,f2(x50272))+E(x50273,f2(x50272))+~E(f337(f337(f82(x50272),x50273),x50271),f2(x50272))
% 198.24/198.42 [5409]~P117(x54093)+E(x54091,x54092)+E(x54091,f337(f80(x54093),x54092))+~E(f337(f337(f82(x54093),x54091),x54091),f337(f337(f82(x54093),x54092),x54092))
% 198.24/198.42 [5449]~P86(x54491)+E(f337(f80(x54491),x54492),x54493)+~E(f337(f337(f113(x54491),x54492),x54493),f260(x54491))+~E(f337(f337(f104(x54491),x54492),x54493),f197(x54491))
% 198.24/198.42 [5528]~P116(x55283)+E(x55281,x55282)+P24(f337(f337(f252(x55283),x55282),x55281))+P24(f337(f337(f252(x55283),x55281),x55282))
% 198.24/198.42 [5529]~P105(x55293)+E(x55291,x55292)+P24(f337(f337(f252(x55293),x55292),x55291))+P24(f337(f337(f252(x55293),x55291),x55292))
% 198.24/198.42 [5530]~E(x55302,x55303)+~P105(x55301)+P24(f337(f337(f252(x55301),x55302),x55303))+P24(f337(f337(f251(x55301),x55302),x55303))
% 198.24/198.42 [5785]~P106(x57853)+E(x57851,x57852)+~P24(f337(f337(f251(x57853),x57852),x57851))+P24(f337(f337(f252(x57853),x57852),x57851))
% 198.24/198.42 [5787]~P105(x57873)+E(x57871,x57872)+~P24(f337(f337(f251(x57873),x57871),x57872))+P24(f337(f337(f252(x57873),x57871),x57872))
% 198.24/198.42 [5793]~P106(x57933)+E(x57931,x57932)+~P24(f337(f337(f251(x57933),x57931),x57932))+P24(f337(f337(f252(x57933),x57931),x57932))
% 198.24/198.42 [5896]P144(x58961,x58962,x58963)+~P24(f337(x58961,x58963))+P24(f337(f337(f252(a1),x58962),f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x58962))
% 198.24/198.42 [5943]P145(x59431,x59432,x59433)+~P24(f337(x59431,f2(a1)))+P24(f337(f337(f252(a1),x59432),f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x59432))
% 198.24/198.42 [5947]~P64(x59471)+E(f337(f337(f113(x59471),x59472),f10(x59471,x59473)),x59472)+~P24(f337(f62(x59471),x59473))+~P24(f337(f337(f339(x59471),x59472),x59473))
% 198.24/198.42 [5948]~P64(x59481)+E(f337(f337(f104(x59481),x59482),f13(x59481,x59483)),x59482)+~P24(f337(f62(x59481),x59483))+~P24(f337(f337(f339(x59481),x59482),x59483))
% 198.24/198.42 [5985]~P64(x59851)+E(f337(f337(f113(x59851),x59852),f13(x59851,x59853)),f13(x59851,x59853))+~P24(f337(f62(x59851),x59853))+~P24(f337(f337(f339(x59851),x59852),x59853))
% 198.24/198.42 [5986]~P64(x59861)+E(f337(f337(f104(x59861),x59862),f10(x59861,x59863)),f10(x59861,x59863))+~P24(f337(f62(x59861),x59863))+~P24(f337(f337(f339(x59861),x59862),x59863))
% 198.24/198.42 [5987]~P105(x59871)+E(f337(f337(f249(x59871),x59872),f15(x59871,x59873)),f15(x59871,x59873))+~P24(f337(f62(x59871),x59873))+~P24(f337(f337(f339(x59871),x59872),x59873))
% 198.24/198.42 [5988]~P105(x59881)+E(f337(f337(f250(x59881),x59882),f14(x59881,x59883)),f14(x59881,x59883))+~P24(f337(f62(x59881),x59883))+~P24(f337(f337(f339(x59881),x59882),x59883))
% 198.24/198.42 [6029]E(x60291,x60292)+~P106(x60293)+~P24(f337(f337(f251(x60293),x60292),x60291))+~P24(f337(f337(f251(x60293),x60291),x60292))
% 198.24/198.42 [6170]~P62(x61701)+P24(f337(f337(f252(x61701),x61703),x61702))+~P24(f337(f337(f251(x61701),x61703),x61702))+P24(f337(f337(f251(x61701),x61702),x61703))
% 198.24/198.42 [6193]~P105(x61931)+~P24(f337(f62(x61931),x61933))+P24(f337(f337(f251(x61931),x61932),f14(x61931,x61933)))+~P24(f337(f337(f339(x61931),x61932),x61933))
% 198.24/198.42 [6247]~P105(x62471)+E(f337(f337(f249(x62471),x62472),f11(x62471,f250(x62471),x62473)),x62472)+~P24(f337(f62(x62471),x62473))+~P24(f337(f337(f339(x62471),x62472),x62473))
% 198.24/198.42 [6248]~P105(x62481)+E(f337(f337(f250(x62481),x62482),f12(x62481,f249(x62481),x62483)),x62482)+~P24(f337(f62(x62481),x62483))+~P24(f337(f337(f339(x62481),x62482),x62483))
% 198.24/198.42 [6385]E(x63851,x63852)+~E(f337(f337(f22(a884),x63851),x63853),f337(f337(f22(a884),x63852),x63853))+~P24(f337(f337(f251(a884),x63853),x63851))+~P24(f337(f337(f251(a884),x63853),x63852))
% 198.24/198.42 [6412]~P105(x64121)+~P24(f337(f62(x64121),x64122))+~P24(f337(f337(f339(x64121),x64123),x64122))+P24(f337(f337(f251(x64121),f15(x64121,x64122)),x64123))
% 198.24/198.42 [6475]P145(x64752,x64751,x64753)+E(x64751,f2(a1))+P24(f337(f337(f252(a1),x64751),f818(x64753,x64751,x64752)))+P24(f337(f337(f252(a1),f2(a1)),x64751))
% 198.24/198.42 [6476]P144(x64762,x64761,x64763)+E(x64761,f2(a1))+P24(f337(f337(f252(a1),x64761),f823(x64763,x64761,x64762)))+P24(f337(f337(f252(a1),f2(a1)),x64761))
% 198.24/198.42 [6477]~P105(x64771)+E(f337(f337(f249(x64771),x64772),f12(x64771,f249(x64771),x64773)),f12(x64771,f249(x64771),x64773))+~P24(f337(f62(x64771),x64773))+~P24(f337(f337(f339(x64771),x64772),x64773))
% 198.24/198.42 [6478]~P105(x64781)+E(f337(f337(f250(x64781),x64782),f11(x64781,f250(x64781),x64783)),f11(x64781,f250(x64781),x64783))+~P24(f337(f62(x64781),x64783))+~P24(f337(f337(f339(x64781),x64782),x64783))
% 198.24/198.42 [6484]~P24(f337(x64841,x64842))+P24(f337(x64841,f474(x64842,x64841,x64843)))+P24(f337(x64841,f2(a884)))+~P24(f337(f337(f252(a884),x64842),x64843))
% 198.24/198.42 [6540]~P24(f337(x65401,x65402))+~P24(f337(f62(x65403),x65402))+P24(f337(x65401,f573(x65401,x65402,x65403)))+P24(f337(x65401,f197(f893(x65403,a878))))
% 198.24/198.42 [6553]~P116(x65531)+~P93(x65531)+P24(f337(f337(f251(x65531),f337(f106(x65531),x65532)),f337(f106(x65531),x65533)))+~P24(f337(f337(f251(a1),x65532),x65533))
% 198.24/198.42 [6554]~P116(x65541)+~P93(x65541)+P24(f337(f337(f252(x65541),f337(f106(x65541),x65542)),f337(f106(x65541),x65543)))+~P24(f337(f337(f252(a1),x65542),x65543))
% 198.24/198.42 [6557]~P24(f337(x65571,x65573))+~P24(f337(f62(x65572),x65573))+P24(f337(f62(x65572),f573(x65571,x65573,x65572)))+P24(f337(x65571,f197(f893(x65572,a878))))
% 198.24/198.42 [6592]P144(x65921,x65922,x65923)+~P24(f337(x65921,x65923))+P24(f337(f337(f252(a1),x65922),f823(x65923,x65922,x65921)))+P24(f337(f337(f252(a1),f2(a1)),x65922))
% 198.24/198.42 [6627]P145(x66271,x66272,x66273)+P24(f337(f337(f252(a1),x66272),f818(x66273,x66272,x66271)))+~P24(f337(x66271,f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x66272))
% 198.24/198.42 [6658]~P107(x66581)+~P94(x66581)+E(f337(f337(f249(x66581),f337(f106(x66581),x66582)),f337(f106(x66581),x66583)),f337(f106(x66581),x66583))+P24(f337(f337(f251(x66581),f337(f106(x66581),x66582)),f337(f106(x66581),x66583)))
% 198.24/198.42 [6659]~P107(x66591)+~P94(x66591)+E(f337(f337(f250(x66591),f337(f106(x66591),x66592)),f337(f106(x66591),x66593)),f337(f106(x66591),x66592))+P24(f337(f337(f251(x66591),f337(f106(x66591),x66592)),f337(f106(x66591),x66593)))
% 198.24/198.42 [6716]P145(x67162,x67161,x67163)+E(x67161,f2(a1))+~P24(f337(x67162,f822(x67163,x67161,x67162)))+P24(f337(f337(f252(a1),f2(a1)),x67161))
% 198.24/198.42 [6717]P144(x67172,x67171,x67173)+E(x67171,f2(a1))+~P24(f337(x67172,f823(x67173,x67171,x67172)))+P24(f337(f337(f252(a1),f2(a1)),x67171))
% 198.24/198.42 [6721]P24(f337(x67211,x67212))+~P24(f337(f62(x67213),x67212))+P24(f337(x67211,f592(x67211,x67212,x67213)))+~P24(f337(x67211,f197(f893(x67213,a878))))
% 198.24/198.42 [6740]P24(f337(x67401,x67402))+P24(f337(f62(x67403),f592(x67401,x67402,x67403)))+~P24(f337(f62(x67403),x67402))+~P24(f337(x67401,f197(f893(x67403,a878))))
% 198.24/198.42 [6805]P144(x68051,x68052,x68053)+~P24(f337(x68051,x68053))+~P24(f337(x68051,f823(x68053,x68052,x68051)))+P24(f337(f337(f252(a1),f2(a1)),x68052))
% 198.24/198.42 [6835]P145(x68351,x68352,x68353)+~P24(f337(x68351,f822(x68353,x68352,x68351)))+~P24(f337(x68351,f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x68352))
% 198.24/198.42 [6943]~P93(x69433)+~P116(x69433)+~P24(f337(f337(f251(x69433),f337(f106(x69433),x69431)),f337(f106(x69433),x69432)))+P24(f337(f337(f251(a1),x69431),x69432))
% 198.24/198.42 [6944]~P93(x69443)+~P116(x69443)+~P24(f337(f337(f252(x69443),f337(f106(x69443),x69441)),f337(f106(x69443),x69442)))+P24(f337(f337(f252(a1),x69441),x69442))
% 198.24/198.42 [6971]~P105(x69711)+~P30(x69711,x69713)+P30(x69711,f337(f337(f153(x69711),x69712),x69713))+~P24(f337(f337(f251(x69711),x69712),f726(x69713,x69712,x69711)))
% 198.24/198.42 [6972]~P105(x69721)+~P30(x69721,x69723)+P30(x69721,f337(f337(f153(x69721),x69722),x69723))+~P24(f337(f337(f251(x69721),x69722),f727(x69723,x69722,x69721)))
% 198.24/198.42 [6973]~P105(x69731)+~P30(x69731,x69733)+P30(x69731,f337(f337(f153(x69731),x69732),x69733))+~P24(f337(f337(f251(x69731),x69732),f771(x69732,x69733,x69731)))
% 198.24/198.42 [7057]P145(x70572,x70571,x70573)+E(x70571,f2(a1))+P24(f337(f337(f252(a1),x70571),f2(a1)))+P24(f337(f337(f252(a1),f819(x70573,x70571,x70572)),x70571))
% 198.24/198.42 [7058]P144(x70582,x70581,x70583)+E(x70581,f2(a1))+P24(f337(f337(f252(a1),x70581),f2(a1)))+P24(f337(f337(f252(a1),f824(x70583,x70581,x70582)),x70581))
% 198.24/198.42 [7098]P145(x70982,x70981,x70983)+E(x70981,f2(a1))+P24(f337(f337(f251(a1),f818(x70983,x70981,x70982)),f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x70981))
% 198.24/198.42 [7099]P144(x70992,x70991,x70993)+E(x70991,f2(a1))+P24(f337(f337(f251(a1),f823(x70993,x70991,x70992)),f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x70991))
% 198.24/198.42 [7122]~P105(x71221)+~P30(x71221,x71223)+E(f337(f337(f150(x71221,x71221,f5(x71221)),x71222),f173(x71221,x71222,x71223)),x71223)+~P24(f337(f337(f339(x71221),x71222),f337(f175(x71221),x71223)))
% 198.24/198.42 [7169]P144(x71691,x71692,x71693)+~P24(f337(x71691,x71693))+P24(f337(f337(f252(a1),x71692),f2(a1)))+P24(f337(f337(f252(a1),f824(x71693,x71692,x71691)),x71692))
% 198.24/198.42 [7175]~P107(x71751)+~P94(x71751)+E(f337(f337(f249(x71751),f337(f106(x71751),x71752)),f337(f106(x71751),x71753)),f337(f106(x71751),x71752))+~P24(f337(f337(f251(x71751),f337(f106(x71751),x71752)),f337(f106(x71751),x71753)))
% 198.24/198.42 [7176]~P107(x71761)+~P94(x71761)+E(f337(f337(f250(x71761),f337(f106(x71761),x71762)),f337(f106(x71761),x71763)),f337(f106(x71761),x71763))+~P24(f337(f337(f251(x71761),f337(f106(x71761),x71762)),f337(f106(x71761),x71763)))
% 198.24/198.42 [7190]P145(x71901,x71902,x71903)+~P24(f337(x71901,f2(a1)))+P24(f337(f337(f252(a1),x71902),f2(a1)))+P24(f337(f337(f252(a1),f819(x71903,x71902,x71901)),x71902))
% 198.24/198.42 [7198]P144(x71981,x71982,x71983)+~P24(f337(x71981,x71983))+P24(f337(f337(f251(a1),f823(x71983,x71982,x71981)),f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x71982))
% 198.24/198.42 [7223]P145(x72231,x72232,x72233)+~P24(f337(x72231,f2(a1)))+P24(f337(f337(f251(a1),f818(x72233,x72232,x72231)),f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x72232))
% 198.24/198.42 [7251]~P24(f337(x72511,x72512))+P24(f337(x72511,f2(a884)))+~P24(f337(f337(f252(a884),x72512),x72513))+P24(f337(f337(f252(a884),f474(x72512,x72511,x72513)),x72513))
% 198.24/198.42 [7268]~P105(x72681)+~P30(x72681,x72683)+P30(x72681,f337(f337(f153(x72681),x72682),x72683))+P24(f337(f337(f339(x72681),f726(x72683,x72682,x72681)),f337(f175(x72681),x72683)))
% 198.24/198.42 [7269]~P105(x72691)+~P30(x72691,x72693)+P30(x72691,f337(f337(f153(x72691),x72692),x72693))+P24(f337(f337(f339(x72691),f727(x72693,x72692,x72691)),f337(f175(x72691),x72693)))
% 198.24/198.42 [7270]~P105(x72701)+~P30(x72701,x72703)+P30(x72701,f337(f337(f153(x72701),x72702),x72703))+P24(f337(f337(f339(x72701),f771(x72702,x72703,x72701)),f337(f175(x72701),x72703)))
% 198.24/198.42 [7377]~P105(x73771)+~P28(x73771)+~P24(f337(f337(f252(x73771),x73773),f40(x73771,x73772)))+P24(f337(f337(f339(x73771),f605(x73772,x73773,x73771)),x73772))
% 198.24/198.42 [7540]~P105(x75401)+~P28(x75401)+~P24(f337(f337(f252(x75401),f41(x75401,x75403)),x75402))+P24(f337(f337(f339(x75401),f632(x75402,x75403,x75401)),x75403))
% 198.24/198.42 [7541]~P105(x75411)+~P28(x75411)+~P24(f337(f337(f252(x75411),f41(x75411,x75413)),x75412))+P24(f337(f337(f252(x75411),f632(x75412,x75413,x75411)),x75412))
% 198.24/198.42 [7556]P145(x75562,x75561,x75563)+E(x75561,f2(a1))+P24(f337(f337(f252(a1),x75561),f818(x75563,x75561,x75562)))+P24(f337(f337(f252(a1),f819(x75563,x75561,x75562)),x75561))
% 198.24/198.42 [7557]P144(x75572,x75571,x75573)+E(x75571,f2(a1))+P24(f337(f337(f252(a1),x75571),f823(x75573,x75571,x75572)))+P24(f337(f337(f252(a1),f824(x75573,x75571,x75572)),x75571))
% 198.24/198.42 [7649]P145(x76493,x76491,x76492)+E(x76491,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x76491),f822(x76492,x76491,x76493))),f818(x76492,x76491,x76493)),x76492)+P24(f337(f337(f252(a1),f2(a1)),x76491))
% 198.24/198.42 [7650]P144(x76503,x76501,x76502)+E(x76501,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x76501),f826(x76502,x76501,x76503))),f823(x76502,x76501,x76503)),x76502)+P24(f337(f337(f252(a1),f2(a1)),x76501))
% 198.24/198.42 [7652]~P124(x76521)+~P24(f337(f337(f251(x76521),x76523),f2(x76521)))+P24(f337(f337(f251(x76521),f337(f337(f82(x76521),x76522),x76523)),f2(x76521)))+~P24(f337(f337(f251(x76521),f2(x76521)),x76522))
% 198.24/198.42 [7653]~P124(x76531)+~P24(f337(f337(f251(x76531),x76532),f2(x76531)))+P24(f337(f337(f251(x76531),f337(f337(f82(x76531),x76532),x76533)),f2(x76531)))+~P24(f337(f337(f251(x76531),f2(x76531)),x76533))
% 198.24/198.42 [7655]~P131(x76551)+~P24(f337(f337(f251(x76551),x76553),f2(x76551)))+P24(f337(f337(f251(x76551),f337(f337(f82(x76551),x76552),x76553)),f2(x76551)))+~P24(f337(f337(f251(x76551),f2(x76551)),x76552))
% 198.24/198.42 [7657]~P131(x76571)+~P24(f337(f337(f251(x76571),x76572),f2(x76571)))+P24(f337(f337(f251(x76571),f337(f337(f82(x76571),x76572),x76573)),f2(x76571)))+~P24(f337(f337(f251(x76571),f2(x76571)),x76573))
% 198.24/198.42 [7658]~P60(x76581)+~P24(f337(f337(f251(x76581),x76583),f2(x76581)))+P24(f337(f337(f251(x76581),f337(f337(f295(x76581),x76582),x76583)),f2(x76581)))+~P24(f337(f337(f251(x76581),f2(x76581)),x76582))
% 198.24/198.42 [7659]~P60(x76591)+~P24(f337(f337(f251(x76591),x76592),f2(x76591)))+P24(f337(f337(f251(x76591),f337(f337(f295(x76591),x76592),x76593)),f2(x76591)))+~P24(f337(f337(f251(x76591),f2(x76591)),x76593))
% 198.24/198.42 [7660]~P61(x76601)+~P24(f337(f337(f251(x76601),x76602),f2(x76601)))+P24(f337(f337(f251(x76601),f337(f337(f295(x76601),x76602),x76603)),f2(x76601)))+~P24(f337(f337(f252(x76601),f2(x76601)),x76603))
% 198.24/198.42 [7661]~P61(x76611)+~P24(f337(f337(f252(x76611),x76613),f2(x76611)))+P24(f337(f337(f251(x76611),f337(f337(f295(x76611),x76612),x76613)),f2(x76611)))+~P24(f337(f337(f251(x76611),f2(x76611)),x76612))
% 198.24/198.42 [7663]~P129(x76631)+~P24(f337(f337(f252(x76631),x76633),f2(x76631)))+P24(f337(f337(f252(x76631),f337(f337(f82(x76631),x76632),x76633)),f2(x76631)))+~P24(f337(f337(f252(x76631),f2(x76631)),x76632))
% 198.24/198.42 [7664]~P129(x76641)+~P24(f337(f337(f252(x76641),x76642),f2(x76641)))+P24(f337(f337(f252(x76641),f337(f337(f82(x76641),x76642),x76643)),f2(x76641)))+~P24(f337(f337(f252(x76641),f2(x76641)),x76643))
% 198.24/198.42 [7665]~P60(x76651)+~P24(f337(f337(f252(x76651),x76653),f2(x76651)))+P24(f337(f337(f252(x76651),f337(f337(f295(x76651),x76652),x76653)),f2(x76651)))+~P24(f337(f337(f252(x76651),f2(x76651)),x76652))
% 198.24/198.42 [7666]~P60(x76661)+~P24(f337(f337(f252(x76661),x76662),f2(x76661)))+P24(f337(f337(f252(x76661),f337(f337(f295(x76661),x76662),x76663)),f2(x76661)))+~P24(f337(f337(f252(x76661),f2(x76661)),x76663))
% 198.24/198.42 [7667]~P61(x76671)+~P24(f337(f337(f252(x76671),x76673),f2(x76671)))+P24(f337(f337(f252(x76671),f337(f337(f295(x76671),x76672),x76673)),f2(x76671)))+~P24(f337(f337(f252(x76671),f2(x76671)),x76672))
% 198.24/198.42 [7668]~P61(x76681)+~P24(f337(f337(f252(x76681),x76682),f2(x76681)))+P24(f337(f337(f252(x76681),f337(f337(f295(x76681),x76682),x76683)),f2(x76681)))+~P24(f337(f337(f252(x76681),f2(x76681)),x76683))
% 198.24/198.42 [7683]P144(x76831,x76832,x76833)+~P24(f337(x76831,x76833))+P24(f337(f337(f252(a1),x76832),f823(x76833,x76832,x76831)))+P24(f337(f337(f252(a1),f824(x76833,x76832,x76831)),x76832))
% 198.24/198.42 [7696]P145(x76961,x76962,x76963)+P24(f337(f337(f252(a1),x76962),f818(x76963,x76962,x76961)))+~P24(f337(x76961,f2(a1)))+P24(f337(f337(f252(a1),f819(x76963,x76962,x76961)),x76962))
% 198.24/198.42 [7747]P145(x77472,x77471,x77473)+E(x77471,f2(a1))+~P24(f337(x77472,f822(x77473,x77471,x77472)))+P24(f337(f337(f252(a1),f819(x77473,x77471,x77472)),x77471))
% 198.24/198.42 [7748]P144(x77482,x77481,x77483)+E(x77481,f2(a1))+~P24(f337(x77482,f823(x77483,x77481,x77482)))+P24(f337(f337(f252(a1),f824(x77483,x77481,x77482)),x77481))
% 198.24/198.42 [7759]P144(x77593,x77591,x77592)+~P24(f337(x77593,x77592))+E(f337(f337(f81(a1),f337(f337(f82(a1),x77591),f826(x77592,x77591,x77593))),f823(x77592,x77591,x77593)),x77592)+P24(f337(f337(f252(a1),f2(a1)),x77591))
% 198.24/198.42 [7776]P145(x77763,x77761,x77762)+E(f337(f337(f81(a1),f337(f337(f82(a1),x77761),f822(x77762,x77761,x77763))),f818(x77762,x77761,x77763)),x77762)+~P24(f337(x77763,f2(a1)))+P24(f337(f337(f252(a1),f2(a1)),x77761))
% 198.24/198.42 [7802]~P24(f337(x78021,x78023))+~P24(f337(f62(x78022),x78023))+P24(f337(f337(f339(x78022),f561(x78021,x78023,x78022)),f573(x78021,x78023,x78022)))+P24(f337(x78021,f197(f893(x78022,a878))))
% 198.24/198.42 [7813]P144(x78131,x78132,x78133)+~P24(f337(x78131,x78133))+~P24(f337(x78131,f823(x78133,x78132,x78131)))+P24(f337(f337(f252(a1),f824(x78133,x78132,x78131)),x78132))
% 198.24/198.42 [7819]P145(x78191,x78192,x78193)+~P24(f337(x78191,f822(x78193,x78192,x78191)))+~P24(f337(x78191,f2(a1)))+P24(f337(f337(f252(a1),f819(x78193,x78192,x78191)),x78192))
% 198.24/198.42 [7920]~P124(x79201)+~P24(f337(f337(f251(x79201),f337(f337(f82(x79201),x79203),x79202)),f2(x79201)))+P24(f337(f337(f251(x79201),x79202),f2(x79201)))+P24(f337(f337(f251(x79201),f2(x79201)),x79202))
% 198.24/198.42 [7921]~P124(x79211)+~P24(f337(f337(f251(x79211),f337(f337(f82(x79211),x79212),x79213)),f2(x79211)))+P24(f337(f337(f251(x79211),x79212),f2(x79211)))+P24(f337(f337(f251(x79211),f2(x79211)),x79212))
% 198.24/198.42 [7922]~P60(x79221)+~P24(f337(f337(f251(x79221),f337(f337(f295(x79221),x79223),x79222)),f2(x79221)))+P24(f337(f337(f251(x79221),x79222),f2(x79221)))+P24(f337(f337(f251(x79221),f2(x79221)),x79222))
% 198.24/198.42 [7923]~P60(x79231)+~P24(f337(f337(f251(x79231),f337(f337(f295(x79231),x79232),x79233)),f2(x79231)))+P24(f337(f337(f251(x79231),x79232),f2(x79231)))+P24(f337(f337(f251(x79231),f2(x79231)),x79232))
% 198.24/198.42 [7924]~P60(x79241)+~P24(f337(f337(f252(x79241),f337(f337(f295(x79241),x79243),x79242)),f2(x79241)))+P24(f337(f337(f252(x79241),x79242),f2(x79241)))+P24(f337(f337(f252(x79241),f2(x79241)),x79242))
% 198.24/198.42 [7925]~P60(x79251)+~P24(f337(f337(f252(x79251),f337(f337(f295(x79251),x79252),x79253)),f2(x79251)))+P24(f337(f337(f252(x79251),x79252),f2(x79251)))+P24(f337(f337(f252(x79251),f2(x79251)),x79252))
% 198.24/198.42 [7948]~P124(x79481)+~P24(f337(f337(f251(x79481),f337(f337(f82(x79481),x79482),x79483)),f2(x79481)))+P24(f337(f337(f251(x79481),f2(x79481)),x79482))+P24(f337(f337(f251(x79481),f2(x79481)),x79483))
% 198.24/198.42 [7949]~P60(x79491)+~P24(f337(f337(f251(x79491),f337(f337(f295(x79491),x79492),x79493)),f2(x79491)))+P24(f337(f337(f251(x79491),f2(x79491)),x79492))+P24(f337(f337(f251(x79491),f2(x79491)),x79493))
% 198.24/198.42 [7950]~P60(x79501)+~P24(f337(f337(f252(x79501),f337(f337(f295(x79501),x79502),x79503)),f2(x79501)))+P24(f337(f337(f252(x79501),f2(x79501)),x79502))+P24(f337(f337(f252(x79501),f2(x79501)),x79503))
% 198.24/198.42 [7971]P145(x79712,x79711,x79713)+E(x79711,f2(a1))+P24(f337(f337(f251(a1),f818(x79713,x79711,x79712)),f2(a1)))+P24(f337(f337(f252(a1),f819(x79713,x79711,x79712)),x79711))
% 198.24/198.42 [7972]P144(x79722,x79721,x79723)+E(x79721,f2(a1))+P24(f337(f337(f251(a1),f823(x79723,x79721,x79722)),f2(a1)))+P24(f337(f337(f252(a1),f824(x79723,x79721,x79722)),x79721))
% 198.24/198.42 [7979]~P122(x79791)+~P24(f337(f337(f252(x79791),x79792),f79(x79791)))+P24(f337(f337(f252(x79791),f337(f337(f262(x79791),x79792),f337(a115,x79793))),f79(x79791)))+~P24(f337(f337(f252(x79791),f2(x79791)),x79792))
% 198.24/198.42 [8035]~P105(x80351)+~E(x80353,f116(x80351))+~P30(x80351,f337(f171(x80351),x80353))+E(f337(f144(x80351,x80351,f337(f7(x80351,x80351,x80351),f250(x80351)),x80352),f337(f171(x80351),x80353)),x80352)
% 198.24/198.42 [8038]P144(x80381,x80382,x80383)+~P24(f337(x80381,x80383))+P24(f337(f337(f251(a1),f823(x80383,x80382,x80381)),f2(a1)))+P24(f337(f337(f252(a1),f824(x80383,x80382,x80381)),x80382))
% 198.24/198.42 [8045]P145(x80451,x80452,x80453)+~P24(f337(x80451,f2(a1)))+P24(f337(f337(f251(a1),f818(x80453,x80452,x80451)),f2(a1)))+P24(f337(f337(f252(a1),f819(x80453,x80452,x80451)),x80452))
% 198.24/198.42 [8263]P145(x82633,x82631,x82632)+E(x82631,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x82631),f822(x82632,x82631,x82633))),f818(x82632,x82631,x82633)),x82632)+P24(f337(f337(f252(a1),f819(x82632,x82631,x82633)),x82631))
% 198.24/198.42 [8264]P144(x82643,x82641,x82642)+E(x82641,f2(a1))+E(f337(f337(f81(a1),f337(f337(f82(a1),x82641),f826(x82642,x82641,x82643))),f823(x82642,x82641,x82643)),x82642)+P24(f337(f337(f252(a1),f824(x82642,x82641,x82643)),x82641))
% 198.24/198.42 [8300]P144(x83003,x83001,x83002)+~P24(f337(x83003,x83002))+E(f337(f337(f81(a1),f337(f337(f82(a1),x83001),f826(x83002,x83001,x83003))),f823(x83002,x83001,x83003)),x83002)+P24(f337(f337(f252(a1),f824(x83002,x83001,x83003)),x83001))
% 198.24/198.42 [8301]~P70(x83011)+~P74(x83011)+~P40(x83013)+E(f337(f337(f6(a884,x83011),f337(f337(f8(a1,x83011,a884),x83012),f103(a1))),f337(f316(a1,a884,a107),x83013)),f337(f337(f6(a1,x83011),x83012),x83013))
% 198.24/198.42 [8302]~P70(x83021)+~P74(x83021)+~P40(x83023)+E(f337(f337(f9(a884,x83021),f337(f337(f8(a1,x83021,a884),x83022),f103(a1))),f337(f316(a1,a884,a107),x83023)),f337(f337(f9(a1,x83021),x83022),x83023))
% 198.24/198.42 [8311]P145(x83113,x83111,x83112)+E(f337(f337(f81(a1),f337(f337(f82(a1),x83111),f822(x83112,x83111,x83113))),f818(x83112,x83111,x83113)),x83112)+~P24(f337(x83113,f2(a1)))+P24(f337(f337(f252(a1),f819(x83112,x83111,x83113)),x83111))
% 198.24/198.42 [8331]~E(x83312,f2(a884))+~E(f337(f271(a884,a884),x83313),f2(a884))+~E(x83311,f337(f337(f81(a884),f337(f337(f82(a884),f337(f271(a884,a884),x83313)),x83312)),f337(f275(a884,a884),x83313)))+P24(f337(f48(x83311,x83312),x83313))
% 198.24/198.42 [8383]P24(f337(x83831,x83832))+~P24(f337(f337(f339(x83833),f582(x83831,x83832,x83833)),f592(x83831,x83832,x83833)))+~P24(f337(f62(x83833),x83832))+~P24(f337(x83831,f197(f893(x83833,a878))))
% 198.24/198.42 [8980]P24(f337(x89801,x89802))+~P24(f337(f62(x89803),x89802))+~P24(f337(x89801,f337(f337(f315(x89803),f582(x89801,x89802,x89803)),f592(x89801,x89802,x89803))))+~P24(f337(x89801,f197(f893(x89803,a878))))
% 198.24/198.42 [9209]P24(f337(f337(f251(a1),x92091),f2(a1)))+~P24(f337(f337(f252(a1),f337(f337(f81(a1),f337(f337(f82(a1),x92093),x92091)),x92092)),f2(a1)))+~P24(f337(f337(f251(a1),f2(a1)),x92092))+~P24(f337(f337(f252(a1),f2(a1)),x92093))
% 198.24/198.42 [5856]~P64(x58562)+E(x58561,f197(f893(x58562,a878)))+~P24(f337(f62(x58562),x58561))+E(f13(x58562,f337(f337(f315(x58562),x58563),x58561)),f337(f337(f113(x58562),x58563),f13(x58562,x58561)))
% 198.24/198.42 [5857]~P64(x58572)+E(x58571,f197(f893(x58572,a878)))+~P24(f337(f62(x58572),x58571))+E(f10(x58572,f337(f337(f315(x58572),x58573),x58571)),f337(f337(f104(x58572),x58573),f10(x58572,x58571)))
% 198.24/198.42 [5858]~P105(x58582)+E(x58581,f197(f893(x58582,a878)))+~P24(f337(f62(x58582),x58581))+E(f14(x58582,f337(f337(f315(x58582),x58583),x58581)),f337(f337(f250(x58582),x58583),f14(x58582,x58581)))
% 198.24/198.42 [5859]~P105(x58592)+E(x58591,f197(f893(x58592,a878)))+~P24(f337(f62(x58592),x58591))+E(f15(x58592,f337(f337(f315(x58592),x58593),x58591)),f337(f337(f249(x58592),x58593),f15(x58592,x58591)))
% 198.24/198.42 [6167]~P124(x61671)+~E(x61673,f2(x61671))+~E(x61672,f2(x61671))+E(f337(f337(f81(x61671),f337(f337(f82(x61671),x61672),x61672)),f337(f337(f82(x61671),x61673),x61673)),f2(x61671))
% 198.24/198.42 [6240]~P96(x62402)+E(x62401,f197(f893(x62402,a878)))+~P24(f337(f62(x62402),x62401))+E(f337(f64(x62402,f82(x62402)),f337(f337(f315(x62402),x62403),x62401)),f337(f337(f82(x62402),x62403),f337(f64(x62402,f82(x62402)),x62401)))
% 198.24/198.42 [6364]~P105(x63642)+E(x63641,f197(f893(x63642,a878)))+~P24(f337(f62(x63642),x63641))+E(f11(x63642,f250(x63642),f337(f337(f315(x63642),x63643),x63641)),f337(f337(f250(x63642),x63643),f11(x63642,f250(x63642),x63641)))
% 198.24/198.42 [6365]~P105(x63652)+E(x63651,f197(f893(x63652,a878)))+~P24(f337(f62(x63652),x63651))+E(f12(x63652,f249(x63652),f337(f337(f315(x63652),x63653),x63651)),f337(f337(f249(x63652),x63653),f12(x63652,f249(x63652),x63651)))
% 198.24/198.42 [6870]~P68(x68701)+~P24(f337(f62(x68701),x68703))+E(f337(f64(x68701,f82(x68701)),f337(f337(f315(x68701),x68702),x68703)),f337(f337(f65(x68701,x68701,f82(x68701)),x68702),x68703))+P24(f337(f337(f339(x68701),x68702),x68703))
% 198.24/198.42 [6951]~E(f337(f337(f81(a1),x69512),f337(f337(f82(a1),x69513),x69511)),x69513)+~P24(f337(f337(f252(a1),f2(a1)),x69513))+P24(f337(f337(f251(a1),f79(a1)),x69511))+~P24(f337(f337(f252(a1),x69512),x69513))
% 198.24/198.42 [6978]~E(f337(f337(f81(a1),x69782),f337(f337(f82(a1),x69783),x69781)),x69783)+P24(f337(f337(f251(a1),x69781),f79(a1)))+~P24(f337(f337(f251(a1),f2(a1)),x69782))+~P24(f337(f337(f252(a1),f2(a1)),x69783))
% 198.24/198.42 [6994]E(x69941,f2(a884))+~P24(f337(f48(x69943,x69941),x69942))+~P24(f337(f337(f252(a884),f2(a884)),x69941))+P24(f337(f337(f252(a884),f337(f275(a884,a884),x69942)),x69941))
% 198.24/198.42 [7024]~P134(x70241)+~P24(f337(f337(f251(x70241),x70242),f2(x70241)))+~P24(f337(f337(f251(x70241),x70243),f2(x70241)))+E(f337(f337(f82(x70241),f337(f76(x70241),x70242)),f337(f76(x70241),x70243)),f337(f76(x70241),f337(f337(f82(x70241),x70242),x70243)))
% 198.24/198.42 [7075]~P134(x70751)+~P24(f337(f337(f251(x70751),x70752),f2(x70751)))+E(f337(f337(f82(x70751),f337(f76(x70751),x70752)),f337(f76(x70751),x70753)),f337(f76(x70751),f337(f337(f82(x70751),x70752),x70753)))+~P24(f337(f337(f251(x70751),f2(x70751)),x70753))
% 198.24/198.42 [7076]~P134(x70761)+~P24(f337(f337(f251(x70761),x70763),f2(x70761)))+E(f337(f337(f82(x70761),f337(f76(x70761),x70762)),f337(f76(x70761),x70763)),f337(f76(x70761),f337(f337(f82(x70761),x70762),x70763)))+~P24(f337(f337(f251(x70761),f2(x70761)),x70762))
% 198.24/198.42 [7131]~P134(x71311)+E(f337(f337(f82(x71311),f337(f76(x71311),x71312)),f337(f76(x71311),x71313)),f337(f76(x71311),f337(f337(f82(x71311),x71312),x71313)))+~P24(f337(f337(f251(x71311),f2(x71311)),x71312))+~P24(f337(f337(f251(x71311),f2(x71311)),x71313))
% 198.24/198.42 [7148]~P109(x71481)+~P24(f337(f337(f251(x71481),x71483),f2(x71481)))+~P24(f337(f337(f251(x71481),x71482),f2(x71481)))+P24(f337(f337(f251(x71481),f2(x71481)),f337(f337(f82(x71481),x71482),x71483)))
% 198.24/198.42 [7149]~P124(x71491)+~P24(f337(f337(f251(x71491),x71493),f2(x71491)))+~P24(f337(f337(f251(x71491),x71492),f2(x71491)))+P24(f337(f337(f251(x71491),f2(x71491)),f337(f337(f82(x71491),x71492),x71493)))
% 198.24/198.42 [7150]~P60(x71501)+~P24(f337(f337(f251(x71501),x71503),f2(x71501)))+~P24(f337(f337(f251(x71501),x71502),f2(x71501)))+P24(f337(f337(f251(x71501),f2(x71501)),f337(f337(f295(x71501),x71502),x71503)))
% 198.24/198.42 [7151]~P61(x71511)+~P24(f337(f337(f252(x71511),x71513),f2(x71511)))+~P24(f337(f337(f251(x71511),x71512),f2(x71511)))+P24(f337(f337(f251(x71511),f2(x71511)),f337(f337(f295(x71511),x71512),x71513)))
% 198.24/198.42 [7152]~P124(x71521)+~P24(f337(f337(f252(x71521),x71523),f2(x71521)))+~P24(f337(f337(f252(x71521),x71522),f2(x71521)))+P24(f337(f337(f252(x71521),f2(x71521)),f337(f337(f82(x71521),x71522),x71523)))
% 198.24/198.42 [7153]~P60(x71531)+~P24(f337(f337(f252(x71531),x71533),f2(x71531)))+~P24(f337(f337(f252(x71531),x71532),f2(x71531)))+P24(f337(f337(f252(x71531),f2(x71531)),f337(f337(f295(x71531),x71532),x71533)))
% 198.24/198.42 [7154]~P61(x71541)+~P24(f337(f337(f252(x71541),x71543),f2(x71541)))+~P24(f337(f337(f252(x71541),x71542),f2(x71541)))+P24(f337(f337(f252(x71541),f2(x71541)),f337(f337(f295(x71541),x71542),x71543)))
% 198.24/198.42 [7155]~P122(x71551)+~P24(f337(f337(f252(a884),f2(a884)),x71553))+~P24(f337(f337(f252(x71551),f79(x71551)),x71552))+P24(f337(f337(f252(x71551),f79(x71551)),f337(f337(f262(x71551),x71552),x71553)))
% 198.24/198.42 [7252]~P109(x72521)+~P24(f337(f337(f251(x72521),f2(x72521)),x72523))+~P24(f337(f337(f251(x72521),f2(x72521)),x72522))+P24(f337(f337(f251(x72521),f2(x72521)),f337(f337(f82(x72521),x72522),x72523)))
% 198.24/198.42 [7253]~P124(x72531)+~P24(f337(f337(f251(x72531),f2(x72531)),x72533))+~P24(f337(f337(f251(x72531),f2(x72531)),x72532))+P24(f337(f337(f251(x72531),f2(x72531)),f337(f337(f82(x72531),x72532),x72533)))
% 198.24/198.42 [7254]~P131(x72541)+~P24(f337(f337(f251(x72541),f2(x72541)),x72543))+~P24(f337(f337(f251(x72541),f2(x72541)),x72542))+P24(f337(f337(f251(x72541),f2(x72541)),f337(f337(f82(x72541),x72542),x72543)))
% 198.24/198.42 [7256]~P60(x72561)+~P24(f337(f337(f251(x72561),f2(x72561)),x72563))+~P24(f337(f337(f251(x72561),f2(x72561)),x72562))+P24(f337(f337(f251(x72561),f2(x72561)),f337(f337(f295(x72561),x72562),x72563)))
% 198.24/198.42 [7257]~P61(x72571)+~P24(f337(f337(f252(x72571),f2(x72571)),x72573))+~P24(f337(f337(f251(x72571),f2(x72571)),x72572))+P24(f337(f337(f251(x72571),f2(x72571)),f337(f337(f295(x72571),x72572),x72573)))
% 198.24/198.42 [7258]~P122(x72581)+~P24(f337(f337(f252(x72581),f79(x72581)),x72583))+~P24(f337(f337(f252(x72581),f79(x72581)),x72582))+P24(f337(f337(f252(x72581),f79(x72581)),f337(f337(f82(x72581),x72582),x72583)))
% 198.24/198.42 [7259]~P129(x72591)+~P24(f337(f337(f252(x72591),f2(x72591)),x72593))+~P24(f337(f337(f252(x72591),f2(x72591)),x72592))+P24(f337(f337(f252(x72591),f2(x72591)),f337(f337(f82(x72591),x72592),x72593)))
% 198.24/198.42 [7262]~P88(x72621)+~P24(f337(f337(f252(x72621),f2(x72621)),x72623))+~P24(f337(f337(f252(x72621),f2(x72621)),x72622))+P24(f337(f337(f252(x72621),f2(x72621)),f337(f337(f81(x72621),x72622),x72623)))
% 198.24/198.42 [7263]~P60(x72631)+~P24(f337(f337(f252(x72631),f2(x72631)),x72633))+~P24(f337(f337(f252(x72631),f2(x72631)),x72632))+P24(f337(f337(f252(x72631),f2(x72631)),f337(f337(f295(x72631),x72632),x72633)))
% 198.24/198.42 [7264]~P61(x72641)+~P24(f337(f337(f252(x72641),f2(x72641)),x72643))+~P24(f337(f337(f252(x72641),f2(x72641)),x72642))+P24(f337(f337(f252(x72641),f2(x72641)),f337(f337(f295(x72641),x72642),x72643)))
% 198.24/198.42 [7338]~P64(x73381)+~P24(f337(f62(x73381),x73383))+E(f13(x73381,f337(f337(f315(x73381),x73382),x73383)),x73382)+~E(f337(f337(f22(f893(x73381,a878)),x73383),f337(f337(f315(x73381),x73382),f197(f893(x73381,a878)))),f197(f893(x73381,a878)))
% 198.24/198.42 [7339]~P64(x73391)+~P24(f337(f62(x73391),x73393))+E(f10(x73391,f337(f337(f315(x73391),x73392),x73393)),x73392)+~E(f337(f337(f22(f893(x73391,a878)),x73393),f337(f337(f315(x73391),x73392),f197(f893(x73391,a878)))),f197(f893(x73391,a878)))
% 198.24/198.42 [7340]~P105(x73401)+~P24(f337(f62(x73401),x73403))+E(f14(x73401,f337(f337(f315(x73401),x73402),x73403)),x73402)+~E(f337(f337(f22(f893(x73401,a878)),x73403),f337(f337(f315(x73401),x73402),f197(f893(x73401,a878)))),f197(f893(x73401,a878)))
% 198.24/198.42 [7341]~P105(x73411)+~P24(f337(f62(x73411),x73413))+E(f15(x73411,f337(f337(f315(x73411),x73412),x73413)),x73412)+~E(f337(f337(f22(f893(x73411,a878)),x73413),f337(f337(f315(x73411),x73412),f197(f893(x73411,a878)))),f197(f893(x73411,a878)))
% 198.24/198.42 [7342]~P124(x73421)+P24(f337(f337(f251(x73421),x73422),f2(x73421)))+P24(f337(f337(f251(x73421),f2(x73421)),x73423))+~P24(f337(f337(f251(x73421),f2(x73421)),f337(f337(f82(x73421),x73423),x73422)))
% 198.24/198.42 [7343]~P124(x73431)+P24(f337(f337(f251(x73431),x73432),f2(x73431)))+P24(f337(f337(f251(x73431),f2(x73431)),x73433))+~P24(f337(f337(f251(x73431),f2(x73431)),f337(f337(f82(x73431),x73432),x73433)))
% 198.24/198.42 [7344]~P60(x73441)+P24(f337(f337(f251(x73441),x73442),f2(x73441)))+P24(f337(f337(f251(x73441),f2(x73441)),x73443))+~P24(f337(f337(f251(x73441),f2(x73441)),f337(f337(f295(x73441),x73443),x73442)))
% 198.24/198.42 [7345]~P60(x73451)+P24(f337(f337(f251(x73451),x73452),f2(x73451)))+P24(f337(f337(f251(x73451),f2(x73451)),x73453))+~P24(f337(f337(f251(x73451),f2(x73451)),f337(f337(f295(x73451),x73452),x73453)))
% 198.24/198.42 [7346]~P124(x73461)+P24(f337(f337(f251(x73461),x73462),f2(x73461)))+P24(f337(f337(f251(x73461),f2(x73461)),x73462))+~P24(f337(f337(f251(x73461),f2(x73461)),f337(f337(f82(x73461),x73463),x73462)))
% 198.24/198.42 [7347]~P124(x73471)+P24(f337(f337(f251(x73471),x73472),f2(x73471)))+P24(f337(f337(f251(x73471),f2(x73471)),x73472))+~P24(f337(f337(f251(x73471),f2(x73471)),f337(f337(f82(x73471),x73472),x73473)))
% 198.24/198.42 [7348]~P60(x73481)+P24(f337(f337(f251(x73481),x73482),f2(x73481)))+P24(f337(f337(f251(x73481),f2(x73481)),x73482))+~P24(f337(f337(f251(x73481),f2(x73481)),f337(f337(f295(x73481),x73483),x73482)))
% 198.24/198.42 [7349]~P60(x73491)+P24(f337(f337(f251(x73491),x73492),f2(x73491)))+P24(f337(f337(f251(x73491),f2(x73491)),x73492))+~P24(f337(f337(f251(x73491),f2(x73491)),f337(f337(f295(x73491),x73492),x73493)))
% 198.24/198.42 [7350]~P60(x73501)+P24(f337(f337(f252(x73501),x73502),f2(x73501)))+P24(f337(f337(f252(x73501),f2(x73501)),x73503))+~P24(f337(f337(f252(x73501),f2(x73501)),f337(f337(f295(x73501),x73503),x73502)))
% 198.24/198.42 [7351]~P60(x73511)+P24(f337(f337(f252(x73511),x73512),f2(x73511)))+P24(f337(f337(f252(x73511),f2(x73511)),x73513))+~P24(f337(f337(f252(x73511),f2(x73511)),f337(f337(f295(x73511),x73512),x73513)))
% 198.24/198.42 [7352]~P60(x73521)+P24(f337(f337(f252(x73521),x73522),f2(x73521)))+P24(f337(f337(f252(x73521),f2(x73521)),x73522))+~P24(f337(f337(f252(x73521),f2(x73521)),f337(f337(f295(x73521),x73523),x73522)))
% 198.24/198.42 [7353]~P60(x73531)+P24(f337(f337(f252(x73531),x73532),f2(x73531)))+P24(f337(f337(f252(x73531),f2(x73531)),x73532))+~P24(f337(f337(f252(x73531),f2(x73531)),f337(f337(f295(x73531),x73532),x73533)))
% 198.24/198.42 [7440]~E(f337(f337(f104(f893(x74401,a878)),f337(f175(x74401),x74402)),f337(f175(x74401),x74403)),f197(f893(x74401,a878)))+~P24(f337(f139(x74401),x74403))+~P24(f337(f139(x74401),x74402))+P24(f337(f139(x74401),f337(f337(f136(x74401),x74402),x74403)))
% 198.24/198.42 [7441]~P105(x74411)+~P24(f337(f62(x74411),x74413))+E(f11(x74411,f250(x74411),f337(f337(f315(x74411),x74412),x74413)),x74412)+~E(f337(f337(f22(f893(x74411,a878)),x74413),f337(f337(f315(x74411),x74412),f197(f893(x74411,a878)))),f197(f893(x74411,a878)))
% 198.24/198.42 [7442]~P105(x74421)+~P24(f337(f62(x74421),x74423))+E(f12(x74421,f249(x74421),f337(f337(f315(x74421),x74422),x74423)),x74422)+~E(f337(f337(f22(f893(x74421,a878)),x74423),f337(f337(f315(x74421),x74422),f197(f893(x74421,a878)))),f197(f893(x74421,a878)))
% 198.24/198.42 [7459]~P85(x74591)+~P24(f337(f337(f251(x74591),x74592),x74593))+~P24(f337(f337(f251(x74591),f337(f80(x74591),x74592)),x74593))+P24(f337(f337(f251(x74591),f337(f76(x74591),x74592)),x74593))
% 198.24/198.42 [7460]~P116(x74601)+~P24(f337(f337(f252(x74601),x74602),x74603))+~P24(f337(f337(f252(x74601),f337(f80(x74601),x74602)),x74603))+P24(f337(f337(f252(x74601),f337(f76(x74601),x74602)),x74603))
% 198.24/198.42 [7530]~P129(x75301)+P24(f337(f337(f252(x75301),f2(x75301)),x75302))+~P24(f337(f337(f252(x75301),f2(x75301)),x75303))+~P24(f337(f337(f252(x75301),f2(x75301)),f337(f337(f82(x75301),x75303),x75302)))
% 198.24/198.42 [7531]~P129(x75311)+P24(f337(f337(f252(x75311),f2(x75311)),x75312))+~P24(f337(f337(f252(x75311),f2(x75311)),x75313))+~P24(f337(f337(f252(x75311),f2(x75311)),f337(f337(f82(x75311),x75312),x75313)))
% 198.24/198.42 [7835]E(x78351,x78352)+~P24(f337(f62(x78353),x78351))+~P24(f337(f337(f251(a884),f337(f38(x78353),x78351)),f337(f38(x78353),x78352)))+~P24(f337(f337(f251(f893(x78353,a878)),x78352),x78351))
% 198.24/198.42 [7975]~P24(f337(f337(f252(a1),x79751),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x79752))+~P24(f337(f337(f251(a1),x79752),x79753))+P24(f337(f337(f251(a1),f337(f337(f39(a1),x79751),x79752)),f337(f337(f39(a1),x79751),x79753)))
% 198.24/198.42 [7987]~P24(f337(f337(f251(a1),f2(a1)),x79871))+~P24(f337(f337(f252(a1),f2(a1)),x79873))+~P24(f337(f337(f251(a1),x79873),x79872))+P24(f337(f337(f251(a1),f337(f337(f39(a1),x79871),x79872)),f337(f337(f39(a1),x79871),x79873)))
% 198.24/198.42 [8121]E(f337(x81211,f424(x81212,x81211,x81213)),x81212)+~P24(f337(f337(f251(a1),x81212),f337(x81211,x81213)))+P24(f337(f337(f252(a884),f425(x81212,x81211,x81213)),x81213))+~P24(f337(f337(f251(a1),f337(x81211,f2(a884))),x81212))
% 198.24/198.42 [8122]E(f337(x81221,f431(x81222,x81221,x81223)),x81222)+~P24(f337(f337(f251(a1),x81222),f337(x81221,x81223)))+P24(f337(f337(f252(a884),f432(x81222,x81221,x81223)),x81223))+~P24(f337(f337(f251(a1),f337(x81221,f2(a884))),x81222))
% 198.24/198.42 [8223]~P24(f337(f62(x82231),x82233))+~P24(f337(f337(f252(a884),f337(f38(x82231),x82232)),f337(f38(x82231),x82233)))+~P24(f337(f337(f251(f893(x82231,a878)),x82232),x82233))+P24(f337(f337(f252(f893(x82231,a878)),x82232),x82233))
% 198.24/198.42 [8252]E(f337(f337(f81(a1),f383(x82523,x82521,x82522)),f384(x82523,x82521,x82522)),x82521)+E(f337(f337(f22(a1),x82521),x82522),x82521)+~P24(f337(f337(f252(a1),f2(a1)),x82522))+~P24(f337(f337(f339(a1),f337(f337(f22(a1),x82521),f79(a1))),x82523))
% 198.24/198.42 [8253]E(f337(f337(f22(a1),f393(x82533,x82531,x82532)),f394(x82533,x82531,x82532)),x82531)+E(f337(f337(f81(a1),x82531),x82532),x82531)+~P24(f337(f337(f252(a1),f2(a1)),x82532))+~P24(f337(f337(f339(a1),f337(f337(f81(a1),x82531),f79(a1))),x82533))
% 198.24/198.42 [8306]~P24(f337(f337(f251(a884),x83063),x83061))+P24(f337(f337(f251(a884),x83061),x83062))+~P24(f337(f337(f251(a884),x83063),x83062))+~P24(f337(f337(f251(a884),f337(f337(f22(a884),x83061),x83063)),f337(f337(f22(a884),x83062),x83063)))
% 198.24/198.42 [8307]~P24(f337(f337(f251(a884),x83073),x83071))+P24(f337(f337(f252(a884),x83071),x83072))+~P24(f337(f337(f251(a884),x83073),x83072))+~P24(f337(f337(f252(a884),f337(f337(f22(a884),x83071),x83073)),f337(f337(f22(a884),x83072),x83073)))
% 198.24/198.42 [8324]~P105(x83242)+E(x83241,f116(x83242))+~P30(x83242,f337(f171(x83242),x83241))+E(f337(f144(x83242,x83242,f337(f7(x83242,x83242,x83242),f250(x83242)),x83243),f337(f171(x83242),x83241)),f337(f337(f250(x83242),f337(f337(f167(x83242),x83241),f2(a884))),x83243))
% 198.24/198.42 [8388]E(f337(f337(f22(a1),x83881),x83882),x83881)+~P24(f337(f337(f252(a1),f2(a1)),x83882))+P24(f337(f337(f339(a1),f383(x83883,x83881,x83882)),x83883))+~P24(f337(f337(f339(a1),f337(f337(f22(a1),x83881),f79(a1))),x83883))
% 198.24/198.42 [8389]E(f337(f337(f81(a1),x83891),x83892),x83891)+~P24(f337(f337(f252(a1),f2(a1)),x83892))+P24(f337(f337(f339(a1),f393(x83893,x83891,x83892)),x83893))+~P24(f337(f337(f339(a1),f337(f337(f81(a1),x83891),f79(a1))),x83893))
% 198.24/198.42 [8461]~P24(f337(f337(f251(a1),x84611),f337(x84612,x84613)))+P24(f337(f337(f252(a884),f425(x84611,x84612,x84613)),x84613))+P24(f337(f337(f251(a884),f424(x84611,x84612,x84613)),x84613))+~P24(f337(f337(f251(a1),f337(x84612,f2(a884))),x84611))
% 198.24/198.42 [8462]~P24(f337(f337(f251(a1),x84621),f337(x84622,x84623)))+P24(f337(f337(f252(a884),f432(x84621,x84622,x84623)),x84623))+P24(f337(f337(f251(a884),f431(x84621,x84622,x84623)),x84623))+~P24(f337(f337(f251(a1),f337(x84622,f2(a884))),x84621))
% 198.24/198.42 [8533]E(f337(f337(f22(a1),x85331),x85332),x85331)+~P24(f337(f337(f252(a1),f2(a1)),x85332))+P24(f337(f337(f339(a1),f384(x85333,x85331,x85332)),f308(a1,f79(a1),x85332)))+~P24(f337(f337(f339(a1),f337(f337(f22(a1),x85331),f79(a1))),x85333))
% 198.24/198.42 [8534]E(f337(f337(f81(a1),x85341),x85342),x85341)+~P24(f337(f337(f252(a1),f2(a1)),x85342))+P24(f337(f337(f339(a1),f394(x85343,x85341,x85342)),f308(a1,f79(a1),x85342)))+~P24(f337(f337(f339(a1),f337(f337(f81(a1),x85341),f79(a1))),x85343))
% 198.24/198.42 [8660]~P122(x86601)+~P24(f337(f337(f252(x86601),x86602),f79(x86601)))+~P24(f337(f337(f252(x86601),f2(x86601)),x86602))+P24(f337(f337(f252(x86601),f337(f337(f82(x86601),x86602),f337(f337(f262(x86601),x86602),x86603))),f337(f337(f262(x86601),x86602),x86603)))
% 198.24/198.42 [8743]~P24(f337(x87431,x87432))+P24(f337(x87431,f2(a884)))+~P24(f337(f337(f252(a884),x87432),x87433))+~P24(f337(x87431,f45(a884,f337(a115,f474(x87432,x87431,x87433)),x87433)))
% 198.24/198.42 [8881]E(f495(x88811,x88812,x88813),f2(a884))+P24(f337(f337(x88811,x88813),x88812))+P24(f337(f337(x88811,f495(x88811,x88812,x88813)),f45(a884,f494(x88811,x88812,x88813),f495(x88811,x88812,x88813))))+~P24(f337(f325(f892(a884,a884),a232),f337(f337(f272(a884,a884),x88813),x88812)))
% 198.24/198.42 [8919]~P21(x89191,x89191,x89192,x89193)+E(f337(f316(x89191,x89191,x89192),x89193),x89193)+~P24(f337(f62(x89191),x89193))+~P24(f337(f337(f251(f893(x89191,a878)),f337(f316(x89191,x89191,x89192),x89193)),x89193))
% 198.24/198.42 [9134]P24(f337(f337(x91341,x91342),x91343))+P24(f337(f337(f252(a1),f804(x91341,x91343,x91342)),f805(x91341,x91343,x91342)))+P24(f337(f337(x91341,f804(x91341,x91343,x91342)),f337(f337(f81(a1),f805(x91341,x91343,x91342)),f79(a1))))+~P24(f337(f325(f892(a1,a1),a135),f337(f337(f272(a1,a1),x91342),x91343)))
% 198.24/198.42 [9153]P24(f337(f337(x91531,x91532),x91533))+~P24(f337(f337(f252(a1),f493(x91531,x91533,x91532)),f2(a1)))+P24(f337(f337(x91531,f337(f80(a1),f492(x91531,x91533,x91532))),f337(f80(a1),f493(x91531,x91533,x91532))))+~P24(f337(f325(f892(a1,a1),a234),f337(f337(f272(a1,a1),x91532),x91533)))
% 198.24/198.42 [9329]P24(f337(f337(x93291,x93292),x93293))+P24(f337(f337(x93291,f337(f337(f81(a1),f692(x93291,x93293,x93292)),f79(a1))),f695(x93291,x93293,x93292)))+~P24(f337(f337(f251(a1),f692(x93291,x93293,x93292)),f695(x93291,x93293,x93292)))+~P24(f337(f325(f892(a1,a1),a186),f337(f337(f272(a1,a1),x93292),x93293)))
% 198.24/198.42 [9754]~P57(x97542)+~P57(x97541)+~P24(f337(f59(f892(x97541,x97542)),x97543))+P24(f337(f59(x97541),f337(f337(f8(f893(x97542,a878),a878,x97541),f59(x97542)),f337(f337(f8(f893(x97542,f892(x97541,x97542)),f893(x97542,a878),x97541),f337(f8(f892(x97541,x97542),a878,x97542),x97543)),f272(x97541,x97542)))))
% 198.24/198.42 [9755]~P57(x97552)+~P57(x97551)+~P24(f337(f58(f892(x97551,x97552)),x97553))+P24(f337(f58(x97551),f337(f337(f8(f893(x97552,a878),a878,x97551),f58(x97552)),f337(f337(f8(f893(x97552,f892(x97551,x97552)),f893(x97552,a878),x97551),f337(f8(f892(x97551,x97552),a878,x97552),x97553)),f272(x97551,x97552)))))
% 198.24/198.42 [9858]~P57(x98582)+~P57(x98581)+P24(f337(f59(f892(x98581,x98582)),x98583))+~P24(f337(f59(x98581),f337(f337(f8(f893(x98582,a878),a878,x98581),f59(x98582)),f337(f337(f8(f893(x98582,f892(x98581,x98582)),f893(x98582,a878),x98581),f337(f8(f892(x98581,x98582),a878,x98582),x98583)),f272(x98581,x98582)))))
% 198.24/198.42 [9859]~P57(x98592)+~P57(x98591)+P24(f337(f58(f892(x98591,x98592)),x98593))+~P24(f337(f58(x98591),f337(f337(f8(f893(x98592,a878),a878,x98591),f58(x98592)),f337(f337(f8(f893(x98592,f892(x98591,x98592)),f893(x98592,a878),x98591),f337(f8(f892(x98591,x98592),a878,x98592),x98593)),f272(x98591,x98592)))))
% 198.24/198.42 [10026]E(f337(x100261,f424(x100262,x100261,x100263)),x100262)+~P24(f337(f337(f251(a1),x100262),f337(x100261,x100263)))+~P24(f337(f337(f251(a1),f337(f76(a1),f337(f337(f22(a1),f337(x100261,f337(f337(f81(a884),f425(x100262,x100261,x100263)),f79(a884)))),f337(x100261,f425(x100262,x100261,x100263))))),f79(a1)))+~P24(f337(f337(f251(a1),f337(x100261,f2(a884))),x100262))
% 198.24/198.42 [10027]E(f337(x100271,f431(x100272,x100271,x100273)),x100272)+~P24(f337(f337(f251(a1),x100272),f337(x100271,x100273)))+~P24(f337(f337(f251(a1),f337(f76(a1),f337(f337(f22(a1),f337(x100271,f337(f337(f81(a884),f432(x100272,x100271,x100273)),f79(a884)))),f337(x100271,f432(x100272,x100271,x100273))))),f79(a1)))+~P24(f337(f337(f251(a1),f337(x100271,f2(a884))),x100272))
% 198.24/198.42 [10031]~P24(f337(f337(f251(a1),x100311),f337(x100312,x100313)))+~P24(f337(f337(f251(a1),f337(f76(a1),f337(f337(f22(a1),f337(x100312,f337(f337(f81(a884),f425(x100311,x100312,x100313)),f79(a884)))),f337(x100312,f425(x100311,x100312,x100313))))),f79(a1)))+P24(f337(f337(f251(a884),f424(x100311,x100312,x100313)),x100313))+~P24(f337(f337(f251(a1),f337(x100312,f2(a884))),x100311))
% 198.24/198.42 [10032]~P24(f337(f337(f251(a1),x100321),f337(x100322,x100323)))+~P24(f337(f337(f251(a1),f337(f76(a1),f337(f337(f22(a1),f337(x100322,f337(f337(f81(a884),f432(x100321,x100322,x100323)),f79(a884)))),f337(x100322,f432(x100321,x100322,x100323))))),f79(a1)))+P24(f337(f337(f251(a884),f431(x100321,x100322,x100323)),x100323))+~P24(f337(f337(f251(a1),f337(x100322,f2(a884))),x100321))
% 198.24/198.42 [10087]E(x100871,x100872)+~E(f337(f144(f885(x100873),f885(x100873),f136(x100873),f116(x100873)),x100871),f337(f144(f885(x100873),f885(x100873),f136(x100873),f116(x100873)),x100872))+~E(f337(f198(f885(f885(x100873))),x100871),f337(f198(f885(f885(x100873))),x100872))+~P24(f337(f337(f276(f885(x100873),f885(x100873),a878),f337(f337(f7(f885(x100873),f893(f885(x100873),a884),f893(f885(x100873),a878)),f337(f337(f8(f893(a884,a878),f893(f893(f885(x100873),a884),f893(f885(x100873),a878)),f885(x100873)),f8(a884,a878,f885(x100873))),f337(f337(f8(a884,f893(a884,a878),f885(x100873)),a334),f198(f885(x100873))))),f198(f885(x100873)))),f736(x100872,x100871,x100873)))
% 198.24/198.42 [10088]E(x100881,x100882)+~E(f337(f144(f885(x100883),f885(x100883),f136(x100883),f116(x100883)),x100881),f337(f144(f885(x100883),f885(x100883),f136(x100883),f116(x100883)),x100882))+~E(f337(f198(f885(f885(x100883))),x100881),f337(f198(f885(f885(x100883))),x100882))+~P24(f337(f337(f276(f885(x100883),f885(x100883),a878),f337(f337(f7(f885(x100883),f893(f885(x100883),a884),f893(f885(x100883),a878)),f337(f337(f8(f893(a884,a878),f893(f893(f885(x100883),a884),f893(f885(x100883),a878)),f885(x100883)),f8(a884,a878,f885(x100883))),f337(f337(f8(a884,f893(a884,a878),f885(x100883)),a334),f198(f885(x100883))))),f198(f885(x100883)))),f737(x100881,x100882,x100883)))
% 198.24/198.42 [6857]~E(f79(a884),f2(a884))+~P24(f337(f62(x68571),x68573))+~P24(f337(f62(x68571),x68572))+E(f337(f337(f81(a884),f337(f38(x68571),x68572)),f337(f38(x68571),x68573)),f337(f38(x68571),f337(f337(f113(f893(x68571,a878)),x68572),x68573)))
% 198.24/198.42 [7271]~P101(x72711)+~P24(f337(f62(x72711),x72712))+~P24(f337(f337(f339(x72711),x72713),x72712))+P24(f337(f337(f251(x72711),f337(f64(x72711,f104(x72711)),x72712)),x72713))
% 198.24/198.42 [7272]~P105(x72721)+~P24(f337(f62(x72721),x72722))+~P24(f337(f337(f339(x72721),x72723),x72722))+P24(f337(f337(f251(x72721),f337(f64(x72721,f249(x72721)),x72722)),x72723))
% 198.24/198.42 [7524]~P24(f337(f62(x75241),x75243))+~P24(f337(f62(x75241),x75242))+~E(f337(f337(f104(f893(x75241,a878)),x75242),x75243),f197(f893(x75241,a878)))+E(f337(f337(f81(a884),f337(f38(x75241),x75242)),f337(f38(x75241),x75243)),f337(f38(x75241),f337(f337(f113(f893(x75241,a878)),x75242),x75243)))
% 198.24/198.42 [8312]~P39(x83121,x83123)+~P39(x83121,x83122)+~E(f337(f337(f104(f893(x83121,a878)),f337(f270(x83121,x83121),x83122)),f337(f268(x83121,x83121),x83123)),f197(f893(x83121,a878)))+P39(x83121,f337(f337(f113(f893(f892(x83121,x83121),a878)),x83122),x83123))
% 198.24/198.42 [8403]E(x84031,f337(f337(f39(a884),x84032),x84033))+~P24(f337(f337(f252(a884),f2(a884)),x84033))+~P24(f337(f337(f252(a884),x84032),f337(f337(f82(a884),x84033),f337(a115,x84031))))+~P24(f337(f337(f251(a884),f337(f337(f82(a884),x84033),x84031)),x84032))
% 198.24/198.42 [8531]~P24(f337(f62(x85311),x85312))+~P24(f337(f62(x85311),x85313))+E(f337(f337(f81(a884),f337(f38(x85311),x85312)),f337(f38(x85311),x85313)),f337(f38(x85311),f337(f337(f113(f893(x85311,a878)),x85312),x85313)))+P24(f337(f337(f339(x85311),f857(x85313,x85312,x85311)),f337(f337(f104(f893(x85311,a878)),x85312),x85313)))
% 198.24/198.42 [8893]~P124(x88932)+~E(x88931,f2(x88932))+~E(x88933,f2(x88932))+~P24(f337(f337(f252(x88932),f2(x88932)),f337(f337(f81(x88932),f337(f337(f82(x88932),x88933),x88933)),f337(f337(f82(x88932),x88931),x88931))))
% 198.24/198.42 [9409]~P39(x94091,x94093)+~P39(x94091,x94092)+P39(x94091,f337(f337(f113(f893(f892(x94091,x94091),a878)),x94092),x94093))+~P24(f337(f337(f251(f893(f892(x94091,x94091),a878)),f337(f337(f294(x94091,x94091,x94091),x94092),x94093)),x94092))
% 198.24/198.42 [9534]~P24(f337(x95341,x95343))+~P24(f337(f62(x95342),x95343))+P24(f337(x95341,f197(f893(x95342,a878))))+~P24(f337(x95341,f337(f337(f22(f893(x95342,a878)),f573(x95341,x95343,x95342)),f337(f337(f315(x95342),f561(x95341,x95343,x95342)),f197(f893(x95342,a878))))))
% 198.24/198.42 [9784]~P57(x97841)+~P57(x97842)+P7(x97841,f337(f337(f8(f893(x97842,x97841),a878,f885(x97841)),x97843),f337(f337(f8(f893(x97842,f887(x97841)),f893(x97842,x97841),f885(x97841)),f74(f887(x97841),x97841,x97842,f248(x97841))),f337(f337(f8(f885(f892(x97842,x97841)),f893(x97842,f887(x97841)),f885(x97841)),f181(x97842,x97841)),f337(f185(x97842,x97841),f56(x97842))))),f337(f198(f885(x97842)),f56(x97842)))+~P24(f337(f58(f893(x97842,x97841)),x97843))
% 198.24/198.42 [9785]~P57(x97851)+~P57(x97852)+P8(x97851,f337(f337(f8(f893(x97852,x97851),a878,f885(x97851)),x97853),f337(f337(f8(f893(x97852,f887(x97851)),f893(x97852,x97851),f885(x97851)),f74(f887(x97851),x97851,x97852,f248(x97851))),f337(f337(f8(f885(f892(x97852,x97851)),f893(x97852,f887(x97851)),f885(x97851)),f181(x97852,x97851)),f337(f185(x97852,x97851),f56(x97852))))),f337(f198(f885(x97852)),f56(x97852)))+~P24(f337(f59(f893(x97852,x97851)),x97853))
% 198.24/198.42 [9880]~P57(x98801)+~P57(x98802)+~P8(x98802,f337(f337(f8(f893(x98801,x98802),a878,f885(x98802)),x98803),f337(f337(f8(f893(x98801,f887(x98802)),f893(x98801,x98802),f885(x98802)),f74(f887(x98802),x98802,x98801,f248(x98802))),f337(f337(f8(f885(f892(x98801,x98802)),f893(x98801,f887(x98802)),f885(x98802)),f181(x98801,x98802)),f337(f185(x98801,x98802),f56(x98801))))),f337(f198(f885(x98801)),f56(x98801)))+P24(f337(f59(f893(x98801,x98802)),x98803))
% 198.24/198.42 [9881]~P57(x98811)+~P57(x98812)+~P7(x98812,f337(f337(f8(f893(x98811,x98812),a878,f885(x98812)),x98813),f337(f337(f8(f893(x98811,f887(x98812)),f893(x98811,x98812),f885(x98812)),f74(f887(x98812),x98812,x98811,f248(x98812))),f337(f337(f8(f885(f892(x98811,x98812)),f893(x98811,f887(x98812)),f885(x98812)),f181(x98811,x98812)),f337(f185(x98811,x98812),f56(x98811))))),f337(f198(f885(x98811)),f56(x98811)))+P24(f337(f58(f893(x98811,x98812)),x98813))
% 198.24/198.42 [8694]~P24(f337(f337(f252(a1),f2(a1)),x86943))+P24(f337(f337(f251(a1),f2(a1)),x86941))+~P24(f337(f337(f252(a1),x86942),x86943))+~P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),f337(f337(f82(a1),x86943),x86941)),x86942)))
% 198.24/198.42 [8717]~P64(x87171)+~P24(f337(f62(x87171),x87172))+E(f337(f337(f22(f893(x87171,a878)),x87172),f337(f337(f315(x87171),x87173),f197(f893(x87171,a878)))),f197(f893(x87171,a878)))+E(f337(f337(f113(x87171),x87173),f13(x87171,f337(f337(f22(f893(x87171,a878)),x87172),f337(f337(f315(x87171),x87173),f197(f893(x87171,a878)))))),f13(x87171,f337(f337(f315(x87171),x87173),x87172)))
% 198.24/198.42 [8718]~P64(x87181)+~P24(f337(f62(x87181),x87182))+E(f337(f337(f22(f893(x87181,a878)),x87182),f337(f337(f315(x87181),x87183),f197(f893(x87181,a878)))),f197(f893(x87181,a878)))+E(f337(f337(f104(x87181),x87183),f10(x87181,f337(f337(f22(f893(x87181,a878)),x87182),f337(f337(f315(x87181),x87183),f197(f893(x87181,a878)))))),f10(x87181,f337(f337(f315(x87181),x87183),x87182)))
% 198.24/198.42 [8719]~P105(x87191)+~P24(f337(f62(x87191),x87192))+E(f337(f337(f22(f893(x87191,a878)),x87192),f337(f337(f315(x87191),x87193),f197(f893(x87191,a878)))),f197(f893(x87191,a878)))+E(f337(f337(f250(x87191),x87193),f14(x87191,f337(f337(f22(f893(x87191,a878)),x87192),f337(f337(f315(x87191),x87193),f197(f893(x87191,a878)))))),f14(x87191,f337(f337(f315(x87191),x87193),x87192)))
% 198.24/198.42 [8720]~P105(x87201)+~P24(f337(f62(x87201),x87202))+E(f337(f337(f22(f893(x87201,a878)),x87202),f337(f337(f315(x87201),x87203),f197(f893(x87201,a878)))),f197(f893(x87201,a878)))+E(f337(f337(f249(x87201),x87203),f15(x87201,f337(f337(f22(f893(x87201,a878)),x87202),f337(f337(f315(x87201),x87203),f197(f893(x87201,a878)))))),f15(x87201,f337(f337(f315(x87201),x87203),x87202)))
% 198.24/198.42 [8784]~P105(x87841)+~P24(f337(f62(x87841),x87842))+E(f337(f337(f22(f893(x87841,a878)),x87842),f337(f337(f315(x87841),x87843),f197(f893(x87841,a878)))),f197(f893(x87841,a878)))+E(f337(f337(f250(x87841),x87843),f11(x87841,f250(x87841),f337(f337(f22(f893(x87841,a878)),x87842),f337(f337(f315(x87841),x87843),f197(f893(x87841,a878)))))),f11(x87841,f250(x87841),f337(f337(f315(x87841),x87843),x87842)))
% 198.24/198.42 [8785]~P105(x87851)+~P24(f337(f62(x87851),x87852))+E(f337(f337(f22(f893(x87851,a878)),x87852),f337(f337(f315(x87851),x87853),f197(f893(x87851,a878)))),f197(f893(x87851,a878)))+E(f337(f337(f249(x87851),x87853),f12(x87851,f249(x87851),f337(f337(f22(f893(x87851,a878)),x87852),f337(f337(f315(x87851),x87853),f197(f893(x87851,a878)))))),f12(x87851,f249(x87851),f337(f337(f315(x87851),x87853),x87852)))
% 198.24/198.42 [9349]E(x93491,x93492)+~E(f337(f144(f885(x93493),f885(x93493),f136(x93493),f116(x93493)),x93491),f337(f144(f885(x93493),f885(x93493),f136(x93493),f116(x93493)),x93492))+~E(f337(f198(f885(f885(x93493))),x93491),f337(f198(f885(f885(x93493))),x93492))+P24(f337(f337(f339(f892(f885(x93493),f885(x93493))),f736(x93492,x93491,x93493)),f337(f175(f892(f885(x93493),f885(x93493))),f337(f337(f185(f885(x93493),f885(x93493)),x93491),x93492))))
% 198.24/198.42 [9350]E(x93501,x93502)+~E(f337(f144(f885(x93503),f885(x93503),f136(x93503),f116(x93503)),x93501),f337(f144(f885(x93503),f885(x93503),f136(x93503),f116(x93503)),x93502))+~E(f337(f198(f885(f885(x93503))),x93501),f337(f198(f885(f885(x93503))),x93502))+P24(f337(f337(f339(f892(f885(x93503),f885(x93503))),f737(x93501,x93502,x93503)),f337(f175(f892(f885(x93503),f885(x93503))),f337(f337(f185(f885(x93503),f885(x93503)),x93502),x93501))))
% 198.24/198.42 [10174]~P98(x101742)+E(x101741,f197(f893(x101742,a878)))+~P24(f337(f62(x101742),x101741))+E(f10(x101742,f337(f257(x101742),f337(f337(f8(f893(x101742,a878),a878,x101742),f88(x101742)),f337(f337(f7(x101742,f893(x101742,a878),f893(x101742,a878)),f337(f337(f8(f893(x101742,f893(a878,a878)),f893(f893(x101742,a878),f893(x101742,a878)),x101742),f18(x101742,a878,a878)),f337(f337(f8(f893(x101742,a878),f893(x101742,f893(a878,a878)),x101742),f337(f8(a878,f893(a878,a878),x101742),a335)),f337(f337(f7(x101742,f893(x101742,x101742),f893(x101742,a878)),f337(f337(f8(f893(x101742,a878),f893(f893(x101742,x101742),f893(x101742,a878)),x101742),f8(x101742,a878,x101742)),a334)),f337(f113(x101742),x101743))))),f337(f337(f7(x101742,f893(x101742,a878),a878),f339(x101742)),x101741))))),f337(f337(f113(x101742),x101743),f10(x101742,x101741)))
% 198.24/198.42 [10175]~P98(x101752)+E(x101751,f197(f893(x101752,a878)))+~P24(f337(f62(x101752),x101751))+E(f13(x101752,f337(f257(x101752),f337(f337(f8(f893(x101752,a878),a878,x101752),f88(x101752)),f337(f337(f7(x101752,f893(x101752,a878),f893(x101752,a878)),f337(f337(f8(f893(x101752,f893(a878,a878)),f893(f893(x101752,a878),f893(x101752,a878)),x101752),f18(x101752,a878,a878)),f337(f337(f8(f893(x101752,a878),f893(x101752,f893(a878,a878)),x101752),f337(f8(a878,f893(a878,a878),x101752),a335)),f337(f337(f7(x101752,f893(x101752,x101752),f893(x101752,a878)),f337(f337(f8(f893(x101752,a878),f893(f893(x101752,x101752),f893(x101752,a878)),x101752),f8(x101752,a878,x101752)),a334)),f337(f104(x101752),x101753))))),f337(f337(f7(x101752,f893(x101752,a878),a878),f339(x101752)),x101751))))),f337(f337(f104(x101752),x101753),f13(x101752,x101751)))
% 198.24/198.42 [10176]~P77(x101762)+E(x101761,f197(f893(x101762,a878)))+~P24(f337(f62(x101762),x101761))+E(f14(x101762,f337(f257(x101762),f337(f337(f8(f893(x101762,a878),a878,x101762),f88(x101762)),f337(f337(f7(x101762,f893(x101762,a878),f893(x101762,a878)),f337(f337(f8(f893(x101762,f893(a878,a878)),f893(f893(x101762,a878),f893(x101762,a878)),x101762),f18(x101762,a878,a878)),f337(f337(f8(f893(x101762,a878),f893(x101762,f893(a878,a878)),x101762),f337(f8(a878,f893(a878,a878),x101762),a335)),f337(f337(f7(x101762,f893(x101762,x101762),f893(x101762,a878)),f337(f337(f8(f893(x101762,a878),f893(f893(x101762,x101762),f893(x101762,a878)),x101762),f8(x101762,a878,x101762)),a334)),f337(f81(x101762),x101763))))),f337(f337(f7(x101762,f893(x101762,a878),a878),f339(x101762)),x101761))))),f337(f337(f81(x101762),x101763),f14(x101762,x101761)))
% 198.24/198.42 [10177]~P77(x101772)+E(x101771,f197(f893(x101772,a878)))+~P24(f337(f62(x101772),x101771))+E(f15(x101772,f337(f257(x101772),f337(f337(f8(f893(x101772,a878),a878,x101772),f88(x101772)),f337(f337(f7(x101772,f893(x101772,a878),f893(x101772,a878)),f337(f337(f8(f893(x101772,f893(a878,a878)),f893(f893(x101772,a878),f893(x101772,a878)),x101772),f18(x101772,a878,a878)),f337(f337(f8(f893(x101772,a878),f893(x101772,f893(a878,a878)),x101772),f337(f8(a878,f893(a878,a878),x101772),a335)),f337(f337(f7(x101772,f893(x101772,x101772),f893(x101772,a878)),f337(f337(f8(f893(x101772,a878),f893(f893(x101772,x101772),f893(x101772,a878)),x101772),f8(x101772,a878,x101772)),a334)),f337(f81(x101772),x101773))))),f337(f337(f7(x101772,f893(x101772,a878),a878),f339(x101772)),x101771))))),f337(f337(f81(x101772),x101773),f15(x101772,x101771)))
% 198.24/198.42 [10178]~P105(x101782)+E(x101781,f197(f893(x101782,a878)))+~P24(f337(f62(x101782),x101781))+E(f11(x101782,f250(x101782),f337(f257(x101782),f337(f337(f8(f893(x101782,a878),a878,x101782),f88(x101782)),f337(f337(f7(x101782,f893(x101782,a878),f893(x101782,a878)),f337(f337(f8(f893(x101782,f893(a878,a878)),f893(f893(x101782,a878),f893(x101782,a878)),x101782),f18(x101782,a878,a878)),f337(f337(f8(f893(x101782,a878),f893(x101782,f893(a878,a878)),x101782),f337(f8(a878,f893(a878,a878),x101782),a335)),f337(f337(f7(x101782,f893(x101782,x101782),f893(x101782,a878)),f337(f337(f8(f893(x101782,a878),f893(f893(x101782,x101782),f893(x101782,a878)),x101782),f8(x101782,a878,x101782)),a334)),f337(f249(x101782),x101783))))),f337(f337(f7(x101782,f893(x101782,a878),a878),f339(x101782)),x101781))))),f337(f337(f249(x101782),x101783),f11(x101782,f250(x101782),x101781)))
% 198.24/198.42 [10179]~P105(x101792)+E(x101791,f197(f893(x101792,a878)))+~P24(f337(f62(x101792),x101791))+E(f12(x101792,f249(x101792),f337(f257(x101792),f337(f337(f8(f893(x101792,a878),a878,x101792),f88(x101792)),f337(f337(f7(x101792,f893(x101792,a878),f893(x101792,a878)),f337(f337(f8(f893(x101792,f893(a878,a878)),f893(f893(x101792,a878),f893(x101792,a878)),x101792),f18(x101792,a878,a878)),f337(f337(f8(f893(x101792,a878),f893(x101792,f893(a878,a878)),x101792),f337(f8(a878,f893(a878,a878),x101792),a335)),f337(f337(f7(x101792,f893(x101792,x101792),f893(x101792,a878)),f337(f337(f8(f893(x101792,a878),f893(f893(x101792,x101792),f893(x101792,a878)),x101792),f8(x101792,a878,x101792)),a334)),f337(f250(x101792),x101793))))),f337(f337(f7(x101792,f893(x101792,a878),a878),f339(x101792)),x101791))))),f337(f337(f250(x101792),x101793),f12(x101792,f249(x101792),x101791)))
% 198.24/198.42 [9930]~P116(x99301)+~E(x99303,f2(x99301))+~E(x99302,f2(x99301))+E(f337(f337(f81(x99301),f337(f337(f262(x99301),x99302),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x99301),x99303),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f2(x99301))
% 198.24/198.42 [10071]~P122(x100711)+~P24(f337(f337(f251(x100711),f2(x100711)),x100713))+P24(f337(f337(f251(x100711),x100712),x100713))+~P24(f337(f337(f251(x100711),f337(f337(f262(x100711),x100712),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x100711),x100713),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))))
% 198.24/198.42 [10117]~P116(x101172)+~E(x101171,f2(x101172))+~E(x101173,f2(x101172))+~P24(f337(f337(f252(x101172),f2(x101172)),f337(f337(f81(x101172),f337(f337(f262(x101172),x101173),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100))))),f337(f337(f262(x101172),x101171),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))))
% 198.24/198.42 [9313]E(x93131,x93132)+~E(f713(x93131,x93132,x93134,x93133),f716(x93131,x93132,x93134,x93133))+P24(f337(f337(f339(f892(f885(x93133),f885(x93133))),f337(f337(f272(f885(x93133),f885(x93133)),x93132),x93131)),f149(x93133,x93134)))+P24(f337(f337(f339(f892(f885(x93133),f885(x93133))),f337(f337(f272(f885(x93133),f885(x93133)),x93131),x93132)),f149(x93133,x93134)))
% 198.24/198.42 [4904]~P58(x49042)+~E(x49044,f2(x49042))+~E(x49041,f2(x49042))+E(x49041,f337(f337(f295(x49042),x49043),x49044))
% 198.24/198.42 [4905]~P58(x49051)+~E(x49053,f2(x49051))+~E(x49054,f2(x49051))+E(f337(f337(f295(x49051),x49052),x49053),x49054)
% 198.24/198.42 [5016]~P58(x50162)+E(x50161,f2(x50162))+~E(x50163,f2(x50162))+~E(x50161,f337(f337(f295(x50162),x50164),x50163))
% 198.24/198.42 [5017]~P58(x50172)+E(x50171,f2(x50172))+~E(x50173,f2(x50172))+~E(f337(f337(f295(x50172),x50174),x50173),x50171)
% 198.24/198.42 [5195]~P118(x51952)+E(x51951,f2(x51952))+~E(f337(f337(f295(x51952),x51953),x51951),x51954)+E(x51953,f337(f337(f82(x51952),x51954),x51951))
% 198.24/198.42 [5197]~P118(x51972)+E(x51971,f2(x51972))+~E(f337(f337(f82(x51972),x51973),x51971),x51974)+E(x51973,f337(f337(f295(x51972),x51974),x51971))
% 198.24/198.42 [5198]~P58(x51982)+E(x51981,f2(x51982))+~E(f337(f337(f295(x51982),x51983),x51981),x51984)+E(x51983,f337(f337(f82(x51982),x51984),x51981))
% 198.24/198.42 [5199]~P58(x51992)+E(x51991,f2(x51992))+~E(f337(f337(f82(x51992),x51993),x51991),x51994)+E(x51993,f337(f337(f295(x51992),x51994),x51991))
% 198.24/198.42 [5200]~P118(x52002)+E(x52001,f2(x52002))+~E(x52003,f337(f337(f295(x52002),x52004),x52001))+E(f337(f337(f82(x52002),x52003),x52001),x52004)
% 198.24/198.42 [5202]~P118(x52022)+E(x52021,f2(x52022))+~E(x52023,f337(f337(f82(x52022),x52024),x52021))+E(f337(f337(f295(x52022),x52023),x52021),x52024)
% 198.24/198.42 [5203]~P58(x52032)+E(x52031,f2(x52032))+~E(x52033,f337(f337(f295(x52032),x52034),x52031))+E(f337(f337(f82(x52032),x52033),x52031),x52034)
% 198.24/198.42 [5204]~P58(x52042)+E(x52041,f2(x52042))+~E(x52043,f337(f337(f82(x52042),x52044),x52041))+E(f337(f337(f295(x52042),x52043),x52041),x52044)
% 198.24/198.42 [5236]~P58(x52362)+~E(x52361,f2(x52362))+~E(f337(f337(f82(x52362),x52361),x52364),x52363)+E(x52361,f337(f337(f295(x52362),x52363),x52364))
% 198.24/198.42 [5237]~P58(x52371)+~E(x52374,f2(x52371))+~E(x52372,f337(f337(f82(x52371),x52374),x52373))+E(f337(f337(f295(x52371),x52372),x52373),x52374)
% 198.24/198.42 [5312]~E(x53123,x53124)+~E(x53122,x53123)+~P106(x53121)+E(f308(x53121,x53122,x53123),f337(f337(f315(x53121),x53124),f197(f893(x53121,a878))))
% 198.24/198.42 [5518]~E(f146(x55182,x55181),x55184)+~E(f117(x55182,x55181),x55183)+E(x55181,f116(x55182))+E(f337(f337(f136(x55182),x55183),f337(f337(f153(x55182),x55184),f116(x55182))),x55181)
% 198.24/198.42 [6135]~P122(x61353)+E(x61351,x61352)+~E(f337(f337(f262(x61353),x61354),x61351),f337(f337(f262(x61353),x61354),x61352))+~P24(f337(f337(f252(x61353),f79(x61353)),x61354))
% 198.24/198.42 [6136]E(x61361,x61362)+~E(f337(f337(f315(x61363),x61364),x61361),f337(f337(f315(x61363),x61364),x61362))+P24(f337(f337(f339(x61363),x61364),x61362))+P24(f337(f337(f339(x61363),x61364),x61361))
% 198.24/198.42 [6174]E(f337(x61741,x61742),f79(a884))+~E(f337(f337(f9(x61743,a884),x61741),x61744),f79(a884))+~P24(f337(f62(x61743),x61744))+~P24(f337(f337(f339(x61743),x61742),x61744))
% 198.24/198.42 [6175]E(f337(x61751,x61752),f2(a884))+~E(f337(f337(f6(x61753,a884),x61751),x61754),f2(a884))+~P24(f337(f62(x61753),x61754))+~P24(f337(f337(f339(x61753),x61752),x61754))
% 198.24/198.42 [6397]~P106(x63971)+~P24(f337(f337(f251(x63971),x63974),x63973))+P24(f337(f337(f251(x63971),x63972),x63973))+~P24(f337(f337(f251(x63971),x63972),x63974))
% 198.24/198.42 [6398]~P62(x63981)+~P24(f337(f337(f251(x63981),x63982),x63984))+P24(f337(f337(f251(x63981),x63982),x63983))+~P24(f337(f337(f251(x63981),x63984),x63983))
% 198.24/198.42 [6399]~P106(x63991)+~P24(f337(f337(f252(x63991),x63994),x63993))+P24(f337(f337(f252(x63991),x63992),x63993))+~P24(f337(f337(f251(x63991),x63992),x63994))
% 198.24/198.42 [6400]~P106(x64001)+~P24(f337(f337(f252(x64001),x64002),x64004))+P24(f337(f337(f252(x64001),x64002),x64003))+~P24(f337(f337(f251(x64001),x64004),x64003))
% 198.24/198.42 [6401]~P106(x64011)+~P24(f337(f337(f252(x64011),x64014),x64013))+P24(f337(f337(f252(x64011),x64012),x64013))+~P24(f337(f337(f252(x64011),x64012),x64014))
% 198.24/198.42 [6402]~P62(x64021)+~P24(f337(f337(f252(x64021),x64022),x64024))+P24(f337(f337(f252(x64021),x64022),x64023))+~P24(f337(f337(f251(x64021),x64024),x64023))
% 198.24/198.42 [6403]~P62(x64031)+~P24(f337(f337(f252(x64031),x64034),x64033))+P24(f337(f337(f252(x64031),x64032),x64033))+~P24(f337(f337(f251(x64031),x64032),x64034))
% 198.24/198.42 [6404]~P62(x64041)+~P24(f337(f337(f252(x64041),x64042),x64044))+P24(f337(f337(f252(x64041),x64042),x64043))+~P24(f337(f337(f252(x64041),x64044),x64043))
% 198.24/198.42 [6485]~P37(x64854,x64853,x64852)+E(x64851,f796(x64852,x64853,x64854))+~P24(f337(x64853,x64851))+~P24(f337(f337(f339(x64854),x64851),f337(f175(x64854),x64852)))
% 198.24/198.42 [6486]~P37(x64864,x64863,x64862)+E(x64861,f798(x64862,x64863,x64864))+~P24(f337(x64863,x64861))+~P24(f337(f337(f339(x64864),x64861),f337(f175(x64864),x64862)))
% 198.24/198.42 [6633]~P28(x66331)+~P24(f337(f337(f251(x66331),x66332),f41(x66331,x66334)))+P24(f337(f337(f251(x66331),x66332),x66333))+~P24(f337(f337(f339(x66331),x66333),x66334))
% 198.24/198.42 [6778]~P105(x67781)+~P30(x67781,f337(f337(f153(x67781),x67782),x67784))+~P24(f337(f337(f339(x67781),x67783),f337(f175(x67781),x67784)))+P24(f337(f337(f251(x67781),x67782),x67783))
% 198.24/198.42 [6868]~P28(x68681)+~P24(f337(f337(f251(x68681),f40(x68681,x68684)),x68683))+P24(f337(f337(f251(x68681),x68682),x68683))+~P24(f337(f337(f339(x68681),x68682),x68684))
% 198.24/198.42 [7274]~P105(x72741)+E(f337(f337(f113(f893(x72741,a878)),f337(f307(x72741,x72742),x72743)),f337(f307(x72741,x72743),x72744)),f337(f307(x72741,x72742),x72744))+~P24(f337(f337(f251(x72741),x72743),x72744))+~P24(f337(f337(f251(x72741),x72742),x72743))
% 198.24/198.42 [7313]P37(x73131,x73132,x73133)+~E(f800(x73133,x73132,x73131,x73134),x73134)+~P24(f337(x73132,x73134))+~P24(f337(f337(f339(x73131),x73134),f337(f175(x73131),x73133)))
% 198.24/198.42 [7314]P37(x73141,x73142,x73143)+~E(f810(x73143,x73142,x73141,x73144),x73144)+~P24(f337(x73142,x73144))+~P24(f337(f337(f339(x73141),x73144),f337(f175(x73141),x73143)))
% 198.24/198.42 [7388]~P105(x73881)+E(f337(f337(f113(f893(x73881,a878)),f337(f307(x73881,x73882),x73883)),f308(x73881,x73883,x73884)),f308(x73881,x73882,x73884))+~P24(f337(f337(f251(x73881),x73883),x73884))+~P24(f337(f337(f251(x73881),x73882),x73883))
% 198.24/198.42 [7451]~P105(x74511)+E(f337(f337(f113(f893(x74511,a878)),f311(x74511,x74512,x74513)),f337(f307(x74511,x74513),x74514)),f311(x74511,x74512,x74514))+~P24(f337(f337(f251(x74511),x74513),x74514))+~P24(f337(f337(f252(x74511),x74512),x74513))
% 198.24/198.42 [7472]~P105(x74721)+E(f337(f337(f113(f893(x74721,a878)),f308(x74721,x74722,x74723)),f311(x74721,x74723,x74724)),f337(f307(x74721,x74722),x74724))+~P24(f337(f337(f251(x74721),x74722),x74723))+~P24(f337(f337(f252(x74721),x74723),x74724))
% 198.24/198.42 [7504]~P105(x75041)+E(f337(f337(f113(f893(x75041,a878)),f308(x75041,x75042,x75043)),f310(x75041,x75043,x75044)),f308(x75041,x75042,x75044))+~P24(f337(f337(f251(x75041),x75043),x75044))+~P24(f337(f337(f251(x75041),x75042),x75043))
% 198.24/198.42 [7505]~P105(x75051)+E(f337(f337(f113(f893(x75051,a878)),f311(x75051,x75052,x75053)),f308(x75051,x75053,x75054)),f310(x75051,x75052,x75054))+~P24(f337(f337(f251(x75051),x75053),x75054))+~P24(f337(f337(f252(x75051),x75052),x75053))
% 198.24/198.42 [7506]~P105(x75061)+E(f337(f337(f113(f893(x75061,a878)),f310(x75061,x75062,x75063)),f311(x75061,x75063,x75064)),f311(x75061,x75062,x75064))+~P24(f337(f337(f251(x75061),x75062),x75063))+~P24(f337(f337(f252(x75061),x75063),x75064))
% 198.24/198.42 [7507]~P105(x75071)+E(f337(f337(f113(f893(x75071,a878)),f310(x75071,x75072,x75073)),f310(x75071,x75073,x75074)),f310(x75071,x75072,x75074))+~P24(f337(f337(f251(x75071),x75073),x75074))+~P24(f337(f337(f251(x75071),x75072),x75073))
% 198.24/198.42 [8296]P21(x82961,x82962,f518(x82963,x82962,x82964,x82961),x82964)+~P24(f337(f62(x82962),x82963))+~P24(f337(f62(x82961),x82964))+~P24(f337(f337(f251(a884),f337(f38(x82961),x82964)),f337(f38(x82962),x82963)))
% 198.24/198.42 [8317]P37(x83171,x83172,x83173)+~P24(f337(x83172,x83174))+P24(f337(x83172,f800(x83173,x83172,x83171,x83174)))+~P24(f337(f337(f339(x83171),x83174),f337(f175(x83171),x83173)))
% 198.24/198.42 [8318]P37(x83181,x83182,x83183)+~P24(f337(x83182,x83184))+P24(f337(x83182,f810(x83183,x83182,x83181,x83184)))+~P24(f337(f337(f339(x83181),x83184),f337(f175(x83181),x83183)))
% 198.24/198.42 [8367]~P74(x83671)+~E(f337(x83673,f841(x83673,x83674,x83672,x83671)),f79(x83671))+E(f337(f337(f337(f66(x83671,x83672,f82(x83671)),x83673),f79(x83671)),x83674),f79(x83671))+~P24(f337(f62(x83672),x83674))
% 198.24/198.42 [8627]~P122(x86271)+~P24(f337(f337(f251(x86271),f2(x86271)),x86273))+P24(f337(f337(f251(x86271),x86272),x86273))+~P24(f337(f337(f251(x86271),f337(f337(f262(x86271),x86272),f337(a115,x86274))),f337(f337(f262(x86271),x86273),f337(a115,x86274))))
% 198.24/198.42 [8920]P37(x89201,x89202,x89203)+~P24(f337(x89202,x89204))+~P24(f337(f337(f339(x89201),x89204),f337(f175(x89201),x89203)))+P24(f337(f337(f339(x89201),f800(x89203,x89202,x89201,x89204)),f337(f175(x89201),x89203)))
% 198.24/198.42 [8921]P37(x89211,x89212,x89213)+~P24(f337(x89212,x89214))+~P24(f337(f337(f339(x89211),x89214),f337(f175(x89211),x89213)))+P24(f337(f337(f339(x89211),f810(x89213,x89212,x89211,x89214)),f337(f175(x89211),x89213)))
% 198.24/198.42 [8998]~P74(x89981)+E(f337(f337(f337(f66(x89981,x89982,f82(x89981)),x89983),f79(x89981)),x89984),f79(x89981))+~P24(f337(f62(x89982),x89984))+P24(f337(f337(f339(x89982),f841(x89983,x89984,x89982,x89981)),x89984))
% 198.24/198.42 [9477]~P24(f337(f337(f251(a1),x94774),f2(a1)))+P24(f337(f337(f251(a1),f337(f337(f81(a1),f337(f337(f82(a1),x94771),f45(a1,x94772,x94773))),x94774)),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x94773))+~P24(f337(f337(f252(a1),x94771),x94774))
% 198.24/198.42 [9923]~P24(f337(f62(x99231),x99232))+~P24(f337(f337(f339(x99231),x99234),x99232))+~P24(f337(f337(f339(x99231),x99233),x99232))+P24(f337(f337(f252(a884),f337(f38(x99231),f337(f337(f22(f893(x99231,a878)),f337(f337(f22(f893(x99231,a878)),x99232),f337(f337(f315(x99231),x99233),f197(f893(x99231,a878))))),f337(f337(f315(x99231),x99234),f197(f893(x99231,a878)))))),f337(f38(x99231),x99232)))
% 198.24/198.42 [6983]~P101(x69831)+~P24(f337(f337(f251(x69831),x69832),x69834))+~P24(f337(f337(f251(x69831),x69832),x69833))+P24(f337(f337(f251(x69831),x69832),f337(f337(f104(x69831),x69833),x69834)))
% 198.24/198.42 [6986]~P105(x69861)+~P24(f337(f337(f251(x69861),x69862),x69864))+~P24(f337(f337(f251(x69861),x69862),x69863))+P24(f337(f337(f251(x69861),x69862),f337(f337(f249(x69861),x69863),x69864)))
% 198.24/198.42 [6987]~P105(x69871)+~P24(f337(f337(f252(x69871),x69872),x69874))+~P24(f337(f337(f252(x69871),x69872),x69873))+P24(f337(f337(f252(x69871),x69872),f337(f337(f249(x69871),x69873),x69874)))
% 198.24/198.42 [7006]~P59(x70062)+E(x70061,f2(x70062))+E(f337(f337(f295(x70062),f337(f337(f262(x70062),x70061),x70063)),f337(f337(f262(x70062),x70061),x70064)),f337(f337(f262(x70062),x70061),f337(f337(f22(a884),x70063),x70064)))+~P24(f337(f337(f251(a884),x70064),x70063))
% 198.24/198.42 [7051]~P105(x70511)+~P30(x70511,f337(f337(f153(x70511),x70513),x70514))+P30(x70511,f337(f337(f153(x70511),x70512),f337(f337(f153(x70511),x70513),x70514)))+~P24(f337(f337(f251(x70511),x70512),x70513))
% 198.24/198.42 [7091]~P88(x70911)+~P24(f337(f337(f251(x70911),f2(x70911)),x70914))+~P24(f337(f337(f251(x70911),x70912),x70913))+P24(f337(f337(f251(x70911),x70912),f337(f337(f81(x70911),x70913),x70914)))
% 198.24/198.42 [7092]~P88(x70921)+~P24(f337(f337(f251(x70921),f2(x70921)),x70923))+~P24(f337(f337(f251(x70921),x70922),x70924))+P24(f337(f337(f251(x70921),x70922),f337(f337(f81(x70921),x70923),x70924)))
% 198.24/198.42 [7093]~P122(x70931)+~P24(f337(f337(f252(x70931),f2(x70931)),x70933))+~P24(f337(f337(f252(x70931),x70932),x70934))+P24(f337(f337(f252(x70931),x70932),f337(f337(f81(x70931),x70933),x70934)))
% 198.24/198.42 [7094]~P88(x70941)+~P24(f337(f337(f251(x70941),x70942),x70944))+~P24(f337(f337(f252(x70941),f2(x70941)),x70943))+P24(f337(f337(f252(x70941),x70942),f337(f337(f81(x70941),x70943),x70944)))
% 198.24/198.42 [7095]~P88(x70951)+~P24(f337(f337(f251(x70951),f2(x70951)),x70953))+~P24(f337(f337(f252(x70951),x70952),x70954))+P24(f337(f337(f252(x70951),x70952),f337(f337(f81(x70951),x70953),x70954)))
% 198.24/198.42 [7135]~P105(x71351)+P24(f337(f337(f251(x71351),x71352),x71353))+P24(f337(f337(f251(x71351),x71352),x71354))+~P24(f337(f337(f251(x71351),x71352),f337(f337(f250(x71351),x71354),x71353)))
% 198.24/198.42 [7136]~P105(x71361)+P24(f337(f337(f252(x71361),x71362),x71363))+P24(f337(f337(f252(x71361),x71362),x71364))+~P24(f337(f337(f252(x71361),x71362),f337(f337(f250(x71361),x71364),x71363)))
% 198.24/198.42 [7424]~P106(x74242)+~P57(x74241)+~P24(f337(f337(f252(f893(x74241,x74242)),x74243),x74244))+P24(f337(f337(f251(f893(x74241,x74242)),x74243),x74244))
% 198.24/198.42 [7795]~P61(x77951)+~P24(f337(f337(f252(x77951),x77954),f2(x77951)))+~P24(f337(f337(f251(x77951),x77953),f337(f337(f295(x77951),x77952),x77954)))+P24(f337(f337(f251(x77951),x77952),f337(f337(f82(x77951),x77953),x77954)))
% 198.24/198.42 [7796]~P61(x77961)+~P24(f337(f337(f252(x77961),x77964),f2(x77961)))+~P24(f337(f337(f251(x77961),x77963),f337(f337(f82(x77961),x77962),x77964)))+P24(f337(f337(f251(x77961),x77962),f337(f337(f295(x77961),x77963),x77964)))
% 198.24/198.42 [7797]~P61(x77971)+~P24(f337(f337(f252(x77971),x77974),f2(x77971)))+~P24(f337(f337(f252(x77971),x77973),f337(f337(f295(x77971),x77972),x77974)))+P24(f337(f337(f252(x77971),x77972),f337(f337(f82(x77971),x77973),x77974)))
% 198.24/198.42 [7798]~P61(x77981)+~P24(f337(f337(f252(x77981),x77984),f2(x77981)))+~P24(f337(f337(f252(x77981),x77983),f337(f337(f82(x77981),x77982),x77984)))+P24(f337(f337(f252(x77981),x77982),f337(f337(f295(x77981),x77983),x77984)))
% 198.24/198.42 [7903]~P109(x79031)+~P24(f337(f337(f251(x79031),x79032),f2(x79031)))+~P24(f337(f337(f251(x79031),x79034),x79033))+P24(f337(f337(f251(x79031),f337(f337(f82(x79031),x79032),x79033)),f337(f337(f82(x79031),x79032),x79034)))
% 198.24/198.42 [7904]~P124(x79041)+~P24(f337(f337(f252(x79041),x79042),f2(x79041)))+~P24(f337(f337(f251(x79041),x79044),x79043))+P24(f337(f337(f251(x79041),f337(f337(f82(x79041),x79042),x79043)),f337(f337(f82(x79041),x79042),x79044)))
% 198.24/198.42 [7905]~P109(x79051)+~P24(f337(f337(f251(x79051),x79053),f2(x79051)))+~P24(f337(f337(f251(x79051),x79054),x79052))+P24(f337(f337(f251(x79051),f337(f337(f82(x79051),x79052),x79053)),f337(f337(f82(x79051),x79054),x79053)))
% 198.24/198.42 [7906]~P60(x79061)+~P24(f337(f337(f251(x79061),x79063),f2(x79061)))+~P24(f337(f337(f251(x79061),x79064),x79062))+P24(f337(f337(f251(x79061),f337(f337(f295(x79061),x79062),x79063)),f337(f337(f295(x79061),x79064),x79063)))
% 198.24/198.42 [7910]~P124(x79101)+~P24(f337(f337(f252(x79101),x79103),f2(x79101)))+~P24(f337(f337(f252(x79101),x79104),x79102))+P24(f337(f337(f252(x79101),f337(f337(f82(x79101),x79102),x79103)),f337(f337(f82(x79101),x79104),x79103)))
% 198.24/198.42 [7911]~P124(x79111)+~P24(f337(f337(f252(x79111),x79112),f2(x79111)))+~P24(f337(f337(f252(x79111),x79114),x79113))+P24(f337(f337(f252(x79111),f337(f337(f82(x79111),x79112),x79113)),f337(f337(f82(x79111),x79112),x79114)))
% 198.24/198.42 [7912]~P61(x79121)+~P24(f337(f337(f252(x79121),x79123),f2(x79121)))+~P24(f337(f337(f252(x79121),x79124),x79122))+P24(f337(f337(f252(x79121),f337(f337(f295(x79121),x79122),x79123)),f337(f337(f295(x79121),x79124),x79123)))
% 198.24/198.42 [7913]~P122(x79131)+~P24(f337(f337(f252(x79131),f79(x79131)),x79132))+~P24(f337(f337(f251(a884),x79133),x79134))+P24(f337(f337(f251(x79131),f337(f337(f262(x79131),x79132),x79133)),f337(f337(f262(x79131),x79132),x79134)))
% 198.24/198.42 [7914]~P122(x79141)+~P24(f337(f337(f251(x79141),f79(x79141)),x79142))+~P24(f337(f337(f251(a884),x79143),x79144))+P24(f337(f337(f251(x79141),f337(f337(f262(x79141),x79142),x79143)),f337(f337(f262(x79141),x79142),x79144)))
% 198.24/198.42 [7916]~P122(x79161)+~P24(f337(f337(f252(x79161),f79(x79161)),x79162))+~P24(f337(f337(f252(a884),x79163),x79164))+P24(f337(f337(f252(x79161),f337(f337(f262(x79161),x79162),x79163)),f337(f337(f262(x79161),x79162),x79164)))
% 198.24/198.42 [7943]P24(f337(f337(f252(a884),f2(a884)),f337(x79431,x79432)))+~P24(f337(f62(x79433),x79434))+~P24(f337(f337(f339(x79433),x79432),x79434))+~P24(f337(f337(f252(a884),f2(a884)),f337(f337(f9(x79433,a884),x79431),x79434)))
% 198.24/198.42 [7951]~P124(x79511)+~P24(f337(f337(f252(x79511),f2(x79511)),x79512))+~P24(f337(f337(f251(x79511),x79513),x79514))+P24(f337(f337(f251(x79511),f337(f337(f82(x79511),x79512),x79513)),f337(f337(f82(x79511),x79512),x79514)))
% 198.24/198.42 [7952]~P133(x79521)+~P24(f337(f337(f251(x79521),x79523),x79524))+~P24(f337(f337(f251(x79521),f2(x79521)),x79522))+P24(f337(f337(f251(x79521),f337(f337(f82(x79521),x79522),x79523)),f337(f337(f82(x79521),x79522),x79524)))
% 198.24/198.42 [7953]~P132(x79531)+~P24(f337(f337(f251(x79531),x79533),x79534))+~P24(f337(f337(f251(x79531),f2(x79531)),x79532))+P24(f337(f337(f251(x79531),f337(f337(f82(x79531),x79532),x79533)),f337(f337(f82(x79531),x79532),x79534)))
% 198.24/198.42 [7954]~P133(x79541)+~P24(f337(f337(f251(x79541),x79542),x79544))+~P24(f337(f337(f251(x79541),f2(x79541)),x79543))+P24(f337(f337(f251(x79541),f337(f337(f82(x79541),x79542),x79543)),f337(f337(f82(x79541),x79544),x79543)))
% 198.24/198.42 [7955]~P122(x79551)+~P24(f337(f337(f251(x79551),x79552),x79554))+~P24(f337(f337(f251(x79551),f2(x79551)),x79552))+P24(f337(f337(f251(x79551),f337(f337(f262(x79551),x79552),x79553)),f337(f337(f262(x79551),x79554),x79553)))
% 198.24/198.42 [7956]~P60(x79561)+~P24(f337(f337(f251(x79561),x79562),x79564))+~P24(f337(f337(f251(x79561),f2(x79561)),x79563))+P24(f337(f337(f251(x79561),f337(f337(f295(x79561),x79562),x79563)),f337(f337(f295(x79561),x79564),x79563)))
% 198.24/198.42 [7958]~P129(x79581)+~P24(f337(f337(f252(x79581),x79583),x79584))+~P24(f337(f337(f252(x79581),f2(x79581)),x79582))+P24(f337(f337(f252(x79581),f337(f337(f82(x79581),x79582),x79583)),f337(f337(f82(x79581),x79582),x79584)))
% 198.24/198.42 [7959]~P120(x79591)+~P24(f337(f337(f252(x79591),x79593),x79594))+~P24(f337(f337(f252(x79591),f2(x79591)),x79592))+P24(f337(f337(f252(x79591),f337(f337(f82(x79591),x79592),x79593)),f337(f337(f82(x79591),x79592),x79594)))
% 198.24/198.42 [7960]~P124(x79601)+~P24(f337(f337(f252(x79601),x79602),x79604))+~P24(f337(f337(f252(x79601),f2(x79601)),x79603))+P24(f337(f337(f252(x79601),f337(f337(f82(x79601),x79602),x79603)),f337(f337(f82(x79601),x79604),x79603)))
% 198.24/198.42 [7961]~P129(x79611)+~P24(f337(f337(f252(x79611),x79612),x79614))+~P24(f337(f337(f252(x79611),f2(x79611)),x79613))+P24(f337(f337(f252(x79611),f337(f337(f82(x79611),x79612),x79613)),f337(f337(f82(x79611),x79614),x79613)))
% 198.24/198.42 [7962]~P124(x79621)+~P24(f337(f337(f252(x79621),x79623),x79624))+~P24(f337(f337(f252(x79621),f2(x79621)),x79622))+P24(f337(f337(f252(x79621),f337(f337(f82(x79621),x79622),x79623)),f337(f337(f82(x79621),x79622),x79624)))
% 198.24/198.42 [7963]~P61(x79631)+~P24(f337(f337(f252(x79631),x79632),x79634))+~P24(f337(f337(f252(x79631),f2(x79631)),x79633))+P24(f337(f337(f252(x79631),f337(f337(f295(x79631),x79632),x79633)),f337(f337(f295(x79631),x79634),x79633)))
% 198.24/198.42 [8006]~P107(x80062)+P24(f337(f337(f252(f893(x80061,x80062)),x80064),x80063))+~P24(f337(f337(f251(f893(x80061,x80062)),x80064),x80063))+P24(f337(f337(f251(f893(x80061,x80062)),x80063),x80064))
% 198.24/198.42 [8047]P24(f337(f337(f339(x80471),x80472),x80473))+P24(f337(f337(f339(x80471),x80472),x80474))+~P24(f337(f337(f251(f893(x80471,a878)),x80474),x80473))+P24(f337(f337(f252(f893(x80471,a878)),x80474),f337(f337(f315(x80471),x80472),x80473)))
% 198.24/198.42 [8202]P24(f337(f337(f339(x82021),x82022),x82023))+P24(f337(f337(f339(x82021),x82022),x82024))+~P24(f337(f337(f252(f893(x82021,a878)),x82024),f337(f337(f315(x82021),x82022),x82023)))+P24(f337(f337(f251(f893(x82021,a878)),x82024),x82023))
% 198.24/198.42 [8210]~P57(x82101)+P7(x82101,x82102,x82103)+~P24(f337(x82102,x82104))+~P24(f337(f337(f339(f885(x82101)),x82104),f337(f175(f885(x82101)),f55(x82101,x82103,f56(x82101)))))
% 198.24/198.42 [8220]~P8(x82203,x82201,x82204)+~P57(x82203)+P24(f337(x82201,x82202))+~P24(f337(f337(f339(f885(x82203)),x82202),f337(f175(f885(x82203)),f55(x82203,x82204,f56(x82203)))))
% 198.24/198.42 [8273]~P124(x82731)+P24(f337(f337(f252(x82731),x82733),x82732))+P24(f337(f337(f252(x82731),x82732),x82733))+~P24(f337(f337(f252(x82731),f337(f337(f82(x82731),x82734),x82732)),f337(f337(f82(x82731),x82734),x82733)))
% 198.24/198.42 [8274]~P124(x82741)+P24(f337(f337(f252(x82741),x82743),x82742))+P24(f337(f337(f252(x82741),x82742),x82743))+~P24(f337(f337(f252(x82741),f337(f337(f82(x82741),x82742),x82744)),f337(f337(f82(x82741),x82743),x82744)))
% 198.24/198.42 [8285]~P124(x82851)+P24(f337(f337(f252(x82851),x82854),f2(x82851)))+P24(f337(f337(f252(x82851),x82852),x82853))+~P24(f337(f337(f252(x82851),f337(f337(f82(x82851),x82852),x82854)),f337(f337(f82(x82851),x82853),x82854)))
% 198.24/198.42 [8286]~P124(x82861)+P24(f337(f337(f252(x82861),x82864),f2(x82861)))+P24(f337(f337(f252(x82861),x82862),x82863))+~P24(f337(f337(f252(x82861),f337(f337(f82(x82861),x82864),x82862)),f337(f337(f82(x82861),x82864),x82863)))
% 198.24/198.42 [8290]~P124(x82901)+P24(f337(f337(f252(x82901),x82902),x82903))+P24(f337(f337(f252(x82901),f2(x82901)),x82904))+~P24(f337(f337(f252(x82901),f337(f337(f82(x82901),x82904),x82903)),f337(f337(f82(x82901),x82904),x82902)))
% 198.24/198.42 [8291]~P124(x82911)+P24(f337(f337(f252(x82911),x82912),x82913))+P24(f337(f337(f252(x82911),f2(x82911)),x82914))+~P24(f337(f337(f252(x82911),f337(f337(f82(x82911),x82913),x82914)),f337(f337(f82(x82911),x82912),x82914)))
% 198.24/198.42 [8304]~P124(x83041)+P24(f337(f337(f252(x83041),x83042),f2(x83041)))+P24(f337(f337(f252(x83041),f2(x83041)),x83042))+~P24(f337(f337(f252(x83041),f337(f337(f82(x83041),x83043),x83042)),f337(f337(f82(x83041),x83044),x83042)))
% 198.24/198.42 [8305]~P124(x83051)+P24(f337(f337(f252(x83051),x83052),f2(x83051)))+P24(f337(f337(f252(x83051),f2(x83051)),x83052))+~P24(f337(f337(f252(x83051),f337(f337(f82(x83051),x83052),x83053)),f337(f337(f82(x83051),x83052),x83054)))
% 198.24/198.42 [8332]~P124(x83321)+~P24(f337(f337(f252(x83321),x83324),f2(x83321)))+P24(f337(f337(f251(x83321),x83322),x83323))+~P24(f337(f337(f251(x83321),f337(f337(f82(x83321),x83324),x83323)),f337(f337(f82(x83321),x83324),x83322)))
% 198.24/198.42 [8333]~P124(x83331)+~P24(f337(f337(f252(x83331),x83334),f2(x83331)))+P24(f337(f337(f252(x83331),x83332),x83333))+~P24(f337(f337(f252(x83331),f337(f337(f82(x83331),x83334),x83333)),f337(f337(f82(x83331),x83334),x83332)))
% 198.24/198.42 [8343]~P122(x83433)+~P24(f337(f337(f252(x83433),f79(x83433)),x83434))+P24(f337(f337(f251(a884),x83431),x83432))+~P24(f337(f337(f251(x83433),f337(f337(f262(x83433),x83434),x83431)),f337(f337(f262(x83433),x83434),x83432)))
% 198.24/198.42 [8345]~P122(x83453)+~P24(f337(f337(f252(x83453),f79(x83453)),x83454))+P24(f337(f337(f252(a884),x83451),x83452))+~P24(f337(f337(f252(x83453),f337(f337(f262(x83453),x83454),x83451)),f337(f337(f262(x83453),x83454),x83452)))
% 198.24/198.42 [8355]~P124(x83551)+P24(f337(f337(f251(x83551),x83552),x83553))+~P24(f337(f337(f252(x83551),f2(x83551)),x83554))+~P24(f337(f337(f251(x83551),f337(f337(f82(x83551),x83554),x83552)),f337(f337(f82(x83551),x83554),x83553)))
% 198.24/198.42 [8356]~P129(x83561)+P24(f337(f337(f251(x83561),x83562),x83563))+~P24(f337(f337(f252(x83561),f2(x83561)),x83564))+~P24(f337(f337(f251(x83561),f337(f337(f82(x83561),x83564),x83562)),f337(f337(f82(x83561),x83564),x83563)))
% 198.24/198.42 [8357]~P129(x83571)+P24(f337(f337(f251(x83571),x83572),x83573))+~P24(f337(f337(f252(x83571),f2(x83571)),x83574))+~P24(f337(f337(f251(x83571),f337(f337(f82(x83571),x83572),x83574)),f337(f337(f82(x83571),x83573),x83574)))
% 198.24/198.42 [8358]~P124(x83581)+P24(f337(f337(f252(x83581),x83582),x83583))+~P24(f337(f337(f252(x83581),f2(x83581)),x83584))+~P24(f337(f337(f252(x83581),f337(f337(f82(x83581),x83584),x83582)),f337(f337(f82(x83581),x83584),x83583)))
% 198.24/198.42 [8359]~P129(x83591)+P24(f337(f337(f252(x83591),x83592),x83593))+~P24(f337(f337(f251(x83591),f2(x83591)),x83594))+~P24(f337(f337(f252(x83591),f337(f337(f82(x83591),x83594),x83592)),f337(f337(f82(x83591),x83594),x83593)))
% 198.24/198.42 [8360]~P126(x83601)+P24(f337(f337(f252(x83601),x83602),x83603))+~P24(f337(f337(f251(x83601),f2(x83601)),x83604))+~P24(f337(f337(f252(x83601),f337(f337(f82(x83601),x83604),x83602)),f337(f337(f82(x83601),x83604),x83603)))
% 198.24/198.42 [8361]~P122(x83611)+~P24(f337(f337(f251(x83611),f2(x83611)),x83613))+P24(f337(f337(f252(x83611),x83612),x83613))+~P24(f337(f337(f252(x83611),f337(f337(f262(x83611),x83612),x83614)),f337(f337(f262(x83611),x83613),x83614)))
% 198.24/198.42 [8362]~P129(x83621)+P24(f337(f337(f252(x83621),x83622),x83623))+~P24(f337(f337(f251(x83621),f2(x83621)),x83624))+~P24(f337(f337(f252(x83621),f337(f337(f82(x83621),x83622),x83624)),f337(f337(f82(x83621),x83623),x83624)))
% 198.24/198.42 [8363]~P126(x83631)+P24(f337(f337(f252(x83631),x83632),x83633))+~P24(f337(f337(f251(x83631),f2(x83631)),x83634))+~P24(f337(f337(f252(x83631),f337(f337(f82(x83631),x83632),x83634)),f337(f337(f82(x83631),x83633),x83634)))
% 198.24/198.42 [8406]P24(f337(f337(f339(x84061),x84062),x84063))+~P24(f337(f337(f251(f893(x84061,a878)),x84063),x84064))+~P24(f337(f337(f252(f893(x84061,a878)),x84063),x84064))+P24(f337(f337(f252(f893(x84061,a878)),x84063),f337(f337(f315(x84061),x84062),x84064)))
% 198.24/198.42 [8650]~P57(x86501)+~P95(x86502)+~E(f337(x86503,f802(x86504,x86503,x86501,x86502)),f337(x86504,f802(x86504,x86503,x86501,x86502)))+P24(f337(f337(f92(f893(x86501,x86502)),x86503),x86504))
% 198.24/198.42 [8764]E(f337(f337(f22(a1),f397(x87641,x87642,x87643,x87644)),f398(x87641,x87642,x87643,x87644)),x87644)+~P24(f337(f337(f252(a1),f2(a1)),x87643))+~P24(f337(f337(f251(a1),x87641),x87644))+P24(f337(f337(f251(a1),x87641),f337(f337(f81(a1),x87644),x87643)))
% 198.24/198.42 [8765]E(f337(f337(f22(a1),f407(x87651,x87652,x87653,x87654)),f408(x87651,x87652,x87653,x87654)),x87654)+~P24(f337(f337(f252(a1),f2(a1)),x87653))+~P24(f337(f337(f252(a1),x87651),x87654))+P24(f337(f337(f252(a1),x87651),f337(f337(f81(a1),x87654),x87653)))
% 198.24/198.42 [8900]~E(f337(f337(f167(x89001),x89003),f718(x89004,x89003,x89001,x89002)),f337(f337(f167(x89001),x89004),f718(x89004,x89003,x89001,x89002)))+E(f337(f337(f178(x89001),x89002),x89003),f337(f337(f178(x89001),x89002),x89004))+~P24(f337(f337(f251(a884),x89002),f337(f198(f885(x89001)),x89003)))+~P24(f337(f337(f251(a884),x89002),f337(f198(f885(x89001)),x89004)))
% 198.24/198.42 [8970]~P24(f337(f337(f252(a1),f2(a1)),x89703))+~P24(f337(f337(f251(a1),x89701),x89704))+P24(f337(f337(f339(a1),f397(x89701,x89702,x89703,x89704)),x89702))+P24(f337(f337(f251(a1),x89701),f337(f337(f81(a1),x89704),x89703)))
% 198.24/198.42 [8971]~P24(f337(f337(f252(a1),f2(a1)),x89713))+~P24(f337(f337(f252(a1),x89711),x89714))+P24(f337(f337(f339(a1),f407(x89711,x89712,x89713,x89714)),x89712))+P24(f337(f337(f252(a1),x89711),f337(f337(f81(a1),x89714),x89713)))
% 198.24/198.42 [9007]~P101(x90071)+~P24(f337(f62(x90071),x90073))+~P24(f337(f337(f339(x90071),x90074),x90073))+P24(f337(f337(f251(x90071),f337(f337(f65(x90071,x90071,f104(x90071)),x90072),x90073)),f337(f337(f104(x90071),x90074),x90072)))
% 198.24/198.42 [9008]~P105(x90081)+~P24(f337(f62(x90081),x90083))+~P24(f337(f337(f339(x90081),x90084),x90083))+P24(f337(f337(f251(x90081),f337(f337(f65(x90081,x90081,f249(x90081)),x90082),x90083)),f337(f337(f249(x90081),x90084),x90082)))
% 198.24/198.42 [9054]E(f337(f337(f178(x90541),x90542),x90543),f337(f337(f178(x90541),x90542),x90544))+P24(f337(f337(f252(a884),f718(x90543,x90544,x90541,x90542)),x90542))+~P24(f337(f337(f251(a884),x90542),f337(f198(f885(x90541)),x90543)))+~P24(f337(f337(f251(a884),x90542),f337(f198(f885(x90541)),x90544)))
% 198.24/198.42 [9059]~P24(f337(f337(f252(a1),f2(a1)),x90593))+~P24(f337(f337(f251(a1),x90591),x90592))+P24(f337(f337(f339(a1),f398(x90591,x90594,x90593,x90592)),f308(a1,f79(a1),x90593)))+P24(f337(f337(f251(a1),x90591),f337(f337(f81(a1),x90592),x90593)))
% 198.24/198.42 [9060]~P24(f337(f337(f252(a1),f2(a1)),x90603))+~P24(f337(f337(f252(a1),x90601),x90602))+P24(f337(f337(f339(a1),f408(x90601,x90604,x90603,x90602)),f308(a1,f79(a1),x90603)))+P24(f337(f337(f252(a1),x90601),f337(f337(f81(a1),x90602),x90603)))
% 198.24/198.42 [9222]~E(f337(f181(x92221,x92222),x92223),f337(f181(x92221,x92222),x92224))+E(f337(f175(f892(x92221,x92222)),x92223),f337(f175(f892(x92221,x92222)),x92224))+~P24(f337(f139(x92221),f337(f337(f156(f892(x92221,x92222),x92221),f271(x92221,x92222)),x92224)))+~P24(f337(f139(x92221),f337(f337(f156(f892(x92221,x92222),x92221),f271(x92221,x92222)),x92223)))
% 198.24/198.42 [9234]E(f337(f181(x92341,x92342),x92343),f337(f181(x92341,x92342),x92344))+~E(f337(f175(f892(x92341,x92342)),x92343),f337(f175(f892(x92341,x92342)),x92344))+~P24(f337(f139(x92341),f337(f337(f156(f892(x92341,x92342),x92341),f271(x92341,x92342)),x92344)))+~P24(f337(f139(x92341),f337(f337(f156(f892(x92341,x92342),x92341),f271(x92341,x92342)),x92343)))
% 198.24/198.42 [9371]~P105(x93711)+~P24(f337(f62(x93711),x93714))+P24(f337(f337(f339(x93711),f645(x93712,x93713,x93714,x93711)),x93714))+P24(f337(f337(f251(x93711),f337(f337(f65(x93711,x93711,f250(x93711)),x93712),x93714)),f337(f337(f250(x93711),x93713),x93712)))
% 198.24/198.42 [9372]~P100(x93721)+~P24(f337(f62(x93721),x93724))+P24(f337(f337(f339(x93721),f650(x93722,x93723,x93724,x93721)),x93724))+P24(f337(f337(f251(x93721),f337(f337(f65(x93721,x93721,f113(x93721)),x93722),x93724)),f337(f337(f113(x93721),x93723),x93722)))
% 198.24/198.42 [9495]~P100(x94951)+~P24(f337(f62(x94951),x94953))+~P24(f337(f337(f251(x94951),f650(x94952,x94954,x94953,x94951)),x94954))+P24(f337(f337(f251(x94951),f337(f337(f65(x94951,x94951,f113(x94951)),x94952),x94953)),f337(f337(f113(x94951),x94954),x94952)))
% 198.24/198.42 [9496]~P105(x94961)+~P24(f337(f62(x94961),x94963))+~P24(f337(f337(f251(x94961),f645(x94962,x94964,x94963,x94961)),x94964))+P24(f337(f337(f251(x94961),f337(f337(f65(x94961,x94961,f250(x94961)),x94962),x94963)),f337(f337(f250(x94961),x94964),x94962)))
% 198.24/198.42 [9499]~P24(f337(f337(f251(a1),f2(a1)),x94994))+~P24(f337(f337(f252(a1),f2(a1)),x94993))+~P24(f337(f337(f252(a1),x94994),x94991))+P24(f337(f337(f252(a1),f337(f337(f81(a1),f337(f337(f82(a1),x94991),f45(a1,x94992,x94993))),x94994)),f337(f337(f82(a1),x94991),x94993)))
% 198.24/198.42 [9892]E(x98921,x98922)+P24(f337(f337(f339(f892(f885(x98923),f885(x98923))),f337(f337(f272(f885(x98923),f885(x98923)),x98922),x98921)),f149(x98923,x98924)))+P24(f337(f337(f339(f892(f885(x98923),f885(x98923))),f337(f337(f272(f885(x98923),f885(x98923)),x98921),x98922)),f149(x98923,x98924)))+~P24(f337(f337(f339(f892(x98923,x98923)),f337(f337(f272(x98923,x98923),f713(x98921,x98922,x98924,x98923)),f716(x98921,x98922,x98924,x98923))),x98924))
% 198.24/198.42 [9893]E(x98931,x98932)+P24(f337(f337(f339(f892(f885(x98933),f885(x98933))),f337(f337(f272(f885(x98933),f885(x98933)),x98932),x98931)),f149(x98933,x98934)))+P24(f337(f337(f339(f892(f885(x98933),f885(x98933))),f337(f337(f272(f885(x98933),f885(x98933)),x98931),x98932)),f149(x98933,x98934)))+~P24(f337(f337(f339(f892(x98933,x98933)),f337(f337(f272(x98933,x98933),f716(x98931,x98932,x98934,x98933)),f713(x98931,x98932,x98934,x98933))),x98934))
% 198.24/198.42 [7494]~P100(x74941)+~P24(f337(f337(f251(x74941),x74943),x74944))+~P24(f337(f337(f251(x74941),x74942),x74944))+P24(f337(f337(f251(x74941),f337(f337(f113(x74941),x74942),x74943)),x74944))
% 198.24/198.42 [7497]~P105(x74971)+~P24(f337(f337(f251(x74971),x74973),x74974))+~P24(f337(f337(f251(x74971),x74972),x74974))+P24(f337(f337(f251(x74971),f337(f337(f250(x74971),x74972),x74973)),x74974))
% 198.24/198.42 [7498]~P105(x74981)+~P24(f337(f337(f252(x74981),x74983),x74984))+~P24(f337(f337(f252(x74981),x74982),x74984))+P24(f337(f337(f252(x74981),f337(f337(f250(x74981),x74982),x74983)),x74984))
% 198.24/198.42 [7820]~E(x78201,x78203)+E(f141(a884,f337(f307(a884,x78201),x78202)),f337(f337(f153(a884),x78203),x78204))+~E(f141(a884,f337(f307(a884,f337(f337(f81(a884),x78201),f79(a884))),x78202)),x78204)+~P24(f337(f337(f252(a884),x78201),x78202))
% 198.24/198.42 [7829]~P105(x78291)+P24(f337(f337(f251(x78291),x78292),x78293))+P24(f337(f337(f251(x78291),x78294),x78293))+~P24(f337(f337(f251(x78291),f337(f337(f249(x78291),x78294),x78292)),x78293))
% 198.24/198.42 [7830]~P105(x78301)+P24(f337(f337(f252(x78301),x78302),x78303))+P24(f337(f337(f252(x78301),x78304),x78303))+~P24(f337(f337(f252(x78301),f337(f337(f249(x78301),x78304),x78302)),x78303))
% 198.24/198.42 [8103]~P60(x81031)+~P24(f337(f337(f252(x81031),f2(x81031)),x81033))+~P24(f337(f337(f251(x81031),x81032),f337(f337(f295(x81031),x81034),x81033)))+P24(f337(f337(f251(x81031),f337(f337(f82(x81031),x81032),x81033)),x81034))
% 198.24/198.42 [8104]~P61(x81041)+~P24(f337(f337(f252(x81041),f2(x81041)),x81043))+~P24(f337(f337(f251(x81041),x81042),f337(f337(f295(x81041),x81044),x81043)))+P24(f337(f337(f251(x81041),f337(f337(f82(x81041),x81042),x81043)),x81044))
% 198.24/198.42 [8105]~P60(x81051)+~P24(f337(f337(f252(x81051),f2(x81051)),x81053))+~P24(f337(f337(f251(x81051),x81052),f337(f337(f82(x81051),x81054),x81053)))+P24(f337(f337(f251(x81051),f337(f337(f295(x81051),x81052),x81053)),x81054))
% 198.24/198.42 [8107]~P61(x81071)+~P24(f337(f337(f252(x81071),f2(x81071)),x81073))+~P24(f337(f337(f251(x81071),x81072),f337(f337(f82(x81071),x81074),x81073)))+P24(f337(f337(f251(x81071),f337(f337(f295(x81071),x81072),x81073)),x81074))
% 198.24/198.42 [8108]~P60(x81081)+~P24(f337(f337(f252(x81081),f2(x81081)),x81083))+~P24(f337(f337(f252(x81081),x81082),f337(f337(f295(x81081),x81084),x81083)))+P24(f337(f337(f252(x81081),f337(f337(f82(x81081),x81082),x81083)),x81084))
% 198.24/198.42 [8109]~P61(x81091)+~P24(f337(f337(f252(x81091),f2(x81091)),x81093))+~P24(f337(f337(f252(x81091),x81092),f337(f337(f295(x81091),x81094),x81093)))+P24(f337(f337(f252(x81091),f337(f337(f82(x81091),x81092),x81093)),x81094))
% 198.24/198.42 [8110]~P60(x81101)+~P24(f337(f337(f252(x81101),f2(x81101)),x81103))+~P24(f337(f337(f252(x81101),x81102),f337(f337(f82(x81101),x81104),x81103)))+P24(f337(f337(f252(x81101),f337(f337(f295(x81101),x81102),x81103)),x81104))
% 198.24/198.42 [8112]~P61(x81121)+~P24(f337(f337(f252(x81121),f2(x81121)),x81123))+~P24(f337(f337(f252(x81121),x81122),f337(f337(f82(x81121),x81124),x81123)))+P24(f337(f337(f252(x81121),f337(f337(f295(x81121),x81122),x81123)),x81124))
% 198.24/198.42 [8242]~P60(x82421)+~P24(f337(f337(f252(x82421),f2(x82421)),x82424))+P24(f337(f337(f251(x82421),x82422),f337(f337(f82(x82421),x82423),x82424)))+~P24(f337(f337(f251(x82421),f337(f337(f295(x82421),x82422),x82424)),x82423))
% 198.24/198.42 [8243]~P60(x82431)+~P24(f337(f337(f252(x82431),f2(x82431)),x82434))+P24(f337(f337(f251(x82431),x82432),f337(f337(f295(x82431),x82433),x82434)))+~P24(f337(f337(f251(x82431),f337(f337(f82(x82431),x82432),x82434)),x82433))
% 198.24/198.42 [8245]~P61(x82451)+~P24(f337(f337(f252(x82451),f2(x82451)),x82454))+P24(f337(f337(f251(x82451),x82452),f337(f337(f82(x82451),x82453),x82454)))+~P24(f337(f337(f251(x82451),f337(f337(f295(x82451),x82452),x82454)),x82453))
% 198.24/198.42 [8246]~P61(x82461)+~P24(f337(f337(f252(x82461),f2(x82461)),x82464))+P24(f337(f337(f251(x82461),x82462),f337(f337(f295(x82461),x82463),x82464)))+~P24(f337(f337(f251(x82461),f337(f337(f82(x82461),x82462),x82464)),x82463))
% 198.24/198.42 [8247]~P60(x82471)+~P24(f337(f337(f252(x82471),f2(x82471)),x82474))+P24(f337(f337(f252(x82471),x82472),f337(f337(f82(x82471),x82473),x82474)))+~P24(f337(f337(f252(x82471),f337(f337(f295(x82471),x82472),x82474)),x82473))
% 198.24/198.42 [8248]~P60(x82481)+~P24(f337(f337(f252(x82481),f2(x82481)),x82484))+P24(f337(f337(f252(x82481),x82482),f337(f337(f295(x82481),x82483),x82484)))+~P24(f337(f337(f252(x82481),f337(f337(f82(x82481),x82482),x82484)),x82483))
% 198.24/198.42 [8250]~P61(x82501)+~P24(f337(f337(f252(x82501),f2(x82501)),x82504))+P24(f337(f337(f252(x82501),x82502),f337(f337(f82(x82501),x82503),x82504)))+~P24(f337(f337(f252(x82501),f337(f337(f295(x82501),x82502),x82504)),x82503))
% 198.24/198.42 [8251]~P61(x82511)+~P24(f337(f337(f252(x82511),f2(x82511)),x82514))+P24(f337(f337(f252(x82511),x82512),f337(f337(f295(x82511),x82513),x82514)))+~P24(f337(f337(f252(x82511),f337(f337(f82(x82511),x82512),x82514)),x82513))
% 198.24/198.42 [8410]~P61(x84101)+~P24(f337(f337(f252(x84101),x84103),f2(x84101)))+~P24(f337(f337(f251(x84101),f337(f337(f295(x84101),x84104),x84103)),x84102))+P24(f337(f337(f251(x84101),f337(f337(f82(x84101),x84102),x84103)),x84104))
% 198.24/198.42 [8411]~P61(x84111)+~P24(f337(f337(f252(x84111),x84113),f2(x84111)))+~P24(f337(f337(f251(x84111),f337(f337(f82(x84111),x84114),x84113)),x84112))+P24(f337(f337(f251(x84111),f337(f337(f295(x84111),x84112),x84113)),x84114))
% 198.24/198.42 [8412]~P61(x84121)+~P24(f337(f337(f252(x84121),x84123),f2(x84121)))+~P24(f337(f337(f252(x84121),f337(f337(f295(x84121),x84124),x84123)),x84122))+P24(f337(f337(f252(x84121),f337(f337(f82(x84121),x84122),x84123)),x84124))
% 198.24/198.42 [8413]~P61(x84131)+~P24(f337(f337(f252(x84131),x84133),f2(x84131)))+~P24(f337(f337(f252(x84131),f337(f337(f82(x84131),x84134),x84133)),x84132))+P24(f337(f337(f252(x84131),f337(f337(f295(x84131),x84132),x84133)),x84134))
% 198.24/198.42 [8423]~P24(f337(x84231,x84234))+~P24(f337(f337(f252(a884),x84232),f337(f337(f82(a884),x84233),f337(a115,x84234))))+P24(f337(x84231,f337(f337(f39(a884),x84232),x84233)))+~P24(f337(f337(f251(a884),f337(f337(f82(a884),x84233),x84234)),x84232))
% 198.24/198.42 [8624]~P100(x86241)+~P24(f337(f62(x86241),x86244))+~P24(f337(f337(f339(x86241),x86242),x86244))+P24(f337(f337(f251(x86241),f337(f337(f113(x86241),x86242),x86243)),f337(f337(f65(x86241,x86241,f113(x86241)),x86243),x86244)))
% 198.24/198.42 [8625]~P105(x86251)+~P24(f337(f62(x86251),x86254))+~P24(f337(f337(f339(x86251),x86252),x86254))+P24(f337(f337(f251(x86251),f337(f337(f250(x86251),x86252),x86253)),f337(f337(f65(x86251,x86251,f250(x86251)),x86253),x86254)))
% 198.24/198.42 [8766]~P24(f337(f62(x87661),x87662))+E(f337(f38(x87661),f337(f337(f22(f893(x87661,a878)),x87662),f337(f337(f315(x87661),x87663),x87664))),f337(f337(f22(a884),f337(f38(x87661),f337(f337(f22(f893(x87661,a878)),x87662),x87664))),f79(a884)))+P24(f337(f337(f339(x87661),x87663),x87664))+~P24(f337(f337(f339(x87661),x87663),x87662))
% 198.24/198.42 [8836]E(f337(f337(f81(a1),f399(x88361,x88362,x88363,x88364)),f400(x88361,x88362,x88363,x88364)),x88364)+~P24(f337(f337(f252(a1),f2(a1)),x88363))+~P24(f337(f337(f251(a1),x88364),x88361))+P24(f337(f337(f251(a1),f337(f337(f22(a1),x88364),x88363)),x88361))
% 198.24/198.42 [8837]E(f337(f337(f81(a1),f409(x88371,x88372,x88373,x88374)),f410(x88371,x88372,x88373,x88374)),x88374)+~P24(f337(f337(f252(a1),f2(a1)),x88373))+~P24(f337(f337(f252(a1),x88374),x88371))+P24(f337(f337(f252(a1),f337(f337(f22(a1),x88374),x88373)),x88371))
% 198.24/198.42 [9039]~P24(f337(f337(f252(a1),f2(a1)),x90393))+~P24(f337(f337(f251(a1),x90394),x90391))+P24(f337(f337(f339(a1),f399(x90391,x90392,x90393,x90394)),x90392))+P24(f337(f337(f251(a1),f337(f337(f22(a1),x90394),x90393)),x90391))
% 198.24/198.42 [9040]~P24(f337(f337(f252(a1),f2(a1)),x90403))+~P24(f337(f337(f252(a1),x90404),x90401))+P24(f337(f337(f339(a1),f409(x90401,x90402,x90403,x90404)),x90402))+P24(f337(f337(f252(a1),f337(f337(f22(a1),x90404),x90403)),x90401))
% 198.24/198.42 [9124]~P24(f337(f337(f252(a1),f2(a1)),x91242))+~P24(f337(f337(f251(a1),x91241),x91243))+P24(f337(f337(f339(a1),f400(x91243,x91244,x91242,x91241)),f308(a1,f79(a1),x91242)))+P24(f337(f337(f251(a1),f337(f337(f22(a1),x91241),x91242)),x91243))
% 198.24/198.42 [9125]~P24(f337(f337(f252(a1),f2(a1)),x91252))+~P24(f337(f337(f252(a1),x91251),x91253))+P24(f337(f337(f339(a1),f410(x91253,x91254,x91252,x91251)),f308(a1,f79(a1),x91252)))+P24(f337(f337(f252(a1),f337(f337(f22(a1),x91251),x91252)),x91253))
% 198.24/198.42 [9144]~P24(f337(f337(f251(a1),f2(a1)),x91444))+~P24(f337(f337(f252(a1),f2(a1)),x91443))+~P24(f337(f337(f252(a1),x91444),x91441))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),f337(f337(f82(a1),x91441),f45(a1,x91442,x91443))),x91444)))
% 198.24/198.42 [9205]~P101(x92051)+~P24(f337(f62(x92051),x92054))+~P24(f337(f337(f251(x92051),x92052),f649(x92053,x92052,x92054,x92051)))+P24(f337(f337(f251(x92051),f337(f337(f104(x92051),x92052),x92053)),f337(f337(f65(x92051,x92051,f104(x92051)),x92053),x92054)))
% 198.24/198.42 [9206]~P105(x92061)+~P24(f337(f62(x92061),x92064))+~P24(f337(f337(f251(x92061),x92062),f644(x92063,x92062,x92064,x92061)))+P24(f337(f337(f251(x92061),f337(f337(f249(x92061),x92062),x92063)),f337(f337(f65(x92061,x92061,f249(x92061)),x92063),x92064)))
% 198.24/198.42 [9221]~P24(f337(f337(f251(a1),x92214),f2(a1)))+~P24(f337(f337(f252(a1),f2(a1)),x92212))+~P24(f337(f337(f252(a1),x92211),x92214))+P24(f337(f337(f252(a1),f337(f337(f82(a1),x92211),x92212)),f337(f337(f81(a1),f337(f337(f82(a1),x92211),f45(a1,x92213,x92212))),x92214)))
% 198.24/198.42 [9243]P24(f337(f62(x92431),x92432))+~P24(f337(f62(x92431),x92433))+~P24(f337(f337(f339(f893(x92431,a878)),x92432),f337(f337(f61(x92431),x92433),x92434)))+~P24(f337(f337(f251(f893(f892(x92431,x92431),a878)),x92434),f337(f337(f274(x92431,x92431),x92433),f337(f16(f893(x92431,a878),x92431),x92433))))
% 198.24/198.42 [9266]~P105(x92661)+~P24(f337(f62(x92661),x92664))+P24(f337(f337(f339(x92661),f644(x92662,x92663,x92664,x92661)),x92664))+P24(f337(f337(f251(x92661),f337(f337(f249(x92661),x92663),x92662)),f337(f337(f65(x92661,x92661,f249(x92661)),x92662),x92664)))
% 198.24/198.42 [9267]~P101(x92671)+~P24(f337(f62(x92671),x92674))+P24(f337(f337(f339(x92671),f649(x92672,x92673,x92674,x92671)),x92674))+P24(f337(f337(f251(x92671),f337(f337(f104(x92671),x92673),x92672)),f337(f337(f65(x92671,x92671,f104(x92671)),x92672),x92674)))
% 198.24/198.42 [9659]~P24(f337(f62(x96592),x96594))+~P24(f337(f62(x96591),x96593))+~P24(f337(f337(f251(a884),f337(f38(x96592),x96594)),f337(f38(x96591),x96593)))+P24(f337(f337(f251(f893(x96591,a878)),f337(f316(x96592,x96591,f518(x96593,x96591,x96594,x96592)),x96594)),x96593))
% 198.24/198.42 [9312]~P24(f337(f337(f339(x93121),x93122),x93124))+P24(f337(f337(f339(x93121),x93122),x93123))+~P24(f337(f337(f252(f893(x93121,a878)),x93124),f337(f337(f315(x93121),x93122),x93123)))+P24(f337(f337(f252(f893(x93121,a878)),f337(f337(f22(f893(x93121,a878)),x93124),f337(f337(f315(x93121),x93122),f197(f893(x93121,a878))))),x93123))
% 198.24/198.42 [9473]~P24(f337(f337(f339(x94731),x94732),x94734))+P24(f337(f337(f339(x94731),x94732),x94733))+P24(f337(f337(f252(f893(x94731,a878)),x94734),f337(f337(f315(x94731),x94732),x94733)))+~P24(f337(f337(f252(f893(x94731,a878)),f337(f337(f22(f893(x94731,a878)),x94734),f337(f337(f315(x94731),x94732),f197(f893(x94731,a878))))),x94733))
% 198.24/198.42 [9502]P24(f337(f337(f339(x95021),x95022),x95023))+~P24(f337(f337(f251(f893(x95021,a878)),x95024),x95023))+P24(f337(f337(f252(f893(x95021,a878)),x95024),f337(f337(f315(x95021),x95022),x95023)))+~P24(f337(f337(f252(f893(x95021,a878)),f337(f337(f22(f893(x95021,a878)),x95024),f337(f337(f315(x95021),x95022),f197(f893(x95021,a878))))),x95023))
% 198.24/198.42 [9507]~P24(f337(f337(f339(x95071),x95073),x95072))+~P24(f337(f337(f252(f893(x95071,a878)),x95072),x95074))+P24(f337(f337(f252(f893(x95071,a878)),x95072),f337(f337(f315(x95071),x95073),x95074)))+~P24(f337(f337(f252(f893(x95071,a878)),f337(f337(f22(f893(x95071,a878)),x95072),f337(f337(f315(x95071),x95073),f197(f893(x95071,a878))))),x95074))
% 198.24/198.42 [9521]~P24(f337(f337(f251(f893(x95211,a878)),x95212),x95214))+~P24(f337(f337(f252(f893(x95211,a878)),x95212),x95214))+P24(f337(f337(f252(f893(x95211,a878)),x95212),f337(f337(f315(x95211),x95213),x95214)))+~P24(f337(f337(f252(f893(x95211,a878)),f337(f337(f22(f893(x95211,a878)),x95212),f337(f337(f315(x95211),x95213),f197(f893(x95211,a878))))),x95214))
% 198.24/198.42 [9562]~P106(x95622)+~P57(x95621)+~P24(f337(f337(f251(f893(x95621,x95622)),x95623),x95624))+P24(f337(f59(x95621),f337(f337(f18(x95621,x95622,a878),f337(f337(f8(x95622,f893(x95622,a878),x95621),f251(x95622)),x95623)),x95624)))
% 198.24/198.42 [9706]~P106(x97062)+~P57(x97061)+P24(f337(f337(f251(f893(x97061,x97062)),x97063),x97064))+~P24(f337(f59(x97061),f337(f337(f18(x97061,x97062,a878),f337(f337(f8(x97062,f893(x97062,a878),x97061),f251(x97062)),x97063)),x97064)))
% 198.24/198.42 [9878]E(f337(f337(f167(x98781),f337(f337(f167(f885(x98781)),f183(x98781,x98782)),x98783)),x98784),f337(f337(f167(x98781),f337(f337(f167(f885(x98781)),x98782),x98784)),x98783))+~P24(f337(f337(f252(a884),x98783),f337(f198(f885(f885(x98781))),f183(x98781,x98782))))+~P30(a884,f337(f171(a884),f337(f337(f156(f885(x98781),a884),f198(f885(x98781))),x98782)))+~P24(f337(f337(f252(a884),x98784),f337(f198(f885(f885(x98781))),f337(f138(f885(x98781),f337(f337(f8(a884,a878,f885(x98781)),f337(f252(a884),x98783)),f198(f885(x98781)))),x98782))))
% 198.24/198.42 [9905]~P24(f337(f337(f339(f892(a884,a884)),x99054),x99051))+~P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),x99054),x99052)),a35))+~P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x99051),x99053)),a36))+P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x99051),f337(f337(f315(f892(a884,a884)),x99052),x99053))),a36))
% 198.24/198.42 [9906]~P24(f337(f337(f339(f892(a884,a884)),x99064),x99061))+~P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),x99064),x99062)),a71))+~P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x99061),x99063)),a72))+P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x99061),f337(f337(f315(f892(a884,a884)),x99062),x99063))),a72))
% 198.24/198.42 [9791]~P106(x97912)+~P57(x97911)+~P24(f337(f337(f252(f893(x97911,x97912)),x97913),x97914))+P24(f337(f58(x97911),f337(f337(f8(a878,a878,x97911),a332),f337(f337(f18(x97911,x97912,a878),f337(f337(f8(x97912,f893(x97912,a878),x97911),a334),x97913)),x97914))))
% 198.24/198.42 [9919]~P24(f337(f337(f339(f892(a884,a884)),x99194),x99193))+~P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),x99191),x99194)),a71))+~P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x99192),x99193)),a70))+P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),f337(f337(f315(f892(a884,a884)),x99191),x99192)),x99193)),a70))
% 198.24/198.42 [9920]~P24(f337(f337(f339(f892(a884,a884)),x99204),x99203))+~P24(f337(f337(f339(f892(f892(a884,a884),f892(a884,a884))),f337(f337(f272(f892(a884,a884),f892(a884,a884)),x99201),x99204)),a35))+~P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x99202),x99203)),a37))+P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),f337(f337(f315(f892(a884,a884)),x99201),x99202)),x99203)),a37))
% 198.24/198.42 [6084]~P5(x60844,x60841)+~P24(f337(f337(x60841,x60842),x60845))+P24(f337(f337(x60841,x60842),x60843))+~P24(f337(f337(x60841,x60845),x60843))
% 198.24/198.42 [5344]~P67(x53445)+E(x53441,x53442)+~E(x53443,x53444)+~E(f337(f337(f22(x53445),x53443),x53444),f337(f337(f22(x53445),x53441),x53442))
% 198.24/198.42 [6194]~P13(x61945,x61941,x61943)+E(f337(f337(x61941,x61942),f337(x61943,x61944)),f337(x61943,x61944))+~P24(f337(f62(x61945),x61944))+~P24(f337(f337(f339(x61945),x61942),x61944))
% 198.24/198.42 [6388]~P78(x63881)+~E(f337(f337(f22(x63881),x63884),x63885),f337(f337(f22(x63881),x63882),x63883))+~P24(f337(f337(f251(x63881),x63884),x63885))+P24(f337(f337(f251(x63881),x63882),x63883))
% 198.24/198.42 [6390]~P78(x63901)+~E(f337(f337(f22(x63901),x63904),x63905),f337(f337(f22(x63901),x63902),x63903))+~P24(f337(f337(f252(x63901),x63904),x63905))+P24(f337(f337(f252(x63901),x63902),x63903))
% 198.24/198.42 [7355]~E(x73552,f337(f337(f153(x73551),x73554),x73555))+P24(f337(f337(f339(f885(x73551)),x73552),f163(x73551,x73553)))+~P24(f337(f337(f339(f885(x73551)),x73555),f163(x73551,x73553)))+~P24(f337(f337(f339(x73551),x73554),x73553))
% 198.24/198.42 [7771]~E(f337(f198(f885(x77711)),x77713),f337(f198(f885(x77712)),x77714))+~E(f337(f337(f156(f892(x77711,x77712),x77712),f275(x77711,x77712)),x77715),x77714)+~E(f337(f337(f156(f892(x77711,x77712),x77711),f271(x77711,x77712)),x77715),x77713)+E(f337(f337(f185(x77711,x77712),x77713),x77714),x77715)
% 198.24/198.42 [8100]~P106(x81001)+P24(f337(f337(f252(f893(x81001,a878)),f308(x81001,x81002,x81003)),f308(x81001,x81004,x81005)))+~P24(f337(f337(f251(x81001),x81004),x81005))+P24(f337(f337(f251(x81001),x81002),x81003))
% 198.24/198.42 [8194]~P106(x81941)+P24(f337(f337(f251(f893(x81941,a878)),f308(x81941,x81942,x81943)),f308(x81941,x81944,x81945)))+~P24(f337(f337(f251(x81941),x81943),x81945))+~P24(f337(f337(f251(x81941),x81944),x81942))
% 198.24/198.42 [8320]~P105(x83201)+P24(f337(f337(f251(x83201),x83202),x83203))+P24(f337(f337(f251(x83201),x83204),x83203))+~P24(f337(f337(f251(f893(x83201,a878)),f337(f307(x83201,x83203),x83202)),f337(f307(x83201,x83204),x83205)))
% 198.24/198.42 [8321]~P105(x83211)+P24(f337(f337(f251(x83211),x83212),x83213))+P24(f337(f337(f251(x83211),x83212),x83214))+~P24(f337(f337(f251(f893(x83211,a878)),f337(f307(x83211,x83213),x83212)),f337(f307(x83211,x83215),x83214)))
% 198.24/198.42 [8545]~P106(x85451)+~P24(f337(f337(f251(f893(x85451,a878)),f308(x85451,x85454,x85452)),f308(x85451,x85455,x85453)))+P24(f337(f337(f251(x85451),x85452),x85453))+~P24(f337(f337(f251(x85451),x85454),x85452))
% 198.24/198.42 [8546]~P106(x85461)+~P24(f337(f337(f252(f893(x85461,a878)),f308(x85461,x85464,x85462)),f308(x85461,x85465,x85463)))+P24(f337(f337(f251(x85461),x85462),x85463))+~P24(f337(f337(f251(x85461),x85464),x85462))
% 198.24/198.42 [8547]~P106(x85471)+~P24(f337(f337(f251(f893(x85471,a878)),f308(x85471,x85473,x85474)),f308(x85471,x85472,x85475)))+P24(f337(f337(f251(x85471),x85472),x85473))+~P24(f337(f337(f251(x85471),x85473),x85474))
% 198.24/198.42 [8548]~P106(x85481)+~P24(f337(f337(f252(f893(x85481,a878)),f308(x85481,x85483,x85484)),f308(x85481,x85482,x85485)))+P24(f337(f337(f251(x85481),x85482),x85483))+~P24(f337(f337(f251(x85481),x85483),x85484))
% 198.24/198.42 [6083]~P13(x60832,x60835,x60833)+E(x60831,f197(f893(x60832,a878)))+~P24(f337(f62(x60832),x60831))+E(f337(x60833,f337(f337(f315(x60832),x60834),x60831)),f337(f337(x60835,x60834),f337(x60833,x60831)))
% 198.24/198.42 [6855]~E(x68551,x68552)+~E(f337(f337(f104(f893(x68553,a878)),x68554),x68555),f197(f893(x68553,a878)))+~P24(f337(f337(f339(x68553),x68552),x68555))+~P24(f337(f337(f339(x68553),x68551),x68554))
% 198.24/198.42 [6937]~P14(x69372,x69375,x69371)+~P24(f337(f62(x69372),x69374))+E(f337(x69371,f337(f337(f315(x69372),x69373),x69374)),f337(f337(f65(x69372,x69372,x69375),x69373),x69374))+P24(f337(f337(f339(x69372),x69373),x69374))
% 198.24/198.42 [7002]~P70(x70022)+~P24(f337(f62(x70021),x70025))+E(f337(f337(f6(x70021,x70022),x70023),f337(f337(f315(x70021),x70024),x70025)),f337(f337(f81(x70022),f337(x70023,x70024)),f337(f337(f6(x70021,x70022),x70023),x70025)))+P24(f337(f337(f339(x70021),x70024),x70025))
% 198.24/198.42 [7004]~P74(x70042)+~P24(f337(f62(x70041),x70045))+E(f337(f337(f9(x70041,x70042),x70043),f337(f337(f315(x70041),x70044),x70045)),f337(f337(f82(x70042),f337(x70043,x70044)),f337(f337(f9(x70041,x70042),x70043),x70045)))+P24(f337(f337(f339(x70041),x70044),x70045))
% 198.24/198.42 [7509]~P14(x75092,x75095,x75091)+~P24(f337(f62(x75092),x75094))+E(f337(x75091,f337(f337(f315(x75092),x75093),x75094)),x75093)+~E(f337(f337(f22(f893(x75092,a878)),x75094),f337(f337(f315(x75092),x75093),f197(f893(x75092,a878)))),f197(f893(x75092,a878)))
% 198.24/198.42 [7873]~P100(x78731)+~P24(f337(f337(f251(x78731),x78733),x78735))+~P24(f337(f337(f251(x78731),x78732),x78734))+P24(f337(f337(f251(x78731),f337(f337(f113(x78731),x78732),x78733)),f337(f337(f113(x78731),x78734),x78735)))
% 198.24/198.42 [7874]~P101(x78741)+~P24(f337(f337(f251(x78741),x78743),x78745))+~P24(f337(f337(f251(x78741),x78742),x78744))+P24(f337(f337(f251(x78741),f337(f337(f104(x78741),x78742),x78743)),f337(f337(f104(x78741),x78744),x78745)))
% 198.24/198.42 [7875]~P84(x78751)+~P24(f337(f337(f251(x78751),x78753),x78755))+~P24(f337(f337(f251(x78751),x78752),x78754))+P24(f337(f337(f251(x78751),f337(f337(f81(x78751),x78752),x78753)),f337(f337(f81(x78751),x78754),x78755)))
% 198.24/198.42 [7876]~P105(x78761)+~P24(f337(f337(f251(x78761),x78763),x78765))+~P24(f337(f337(f251(x78761),x78762),x78764))+P24(f337(f337(f251(x78761),f337(f337(f249(x78761),x78762),x78763)),f337(f337(f249(x78761),x78764),x78765)))
% 198.24/198.42 [7877]~P105(x78771)+~P24(f337(f337(f251(x78771),x78773),x78775))+~P24(f337(f337(f251(x78771),x78772),x78774))+P24(f337(f337(f251(x78771),f337(f337(f250(x78771),x78772),x78773)),f337(f337(f250(x78771),x78774),x78775)))
% 198.24/198.42 [7878]~P82(x78781)+~P24(f337(f337(f251(x78781),x78783),x78785))+~P24(f337(f337(f252(x78781),x78782),x78784))+P24(f337(f337(f252(x78781),f337(f337(f81(x78781),x78782),x78783)),f337(f337(f81(x78781),x78784),x78785)))
% 198.24/198.42 [7879]~P82(x78791)+~P24(f337(f337(f251(x78791),x78792),x78794))+~P24(f337(f337(f252(x78791),x78793),x78795))+P24(f337(f337(f252(x78791),f337(f337(f81(x78791),x78792),x78793)),f337(f337(f81(x78791),x78794),x78795)))
% 198.24/198.42 [7880]~P82(x78801)+~P24(f337(f337(f252(x78801),x78803),x78805))+~P24(f337(f337(f252(x78801),x78802),x78804))+P24(f337(f337(f252(x78801),f337(f337(f81(x78801),x78802),x78803)),f337(f337(f81(x78801),x78804),x78805)))
% 198.24/198.42 [8017]~P140(x80175)+E(x80171,x80172)+E(x80173,x80174)+~E(f337(f337(f81(x80175),f337(f337(f82(x80175),x80173),x80171)),f337(f337(f82(x80175),x80174),x80172)),f337(f337(f81(x80175),f337(f337(f82(x80175),x80173),x80172)),f337(f337(f82(x80175),x80174),x80171)))
% 198.24/198.42 [8150]P31(x81501,x81502,x81503)+~P23(x81501,x81504,x81505)+~P31(x81501,x81502,f569(x81505,x81504,x81501,x81502))+~P24(f337(f337(f339(f882(x81501)),x81503),x81505))
% 198.24/198.42 [8217]~P105(x82174)+~P24(f337(f139(x82171),x82173))+P24(f337(f337(f339(x82171),x82172),f337(f175(x82171),x82173)))+P24(f337(f139(x82171),f337(f337(f150(x82171,x82174,x82175),x82172),x82173)))
% 198.24/198.42 [8364]~P67(x83641)+E(f337(f337(f22(x83641),f337(f337(f6(a884,x83641),x83642),f337(f307(a884,x83643),x83644))),f337(f337(f6(a884,x83641),x83642),f337(f307(a884,x83643),x83645))),f337(f337(f6(a884,x83641),x83642),f337(f307(a884,x83645),x83644)))+~P24(f337(f337(f251(a884),x83645),x83644))+~P24(f337(f337(f251(a884),x83643),x83645))
% 198.24/198.42 [8365]~P70(x83651)+E(f337(f337(f81(x83651),f337(f337(f6(a884,x83651),x83652),f337(f307(a884,x83653),x83654))),f337(f337(f6(a884,x83651),x83652),f337(f307(a884,x83654),x83655))),f337(f337(f6(a884,x83651),x83652),f337(f307(a884,x83653),x83655)))+~P24(f337(f337(f251(a884),x83654),x83655))+~P24(f337(f337(f251(a884),x83653),x83654))
% 198.24/198.42 [8680]~P59(x86802)+E(x86801,f2(x86802))+E(x86803,f2(x86802))+E(f337(f337(f295(x86802),f337(f337(f22(x86802),f337(f337(f82(x86802),x86804),x86801)),f337(f337(f82(x86802),x86805),x86803))),f337(f337(f82(x86802),x86803),x86801)),f337(f337(f22(x86802),f337(f337(f295(x86802),x86804),x86803)),f337(f337(f295(x86802),x86805),x86801)))
% 198.24/198.42 [8681]~P59(x86812)+E(x86811,f2(x86812))+E(x86813,f2(x86812))+E(f337(f337(f295(x86812),f337(f337(f81(x86812),f337(f337(f82(x86812),x86814),x86811)),f337(f337(f82(x86812),x86815),x86813))),f337(f337(f82(x86812),x86813),x86811)),f337(f337(f81(x86812),f337(f337(f295(x86812),x86814),x86813)),f337(f337(f295(x86812),x86815),x86811)))
% 198.24/198.42 [8690]~E(x86902,f337(x86903,x86901))+E(x86901,f514(x86902,x86903,x86904,x86905))+~P21(x86905,x86904,x86903,f260(f893(x86905,a878)))+~P24(f337(f337(f339(x86904),x86902),f337(f316(x86905,x86904,x86903),f260(f893(x86905,a878)))))
% 198.24/198.42 [8885]~P116(x88851)+~P24(f337(f337(f252(x88851),f337(f76(x88851),x88852)),x88854))+P24(f337(f337(f252(x88851),f337(f337(f82(x88851),f337(f76(x88851),x88852)),f337(f76(x88851),x88853))),f337(f337(f82(x88851),x88854),x88855)))+~P24(f337(f337(f252(x88851),f337(f76(x88851),x88853)),x88855))
% 198.24/198.42 [8902]~P23(x89021,x89025,x89024)+P31(x89021,x89022,x89023)+P24(f337(f337(f339(f882(x89021)),f569(x89024,x89025,x89021,x89022)),x89025))+~P24(f337(f337(f339(f882(x89021)),x89023),x89024))
% 198.24/198.42 [8999]~P21(x89991,x89993,x89995,x89992)+~P24(f337(f62(x89993),x89994))+P24(f337(f337(f251(a884),f337(f38(x89991),x89992)),f337(f38(x89993),x89994)))+~P24(f337(f337(f251(f893(x89993,a878)),f337(f316(x89991,x89993,x89995),x89992)),x89994))
% 198.24/198.42 [9068]~P70(x90682)+~P21(x90681,x90681,x90684,x90685)+~P24(f337(f62(x90681),x90685))+E(f337(f337(f6(x90681,x90682),f337(f74(x90681,x90682,x90681,x90683),x90684)),x90685),f337(f337(f6(x90681,x90682),x90683),f337(f316(x90681,x90681,x90684),x90685)))
% 198.24/198.42 [9069]~P74(x90692)+~P21(x90691,x90691,x90694,x90695)+~P24(f337(f62(x90691),x90695))+E(f337(f337(f9(x90691,x90692),f337(f74(x90691,x90692,x90691,x90693),x90694)),x90695),f337(f337(f9(x90691,x90692),x90693),f337(f316(x90691,x90691,x90694),x90695)))
% 198.24/198.42 [9184]~P39(x91841,x91842)+~P24(f337(f337(f339(x91841),x91843),x91844))+~P24(f337(f337(f339(x91841),x91845),x91844))+~P24(f337(f337(f339(f892(x91841,x91841)),f337(f337(f272(x91841,x91841),x91845),f640(x91842,x91841,x91844))),x91842))
% 198.24/198.42 [9220]~P21(x92202,x92203,x92205,x92201)+E(x92201,f197(f893(x92202,a878)))+E(f337(f316(x92203,x92202,f516(x92204,x92203,x92202,x92201)),x92204),x92201)+~P24(f337(f337(f251(f893(x92203,a878)),f337(f316(x92202,x92203,x92205),x92201)),x92204))
% 198.24/198.42 [9688]~P105(x96885)+~P28(x96885)+P24(f337(f337(f339(x96881),f465(x96882,x96883,x96881,x96884,x96885)),x96883))+~P24(f337(f337(f252(x96885),x96884),f337(f337(f42(x96881,x96885),x96883),x96882)))
% 198.24/198.42 [9693]~P105(x96931)+~P28(x96931)+P24(f337(f337(f252(x96931),x96932),f337(x96933,f465(x96933,x96934,x96935,x96932,x96931))))+~P24(f337(f337(f252(x96931),x96932),f337(f337(f42(x96935,x96931),x96934),x96933)))
% 198.24/198.42 [9771]~P68(x97711)+~P24(f337(f67(x97711,x97711,f82(x97711),x97712,x97713),x97715))+P24(f337(f337(f339(x97711),x97712),x97713))+P24(f337(f67(x97711,x97711,f82(x97711),x97714,f337(f337(f315(x97711),x97712),x97713)),f337(f337(f82(x97711),x97714),x97715)))
% 198.24/198.42 [9987]~P70(x99872)+~P24(f337(f62(x99871),x99875))+E(f337(f337(f6(x99871,x99872),f337(f337(f7(x99871,x99872,x99872),f337(f337(f18(x99871,x99872,f893(x99872,x99872)),f337(f337(f8(a878,f893(x99872,f893(x99872,x99872)),x99871),f99(x99872)),f337(a334,x99873))),x99874)),f2(x99872))),x99875),f2(x99872))+P24(f337(f337(f339(x99871),x99873),x99875))
% 198.24/198.42 [9988]~P74(x99882)+~P24(f337(f62(x99881),x99885))+E(f337(f337(f9(x99881,x99882),f337(f337(f7(x99881,x99882,x99882),f337(f337(f18(x99881,x99882,f893(x99882,x99882)),f337(f337(f8(a878,f893(x99882,f893(x99882,x99882)),x99881),f99(x99882)),f337(a334,x99883))),x99884)),f79(x99882))),x99885),f79(x99882))+P24(f337(f337(f339(x99881),x99883),x99885))
% 198.24/198.42 [9989]~P70(x99892)+~P24(f337(f62(x99891),x99895))+E(f337(f337(f6(x99891,x99892),f337(f337(f7(x99891,x99892,x99892),f337(f337(f18(x99891,x99892,f893(x99892,x99892)),f337(f337(f8(a878,f893(x99892,f893(x99892,x99892)),x99891),f99(x99892)),f337(a334,x99893))),x99894)),f2(x99892))),x99895),f337(x99894,x99893))+~P24(f337(f337(f339(x99891),x99893),x99895))
% 198.24/198.42 [9990]~P74(x99902)+~P24(f337(f62(x99901),x99905))+E(f337(f337(f9(x99901,x99902),f337(f337(f7(x99901,x99902,x99902),f337(f337(f18(x99901,x99902,f893(x99902,x99902)),f337(f337(f8(a878,f893(x99902,f893(x99902,x99902)),x99901),f99(x99902)),f337(a334,x99903))),x99904)),f79(x99902))),x99905),f337(x99904,x99903))+~P24(f337(f337(f339(x99901),x99903),x99905))
% 198.24/198.42 [10045]~P70(x100452)+~P24(f337(f62(x100451),x100455))+E(f337(f337(f6(x100451,x100452),f337(f337(f7(x100451,x100452,x100452),f337(f337(f18(x100451,x100452,f893(x100452,x100452)),f337(f337(f8(a878,f893(x100452,f893(x100452,x100452)),x100451),f99(x100452)),f337(f337(f7(x100451,x100451,a878),a334),x100453))),x100454)),f2(x100452))),x100455),f2(x100452))+P24(f337(f337(f339(x100451),x100453),x100455))
% 198.24/198.42 [10046]~P74(x100462)+~P24(f337(f62(x100461),x100465))+E(f337(f337(f9(x100461,x100462),f337(f337(f7(x100461,x100462,x100462),f337(f337(f18(x100461,x100462,f893(x100462,x100462)),f337(f337(f8(a878,f893(x100462,f893(x100462,x100462)),x100461),f99(x100462)),f337(f337(f7(x100461,x100461,a878),a334),x100463))),x100464)),f79(x100462))),x100465),f79(x100462))+P24(f337(f337(f339(x100461),x100463),x100465))
% 198.24/198.42 [10048]~P70(x100482)+~P24(f337(f62(x100481),x100485))+E(f337(f337(f6(x100481,x100482),f337(f337(f7(x100481,x100482,x100482),f337(f337(f18(x100481,x100482,f893(x100482,x100482)),f337(f337(f8(a878,f893(x100482,f893(x100482,x100482)),x100481),f99(x100482)),f337(f337(f7(x100481,x100481,a878),a334),x100483))),x100484)),f2(x100482))),x100485),f337(x100484,x100483))+~P24(f337(f337(f339(x100481),x100483),x100485))
% 198.24/198.42 [10049]~P74(x100492)+~P24(f337(f62(x100491),x100495))+E(f337(f337(f9(x100491,x100492),f337(f337(f7(x100491,x100492,x100492),f337(f337(f18(x100491,x100492,f893(x100492,x100492)),f337(f337(f8(a878,f893(x100492,f893(x100492,x100492)),x100491),f99(x100492)),f337(f337(f7(x100491,x100491,a878),a334),x100493))),x100494)),f79(x100492))),x100495),f337(x100494,x100493))+~P24(f337(f337(f339(x100491),x100493),x100495))
% 198.24/198.42 [7872]~P67(x78722)+~P24(f337(f62(x78721),x78724))+E(f337(f337(f6(x78721,x78722),x78723),f337(f337(f22(f893(x78721,a878)),x78724),f337(f337(f315(x78721),x78725),f197(f893(x78721,a878))))),f337(f337(f6(x78721,x78722),x78723),x78724))+P24(f337(f337(f339(x78721),x78725),x78724))
% 198.24/198.42 [8370]~P108(x83702)+~P24(f337(f62(x83701),x83704))+E(f337(f337(f6(x83701,x83702),x83703),f337(f337(f22(f893(x83701,a878)),x83704),f337(f337(f315(x83701),x83705),f197(f893(x83701,a878))))),f337(f337(f22(x83702),f337(f337(f6(x83701,x83702),x83703),x83704)),f337(x83703,x83705)))+~P24(f337(f337(f339(x83701),x83705),x83704))
% 198.24/198.42 [8371]~P67(x83712)+~P24(f337(f62(x83711),x83714))+E(f337(f337(f6(x83711,x83712),x83713),f337(f337(f22(f893(x83711,a878)),x83714),f337(f337(f315(x83711),x83715),f197(f893(x83711,a878))))),f337(f337(f22(x83712),f337(f337(f6(x83711,x83712),x83713),x83714)),f337(x83713,x83715)))+~P24(f337(f337(f339(x83711),x83715),x83714))
% 198.24/198.42 [8402]~P67(x84021)+~P24(f337(f62(x84022),x84024))+E(f337(f337(f22(x84021),f337(f337(f6(x84022,x84021),x84023),x84024)),f337(f337(f6(x84022,x84021),x84023),x84025)),f337(f337(f6(x84022,x84021),x84023),f337(f337(f22(f893(x84022,a878)),x84024),x84025)))+~P24(f337(f337(f251(f893(x84022,a878)),x84025),x84024))
% 198.24/198.42 [8422]P24(f337(f62(x84221),f337(x84222,x84223)))+~P24(f337(f62(x84224),x84225))+~P24(f337(f337(f339(x84224),x84223),x84225))+~P24(f337(f62(x84221),f337(f337(f42(x84224,f893(x84221,a878)),x84225),x84222)))
% 198.24/198.42 [8848]~P6(x88481,x88485,x88484)+~E(f337(f291(x88481,x88481,x88484),f337(f337(f315(x88481),x88482),f197(f893(x88481,a878)))),f337(f291(x88481,x88481,x88484),f337(f337(f315(x88481),x88483),f197(f893(x88481,a878)))))+~P24(f337(f337(f339(x88481),x88483),x88485))+P24(f337(f337(f339(f892(x88481,x88481)),f337(f337(f272(x88481,x88481),x88482),x88483)),x88484))
% 198.24/198.42 [9142]~P24(f337(x91421,x91425))+P24(f337(x91421,f858(x91421,x91422,x91423,x91424)))+P24(f337(x91421,f847(x91421,x91422,x91423,x91424)))+~P24(f337(f337(f339(x91424),x91425),f337(f337(f113(f893(x91424,a878)),x91423),x91422)))
% 198.24/198.42 [9317]~P24(f337(x93171,x93175))+P24(f337(x93171,f847(x93171,x93172,x93173,x93174)))+P24(f337(f337(f339(x93174),f858(x93171,x93172,x93173,x93174)),x93172))+~P24(f337(f337(f339(x93174),x93175),f337(f337(f113(f893(x93174,a878)),x93173),x93172)))
% 198.24/198.42 [9318]~P24(f337(x93181,x93185))+P24(f337(x93181,f858(x93181,x93182,x93183,x93184)))+P24(f337(f337(f339(x93184),f847(x93181,x93182,x93183,x93184)),x93183))+~P24(f337(f337(f339(x93184),x93185),f337(f337(f113(f893(x93184,a878)),x93183),x93182)))
% 198.24/198.42 [9322]P24(f337(x93221,x93222))+~P24(f337(x93221,f370(x93221,x93223,x93224,x93225)))+~P24(f337(x93221,f361(x93221,x93223,x93224,x93225)))+~P24(f337(f337(f339(x93225),x93222),f337(f337(f113(f893(x93225,a878)),x93224),x93223)))
% 198.24/198.42 [9364]E(x93641,x93642)+~P24(f337(f337(f339(f892(x93643,x93643)),f337(f337(f272(x93643,x93643),x93641),x93642)),f313(x93643,x93645)))+P24(f337(f337(f339(x93643),x93641),x93644))+~P24(f337(f337(f251(f893(f892(x93643,x93643),a878)),x93645),f337(f337(f274(x93643,x93643),x93644),f337(f16(f893(x93643,a878),x93643),x93644))))
% 198.24/198.42 [9384]P24(f337(x93841,x93842))+~P24(f337(x93841,f361(x93841,x93844,x93845,x93843)))+P24(f337(f337(f339(x93843),f370(x93841,x93844,x93845,x93843)),x93844))+~P24(f337(f337(f339(x93843),x93842),f337(f337(f113(f893(x93843,a878)),x93845),x93844)))
% 198.24/198.42 [9385]P24(f337(x93851,x93852))+~P24(f337(x93851,f370(x93851,x93854,x93855,x93853)))+P24(f337(f337(f339(x93853),f361(x93851,x93854,x93855,x93853)),x93855))+~P24(f337(f337(f339(x93853),x93852),f337(f337(f113(f893(x93853,a878)),x93855),x93854)))
% 198.24/198.42 [9446]P24(f337(x94461,x94462))+P24(f337(f337(f339(x94463),f370(x94461,x94464,x94465,x94463)),x94464))+P24(f337(f337(f339(x94463),f361(x94461,x94464,x94465,x94463)),x94465))+~P24(f337(f337(f339(x94463),x94462),f337(f337(f113(f893(x94463,a878)),x94465),x94464)))
% 198.24/198.42 [9448]~P24(f337(x94482,x94485))+P24(f337(f337(f339(x94481),f858(x94482,x94483,x94484,x94481)),x94483))+P24(f337(f337(f339(x94481),f847(x94482,x94483,x94484,x94481)),x94484))+~P24(f337(f337(f339(x94481),x94485),f337(f337(f113(f893(x94481,a878)),x94484),x94483)))
% 198.24/198.42 [9595]~P6(x95951,x95955,x95954)+~P24(f337(f337(f339(x95951),x95953),x95955))+P24(f337(f337(f339(f892(x95951,x95951)),f337(f337(f272(x95951,x95951),x95952),x95953)),x95954))+~P24(f337(f337(f251(f893(x95951,a878)),f337(f291(x95951,x95951,x95954),f337(f337(f315(x95951),x95953),f197(f893(x95951,a878))))),f337(f291(x95951,x95951,x95954),f337(f337(f315(x95951),x95952),f197(f893(x95951,a878))))))
% 198.24/198.42 [9719]~P105(x97195)+~P28(x97195)+P24(f337(f337(f339(x97191),f625(x97192,x97193,x97194,x97191,x97195)),x97194))+~P24(f337(f337(f252(x97195),f337(f337(f43(x97191,x97195),x97194),x97193)),x97192))
% 198.24/198.42 [9751]~P84(x97515)+~P81(x97515)+P24(f337(f337(f339(x97511),f715(x97512,x97513,x97514,x97511,x97515)),f337(f175(x97511),x97514)))+P24(f337(f337(f251(x97515),f337(f168(x97515),f337(f337(f156(x97511,x97515),x97513),x97514))),f337(f168(x97515),f337(f337(f156(x97511,x97515),x97512),x97514))))
% 198.24/198.42 [9868]~P105(x98681)+~P28(x98681)+P24(f337(f337(f252(x98681),f337(x98682,f625(x98683,x98682,x98684,x98685,x98681))),x98683))+~P24(f337(f337(f252(x98681),f337(f337(f43(x98685,x98681),x98684),x98682)),x98683))
% 198.24/198.42 [10005]~P84(x100051)+~P81(x100051)+~P24(f337(f337(f251(x100051),f337(x100053,f715(x100055,x100053,x100054,x100052,x100051))),f337(x100055,f715(x100055,x100053,x100054,x100052,x100051))))+P24(f337(f337(f251(x100051),f337(f168(x100051),f337(f337(f156(x100052,x100051),x100053),x100054))),f337(f168(x100051),f337(f337(f156(x100052,x100051),x100055),x100054))))
% 198.24/198.42 [8699]~P70(x86991)+~P24(f337(f62(x86994),x86995))+~P24(f337(f337(f339(x86994),x86993),x86995))+E(f337(f337(f81(x86991),f337(x86992,x86993)),f337(f337(f6(x86994,x86991),x86992),f337(f337(f22(f893(x86994,a878)),x86995),f337(f337(f315(x86994),x86993),f197(f893(x86994,a878)))))),f337(f337(f6(x86994,x86991),x86992),x86995))
% 198.24/198.42 [8700]~P74(x87001)+~P24(f337(f62(x87004),x87005))+~P24(f337(f337(f339(x87004),x87003),x87005))+E(f337(f337(f82(x87001),f337(x87002,x87003)),f337(f337(f9(x87004,x87001),x87002),f337(f337(f22(f893(x87004,a878)),x87005),f337(f337(f315(x87004),x87003),f197(f893(x87004,a878)))))),f337(f337(f9(x87004,x87001),x87002),x87005))
% 198.24/198.42 [8755]~P14(x87551,x87554,x87555)+~P24(f337(f62(x87551),x87552))+E(f337(f337(f22(f893(x87551,a878)),x87552),f337(f337(f315(x87551),x87553),f197(f893(x87551,a878)))),f197(f893(x87551,a878)))+E(f337(f337(x87554,x87553),f337(x87555,f337(f337(f22(f893(x87551,a878)),x87552),f337(f337(f315(x87551),x87553),f197(f893(x87551,a878)))))),f337(x87555,f337(f337(f315(x87551),x87553),x87552)))
% 198.24/198.42 [9120]~P74(x91201)+~P24(f337(f62(x91202),x91205))+~P24(f337(f62(x91202),x91204))+E(f337(f337(f82(x91201),f337(f337(f9(x91202,x91201),x91203),f337(f337(f113(f893(x91202,a878)),x91204),x91205))),f337(f337(f9(x91202,x91201),x91203),f337(f337(f104(f893(x91202,a878)),x91204),x91205))),f337(f337(f82(x91201),f337(f337(f9(x91202,x91201),x91203),x91204)),f337(f337(f9(x91202,x91201),x91203),x91205)))
% 198.24/198.42 [9121]~P70(x91211)+~P24(f337(f62(x91212),x91215))+~P24(f337(f62(x91212),x91214))+E(f337(f337(f81(x91211),f337(f337(f6(x91212,x91211),x91213),f337(f337(f113(f893(x91212,a878)),x91214),x91215))),f337(f337(f6(x91212,x91211),x91213),f337(f337(f104(f893(x91212,a878)),x91214),x91215))),f337(f337(f81(x91211),f337(f337(f6(x91212,x91211),x91213),x91214)),f337(f337(f6(x91212,x91211),x91213),x91215)))
% 198.24/198.42 [9256]~P67(x92561)+~P24(f337(f62(x92562),x92565))+~P24(f337(f62(x92562),x92564))+E(f337(f337(f22(x92561),f337(f337(f81(x92561),f337(f337(f6(x92562,x92561),x92563),x92564)),f337(f337(f6(x92562,x92561),x92563),x92565))),f337(f337(f6(x92562,x92561),x92563),f337(f337(f104(f893(x92562,a878)),x92564),x92565))),f337(f337(f6(x92562,x92561),x92563),f337(f337(f113(f893(x92562,a878)),x92564),x92565)))
% 198.24/198.42 [9457]~P21(x94571,x94572,x94573,x94575)+~P21(x94571,x94572,x94573,x94574)+P21(x94571,x94572,x94573,f337(f337(f113(f893(x94571,a878)),x94574),x94575))+~E(f337(f337(f104(f893(x94572,a878)),f337(f316(x94571,x94572,x94573),f337(f337(f22(f893(x94571,a878)),x94574),x94575))),f337(f316(x94571,x94572,x94573),f337(f337(f22(f893(x94571,a878)),x94575),x94574))),f197(f893(x94572,a878)))
% 198.24/198.42 [9570]E(x95701,f2(a1))+~P24(f337(f337(f252(a1),f2(a1)),x95703))+~P24(f337(f49(x95702,x95701),f337(f337(f272(a1,a1),x95704),x95705)))+P24(f337(f49(x95702,f337(f337(f82(a1),x95701),x95703)),f337(f337(f272(a1,a1),f337(f337(f39(a1),x95704),x95703)),f337(f337(f81(a1),f337(f337(f82(a1),x95701),f45(a1,x95704,x95703))),x95705))))
% 198.24/198.42 [9578]~P24(f337(f337(f252(a884),f2(a884)),x95783))+~P24(f337(f337(f252(a884),f2(a884)),x95782))+~P24(f337(f48(x95781,x95782),f337(f337(f272(a884,a884),x95784),x95785)))+P24(f337(f48(x95781,f337(f337(f82(a884),x95782),x95783)),f337(f337(f272(a884,a884),f337(f337(f39(a884),x95784),x95783)),f337(f337(f81(a884),f337(f337(f82(a884),x95782),f45(a884,x95784,x95783))),x95785))))
% 198.24/198.42 [9627]~P74(x96271)+~P24(f337(f62(x96272),x96275))+~P24(f337(f62(x96272),x96274))+E(f337(f337(f82(x96271),f337(f337(f337(f66(x96271,x96272,f82(x96271)),x96273),f79(x96271)),f337(f337(f113(f893(x96272,a878)),x96274),x96275))),f337(f337(f337(f66(x96271,x96272,f82(x96271)),x96273),f79(x96271)),f337(f337(f104(f893(x96272,a878)),x96274),x96275))),f337(f337(f82(x96271),f337(f337(f337(f66(x96271,x96272,f82(x96271)),x96273),f79(x96271)),x96274)),f337(f337(f337(f66(x96271,x96272,f82(x96271)),x96273),f79(x96271)),x96275)))
% 198.24/198.42 [9629]~E(f337(f337(f178(x96291),x96295),x96292),f337(f337(f178(x96291),x96295),x96293))+P24(f337(f337(f339(f892(f885(x96291),f885(x96291))),f337(f337(f272(f885(x96291),f885(x96291)),x96292),x96293)),f149(x96291,x96294)))+~P24(f337(f337(f252(a884),x96295),f337(f337(f249(a884),f337(f198(f885(x96291)),x96292)),f337(f198(f885(x96291)),x96293))))+~P24(f337(f337(f339(f892(x96291,x96291)),f337(f337(f272(x96291,x96291),f337(f337(f167(x96291),x96292),x96295)),f337(f337(f167(x96291),x96293),x96295))),x96294))
% 198.24/198.42 [9739]~P84(x97395)+~P142(x97395)+P24(f337(f337(f339(x97391),f372(x97392,x97393,x97394,x97391,x97395)),x97394))+P24(f337(f337(f251(x97395),f337(f337(f6(x97391,x97395),x97393),x97394)),f337(f337(f82(x97395),f337(f103(x97395),f337(f38(x97391),x97394))),x97392)))
% 198.24/198.42 [9933]~P84(x99331)+~P142(x99331)+~P24(f337(f337(f251(x99331),f337(x99333,f372(x99335,x99333,x99334,x99332,x99331))),x99335))+P24(f337(f337(f251(x99331),f337(f337(f6(x99332,x99331),x99333),x99334)),f337(f337(f82(x99331),f337(f103(x99331),f337(f38(x99332),x99334))),x99335)))
% 198.24/198.42 [8727]E(f337(f337(f136(x87271),x87272),x87273),f337(f337(f136(x87271),x87274),x87275))+~E(f337(f337(f178(x87271),f337(f198(f885(x87271)),x87272)),x87274),x87272)+~E(f337(f337(f136(x87271),f337(f337(f140(x87271),f337(f198(f885(x87271)),x87272)),x87274)),x87275),x87273)+P24(f337(f337(f251(a884),f337(f198(f885(x87271)),x87274)),f337(f198(f885(x87271)),x87272)))
% 198.24/198.42 [8847]E(f337(f337(f136(x88471),x88472),x88473),f337(f337(f136(x88471),x88474),x88475))+~E(f337(f337(f178(x88471),f337(f198(f885(x88471)),x88472)),x88474),x88472)+~E(x88473,f337(f337(f136(x88471),f337(f337(f140(x88471),f337(f198(f885(x88471)),x88472)),x88474)),x88475))+~P24(f337(f337(f251(a884),f337(f198(f885(x88471)),x88472)),f337(f198(f885(x88471)),x88474)))
% 198.24/198.42 [10067]~P24(f337(x100675,x100674))+~P24(f337(f62(x100672),f337(f257(x100672),x100675)))+P24(f337(f62(x100671),f337(f257(x100671),f337(f337(f7(x100671,x100672,a878),x100673),x100674))))+~P24(f337(f62(x100671),f337(f257(x100671),f337(f337(f8(f893(x100672,a878),a878,x100671),f88(x100672)),f337(f337(f8(f893(x100672,a878),f893(x100672,a878),x100671),f337(f18(x100672,a878,a878),f337(f337(f8(a878,f893(a878,a878),x100672),a335),x100675))),x100673)))))
% 198.24/198.42 [8526]~P15(x85265,x85261,x85266,x85262)+E(f337(f74(x85261,x85261,x85261,f337(x85262,x85263)),f337(x85262,x85264)),f337(f74(x85261,x85261,x85261,f337(x85262,x85264)),f337(x85262,x85263)))+~P24(f337(f62(x85265),x85264))+~P24(f337(f62(x85265),x85263))
% 198.24/198.42 [7928]~P21(x79281,x79282,x79284,x79283)+~E(f337(x79284,x79286),x79285)+E(f337(f78(x79281,x79282,x79283,x79284),x79285),x79286)+~P24(f337(f337(f339(x79281),x79286),x79283))
% 198.24/198.42 [8120]~P16(x81206,x81201,x81204,x81202)+E(f337(f74(x81201,x81201,x81201,f337(x81202,x81203)),f337(x81204,x81205)),f337(x81202,x81203))+~P24(f337(f62(x81206),x81203))+~P24(f337(f337(f339(x81206),x81205),x81203))
% 198.24/198.42 [9303]~P15(x93033,x93031,x93036,x93032)+E(f337(f74(x93031,x93031,x93031,f337(x93032,f337(f337(f22(f893(x93033,a878)),x93034),f337(f337(f315(x93033),x93035),f197(f893(x93033,a878)))))),f337(x93036,x93035)),f337(x93032,x93034))+~P24(f337(f62(x93033),x93034))+~P24(f337(f337(f339(x93033),x93035),x93034))
% 198.24/198.42 [7007]~P27(x70071)+~E(f45(x70071,x70073,x70074),f45(x70071,x70076,x70074))+~E(f45(x70071,x70072,x70074),f45(x70071,x70075,x70074))+E(f45(x70071,f337(f337(f22(x70071),x70072),x70073),x70074),f45(x70071,f337(f337(f22(x70071),x70075),x70076),x70074))
% 198.24/198.42 [7008]~P26(x70081)+~E(f45(x70081,x70083,x70084),f45(x70081,x70086,x70084))+~E(f45(x70081,x70082,x70084),f45(x70081,x70085,x70084))+E(f45(x70081,f337(f337(f82(x70081),x70082),x70083),x70084),f45(x70081,f337(f337(f82(x70081),x70085),x70086),x70084))
% 198.24/198.42 [7009]~P26(x70091)+~E(f45(x70091,x70093,x70094),f45(x70091,x70096,x70094))+~E(f45(x70091,x70092,x70094),f45(x70091,x70095,x70094))+E(f45(x70091,f337(f337(f81(x70091),x70092),x70093),x70094),f45(x70091,f337(f337(f81(x70091),x70095),x70096),x70094))
% 198.24/198.42 [7824]~P12(x78241,x78242,x78243)+~P24(f337(f62(x78241),x78246))+E(f337(f337(f65(x78241,x78242,x78243),x78244),f337(f337(f315(x78241),x78245),x78246)),f337(f337(f65(x78241,x78242,x78243),f337(f337(x78243,x78245),x78244)),x78246))+P24(f337(f337(f339(x78241),x78245),x78246))
% 198.24/198.42 [7886]~P28(x78861)+P24(f337(f337(f251(x78861),x78862),f337(x78863,x78864)))+~P24(f337(f337(f339(x78865),x78864),x78866))+~P24(f337(f337(f251(x78861),x78862),f337(f337(f43(x78865,x78861),x78866),x78863)))
% 198.24/198.42 [8044]~P12(x80441,x80442,x80443)+~P24(f337(f62(x80441),x80446))+E(f337(f337(f65(x80441,x80442,x80443),x80444),f337(f337(f315(x80441),x80445),x80446)),f337(f337(x80443,x80445),f337(f337(f65(x80441,x80442,x80443),x80444),x80446)))+P24(f337(f337(f339(x80441),x80445),x80446))
% 198.24/198.42 [8136]~P105(x81363)+~P24(f337(x81362,x81365))+~P30(x81363,f337(f337(f156(x81361,x81363),x81364),x81366))+E(f337(f138(x81361,x81362),f337(f337(f150(x81361,x81363,x81364),x81365),x81366)),f337(f337(f150(x81361,x81363,x81364),x81365),f337(f138(x81361,x81362),x81366)))
% 198.24/198.42 [8158]E(x81581,x81582)+E(x81583,f2(a1))+~P24(f337(f49(x81584,x81583),f337(f337(f272(a1,a1),x81585),x81582)))+~P24(f337(f49(x81584,x81583),f337(f337(f272(a1,a1),x81586),x81581)))
% 198.24/198.42 [8159]E(x81591,x81592)+E(x81593,f2(a1))+~P24(f337(f49(x81594,x81593),f337(f337(f272(a1,a1),x81592),x81595)))+~P24(f337(f49(x81594,x81593),f337(f337(f272(a1,a1),x81591),x81596)))
% 198.24/198.42 [8179]~P15(x81792,x81795,x81796,x81791)+~P24(f337(f62(x81792),x81794))+E(f337(x81791,f337(f337(f315(x81792),x81793),x81794)),f337(f74(x81795,x81795,x81795,f337(x81791,x81794)),f337(x81796,x81793)))+P24(f337(f337(f339(x81792),x81793),x81794))
% 198.24/198.42 [8405]~P16(x84055,x84051,x84056,x84052)+E(f337(f74(x84051,x84051,x84051,f337(x84052,x84053)),f337(x84052,x84054)),f337(x84052,x84053))+~P24(f337(f62(x84055),x84053))+~P24(f337(f337(f251(f893(x84055,a878)),x84054),x84053))
% 198.24/198.42 [9504]~P21(x95041,x95042,x95044,x95043)+~P24(f337(f337(f339(x95042),x95045),f337(f316(x95041,x95042,x95044),x95043)))+P24(f337(f337(f339(x95041),f337(f78(x95041,x95042,x95043,x95044),x95045)),x95046))+~P24(f337(f337(f251(f893(x95041,a878)),x95043),x95046))
% 198.24/198.42 [9879]~P70(x98792)+~E(f575(x98791,x98793,x98795,x98796,x98794,x98792),f574(x98791,x98793,x98795,x98796,x98794,x98792))+~P24(f337(f62(x98794),x98796))+E(f337(f337(f6(x98791,x98792),x98793),f337(f316(x98794,x98791,x98795),x98796)),f337(f337(f6(x98794,x98792),f337(f74(x98791,x98792,x98794,x98793),x98795)),x98796))
% 198.24/198.42 [9915]~P70(x99156)+E(f337(x99151,f575(x99152,x99153,x99151,x99154,x99155,x99156)),f337(x99151,f574(x99152,x99153,x99151,x99154,x99155,x99156)))+E(f337(f337(f6(x99152,x99156),x99153),f337(f316(x99155,x99152,x99151),x99154)),f337(f337(f6(x99155,x99156),f337(f74(x99152,x99156,x99155,x99153),x99151)),x99154))+~P24(f337(f62(x99155),x99154))
% 198.24/198.42 [9955]~P70(x99552)+~E(f337(x99553,f337(x99555,f574(x99551,x99553,x99555,x99556,x99554,x99552))),f2(x99552))+~P24(f337(f62(x99554),x99556))+E(f337(f337(f6(x99551,x99552),x99553),f337(f316(x99554,x99551,x99555),x99556)),f337(f337(f6(x99554,x99552),f337(f74(x99551,x99552,x99554,x99553),x99555)),x99556))
% 198.24/198.42 [10013]~P70(x100132)+~P24(f337(f62(x100134),x100136))+E(f337(f337(f6(x100131,x100132),x100133),f337(f316(x100134,x100131,x100135),x100136)),f337(f337(f6(x100134,x100132),f337(f74(x100131,x100132,x100134,x100133),x100135)),x100136))+P24(f337(f337(f339(x100134),f574(x100131,x100133,x100135,x100136,x100134,x100132)),x100136))
% 198.24/198.42 [10014]~P70(x100142)+~P24(f337(f62(x100144),x100146))+E(f337(f337(f6(x100141,x100142),x100143),f337(f316(x100144,x100141,x100145),x100146)),f337(f337(f6(x100144,x100142),f337(f74(x100141,x100142,x100144,x100143),x100145)),x100146))+P24(f337(f337(f339(x100144),f575(x100141,x100143,x100145,x100146,x100144,x100142)),x100146))
% 198.24/198.42 [10125]~P74(x101251)+~P24(f337(f62(x101252),x101256))+E(f337(f337(f337(f66(x101251,x101252,f82(x101251)),f337(f337(f18(x101252,f893(x101253,a878),x101251),f337(f337(f7(x101252,x101251,f893(f893(x101253,a878),x101251)),f337(f337(f8(f893(x101253,x101251),f893(x101251,f893(f893(x101253,a878),x101251)),x101252),f66(x101251,x101253,f82(x101251))),x101254)),f79(x101251))),x101255)),f79(x101251)),x101256),f337(f337(f337(f66(x101251,f892(x101252,x101253),f82(x101251)),f337(f276(x101252,x101253,x101251),x101254)),f79(x101251)),f337(f337(f274(x101252,x101253),x101256),x101255)))+P24(f337(f337(f339(x101252),f540(x101254,x101255,x101253,x101256,x101252,x101251)),x101256))
% 198.24/198.42 [10145]~P74(x101451)+~P24(f337(f62(x101452),x101456))+E(f337(f337(f337(f66(x101451,x101452,f82(x101451)),f337(f337(f18(x101452,f893(x101453,a878),x101451),f337(f337(f7(x101452,x101451,f893(f893(x101453,a878),x101451)),f337(f337(f8(f893(x101453,x101451),f893(x101451,f893(f893(x101453,a878),x101451)),x101452),f66(x101451,x101453,f82(x101451))),x101454)),f79(x101451))),x101455)),f79(x101451)),x101456),f337(f337(f337(f66(x101451,f892(x101452,x101453),f82(x101451)),f337(f276(x101452,x101453,x101451),x101454)),f79(x101451)),f337(f337(f274(x101452,x101453),x101456),x101455)))+~P24(f337(f62(x101453),f337(x101455,f540(x101454,x101455,x101453,x101456,x101452,x101451))))
% 198.24/198.42 [8319]~P16(x83192,x83195,x83196,x83191)+~P24(f337(f62(x83192),x83194))+~P24(f337(f62(x83192),x83193))+E(f337(x83191,f337(f337(f113(f893(x83192,a878)),x83193),x83194)),f337(f74(x83195,x83195,x83195,f337(x83191,x83193)),f337(x83191,x83194)))
% 198.24/198.42 [8527]~P28(x85271)+P24(f337(f337(f251(x85271),f337(x85272,x85273)),x85274))+~P24(f337(f337(f339(x85275),x85273),x85276))+~P24(f337(f337(f251(x85271),f337(f337(f42(x85275,x85271),x85276),x85272)),x85274))
% 198.24/198.42 [8927]~P21(x89272,x89271,x89273,x89276)+E(f337(f337(f22(f893(x89271,a878)),f337(f316(x89272,x89271,x89273),x89274)),f337(f316(x89272,x89271,x89273),x89275)),f337(f316(x89272,x89271,x89273),f337(f337(f22(f893(x89272,a878)),x89274),x89275)))+~P24(f337(f337(f251(f893(x89272,a878)),x89275),x89276))+~P24(f337(f337(f251(f893(x89272,a878)),x89274),x89276))
% 198.24/198.42 [8928]~P21(x89282,x89281,x89283,x89286)+E(f337(f337(f104(f893(x89281,a878)),f337(f316(x89282,x89281,x89283),x89284)),f337(f316(x89282,x89281,x89283),x89285)),f337(f316(x89282,x89281,x89283),f337(f337(f104(f893(x89282,a878)),x89284),x89285)))+~P24(f337(f337(f251(f893(x89282,a878)),x89285),x89286))+~P24(f337(f337(f251(f893(x89282,a878)),x89284),x89286))
% 198.24/198.42 [9186]E(x91861,x91862)+~P51(x91863,x91864,x91865)+~P24(f337(f337(f339(f892(x91863,x91864)),f337(f337(f272(x91863,x91864),x91866),x91862)),x91865))+~P24(f337(f337(f339(f892(x91863,x91864)),f337(f337(f272(x91863,x91864),x91866),x91861)),x91865))
% 198.24/198.42 [9950]~P68(x99501)+~E(f337(x99503,f479(x99504,x99506,x99503,x99505,x99502,x99501)),f337(x99506,f479(x99504,x99506,x99503,x99505,x99502,x99501)))+~P24(f337(f62(x99502),x99505))+E(f337(f337(f337(f66(x99501,x99502,f82(x99501)),x99503),x99504),x99505),f337(f337(f337(f66(x99501,x99502,f82(x99501)),x99506),x99504),x99505))
% 198.24/198.42 [10011]~P68(x100111)+~P24(f337(f62(x100112),x100115))+E(f337(f337(f337(f66(x100111,x100112,f82(x100111)),x100113),x100114),x100115),f337(f337(f337(f66(x100111,x100112,f82(x100111)),x100116),x100114),x100115))+P24(f337(f337(f339(x100112),f479(x100114,x100113,x100116,x100115,x100112,x100111)),x100115))
% 198.24/198.42 [8740]~P68(x87401)+~P24(f337(f62(x87402),x87406))+P24(f337(f337(f339(x87402),x87405),x87406))+E(f337(f337(f337(f66(x87401,x87402,f82(x87401)),x87403),x87404),f337(f337(f315(x87402),x87405),x87406)),f337(f337(f82(x87401),f337(x87403,x87405)),f337(f337(f337(f66(x87401,x87402,f82(x87401)),x87403),x87404),x87406)))
% 198.24/198.42 [8786]~P6(x87861,x87866,x87863)+~P9(x87861,f893(x87862,a878),x87863,x87865)+~P24(f337(f337(f339(x87861),x87864),x87866))+E(f337(f337(f42(x87861,f893(x87862,a878)),f337(f291(x87861,x87861,x87863),f337(f337(f315(x87861),x87864),f197(f893(x87861,a878))))),x87865),f337(x87865,x87864))
% 198.24/198.42 [8903]~P12(x89033,x89034,x89031)+~P24(f337(f62(x89033),x89036))+~P24(f337(f337(f339(x89033),x89032),x89036))+E(f337(f337(x89031,x89032),f337(f337(f65(x89033,x89034,x89031),x89035),f337(f337(f22(f893(x89033,a878)),x89036),f337(f337(f315(x89033),x89032),f197(f893(x89033,a878)))))),f337(f337(f65(x89033,x89034,x89031),x89035),x89036))
% 198.24/198.42 [9197]~P15(x91973,x91971,x91976,x91972)+~P24(f337(f62(x91973),x91975))+~P24(f337(f62(x91973),x91974))+E(f337(f74(x91971,x91971,x91971,f337(x91972,f337(f337(f113(f893(x91973,a878)),x91974),x91975))),f337(x91972,f337(f337(f104(f893(x91973,a878)),x91974),x91975))),f337(f74(x91971,x91971,x91971,f337(x91972,x91974)),f337(x91972,x91975)))
% 198.24/198.42 [9525]~E(x95253,f337(f337(f161(x95251,x95252),x95255),x95256))+P24(f337(f337(f339(f892(f885(x95251),f885(x95251))),f337(f337(f272(f885(x95251),f885(x95251)),x95252),x95253)),f159(x95251,x95254)))+~P24(f337(f337(f252(a884),x95255),f337(f198(f885(x95251)),x95252)))+~P24(f337(f337(f339(f892(x95251,x95251)),f337(f337(f272(x95251,x95251),f337(f337(f167(x95251),x95252),x95255)),x95256)),x95254))
% 198.24/198.42 [10024]~P70(x100242)+~P24(f337(f62(x100241),x100246))+P24(f337(f337(f339(x100241),f538(x100244,x100245,x100243,x100246,x100241,x100242)),x100246))+E(f337(f337(f6(x100241,x100242),f337(f337(f18(x100241,f893(x100243,a878),x100242),f337(f337(f8(f893(x100243,x100242),f893(f893(x100243,a878),x100242),x100241),f6(x100243,x100242)),x100244)),x100245)),x100246),f337(f337(f6(f892(x100241,x100243),x100242),f337(f276(x100241,x100243,x100242),x100244)),f337(f337(f274(x100241,x100243),x100246),x100245)))
% 198.24/198.42 [10025]~P74(x100252)+~P24(f337(f62(x100251),x100256))+P24(f337(f337(f339(x100251),f539(x100254,x100255,x100253,x100256,x100251,x100252)),x100256))+E(f337(f337(f9(x100251,x100252),f337(f337(f18(x100251,f893(x100253,a878),x100252),f337(f337(f8(f893(x100253,x100252),f893(f893(x100253,a878),x100252),x100251),f9(x100253,x100252)),x100254)),x100255)),x100256),f337(f337(f9(f892(x100251,x100253),x100252),f337(f276(x100251,x100253,x100252),x100254)),f337(f337(f274(x100251,x100253),x100256),x100255)))
% 198.24/198.42 [10065]~P70(x100652)+~P24(f337(f62(x100651),x100656))+~P24(f337(f62(x100653),f337(x100655,f538(x100654,x100655,x100653,x100656,x100651,x100652))))+E(f337(f337(f6(x100651,x100652),f337(f337(f18(x100651,f893(x100653,a878),x100652),f337(f337(f8(f893(x100653,x100652),f893(f893(x100653,a878),x100652),x100651),f6(x100653,x100652)),x100654)),x100655)),x100656),f337(f337(f6(f892(x100651,x100653),x100652),f337(f276(x100651,x100653,x100652),x100654)),f337(f337(f274(x100651,x100653),x100656),x100655)))
% 198.24/198.42 [10066]~P74(x100662)+~P24(f337(f62(x100661),x100666))+~P24(f337(f62(x100663),f337(x100665,f539(x100664,x100665,x100663,x100666,x100661,x100662))))+E(f337(f337(f9(x100661,x100662),f337(f337(f18(x100661,f893(x100663,a878),x100662),f337(f337(f8(f893(x100663,x100662),f893(f893(x100663,a878),x100662),x100661),f9(x100663,x100662)),x100664)),x100665)),x100666),f337(f337(f9(f892(x100661,x100663),x100662),f337(f276(x100661,x100663,x100662),x100664)),f337(f337(f274(x100661,x100663),x100666),x100665)))
% 198.24/198.42 [10047]~P74(x100472)+~P24(f337(f62(x100471),x100476))+P24(f337(f337(f339(x100471),x100473),x100476))+E(f337(f337(f9(x100471,x100472),f337(f337(f7(x100471,x100472,x100472),f337(f337(f18(x100471,x100472,f893(x100472,x100472)),f337(f337(f8(a878,f893(x100472,f893(x100472,x100472)),x100471),f99(x100472)),f337(f337(f7(x100471,x100471,a878),a334),x100473))),x100474)),x100475)),x100476),f337(f337(f262(x100472),x100475),f337(f38(x100471),x100476)))
% 198.24/198.42 [10052]~P74(x100522)+~P24(f337(f62(x100521),x100526))+~P24(f337(f337(f339(x100521),x100523),x100526))+E(f337(f337(f9(x100521,x100522),f337(f337(f7(x100521,x100522,x100522),f337(f337(f18(x100521,x100522,f893(x100522,x100522)),f337(f337(f8(a878,f893(x100522,f893(x100522,x100522)),x100521),f99(x100522)),f337(f337(f7(x100521,x100521,a878),a334),x100523))),x100524)),x100525)),x100526),f337(f337(f82(x100522),f337(x100524,x100523)),f337(f337(f262(x100522),x100525),f337(f337(f22(a884),f337(f38(x100521),x100526)),f79(a884)))))
% 198.24/198.42 [10118]~P24(f337(f62(x101181),x101185))+~P24(f337(f62(x101182),x101183))+P24(f337(f337(f339(x101182),f429(x101186,x101184,x101183,x101182,x101185,x101181)),x101183))+E(f337(f337(f6(x101181,a884),f337(f337(f8(f893(x101182,a878),a884,x101181),f38(x101182)),f337(f337(f8(f893(x101182,a878),f893(x101182,a878),x101181),f257(x101182)),f337(f337(f8(f893(x101182,a878),f893(x101182,a878),x101181),f337(f18(x101182,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101182),a335),f337(f337(f7(x101182,f893(x101182,a878),a878),f339(x101182)),x101183)))),x101184)))),x101185),f337(f337(f82(a884),x101186),f337(f38(x101182),x101183)))
% 198.24/198.42 [10119]~P24(f337(f62(x101191),x101195))+~P24(f337(f62(x101192),x101193))+P24(f337(f337(f339(x101192),f430(x101196,x101194,x101193,x101192,x101195,x101191)),x101193))+E(f337(f337(f6(x101191,a884),f337(f337(f8(f893(x101192,a878),a884,x101191),f38(x101192)),f337(f337(f8(f893(x101192,a878),f893(x101192,a878),x101191),f257(x101192)),f337(f337(f8(f893(x101192,a878),f893(x101192,a878),x101191),f337(f18(x101192,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101192),a335),f337(f337(f7(x101192,f893(x101192,a878),a878),f339(x101192)),x101193)))),x101194)))),x101195),f337(f337(f6(x101192,a884),x101196),x101193))
% 198.24/198.43 [10151]~P24(f337(f62(x101512),x101513))+~P24(f337(f62(x101511),x101515))+~E(f337(f38(x101511),f337(f257(x101511),f337(f337(f18(x101511,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101511),a335),f337(f337(f7(x101511,f893(x101511,a878),a878),f339(x101511)),x101515))),f337(f337(f7(x101511,x101512,a878),x101514),f429(x101516,x101514,x101513,x101512,x101515,x101511))))),x101516)+E(f337(f337(f6(x101511,a884),f337(f337(f8(f893(x101512,a878),a884,x101511),f38(x101512)),f337(f337(f8(f893(x101512,a878),f893(x101512,a878),x101511),f257(x101512)),f337(f337(f8(f893(x101512,a878),f893(x101512,a878),x101511),f337(f18(x101512,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101512),a335),f337(f337(f7(x101512,f893(x101512,a878),a878),f339(x101512)),x101513)))),x101514)))),x101515),f337(f337(f82(a884),x101516),f337(f38(x101512),x101513)))
% 198.24/198.43 [10153]~P24(f337(f62(x101532),x101533))+~P24(f337(f62(x101531),x101535))+~E(f337(f38(x101531),f337(f257(x101531),f337(f337(f18(x101531,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101531),a335),f337(f337(f7(x101531,f893(x101531,a878),a878),f339(x101531)),x101535))),f337(f337(f7(x101531,x101532,a878),x101534),f430(x101536,x101534,x101533,x101532,x101535,x101531))))),f337(x101536,f430(x101536,x101534,x101533,x101532,x101535,x101531)))+E(f337(f337(f6(x101531,a884),f337(f337(f8(f893(x101532,a878),a884,x101531),f38(x101532)),f337(f337(f8(f893(x101532,a878),f893(x101532,a878),x101531),f257(x101532)),f337(f337(f8(f893(x101532,a878),f893(x101532,a878),x101531),f337(f18(x101532,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101532),a335),f337(f337(f7(x101532,f893(x101532,a878),a878),f339(x101532)),x101533)))),x101534)))),x101535),f337(f337(f6(x101532,a884),x101536),x101533))
% 198.24/198.43 [9806]E(x98061,x98062)+~P12(x98063,x98064,x98065)+~P24(f337(f67(x98063,x98064,x98065,x98066,x98067),x98062))+~P24(f337(f67(x98063,x98064,x98065,x98066,x98067),x98061))
% 198.24/198.43 [9598]P24(f337(x95981,x95982))+~P24(f337(f337(f339(x95987),x95982),f337(x95986,x95984)))+~P24(f337(x95981,f461(x95981,x95986,x95985,x95983,x95987)))+~P24(f337(f337(f339(x95983),x95984),x95985))
% 198.24/198.43 [10039]~P12(x100397,x100396,x100391)+E(f337(f337(x100391,x100392),f624(x100392,x100393,x100394,x100395,x100391,x100396,x100397)),x100393)+~P24(f337(f67(x100397,x100396,x100391,x100395,x100394),x100393))+~P24(f337(f337(f339(x100397),x100392),x100394))
% 198.24/198.43 [10104]~P12(x101041,x101042,x101043)+~P24(f337(f67(x101041,x101042,x101043,x101044,x101045),x101047))+P24(f337(f67(x101041,x101042,x101043,x101044,f337(f337(f22(f893(x101041,a878)),x101045),f337(f337(f315(x101041),x101046),f197(f893(x101041,a878))))),f624(x101046,x101047,x101045,x101044,x101043,x101042,x101041)))+~P24(f337(f337(f339(x101041),x101046),x101045))
% 198.24/198.43 [9500]~P68(x95001)+~P21(x95005,x95002,x95006,x95007)+~P24(f337(f62(x95005),x95007))+E(f337(f337(f337(f66(x95001,x95002,f82(x95001)),x95003),x95004),f337(f316(x95005,x95002,x95006),x95007)),f337(f337(f337(f66(x95001,x95005,f82(x95001)),f337(f74(x95002,x95001,x95005,x95003),x95006)),x95004),x95007))
% 198.24/198.43 [9622]~E(f337(f337(f315(x96221),x96225),x96226),f337(f337(f315(x96221),x96222),x96223))+~P24(f337(f67(x96221,x96221,x96224,x96222,x96223),x96227))+P24(f337(f337(f339(x96221),x96222),x96223))+P24(f337(f63(x96221,x96224,f337(f337(f315(x96221),x96225),x96226)),x96227))
% 198.24/198.43 [9705]P24(f337(x97051,x97052))+~P24(f337(f337(f339(x97053),x97052),f337(x97054,x97057)))+~P24(f337(f337(f339(x97056),x97057),x97055))+P24(f337(f337(f339(x97053),f461(x97051,x97054,x97055,x97056,x97053)),f337(f337(f42(x97056,f893(x97053,a878)),x97055),x97054)))
% 198.24/198.43 [9720]~P21(x97202,x97201,x97205,x97204)+~P21(x97201,x97203,x97206,f337(f316(x97202,x97201,x97205),x97204))+E(f337(f337(f74(x97201,x97202,x97203,f78(x97202,x97201,x97204,x97205)),f78(x97201,x97203,f337(f316(x97202,x97201,x97205),x97204),x97206)),x97207),f337(f78(x97202,x97203,x97204,f337(f74(x97201,x97203,x97202,x97206),x97205)),x97207))+~P24(f337(f337(f339(x97203),x97207),f337(f316(x97201,x97203,x97206),f337(f316(x97202,x97201,x97205),x97204))))
% 198.24/198.43 [10040]~P12(x100407,x100406,x100401)+E(f337(f337(x100401,x100402),f648(x100403,x100404,x100402,x100405,x100401,x100406,x100407)),x100403)+P24(f337(f337(f339(x100407),x100402),x100404))+~P24(f337(f67(x100407,x100406,x100401,x100405,f337(f337(f315(x100407),x100402),x100404)),x100403))
% 198.24/198.43 [10103]~P12(x101031,x101034,x101035)+P24(f337(f67(x101031,x101034,x101035,x101036,x101033),f648(x101037,x101033,x101032,x101036,x101035,x101034,x101031)))+P24(f337(f337(f339(x101031),x101032),x101033))+~P24(f337(f67(x101031,x101034,x101035,x101036,f337(f337(f315(x101031),x101032),x101033)),x101037))
% 198.24/198.43 [9788]E(x97881,f2(a1))+~P24(f337(f49(x97883,x97881),f337(f337(f272(a1,a1),x97885),x97887)))+~P24(f337(f49(x97882,x97881),f337(f337(f272(a1,a1),x97884),x97886)))+P24(f337(f49(f337(f337(f81(a1),x97882),x97883),x97881),f337(f337(f272(a1,a1),f337(f337(f81(a1),f337(f337(f81(a1),x97884),x97885)),f337(f337(f39(a1),f337(f337(f81(a1),x97886),x97887)),x97881))),f45(a1,f337(f337(f81(a1),x97886),x97887),x97881))))
% 198.24/198.43 [9790]~P24(f337(f337(f252(a884),f2(a884)),x97903))+~P24(f337(f48(x97902,x97903),f337(f337(f272(a884,a884),x97905),x97907)))+~P24(f337(f48(x97901,x97903),f337(f337(f272(a884,a884),x97904),x97906)))+P24(f337(f48(f337(f337(f81(a884),x97901),x97902),x97903),f337(f337(f272(a884,a884),f337(f337(f81(a884),f337(f337(f81(a884),x97904),x97905)),f337(f337(f39(a884),f337(f337(f81(a884),x97906),x97907)),x97903))),f45(a884,f337(f337(f81(a884),x97906),x97907),x97903))))
% 198.24/198.43 [10150]~P70(x101502)+~P24(f337(f62(x101503),x101505))+~P24(f337(f62(x101501),x101507))+E(f337(f337(f6(x101501,x101502),f337(f337(f18(x101501,f893(x101503,a878),x101502),f337(f337(f8(f893(x101503,x101502),f893(f893(x101503,a878),x101502),x101501),f6(x101503,x101502)),x101504)),f337(f337(f8(f893(x101503,a878),f893(x101503,a878),x101501),f257(x101503)),f337(f337(f8(f893(x101503,a878),f893(x101503,a878),x101501),f337(f18(x101503,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101503),a335),f337(f337(f7(x101503,f893(x101503,a878),a878),f339(x101503)),x101505)))),x101506)))),x101507),f337(f337(f6(x101503,x101502),f337(f337(f18(x101503,f893(x101501,a878),x101502),f337(f337(f8(f893(x101501,x101502),f893(f893(x101501,a878),x101502),x101503),f6(x101501,x101502)),f337(f7(x101501,x101503,x101502),x101504))),f337(f337(f8(f893(x101501,a878),f893(x101501,a878),x101503),f257(x101501)),f337(f337(f8(f893(x101501,a878),f893(x101501,a878),x101503),f337(f18(x101501,a878,a878),f337(f337(f8(a878,f893(a878,a878),x101501),a335),f337(f337(f7(x101501,f893(x101501,a878),a878),f339(x101501)),x101507)))),f337(f7(x101501,x101503,a878),x101506))))),x101505))
% 198.24/198.43 [9658]~P18(x96587,x96586,x96581,x96588,x96582,x96584)+E(f337(f337(x96581,f337(x96582,x96583)),f337(x96584,x96585)),f337(x96584,x96585))+~P24(f337(f62(x96586),x96585))+~P24(f337(f337(f339(x96586),x96583),x96585))
% 198.24/198.43 [9662]~P10(x96626,x96621,x96622,x96628,x96623,x96624)+~P6(x96626,x96627,x96628)+P9(x96621,x96622,x96623,f337(x96624,x96625))+~P24(f337(f337(f339(x96626),x96625),x96627))
% 198.24/198.43 [9288]~P15(x92887,x92881,x92888,x92883)+~P24(f337(f62(x92887),x92885))+~P24(f337(f62(x92887),x92884))+E(f337(f74(x92881,x92881,x92882,f337(x92883,x92884)),f337(f74(x92881,x92881,x92882,f337(x92883,x92885)),x92886)),f337(f74(x92881,x92881,x92882,f337(x92883,x92885)),f337(f74(x92881,x92881,x92882,f337(x92883,x92884)),x92886)))
% 198.24/198.43 [9296]~P36(x92961,x92962,x92963,x92964,x92967)+P36(x92961,x92962,x92963,f337(f337(f161(x92961,x92964),x92965),x92966),f337(f337(f161(x92962,x92967),x92965),x92968))+~P24(f337(f337(x92963,x92966),x92968))+~P24(f337(f337(f252(a884),x92965),f337(f198(f885(x92961)),x92964)))
% 198.24/198.43 [9297]~P36(x92971,x92972,x92973,x92974,x92977)+P36(x92971,x92972,x92973,f337(f337(f161(x92971,x92974),x92975),x92976),f337(f337(f161(x92972,x92977),x92975),x92978))+~P24(f337(f337(x92973,x92976),x92978))+~P24(f337(f337(f252(a884),x92975),f337(f198(f885(x92972)),x92977)))
% 198.24/198.43 [9373]~P21(x93732,x93732,x93735,x93736)+~P17(x93733,x93732,x93737,x93738,x93731)+~P24(f337(f62(x93732),x93736))+E(f337(f337(x93731,f337(f74(x93732,x93733,x93732,x93734),x93735)),x93736),f337(f337(x93731,x93734),f337(f316(x93732,x93732,x93735),x93736)))
% 198.24/198.43 [9660]~P19(x96607,x96602,x96605,x96608,x96606,x96601)+~P24(f337(f62(x96602),x96604))+E(f337(x96601,f337(f337(f315(x96602),x96603),x96604)),f337(f337(x96605,f337(x96606,x96603)),f337(x96601,x96604)))+P24(f337(f337(f339(x96602),x96603),x96604))
% 198.24/198.43 [9671]~P18(x96716,x96715,x96711,x96717,x96718,x96712)+E(f337(f337(x96711,f337(x96712,x96713)),f337(x96712,x96714)),f337(x96712,x96714))+~P24(f337(f62(x96715),x96714))+~P24(f337(f337(f251(f893(x96715,a878)),x96713),x96714))
% 198.24/198.43 [9273]P24(f337(f337(f339(f892(f885(x92731),f885(x92731))),f337(f337(f272(f885(x92731),f885(x92731)),x92732),x92733)),f159(x92731,x92734)))+~E(x92733,f337(f337(f136(x92731),x92735),f337(f337(f153(x92731),x92736),x92737)))+~E(x92732,f337(f337(f136(x92731),x92735),f337(f337(f153(x92731),x92738),x92737)))+~P24(f337(f337(f339(f892(x92731,x92731)),f337(f337(f272(x92731,x92731),x92738),x92736)),x92734))
% 198.24/198.43 [9665]~P18(x96656,x96652,x96655,x96657,x96658,x96651)+~P24(f337(f62(x96652),x96654))+~P24(f337(f62(x96652),x96653))+E(f337(x96651,f337(f337(f113(f893(x96652,a878)),x96653),x96654)),f337(f337(x96655,f337(x96651,x96653)),f337(x96651,x96654)))
% 198.24/198.43 [10190]~P21(x101904,x101902,x101905,x101908)+E(f337(f337(f43(x101901,f893(x101902,a878)),x101903),f337(f337(f8(f893(x101904,a878),f893(x101902,a878),x101901),f316(x101904,x101902,x101905)),x101906)),f337(f316(x101904,x101902,x101905),f337(f337(f43(x101901,f893(x101904,a878)),x101903),x101906)))+~P24(f337(f337(f339(x101901),x101907),x101903))+P24(f337(f337(f339(x101901),f637(x101907,x101906,x101903,x101901,x101908,x101905,x101902,x101904)),x101903))
% 198.24/198.43 [10214]~P21(x102144,x102142,x102145,x102147)+E(f337(f337(f43(x102141,f893(x102142,a878)),x102143),f337(f337(f8(f893(x102144,a878),f893(x102142,a878),x102141),f316(x102144,x102142,x102145)),x102146)),f337(f316(x102144,x102142,x102145),f337(f337(f43(x102141,f893(x102144,a878)),x102143),x102146)))+~P24(f337(f337(f339(x102141),x102148),x102143))+~P24(f337(f337(f251(f893(x102144,a878)),f337(x102146,f637(x102148,x102146,x102143,x102141,x102147,x102145,x102142,x102144))),x102147))
% 198.24/198.43 [9729]~P19(x97297,x97295,x97291,x97298,x97292,x97294)+~P24(f337(f62(x97295),x97296))+~P24(f337(f337(f339(x97295),x97293),x97296))+E(f337(f337(x97291,f337(x97292,x97293)),f337(x97294,f337(f337(f22(f893(x97295,a878)),x97296),f337(f337(f315(x97295),x97293),f197(f893(x97295,a878)))))),f337(x97294,x97296))
% 198.24/198.43 [9737]~P19(x97376,x97373,x97371,x97377,x97378,x97372)+~P24(f337(f62(x97373),x97375))+~P24(f337(f62(x97373),x97374))+E(f337(f337(x97371,f337(x97372,f337(f337(f113(f893(x97373,a878)),x97374),x97375))),f337(x97372,f337(f337(f104(f893(x97373,a878)),x97374),x97375))),f337(f337(x97371,f337(x97372,x97374)),f337(x97372,x97375)))
% 198.24/198.43 [9830]P44(x98301,x98302,x98303,x98304,x98305,f337(f337(x98303,x98306),x98307))+~P44(x98301,x98302,x98303,x98304,f337(f337(f22(f893(x98301,a878)),x98305),f337(f337(f315(x98301),x98308),f197(f893(x98301,a878)))),x98309)+~E(f337(f337(x98303,x98306),x98307),f337(f337(x98303,x98308),x98309))+~P24(f337(f337(f339(x98301),x98308),x98305))
% 198.24/198.43 [10225]P20(x102251,x102252,f337(f337(f315(f882(x102251)),f337(f337(f337(f93(x102251),f337(x102253,f412(x102254,x102255,x102256,x102257,x102253,x102252,x102251,x102258,x102259))),f337(x102257,f412(x102254,x102255,x102256,x102257,x102253,x102252,x102251,x102258,x102259))),f337(x102256,f412(x102254,x102255,x102256,x102257,x102253,x102252,x102251,x102258,x102259)))),f197(f893(f882(x102251),a878))))+~P24(f337(f62(x102259),x102258))+~P20(x102251,x102252,f337(f316(x102259,f882(x102251),f337(f337(f18(x102259,f893(x102251,f893(a879,a878)),f882(x102251)),f337(f337(f18(x102259,a880,f893(f893(x102251,f893(a879,a878)),f882(x102251))),f337(f337(f8(f893(x102251,f893(a879,a878)),f893(a880,f893(f893(x102251,f893(a879,a878)),f882(x102251))),x102259),f93(x102251)),x102253)),x102257)),x102256)),x102258))+P20(x102251,x102252,f337(f316(x102259,f882(x102251),f337(f337(f18(x102259,f893(x102251,f893(a879,a878)),f882(x102251)),f337(f337(f18(x102259,a880,f893(f893(x102251,f893(a879,a878)),f882(x102251))),f337(f337(f8(f893(x102251,f893(a879,a878)),f893(a880,f893(f893(x102251,f893(a879,a878)),f882(x102251))),x102259),f93(x102251)),x102255)),x102257)),x102254)),x102258))
% 198.24/198.43 [10226]~P20(x102261,x102262,f337(f337(f315(f882(x102261)),f337(f337(f337(f93(x102261),f337(x102264,f412(x102266,x102264,x102268,x102265,x102269,x102262,x102261,x102267,x102263))),f337(x102265,f412(x102266,x102264,x102268,x102265,x102269,x102262,x102261,x102267,x102263))),f337(x102266,f412(x102266,x102264,x102268,x102265,x102269,x102262,x102261,x102267,x102263)))),f197(f893(f882(x102261),a878))))+~P24(f337(f62(x102263),x102267))+~P20(x102261,x102262,f337(f316(x102263,f882(x102261),f337(f337(f18(x102263,f893(x102261,f893(a879,a878)),f882(x102261)),f337(f337(f18(x102263,a880,f893(f893(x102261,f893(a879,a878)),f882(x102261))),f337(f337(f8(f893(x102261,f893(a879,a878)),f893(a880,f893(f893(x102261,f893(a879,a878)),f882(x102261))),x102263),f93(x102261)),x102269)),x102265)),x102268)),x102267))+P20(x102261,x102262,f337(f316(x102263,f882(x102261),f337(f337(f18(x102263,f893(x102261,f893(a879,a878)),f882(x102261)),f337(f337(f18(x102263,a880,f893(f893(x102261,f893(a879,a878)),f882(x102261))),f337(f337(f8(f893(x102261,f893(a879,a878)),f893(a880,f893(f893(x102261,f893(a879,a878)),f882(x102261))),x102263),f93(x102261)),x102264)),x102265)),x102266)),x102267))
% 198.24/198.43 [9763]~P10(x97636,x97637,x97638,x97639,x976310,x97631)+E(f337(f337(x97631,x97632),x97633),f337(f337(x97631,x97634),x97635))+~P24(f337(f337(f339(f892(x97637,x97637)),f337(f337(f272(x97637,x97637),x97633),x97635)),x976310))+~P24(f337(f337(f339(f892(x97636,x97636)),f337(f337(f272(x97636,x97636),x97632),x97634)),x97639))
% 198.24/198.43 [9375]~P64(x93752)+E(x93751,f197(f893(x93752,a878)))+~P24(f337(f62(x93752),x93751))+P24(f337(f337(f339(x93752),f13(x93752,x93751)),x93751))+~P24(f337(f337(f339(x93752),f337(f337(f113(x93752),f610(x93751,x93752)),f622(x93751,x93752))),f337(f337(f315(x93752),f610(x93751,x93752)),f337(f337(f315(x93752),f622(x93751,x93752)),f197(f893(x93752,a878))))))
% 198.24/198.43 [9376]~P64(x93762)+E(x93761,f197(f893(x93762,a878)))+~P24(f337(f62(x93762),x93761))+P24(f337(f337(f339(x93762),f10(x93762,x93761)),x93761))+~P24(f337(f337(f339(x93762),f337(f337(f104(x93762),f720(x93761,x93762)),f734(x93761,x93762))),f337(f337(f315(x93762),f720(x93761,x93762)),f337(f337(f315(x93762),f734(x93761,x93762)),f197(f893(x93762,a878))))))
% 198.24/198.43 [9406]~P68(x94062)+E(x94061,f197(f893(x94062,a878)))+~P24(f337(f62(x94062),x94061))+P24(f337(f337(f339(x94062),f337(f64(x94062,f82(x94062)),x94061)),x94061))+~P24(f337(f337(f339(x94062),f337(f337(f82(x94062),f835(x94061,x94062)),f836(x94061,x94062))),f337(f337(f315(x94062),f835(x94061,x94062)),f337(f337(f315(x94062),f836(x94061,x94062)),f197(f893(x94062,a878))))))
% 198.24/198.43 [9411]~P105(x94112)+E(x94111,f197(f893(x94112,a878)))+~P24(f337(f62(x94112),x94111))+P24(f337(f337(f339(x94112),f11(x94112,f250(x94112),x94111)),x94111))+~P24(f337(f337(f339(x94112),f337(f337(f250(x94112),f440(x94111,x94112)),f441(x94111,x94112))),f337(f337(f315(x94112),f440(x94111,x94112)),f337(f337(f315(x94112),f441(x94111,x94112)),f197(f893(x94112,a878))))))
% 198.24/198.43 [9412]~P105(x94122)+E(x94121,f197(f893(x94122,a878)))+~P24(f337(f62(x94122),x94121))+P24(f337(f337(f339(x94122),f12(x94122,f249(x94122),x94121)),x94121))+~P24(f337(f337(f339(x94122),f337(f337(f249(x94122),f442(x94121,x94122)),f443(x94121,x94122))),f337(f337(f315(x94122),f442(x94121,x94122)),f337(f337(f315(x94122),f443(x94121,x94122)),f197(f893(x94122,a878))))))
% 198.24/198.43 [6578]~P88(x65782)+E(x65781,f2(x65782))+~E(f337(f337(f81(x65782),x65783),x65781),f2(x65782))+~P24(f337(f337(f251(x65782),f2(x65782)),x65783))+~P24(f337(f337(f251(x65782),f2(x65782)),x65781))
% 198.24/198.43 [6579]~P88(x65792)+E(x65791,f2(x65792))+~E(f337(f337(f81(x65792),x65791),x65793),f2(x65792))+~P24(f337(f337(f251(x65792),f2(x65792)),x65793))+~P24(f337(f337(f251(x65792),f2(x65792)),x65791))
% 198.24/198.43 [7109]~P105(x71092)+~P30(x71092,x71091)+E(x71091,f116(x71092))+~P24(f337(f337(f339(x71092),x71093),f337(f175(x71092),f721(x71091,x71092))))+P24(f337(f337(f251(x71092),f754(x71091,x71092)),x71093))
% 198.24/198.43 [7276]~P105(x72761)+E(f15(x72761,x72762),x72763)+~P24(f337(f62(x72761),x72762))+~P24(f337(f337(f251(x72761),x72763),f476(x72763,x72762,x72761)))+~P24(f337(f337(f339(x72761),x72763),x72762))
% 198.24/198.43 [7307]~P105(x73071)+~P30(x73071,x73072)+~P30(x73071,x73073)+P30(x73071,f337(f337(f136(x73071),x73072),x73073))+P24(f337(f337(f339(x73071),f728(x73073,x73072,x73071)),f337(f175(x73071),x73072)))
% 198.24/198.43 [7308]~P105(x73081)+~P30(x73081,x73082)+~P30(x73081,x73083)+P30(x73081,f337(f337(f136(x73081),x73082),x73083))+P24(f337(f337(f339(x73081),f729(x73083,x73082,x73081)),f337(f175(x73081),x73083)))
% 198.24/198.43 [7367]~P105(x73671)+E(f14(x73671,x73672),x73673)+~P24(f337(f62(x73671),x73672))+P24(f337(f337(f339(x73671),f477(x73673,x73672,x73671)),x73672))+~P24(f337(f337(f339(x73671),x73673),x73672))
% 198.24/198.43 [7368]~P105(x73681)+E(f15(x73681,x73682),x73683)+~P24(f337(f62(x73681),x73682))+P24(f337(f337(f339(x73681),f476(x73683,x73682,x73681)),x73682))+~P24(f337(f337(f339(x73681),x73683),x73682))
% 198.24/198.43 [7946]~P105(x79461)+E(f14(x79461,x79462),x79463)+~P24(f337(f62(x79461),x79462))+~P24(f337(f337(f339(x79461),x79463),x79462))+~P24(f337(f337(f251(x79461),f477(x79463,x79462,x79461)),x79463))
% 198.24/198.43 [8266]~P105(x82661)+~P30(x82661,x82662)+~P30(x82661,x82663)+P30(x82661,f337(f337(f136(x82661),x82662),x82663))+~P24(f337(f337(f251(x82661),f728(x82663,x82662,x82661)),f729(x82663,x82662,x82661)))
% 198.24/198.43 [9023]~P64(x90232)+E(x90231,f197(f893(x90232,a878)))+~E(f337(f337(f113(x90232),f337(x90233,f655(x90231,x90233,x90232))),f337(x90233,f665(x90231,x90233,x90232))),f337(x90233,f337(f337(f113(x90232),f655(x90231,x90233,x90232)),f665(x90231,x90233,x90232))))+E(f13(x90232,f337(f316(x90232,x90232,x90233),x90231)),f337(x90233,f13(x90232,x90231)))+~P24(f337(f62(x90232),x90231))
% 198.24/198.43 [9024]~P64(x90242)+E(x90241,f197(f893(x90242,a878)))+~E(f337(f337(f104(x90242),f337(x90243,f751(x90241,x90243,x90242))),f337(x90243,f762(x90241,x90243,x90242))),f337(x90243,f337(f337(f104(x90242),f751(x90241,x90243,x90242)),f762(x90241,x90243,x90242))))+E(f10(x90242,f337(f316(x90242,x90242,x90243),x90241)),f337(x90243,f10(x90242,x90241)))+~P24(f337(f62(x90242),x90241))
% 198.24/198.43 [9025]~P105(x90252)+E(x90251,f197(f893(x90252,a878)))+~E(f337(f337(f250(x90252),f337(x90253,f437(x90251,x90253,x90252))),f337(x90253,f451(x90251,x90253,x90252))),f337(x90253,f337(f337(f250(x90252),f437(x90251,x90253,x90252)),f451(x90251,x90253,x90252))))+E(f14(x90252,f337(f316(x90252,x90252,x90253),x90251)),f337(x90253,f14(x90252,x90251)))+~P24(f337(f62(x90252),x90251))
% 198.24/198.43 [9026]~P105(x90262)+E(x90261,f197(f893(x90262,a878)))+~E(f337(f337(f249(x90262),f337(x90263,f452(x90261,x90263,x90262))),f337(x90263,f456(x90261,x90263,x90262))),f337(x90263,f337(f337(f249(x90262),f452(x90261,x90263,x90262)),f456(x90261,x90263,x90262))))+E(f15(x90262,f337(f316(x90262,x90262,x90263),x90261)),f337(x90263,f15(x90262,x90261)))+~P24(f337(f62(x90262),x90261))
% 198.24/198.43 [9095]~P105(x90952)+E(x90951,f197(f893(x90952,a878)))+~E(f337(f337(f250(x90952),f337(x90953,f438(x90951,x90953,x90952))),f337(x90953,f448(x90951,x90953,x90952))),f337(x90953,f337(f337(f250(x90952),f438(x90951,x90953,x90952)),f448(x90951,x90953,x90952))))+E(f11(x90952,f250(x90952),f337(f316(x90952,x90952,x90953),x90951)),f337(x90953,f11(x90952,f250(x90952),x90951)))+~P24(f337(f62(x90952),x90951))
% 198.24/198.43 [9096]~P105(x90962)+E(x90961,f197(f893(x90962,a878)))+~E(f337(f337(f249(x90962),f337(x90963,f449(x90961,x90963,x90962))),f337(x90963,f450(x90961,x90963,x90962))),f337(x90963,f337(f337(f249(x90962),f449(x90961,x90963,x90962)),f450(x90961,x90963,x90962))))+E(f12(x90962,f249(x90962),f337(f316(x90962,x90962,x90963),x90961)),f337(x90963,f12(x90962,f249(x90962),x90961)))+~P24(f337(f62(x90962),x90961))
% 198.24/198.43 [6594]~P68(x65942)+E(x65941,f197(f893(x65942,a878)))+~P24(f337(f62(x65942),x65941))+E(f337(f64(x65942,f82(x65942)),f337(f337(f315(x65942),x65943),x65941)),f337(f337(f82(x65942),x65943),f337(f64(x65942,f82(x65942)),x65941)))+P24(f337(f337(f339(x65942),x65943),x65941))
% 198.24/198.43 [7115]~P64(x71152)+E(f337(f337(f113(x71152),f13(x71152,x71151)),f13(x71152,x71153)),f13(x71152,x71153))+E(x71151,f197(f893(x71152,a878)))+~P24(f337(f62(x71152),x71153))+~P24(f337(f337(f251(f893(x71152,a878)),x71151),x71153))
% 198.24/198.43 [7116]~P64(x71162)+E(f337(f337(f104(x71162),f10(x71162,x71161)),f10(x71162,x71163)),f10(x71162,x71163))+E(x71161,f197(f893(x71162,a878)))+~P24(f337(f62(x71162),x71163))+~P24(f337(f337(f251(f893(x71162,a878)),x71161),x71163))
% 198.24/198.43 [7117]~P105(x71172)+E(f337(f337(f249(x71172),f15(x71172,x71171)),f15(x71172,x71173)),f15(x71172,x71173))+E(x71171,f197(f893(x71172,a878)))+~P24(f337(f62(x71172),x71173))+~P24(f337(f337(f251(f893(x71172,a878)),x71171),x71173))
% 198.24/198.43 [7118]~P105(x71182)+E(f337(f337(f250(x71182),f14(x71182,x71181)),f14(x71182,x71183)),f14(x71182,x71183))+E(x71181,f197(f893(x71182,a878)))+~P24(f337(f62(x71182),x71183))+~P24(f337(f337(f251(f893(x71182,a878)),x71181),x71183))
% 198.24/198.43 [7416]~P105(x74162)+E(x74161,f197(f893(x74162,a878)))+~P24(f337(f62(x74162),x74163))+P24(f337(f337(f251(x74162),f14(x74162,x74161)),f14(x74162,x74163)))+~P24(f337(f337(f251(f893(x74162,a878)),x74161),x74163))
% 198.24/198.43 [7417]~P105(x74172)+E(x74171,f197(f893(x74172,a878)))+~P24(f337(f62(x74172),x74173))+P24(f337(f337(f251(x74172),f15(x74172,x74173)),f15(x74172,x74171)))+~P24(f337(f337(f251(f893(x74172,a878)),x74171),x74173))
% 198.24/198.43 [7476]~P64(x74761)+E(f13(x74761,x74762),x74763)+~P24(f337(f62(x74761),x74762))+~E(f337(f337(f22(f893(x74761,a878)),x74762),f337(f337(f315(x74761),x74763),f197(f893(x74761,a878)))),f197(f893(x74761,a878)))+~P24(f337(f337(f339(x74761),x74763),x74762))
% 198.24/198.43 [7477]~P64(x74771)+E(f10(x74771,x74772),x74773)+~P24(f337(f62(x74771),x74772))+~E(f337(f337(f22(f893(x74771,a878)),x74772),f337(f337(f315(x74771),x74773),f197(f893(x74771,a878)))),f197(f893(x74771,a878)))+~P24(f337(f337(f339(x74771),x74773),x74772))
% 198.24/198.43 [7478]~P105(x74781)+E(f14(x74781,x74782),x74783)+~P24(f337(f62(x74781),x74782))+~E(f337(f337(f22(f893(x74781,a878)),x74782),f337(f337(f315(x74781),x74783),f197(f893(x74781,a878)))),f197(f893(x74781,a878)))+~P24(f337(f337(f339(x74781),x74783),x74782))
% 198.24/198.43 [7479]~P105(x74791)+E(f15(x74791,x74792),x74793)+~P24(f337(f62(x74791),x74792))+~E(f337(f337(f22(f893(x74791,a878)),x74792),f337(f337(f315(x74791),x74793),f197(f893(x74791,a878)))),f197(f893(x74791,a878)))+~P24(f337(f337(f339(x74791),x74793),x74792))
% 198.24/198.43 [7577]~P105(x75771)+E(f11(x75771,f250(x75771),x75772),x75773)+~P24(f337(f62(x75771),x75772))+~E(f337(f337(f22(f893(x75771,a878)),x75772),f337(f337(f315(x75771),x75773),f197(f893(x75771,a878)))),f197(f893(x75771,a878)))+~P24(f337(f337(f339(x75771),x75773),x75772))
% 198.24/198.43 [7578]~P105(x75781)+E(f12(x75781,f249(x75781),x75782),x75783)+~P24(f337(f62(x75781),x75782))+~E(f337(f337(f22(f893(x75781,a878)),x75782),f337(f337(f315(x75781),x75783),f197(f893(x75781,a878)))),f197(f893(x75781,a878)))+~P24(f337(f337(f339(x75781),x75783),x75782))
% 198.24/198.43 [7615]~P101(x76152)+E(x76151,f197(f893(x76152,a878)))+~P24(f337(f62(x76152),x76151))+~P24(f337(f337(f251(x76152),x76153),f832(x76153,x76151,x76152)))+P24(f337(f337(f251(x76152),x76153),f337(f64(x76152,f104(x76152)),x76151)))
% 198.24/198.43 [7616]~P105(x76162)+E(x76161,f197(f893(x76162,a878)))+~P24(f337(f62(x76162),x76161))+~P24(f337(f337(f251(x76162),x76163),f423(x76163,x76161,x76162)))+P24(f337(f337(f251(x76162),x76163),f337(f64(x76162,f249(x76162)),x76161)))
% 198.24/198.43 [7617]~P105(x76172)+E(x76171,f197(f893(x76172,a878)))+~P24(f337(f62(x76172),x76171))+~P24(f337(f337(f252(x76172),x76173),f434(x76173,x76171,x76172)))+P24(f337(f337(f252(x76172),x76173),f337(f64(x76172,f249(x76172)),x76171)))
% 198.24/198.43 [7703]~P101(x77032)+E(x77031,f197(f893(x77032,a878)))+~P24(f337(f62(x77032),x77031))+P24(f337(f337(f339(x77032),f832(x77033,x77031,x77032)),x77031))+P24(f337(f337(f251(x77032),x77033),f337(f64(x77032,f104(x77032)),x77031)))
% 198.24/198.43 [7704]~P105(x77042)+E(x77041,f197(f893(x77042,a878)))+~P24(f337(f62(x77042),x77041))+P24(f337(f337(f339(x77042),f423(x77043,x77041,x77042)),x77041))+P24(f337(f337(f251(x77042),x77043),f337(f64(x77042,f249(x77042)),x77041)))
% 198.24/198.43 [7705]~P105(x77052)+E(x77051,f197(f893(x77052,a878)))+~P24(f337(f62(x77052),x77051))+P24(f337(f337(f339(x77052),f434(x77053,x77051,x77052)),x77051))+P24(f337(f337(f252(x77052),x77053),f337(f64(x77052,f249(x77052)),x77051)))
% 198.24/198.43 [7826]~P105(x78262)+E(x78261,f197(f893(x78262,a878)))+E(f337(f337(f249(x78262),f12(x78262,f249(x78262),x78261)),f12(x78262,f249(x78262),x78263)),f12(x78262,f249(x78262),x78263))+~P24(f337(f62(x78262),x78263))+~P24(f337(f337(f251(f893(x78262,a878)),x78261),x78263))
% 198.24/198.43 [7827]~P105(x78272)+E(x78271,f197(f893(x78272,a878)))+E(f337(f337(f250(x78272),f11(x78272,f250(x78272),x78271)),f11(x78272,f250(x78272),x78273)),f11(x78272,f250(x78272),x78273))+~P24(f337(f62(x78272),x78273))+~P24(f337(f337(f251(f893(x78272,a878)),x78271),x78273))
% 198.24/198.43 [8025]~E(f634(x80251,x80253,x80252),f635(x80251,x80253,x80252))+~E(f337(f38(x80252),f636(x80251,x80253,x80252)),x80251)+E(f337(f337(f82(a884),x80251),f337(f38(f893(x80252,a878)),x80253)),f337(f38(x80252),f40(f893(x80252,a878),x80253)))+~P24(f337(f62(x80252),f40(f893(x80252,a878),x80253)))+~P24(f337(f62(f893(x80252,a878)),x80253))
% 198.24/198.43 [8200]~P105(x82002)+E(x82001,f197(f893(x82002,a878)))+~P24(f337(f62(x82002),x82003))+P24(f337(f337(f251(x82002),f337(f64(x82002,f249(x82002)),x82003)),f337(f64(x82002,f249(x82002)),x82001)))+~P24(f337(f337(f251(f893(x82002,a878)),x82001),x82003))
% 198.24/198.43 [8500]~E(f634(x85001,x85003,x85002),f635(x85001,x85003,x85002))+E(f337(f337(f82(a884),x85001),f337(f38(f893(x85002,a878)),x85003)),f337(f38(x85002),f40(f893(x85002,a878),x85003)))+P24(f337(f337(f339(f893(x85002,a878)),f636(x85001,x85003,x85002)),x85003))+~P24(f337(f62(x85002),f40(f893(x85002,a878),x85003)))+~P24(f337(f62(f893(x85002,a878)),x85003))
% 198.24/198.43 [8523]~E(f337(f38(x85232),f636(x85231,x85233,x85232)),x85231)+E(f337(f337(f82(a884),x85231),f337(f38(f893(x85232,a878)),x85233)),f337(f38(x85232),f40(f893(x85232,a878),x85233)))+P24(f337(f337(f339(f893(x85232,a878)),f635(x85231,x85233,x85232)),x85233))+~P24(f337(f62(x85232),f40(f893(x85232,a878),x85233)))+~P24(f337(f62(f893(x85232,a878)),x85233))
% 198.24/198.43 [8524]~E(f337(f38(x85242),f636(x85241,x85243,x85242)),x85241)+E(f337(f337(f82(a884),x85241),f337(f38(f893(x85242,a878)),x85243)),f337(f38(x85242),f40(f893(x85242,a878),x85243)))+P24(f337(f337(f339(f893(x85242,a878)),f634(x85241,x85243,x85242)),x85243))+~P24(f337(f62(x85242),f40(f893(x85242,a878),x85243)))+~P24(f337(f62(f893(x85242,a878)),x85243))
% 198.24/198.43 [8549]~E(f337(f38(x85492),f636(x85491,x85493,x85492)),x85491)+~E(f337(f337(f104(f893(x85492,a878)),f635(x85491,x85493,x85492)),f634(x85491,x85493,x85492)),f197(f893(x85492,a878)))+E(f337(f337(f82(a884),x85491),f337(f38(f893(x85492,a878)),x85493)),f337(f38(x85492),f40(f893(x85492,a878),x85493)))+~P24(f337(f62(f893(x85492,a878)),x85493))+~P24(f337(f62(x85492),f40(f893(x85492,a878),x85493)))
% 198.24/198.43 [8791]E(f337(f337(f82(a884),x87911),f337(f38(f893(x87912,a878)),x87913)),f337(f38(x87912),f40(f893(x87912,a878),x87913)))+P24(f337(f337(f339(f893(x87912,a878)),f636(x87911,x87913,x87912)),x87913))+P24(f337(f337(f339(f893(x87912,a878)),f635(x87911,x87913,x87912)),x87913))+~P24(f337(f62(f893(x87912,a878)),x87913))+~P24(f337(f62(x87912),f40(f893(x87912,a878),x87913)))
% 198.24/198.43 [8792]E(f337(f337(f82(a884),x87921),f337(f38(f893(x87922,a878)),x87923)),f337(f38(x87922),f40(f893(x87922,a878),x87923)))+P24(f337(f337(f339(f893(x87922,a878)),f636(x87921,x87923,x87922)),x87923))+P24(f337(f337(f339(f893(x87922,a878)),f634(x87921,x87923,x87922)),x87923))+~P24(f337(f62(f893(x87922,a878)),x87923))+~P24(f337(f62(x87922),f40(f893(x87922,a878),x87923)))
% 198.24/198.43 [8817]~E(f337(f337(f104(f893(x88172,a878)),f635(x88171,x88173,x88172)),f634(x88171,x88173,x88172)),f197(f893(x88172,a878)))+E(f337(f337(f82(a884),x88171),f337(f38(f893(x88172,a878)),x88173)),f337(f38(x88172),f40(f893(x88172,a878),x88173)))+~P24(f337(f62(f893(x88172,a878)),x88173))+P24(f337(f337(f339(f893(x88172,a878)),f636(x88171,x88173,x88172)),x88173))+~P24(f337(f62(x88172),f40(f893(x88172,a878),x88173)))
% 198.24/198.43 [9070]~P96(x90702)+E(x90701,f197(f893(x90702,a878)))+~E(f337(f337(f82(x90702),f337(x90703,f834(x90701,x90703,x90702))),f337(x90703,f837(x90701,x90703,x90702))),f337(x90703,f337(f337(f82(x90702),f834(x90701,x90703,x90702)),f837(x90701,x90703,x90702))))+~P24(f337(f62(x90702),x90701))+E(f337(f64(x90702,f82(x90702)),f337(f316(x90702,x90702,x90703),x90701)),f337(x90703,f337(f64(x90702,f82(x90702)),x90701)))
% 198.24/198.43 [9985]P24(f337(f337(x99851,x99852),x99853))+P24(f337(f337(f252(a1),f490(x99851,x99853,x99852)),f491(x99851,x99853,x99852)))+P24(f337(f337(f251(a1),f491(x99851,x99853,x99852)),f2(a1)))+P24(f337(f337(x99851,f490(x99851,x99853,x99852)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f491(x99851,x99853,x99852))))+~P24(f337(f325(f892(a1,a1),a57),f337(f337(f272(a1,a1),x99852),x99853)))
% 198.24/198.43 [9991]P24(f337(f337(x99911,x99912),x99913))+P24(f337(f337(f251(a1),f489(x99911,x99913,x99912)),f2(a1)))+P24(f337(f337(x99911,f487(x99911,x99913,x99912)),f337(f337(f82(a1),f337(f106(a1),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f489(x99911,x99913,x99912))))+P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),f487(x99911,x99913,x99912)),f489(x99911,x99913,x99912))))+~P24(f337(f325(f892(a1,a1),a52),f337(f337(f272(a1,a1),x99912),x99913)))
% 198.24/198.43 [7995]~P116(x79951)+~P24(f337(f337(f251(x79951),x79952),f79(x79951)))+~P24(f337(f337(f251(x79951),f2(x79951)),x79952))+~P24(f337(f337(f251(x79951),f2(x79951)),x79953))+P24(f337(f337(f251(x79951),f337(f337(f82(x79951),x79952),x79953)),x79953))
% 198.24/198.43 [7996]~P116(x79961)+~P24(f337(f337(f251(x79961),x79963),f79(x79961)))+~P24(f337(f337(f251(x79961),f2(x79961)),x79963))+~P24(f337(f337(f251(x79961),f2(x79961)),x79962))+P24(f337(f337(f251(x79961),f337(f337(f82(x79961),x79962),x79963)),x79962))
% 198.24/198.43 [8349]~P105(x83492)+E(x83491,f197(f893(x83492,a878)))+~P24(f337(f62(x83492),x83491))+P24(f337(f337(f251(x83492),f435(x83493,x83491,x83492)),x83493))+~P24(f337(f337(f251(x83492),f337(f64(x83492,f249(x83492)),x83491)),x83493))
% 198.24/198.43 [8350]~P105(x83502)+E(x83501,f197(f893(x83502,a878)))+~P24(f337(f62(x83502),x83501))+P24(f337(f337(f339(x83502),f435(x83503,x83501,x83502)),x83501))+~P24(f337(f337(f251(x83502),f337(f64(x83502,f249(x83502)),x83501)),x83503))
% 198.24/198.43 [8351]~P105(x83512)+E(x83511,f197(f893(x83512,a878)))+~P24(f337(f62(x83512),x83511))+P24(f337(f337(f339(x83512),f436(x83513,x83511,x83512)),x83511))+~P24(f337(f337(f252(x83512),f337(f64(x83512,f249(x83512)),x83511)),x83513))
% 198.24/198.43 [8352]~P105(x83522)+E(x83521,f197(f893(x83522,a878)))+~P24(f337(f62(x83522),x83521))+P24(f337(f337(f252(x83522),f436(x83523,x83521,x83522)),x83523))+~P24(f337(f337(f252(x83522),f337(f64(x83522,f249(x83522)),x83521)),x83523))
% 198.24/198.43 [8436]~P24(f337(x84361,x84363))+P24(f337(x84361,f405(x84361,x84362)))+P24(f337(x84361,f396(x84361,x84362)))+~P24(f337(f337(f252(a1),f2(a1)),x84362))+P24(f337(x84361,f337(f337(f22(a1),f396(x84361,x84362)),f337(f337(f82(a1),f403(x84361,x84362)),x84362))))
% 198.24/198.43 [8644]~P24(f337(x86441,x86443))+P24(f337(x86441,f396(x86441,x86442)))+~P24(f337(f337(f252(a1),f2(a1)),x86442))+P24(f337(f337(f339(a1),f405(x86441,x86442)),f308(a1,f79(a1),x86442)))+P24(f337(x86441,f337(f337(f22(a1),f396(x86441,x86442)),f337(f337(f82(a1),f403(x86441,x86442)),x86442))))
% 198.24/198.43 [8839]~P24(f337(x88391,x88393))+~P24(f337(x88391,f396(x88391,x88392)))+P24(f337(x88391,f405(x88391,x88392)))+~P24(f337(f337(f252(a1),f2(a1)),x88392))+~P24(f337(x88391,f337(f337(f22(a1),f396(x88391,x88392)),f337(f337(f82(a1),f403(x88391,x88392)),x88392))))
% 198.24/198.43 [8963]~P24(f337(x89631,x89633))+~P24(f337(x89631,f396(x89631,x89632)))+~P24(f337(f337(f252(a1),f2(a1)),x89632))+P24(f337(f337(f339(a1),f405(x89631,x89632)),f308(a1,f79(a1),x89632)))+~P24(f337(x89631,f337(f337(f22(a1),f396(x89631,x89632)),f337(f337(f82(a1),f403(x89631,x89632)),x89632))))
% 198.24/198.43 [8751]~P64(x87511)+~P24(f337(f62(x87511),x87512))+E(f337(f337(f22(f893(x87511,a878)),x87512),f337(f337(f315(x87511),x87513),f197(f893(x87511,a878)))),f197(f893(x87511,a878)))+~P24(f337(f337(f339(x87511),x87513),x87512))+E(f337(f337(f113(x87511),x87513),f13(x87511,f337(f337(f22(f893(x87511,a878)),x87512),f337(f337(f315(x87511),x87513),f197(f893(x87511,a878)))))),f13(x87511,x87512))
% 198.24/198.43 [8752]~P64(x87521)+~P24(f337(f62(x87521),x87522))+E(f337(f337(f22(f893(x87521,a878)),x87522),f337(f337(f315(x87521),x87523),f197(f893(x87521,a878)))),f197(f893(x87521,a878)))+~P24(f337(f337(f339(x87521),x87523),x87522))+E(f337(f337(f104(x87521),x87523),f10(x87521,f337(f337(f22(f893(x87521,a878)),x87522),f337(f337(f315(x87521),x87523),f197(f893(x87521,a878)))))),f10(x87521,x87522))
% 198.24/198.43 [8753]~P105(x87531)+~P24(f337(f62(x87531),x87532))+E(f337(f337(f22(f893(x87531,a878)),x87532),f337(f337(f315(x87531),x87533),f197(f893(x87531,a878)))),f197(f893(x87531,a878)))+~P24(f337(f337(f339(x87531),x87533),x87532))+E(f337(f337(f250(x87531),x87533),f14(x87531,f337(f337(f22(f893(x87531,a878)),x87532),f337(f337(f315(x87531),x87533),f197(f893(x87531,a878)))))),f14(x87531,x87532))
% 198.24/198.43 [8754]~P105(x87541)+~P24(f337(f62(x87541),x87542))+E(f337(f337(f22(f893(x87541,a878)),x87542),f337(f337(f315(x87541),x87543),f197(f893(x87541,a878)))),f197(f893(x87541,a878)))+~P24(f337(f337(f339(x87541),x87543),x87542))+E(f337(f337(f249(x87541),x87543),f15(x87541,f337(f337(f22(f893(x87541,a878)),x87542),f337(f337(f315(x87541),x87543),f197(f893(x87541,a878)))))),f15(x87541,x87542))
% 198.24/198.43 [8811]~P105(x88111)+~P24(f337(f62(x88111),x88112))+E(f337(f337(f22(f893(x88111,a878)),x88112),f337(f337(f315(x88111),x88113),f197(f893(x88111,a878)))),f197(f893(x88111,a878)))+~P24(f337(f337(f339(x88111),x88113),x88112))+E(f337(f337(f250(x88111),x88113),f11(x88111,f250(x88111),f337(f337(f22(f893(x88111,a878)),x88112),f337(f337(f315(x88111),x88113),f197(f893(x88111,a878)))))),f11(x88111,f250(x88111),x88112))
% 198.24/198.43 [8812]~P105(x88121)+~P24(f337(f62(x88121),x88122))+E(f337(f337(f22(f893(x88121,a878)),x88122),f337(f337(f315(x88121),x88123),f197(f893(x88121,a878)))),f197(f893(x88121,a878)))+~P24(f337(f337(f339(x88121),x88123),x88122))+E(f337(f337(f249(x88121),x88123),f12(x88121,f249(x88121),f337(f337(f22(f893(x88121,a878)),x88122),f337(f337(f315(x88121),x88123),f197(f893(x88121,a878)))))),f12(x88121,f249(x88121),x88122))
% 198.24/198.43 [8826]~P64(x88261)+~P24(f337(f62(x88261),x88263))+~P24(f337(f62(x88261),x88262))+E(f337(f337(f104(f893(x88261,a878)),x88262),x88263),f197(f893(x88261,a878)))+E(f337(f337(f113(x88261),f13(x88261,f337(f337(f113(f893(x88261,a878)),x88262),x88263))),f13(x88261,f337(f337(f104(f893(x88261,a878)),x88262),x88263))),f337(f337(f113(x88261),f13(x88261,x88262)),f13(x88261,x88263)))
% 198.24/198.43 [8827]~P64(x88271)+~P24(f337(f62(x88271),x88273))+~P24(f337(f62(x88271),x88272))+E(f337(f337(f104(f893(x88271,a878)),x88272),x88273),f197(f893(x88271,a878)))+E(f337(f337(f104(x88271),f10(x88271,f337(f337(f113(f893(x88271,a878)),x88272),x88273))),f10(x88271,f337(f337(f104(f893(x88271,a878)),x88272),x88273))),f337(f337(f104(x88271),f10(x88271,x88272)),f10(x88271,x88273)))
% 198.24/198.43 [8828]~P105(x88281)+~P24(f337(f62(x88281),x88283))+~P24(f337(f62(x88281),x88282))+E(f337(f337(f104(f893(x88281,a878)),x88282),x88283),f197(f893(x88281,a878)))+E(f337(f337(f249(x88281),f15(x88281,f337(f337(f113(f893(x88281,a878)),x88282),x88283))),f15(x88281,f337(f337(f104(f893(x88281,a878)),x88282),x88283))),f337(f337(f249(x88281),f15(x88281,x88282)),f15(x88281,x88283)))
% 198.24/198.43 [8829]~P105(x88291)+~P24(f337(f62(x88291),x88293))+~P24(f337(f62(x88291),x88292))+E(f337(f337(f104(f893(x88291,a878)),x88292),x88293),f197(f893(x88291,a878)))+E(f337(f337(f250(x88291),f14(x88291,f337(f337(f113(f893(x88291,a878)),x88292),x88293))),f14(x88291,f337(f337(f104(f893(x88291,a878)),x88292),x88293))),f337(f337(f250(x88291),f14(x88291,x88292)),f14(x88291,x88293)))
% 198.24/198.43 [9042]~P105(x90421)+~P24(f337(f62(x90421),x90423))+~P24(f337(f62(x90421),x90422))+E(f337(f337(f104(f893(x90421,a878)),x90422),x90423),f197(f893(x90421,a878)))+E(f337(f337(f249(x90421),f12(x90421,f249(x90421),f337(f337(f113(f893(x90421,a878)),x90422),x90423))),f12(x90421,f249(x90421),f337(f337(f104(f893(x90421,a878)),x90422),x90423))),f337(f337(f249(x90421),f12(x90421,f249(x90421),x90422)),f12(x90421,f249(x90421),x90423)))
% 198.24/198.43 [9043]~P105(x90431)+~P24(f337(f62(x90431),x90433))+~P24(f337(f62(x90431),x90432))+E(f337(f337(f104(f893(x90431,a878)),x90432),x90433),f197(f893(x90431,a878)))+E(f337(f337(f250(x90431),f11(x90431,f250(x90431),f337(f337(f113(f893(x90431,a878)),x90432),x90433))),f11(x90431,f250(x90431),f337(f337(f104(f893(x90431,a878)),x90432),x90433))),f337(f337(f250(x90431),f11(x90431,f250(x90431),x90432)),f11(x90431,f250(x90431),x90433)))
% 198.24/198.43 [9827]~P122(x98273)+E(x98271,x98272)+~P24(f337(f337(f251(x98273),f2(x98273)),x98272))+~P24(f337(f337(f251(x98273),f2(x98273)),x98271))+~E(f337(f337(f262(x98273),x98271),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))),f337(f337(f262(x98273),x98272),f337(f106(a884),f337(f337(f81(a1),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)),f337(f337(f22(a1),f337(f337(f81(a1),a84),a84)),a100)))))
% 198.24/198.43 [6392]E(f848(x63921,x63922,x63923),x63924)+E(f337(x63921,x63924),f2(a884))+~E(f337(f337(f6(x63923,a884),x63921),x63922),f79(a884))+~P24(f337(f62(x63923),x63922))+~P24(f337(f337(f339(x63923),x63924),x63922))
% 198.24/198.43 [6454]E(f850(x64541,x64542,x64543),x64544)+E(f337(x64541,x64544),f2(a884))+~E(f337(f337(f6(x64543,a884),x64541),x64542),f337(a115,f2(a884)))+~P24(f337(f62(x64543),x64542))+~P24(f337(f337(f339(x64543),x64544),x64542))
% 198.24/198.43 [6562]~P105(x65621)+~P28(x65621)+P24(f337(f337(f252(x65621),x65622),f40(x65621,x65623)))+~P24(f337(f337(f252(x65621),x65622),x65624))+~P24(f337(f337(f339(x65621),x65624),x65623))
% 198.24/198.43 [6735]~P105(x67351)+~P28(x67351)+~P24(f337(f337(f252(x67351),x67354),x67353))+P24(f337(f337(f252(x67351),f41(x67351,x67352)),x67353))+~P24(f337(f337(f339(x67351),x67354),x67352))
% 198.24/198.43 [6993]~P122(x69933)+E(x69931,x69932)+~E(f337(f337(f262(x69933),x69931),f337(a115,x69934)),f337(f337(f262(x69933),x69932),f337(a115,x69934)))+~P24(f337(f337(f251(x69933),f2(x69933)),x69932))+~P24(f337(f337(f251(x69933),f2(x69933)),x69931))
% 198.24/198.43 [7204]~E(f855(x72042,x72043,x72041,x72044),x72044)+~E(f337(x72042,x72044),f79(a884))+E(f337(f337(f6(x72041,a884),x72042),x72043),f79(a884))+~P24(f337(f62(x72041),x72043))+~P24(f337(f337(f339(x72041),x72044),x72043))
% 198.24/198.43 [7211]~P110(x72114)+~P130(x72114)+E(f337(x72111,f840(x72111,x72112,x72113,x72114)),f2(x72114))+~E(f337(f337(f9(x72113,x72114),x72111),x72112),f2(x72114))+~P24(f337(f62(x72113),x72112))
% 198.24/198.43 [7298]~E(f853(x72982,x72983,x72981,x72984),x72984)+~E(f337(x72982,x72984),f337(a115,f2(a884)))+E(f337(f337(f6(x72981,a884),x72982),x72983),f337(a115,f2(a884)))+~P24(f337(f62(x72981),x72983))+~P24(f337(f337(f339(x72981),x72984),x72983))
% 198.24/198.43 [8037]~E(f337(x80372,x80374),f79(a884))+~E(f337(x80372,f855(x80372,x80373,x80371,x80374)),f2(a884))+E(f337(f337(f6(x80371,a884),x80372),x80373),f79(a884))+~P24(f337(f62(x80371),x80373))+~P24(f337(f337(f339(x80371),x80374),x80373))
% 198.24/198.43 [8075]~E(f337(x80752,x80754),f337(a115,f2(a884)))+~E(f337(x80752,f853(x80752,x80753,x80751,x80754)),f2(a884))+E(f337(f337(f6(x80751,a884),x80752),x80753),f337(a115,f2(a884)))+~P24(f337(f62(x80751),x80753))+~P24(f337(f337(f339(x80751),x80754),x80753))
% 198.24/198.43 [8614]~P105(x86141)+~P30(x86141,x86144)+P30(x86141,x86142)+~E(x86142,f337(f337(f153(x86141),x86143),x86144))+~P24(f337(f337(f251(x86141),x86143),f755(x86142,x86141,x86144,x86143)))
% 198.24/198.43 [8648]E(x86481,x86482)+E(f337(f337(f22(a1),f385(x86483,x86482,x86484,x86481)),f386(x86483,x86482,x86484,x86481)),x86481)+~E(f337(f337(f81(a1),x86481),x86484),x86482)+~P24(f337(f337(f252(a1),f2(a1)),x86484))+~P24(f337(f337(f339(a1),x86482),x86483))
% 198.24/198.43 [8649]E(x86491,x86492)+E(f337(f337(f81(a1),f389(x86493,x86492,x86494,x86491)),f390(x86493,x86492,x86494,x86491)),x86491)+~E(f337(f337(f22(a1),x86491),x86494),x86492)+~P24(f337(f337(f252(a1),f2(a1)),x86494))+~P24(f337(f337(f339(a1),x86492),x86493))
% 198.24/198.43 [8824]E(f337(x88241,f620(x88242,x88241,x88243,x88244)),x88242)+P24(f337(f337(f251(a884),x88244),f621(x88242,x88241,x88243,x88244)))+~P24(f337(f337(f251(a1),x88242),f337(x88241,x88243)))+~P24(f337(f337(f252(a884),x88244),x88243))+~P24(f337(f337(f251(a1),f337(x88241,x88244)),x88242))
% 198.24/198.43 [8825]~P105(x88251)+~P30(x88251,x88253)+P30(x88251,x88252)+~E(x88252,f337(f337(f153(x88251),x88254),x88253))+P24(f337(f337(f339(x88251),f755(x88252,x88251,x88253,x88254)),f337(f175(x88251),x88253)))
% 198.24/198.43 [8843]~P110(x88434)+~P130(x88434)+~E(f337(f337(f9(x88431,x88434),x88432),x88433),f2(x88434))+~P24(f337(f62(x88431),x88433))+P24(f337(f337(f339(x88431),f840(x88432,x88433,x88431,x88434)),x88433))
% 198.24/198.43 [8877]~E(f337(x88772,x88774),f79(a884))+E(f337(f337(f6(x88771,a884),x88772),x88773),f79(a884))+~P24(f337(f62(x88771),x88773))+~P24(f337(f337(f339(x88771),x88774),x88773))+P24(f337(f337(f339(x88771),f855(x88772,x88773,x88771,x88774)),x88773))
% 198.24/198.43 [8886]E(x88861,x88862)+~E(f337(f337(f81(a1),x88862),x88864),x88861)+~P24(f337(f337(f252(a1),f2(a1)),x88864))+~P24(f337(f337(f339(a1),x88861),x88863))+P24(f337(f337(f339(a1),f385(x88863,x88861,x88864,x88862)),x88863))
% 198.24/198.43 [8887]E(x88871,x88872)+~E(f337(f337(f22(a1),x88872),x88874),x88871)+~P24(f337(f337(f252(a1),f2(a1)),x88874))+~P24(f337(f337(f339(a1),x88871),x88873))+P24(f337(f337(f339(a1),f389(x88873,x88871,x88874,x88872)),x88873))
% 198.24/198.43 [8889]~E(f337(x88892,x88894),f337(a115,f2(a884)))+E(f337(f337(f6(x88891,a884),x88892),x88893),f337(a115,f2(a884)))+~P24(f337(f62(x88891),x88893))+~P24(f337(f337(f339(x88891),x88894),x88893))+P24(f337(f337(f339(x88891),f853(x88892,x88893,x88891,x88894)),x88893))
% 198.24/198.43 [8894]P55(x88942,x88943,x88944,x88941)+E(x88941,f197(f893(x88942,a878)))+~P24(f337(f62(x88942),x88944))+~P24(f337(f62(x88942),x88941))+P24(f337(f337(f339(x88942),f519(x88941,x88944,x88943,x88942)),x88944))
% 198.24/198.43 [8975]E(x89751,x89752)+~E(f337(f337(f81(a1),x89752),x89754),x89751)+~P24(f337(f337(f252(a1),f2(a1)),x89754))+~P24(f337(f337(f339(a1),x89751),x89753))+P24(f337(f337(f339(a1),f386(x89753,x89751,x89754,x89752)),f308(a1,f79(a1),x89754)))
% 198.24/198.43 [8976]E(x89761,x89762)+~E(f337(f337(f22(a1),x89762),x89764),x89761)+~P24(f337(f337(f252(a1),f2(a1)),x89764))+~P24(f337(f337(f339(a1),x89761),x89763))+P24(f337(f337(f339(a1),f390(x89763,x89761,x89764,x89762)),f308(a1,f79(a1),x89764)))
% 198.24/198.43 [9048]P24(f337(f337(f251(a884),x90481),f620(x90482,x90483,x90484,x90481)))+~P24(f337(f337(f251(a1),x90482),f337(x90483,x90484)))+P24(f337(f337(f251(a884),x90481),f621(x90482,x90483,x90484,x90481)))+~P24(f337(f337(f252(a884),x90481),x90484))+~P24(f337(f337(f251(a1),f337(x90483,x90481)),x90482))
% 198.24/198.43 [9160]E(f337(x91601,f620(x91602,x91601,x91603,x91604)),x91602)+~P24(f337(f337(f251(a1),x91602),f337(x91601,x91603)))+P24(f337(f337(f252(a884),f621(x91602,x91601,x91603,x91604)),x91603))+~P24(f337(f337(f252(a884),x91604),x91603))+~P24(f337(f337(f251(a1),f337(x91601,x91604)),x91602))
% 198.24/198.43 [9285]~P24(f337(f337(f251(a1),x92852),f337(x92853,x92854)))+P24(f337(f337(f251(a884),x92851),f621(x92852,x92853,x92854,x92851)))+P24(f337(f337(f251(a884),f620(x92852,x92853,x92854,x92851)),x92854))+~P24(f337(f337(f252(a884),x92851),x92854))+~P24(f337(f337(f251(a1),f337(x92853,x92851)),x92852))
% 198.24/198.43 [9286]~P24(f337(f337(f251(a1),x92862),f337(x92863,x92864)))+P24(f337(f337(f251(a884),x92861),f620(x92862,x92863,x92864,x92861)))+P24(f337(f337(f252(a884),f621(x92862,x92863,x92864,x92861)),x92864))+~P24(f337(f337(f252(a884),x92861),x92864))+~P24(f337(f337(f251(a1),f337(x92863,x92861)),x92862))
% 198.24/198.43 [9389]~P24(f337(f337(f251(a1),x93891),f337(x93892,x93893)))+P24(f337(f337(f252(a884),f621(x93891,x93892,x93893,x93894)),x93893))+~P24(f337(f337(f252(a884),x93894),x93893))+~P24(f337(f337(f251(a1),f337(x93892,x93894)),x93891))+P24(f337(f337(f251(a884),f620(x93891,x93892,x93893,x93894)),x93893))
% 198.24/198.43 [9469]E(x94691,f197(f893(x94692,a878)))+~P24(f337(f62(x94692),x94694))+~P24(f337(f62(x94692),x94691))+P24(f337(f337(f339(f892(f893(x94692,a878),f893(x94692,a878))),f337(f337(f272(f893(x94692,a878),f893(x94692,a878)),x94694),x94691)),f329(x94692,x94693)))+P24(f337(f337(f339(x94692),f528(x94693,x94691,x94694,x94692)),x94694))
% 198.24/198.43 [9470]E(x94701,f197(f893(x94702,a878)))+~P24(f337(f62(x94702),x94704))+~P24(f337(f62(x94702),x94701))+P24(f337(f337(f339(f892(f893(x94702,a878),f893(x94702,a878))),f337(f337(f272(f893(x94702,a878),f893(x94702,a878)),x94704),x94701)),f329(x94702,x94703)))+P24(f337(f337(f339(x94702),f583(x94703,x94701,x94704,x94702)),x94704))
% 198.24/198.43 [10126]E(f337(x101261,f620(x101262,x101261,x101263,x101264)),x101262)+~P24(f337(f337(f251(a1),x101262),f337(x101261,x101263)))+~P24(f337(f337(f251(a1),f337(f76(a1),f337(f337(f22(a1),f337(x101261,f337(f337(f81(a884),f621(x101262,x101261,x101263,x101264)),f79(a884)))),f337(x101261,f621(x101262,x101261,x101263,x101264))))),f79(a1)))+~P24(f337(f337(f252(a884),x101264),x101263))+~P24(f337(f337(f251(a1),f337(x101261,x101264)),x101262))
% 198.24/198.43 [10127]~P24(f337(f337(f251(a1),x101272),f337(x101273,x101274)))+P24(f337(f337(f251(a884),x101271),f620(x101272,x101273,x101274,x101271)))+~P24(f337(f337(f251(a1),f337(f76(a1),f337(f337(f22(a1),f337(x101273,f337(f337(f81(a884),f621(x101272,x101273,x101274,x101271)),f79(a884)))),f337(x101273,f621(x101272,x101273,x101274,x101271))))),f79(a1)))+~P24(f337(f337(f252(a884),x101271),x101274))+~P24(f337(f337(f251(a1),f337(x101273,x101271)),x101272))
% 198.24/198.43 [10128]~P24(f337(f337(f251(a1),x101281),f337(x101282,x101283)))+~P24(f337(f337(f251(a1),f337(f76(a1),f337(f337(f22(a1),f337(x101282,f337(f337(f81(a884),f621(x101281,x101282,x101283,x101284)),f79(a884)))),f337(x101282,f621(x101281,x101282,x101283,x101284))))),f79(a1)))+~P24(f337(f337(f252(a884),x101284),x101283))+~P24(f337(f337(f251(a1),f337(x101282,x101284)),x101281))+P24(f337(f337(f251(a884),f620(x101281,x101282,x101283,x101284)),x101283))
% 198.24/198.43 [7265]~P60(x72651)+P24(f337(f337(f252(x72651),x72652),f2(x72651)))+~P24(f337(f337(f251(x72651),x72653),f2(x72651)))+P24(f337(f337(f252(x72651),f2(x72651)),x72652))+P24(f337(f337(f251(x72651),x72653),f337(f337(f295(x72651),x72654),x72652)))
% 198.24/198.43 [7266]~P60(x72661)+P24(f337(f337(f252(x72661),x72662),f2(x72661)))+~P24(f337(f337(f252(x72661),x72663),f2(x72661)))+P24(f337(f337(f252(x72661),f2(x72661)),x72662))+P24(f337(f337(f252(x72661),x72663),f337(f337(f295(x72661),x72664),x72662)))
% 198.24/198.43 [7515]~P60(x75151)+P24(f337(f337(f251(x75151),x75152),f2(x75151)))+P24(f337(f337(f252(x75151),x75153),f2(x75151)))+P24(f337(f337(f252(x75151),f2(x75151)),x75153))+~P24(f337(f337(f251(x75151),x75152),f337(f337(f295(x75151),x75154),x75153)))
% 198.24/198.43 [7516]~P60(x75161)+P24(f337(f337(f252(x75161),x75162),f2(x75161)))+P24(f337(f337(f252(x75161),x75163),f2(x75161)))+P24(f337(f337(f252(x75161),f2(x75161)),x75163))+~P24(f337(f337(f252(x75161),x75162),f337(f337(f295(x75161),x75164),x75163)))
% 198.24/198.43 [7636]E(x76361,x76362)+~E(f337(f337(f167(x76363),x76364),x76361),f337(f337(f167(x76363),x76364),x76362))+~P24(f337(f139(x76363),x76364))+~P24(f337(f337(f252(a884),x76362),f337(f198(f885(x76363)),x76364)))+~P24(f337(f337(f252(a884),x76361),f337(f198(f885(x76363)),x76364)))
% 198.24/198.43 [7997]~P60(x79971)+~P24(f337(f337(f251(x79971),x79973),f2(x79971)))+P24(f337(f337(f252(x79971),f2(x79971)),x79972))+~P24(f337(f337(f251(x79971),x79974),f337(f337(f82(x79971),x79973),x79972)))+P24(f337(f337(f251(x79971),x79973),f337(f337(f295(x79971),x79974),x79972)))
% 198.24/198.43 [7998]~P60(x79981)+~P24(f337(f337(f252(x79981),x79983),f2(x79981)))+P24(f337(f337(f252(x79981),f2(x79981)),x79982))+~P24(f337(f337(f252(x79981),x79984),f337(f337(f82(x79981),x79983),x79982)))+P24(f337(f337(f252(x79981),x79983),f337(f337(f295(x79981),x79984),x79982)))
% 198.24/198.43 [7999]~P60(x79991)+~P24(f337(f337(f252(x79991),x79992),f2(x79991)))+P24(f337(f337(f252(x79991),f2(x79991)),x79992))+~P24(f337(f337(f251(x79991),x79994),f337(f337(f82(x79991),x79993),x79992)))+P24(f337(f337(f251(x79991),x79993),f337(f337(f295(x79991),x79994),x79992)))
% 198.24/198.43 [8000]~P60(x80001)+~P24(f337(f337(f252(x80001),x80002),f2(x80001)))+P24(f337(f337(f252(x80001),f2(x80001)),x80002))+~P24(f337(f337(f251(x80001),x80004),f337(f337(f295(x80001),x80003),x80002)))+P24(f337(f337(f251(x80001),x80003),f337(f337(f82(x80001),x80004),x80002)))
% 198.24/198.43 [8001]~P60(x80011)+~P24(f337(f337(f252(x80011),x80012),f2(x80011)))+P24(f337(f337(f252(x80011),f2(x80011)),x80012))+~P24(f337(f337(f252(x80011),x80014),f337(f337(f82(x80011),x80013),x80012)))+P24(f337(f337(f252(x80011),x80013),f337(f337(f295(x80011),x80014),x80012)))
% 198.24/198.43 [8002]~P60(x80021)+~P24(f337(f337(f252(x80021),x80022),f2(x80021)))+P24(f337(f337(f252(x80021),f2(x80021)),x80022))+~P24(f337(f337(f252(x80021),x80024),f337(f337(f295(x80021),x80023),x80022)))+P24(f337(f337(f252(x80021),x80023),f337(f337(f82(x80021),x80024),x80022)))
% 198.24/198.43 [8140]~P105(x81401)+~P30(x81401,x81402)+~P24(f337(f337(f251(a884),x81403),x81404))+P24(f337(f337(f251(x81401),f337(f337(f167(x81401),x81402),x81403)),f337(f337(f167(x81401),x81402),x81404)))+~P24(f337(f337(f252(a884),x81404),f337(f198(f885(x81401)),x81402)))
% 198.24/198.43 [8190]~P122(x81901)+~P24(f337(f337(f251(x81901),x81902),f79(x81901)))+~P24(f337(f337(f251(x81901),f2(x81901)),x81902))+~P24(f337(f337(f251(a884),x81904),x81903))+P24(f337(f337(f251(x81901),f337(f337(f262(x81901),x81902),x81903)),f337(f337(f262(x81901),x81902),x81904)))
% 198.24/198.43 [8191]~P122(x81911)+~P24(f337(f337(f252(x81911),x81912),f79(x81911)))+~P24(f337(f337(f252(x81911),f2(x81911)),x81912))+~P24(f337(f337(f252(a884),x81914),x81913))+P24(f337(f337(f252(x81911),f337(f337(f262(x81911),x81912),x81913)),f337(f337(f262(x81911),x81912),x81914)))
% 198.24/198.43 [8192]~P122(x81921)+~P24(f337(f337(f251(x81921),f2(x81921)),x81922))+~P24(f337(f337(f252(a884),f2(a884)),x81923))+~P24(f337(f337(f252(x81921),x81922),x81924))+P24(f337(f337(f252(x81921),f337(f337(f262(x81921),x81922),x81923)),f337(f337(f262(x81921),x81924),x81923)))
% 198.24/198.43 [8212]~P105(x82121)+~P30(x82121,f337(f171(x82121),x82122))+~P24(f337(f337(f251(a884),x82124),x82123))+P24(f337(f337(f251(x82121),f337(f337(f167(x82121),x82122),x82123)),f337(f337(f167(x82121),x82122),x82124)))+~P24(f337(f337(f252(a884),x82123),f337(f198(f885(x82121)),x82122)))
% 198.24/198.43 [8456]~P60(x84561)+~P24(f337(f337(f251(x84561),x84562),f2(x84561)))+~P24(f337(f337(f251(x84561),x84563),x84564))+~P24(f337(f337(f252(x84561),f2(x84561)),f337(f337(f82(x84561),x84563),x84564)))+P24(f337(f337(f251(x84561),f337(f337(f295(x84561),x84562),x84563)),f337(f337(f295(x84561),x84562),x84564)))
% 198.24/198.43 [8457]~P61(x84571)+~P24(f337(f337(f252(x84571),x84572),f2(x84571)))+~P24(f337(f337(f252(x84571),x84573),x84574))+~P24(f337(f337(f252(x84571),f2(x84571)),f337(f337(f82(x84571),x84573),x84574)))+P24(f337(f337(f252(x84571),f337(f337(f295(x84571),x84572),x84573)),f337(f337(f295(x84571),x84572),x84574)))
% 198.24/198.43 [8466]~P61(x84661)+~P24(f337(f337(f251(x84661),x84664),x84663))+~P24(f337(f337(f251(x84661),f2(x84661)),x84662))+~P24(f337(f337(f252(x84661),f2(x84661)),f337(f337(f82(x84661),x84663),x84664)))+P24(f337(f337(f251(x84661),f337(f337(f295(x84661),x84662),x84663)),f337(f337(f295(x84661),x84662),x84664)))
% 198.24/198.43 [8467]~P61(x84671)+~P24(f337(f337(f252(x84671),x84674),x84673))+~P24(f337(f337(f252(x84671),f2(x84671)),x84672))+~P24(f337(f337(f252(x84671),f2(x84671)),f337(f337(f82(x84671),x84673),x84674)))+P24(f337(f337(f252(x84671),f337(f337(f295(x84671),x84672),x84673)),f337(f337(f295(x84671),x84672),x84674)))
% 198.24/198.43 [8564]P24(f337(x85641,x85642))+~P24(f337(f62(x85644),x85642))+P24(f337(x85641,f459(x85641,x85643,x85642,x85644)))+~P24(f337(x85641,f197(f893(x85644,a878))))+~P24(f337(f337(f251(f893(x85644,a878)),x85642),x85643))
% 198.24/198.43 [8572]P24(f337(x85721,x85722))+P24(f337(f62(x85723),f459(x85721,x85724,x85722,x85723)))+~P24(f337(f62(x85723),x85722))+~P24(f337(x85721,f197(f893(x85723,a878))))+~P24(f337(f337(f251(f893(x85723,a878)),x85722),x85724))
% 198.24/198.43 [8819]E(f337(f337(f81(a1),f391(x88191,x88192,x88193,x88194)),f392(x88191,x88192,x88193,x88194)),x88194)+~P24(f337(f337(f252(a1),f2(a1)),x88193))+~P24(f337(f337(f252(a1),x88192),x88194))+~P24(f337(f337(f339(a1),x88192),x88191))+P24(f337(f337(f252(a1),x88192),f337(f337(f22(a1),x88194),x88193)))
% 198.24/198.43 [9029]~P24(f337(f337(f252(a1),f2(a1)),x90293))+~P24(f337(f337(f252(a1),x90292),x90294))+~P24(f337(f337(f339(a1),x90292),x90291))+P24(f337(f337(f339(a1),f391(x90291,x90292,x90293,x90294)),x90291))+P24(f337(f337(f252(a1),x90292),f337(f337(f22(a1),x90294),x90293)))
% 198.24/198.43 [9041]P24(f337(x90411,x90412))+~P24(f337(f62(x90413),x90412))+P24(f337(f337(f339(x90413),f453(x90411,x90414,x90412,x90413)),x90414))+~P24(f337(x90411,f197(f893(x90413,a878))))+~P24(f337(f337(f251(f893(x90413,a878)),x90412),x90414))
% 198.24/198.43 [9058]E(f337(f337(f81(a1),f378(x90581,x90582,x90583,x90584)),f379(x90581,x90582,x90583,x90584)),x90584)+~P24(f337(f337(f252(a1),f2(a1)),x90583))+~P24(f337(f337(f251(a1),x90582),x90584))+P24(f337(f337(f251(a1),x90582),f337(f337(f22(a1),x90584),x90583)))+~P24(f337(f337(f339(a1),f337(f337(f22(a1),x90582),f79(a1))),x90581))
% 198.24/198.43 [9109]~P24(f337(f337(f252(a1),f2(a1)),x91093))+~P24(f337(f337(f252(a1),x91091),x91092))+~P24(f337(f337(f339(a1),x91091),x91094))+P24(f337(f337(f339(a1),f392(x91094,x91091,x91093,x91092)),f308(a1,f79(a1),x91093)))+P24(f337(f337(f252(a1),x91091),f337(f337(f22(a1),x91092),x91093)))
% 198.24/198.43 [9135]~P70(x91352)+~E(f811(x91353,x91354,x91351,x91352),f812(x91353,x91354,x91351,x91352))+~P24(f337(f62(x91351),f813(x91353,x91354,x91351,x91352)))+E(f337(f337(f6(f893(x91351,a878),x91352),f337(f6(x91351,x91352),x91353)),x91354),f337(f337(f6(x91351,x91352),x91353),f40(f893(x91351,a878),x91354)))+~P24(f337(f62(f893(x91351,a878)),x91354))
% 198.24/198.43 [9141]~P70(x91412)+~E(f337(x91413,f814(x91413,x91414,x91411,x91412)),f2(x91412))+~P24(f337(f62(x91411),f813(x91413,x91414,x91411,x91412)))+E(f337(f337(f6(f893(x91411,a878),x91412),f337(f6(x91411,x91412),x91413)),x91414),f337(f337(f6(x91411,x91412),x91413),f40(f893(x91411,a878),x91414)))+~P24(f337(f62(f893(x91411,a878)),x91414))
% 198.24/198.43 [9204]~P24(f337(f337(f252(a1),f2(a1)),x92043))+~P24(f337(f337(f251(a1),x92042),x92044))+P24(f337(f337(f339(a1),f378(x92041,x92042,x92043,x92044)),x92041))+P24(f337(f337(f251(a1),x92042),f337(f337(f22(a1),x92044),x92043)))+~P24(f337(f337(f339(a1),f337(f337(f22(a1),x92042),f79(a1))),x92041))
% 198.24/198.43 [9244]~P24(f337(f337(f252(a1),f2(a1)),x92443))+~P24(f337(f337(f251(a1),x92441),x92442))+P24(f337(f337(f339(a1),f379(x92444,x92441,x92443,x92442)),f308(a1,f79(a1),x92443)))+P24(f337(f337(f251(a1),x92441),f337(f337(f22(a1),x92442),x92443)))+~P24(f337(f337(f339(a1),f337(f337(f22(a1),x92441),f79(a1))),x92444))
% 198.24/198.43 [9264]~P70(x92642)+~E(f811(x92643,x92644,x92641,x92642),f812(x92643,x92644,x92641,x92642))+E(f337(f337(f6(f893(x92641,a878),x92642),f337(f6(x92641,x92642),x92643)),x92644),f337(f337(f6(x92641,x92642),x92643),f40(f893(x92641,a878),x92644)))+P24(f337(f337(f339(f893(x92641,a878)),f813(x92643,x92644,x92641,x92642)),x92644))+~P24(f337(f62(f893(x92641,a878)),x92644))
% 198.24/198.43 [9269]~P70(x92692)+~E(f337(x92693,f814(x92693,x92694,x92691,x92692)),f2(x92692))+E(f337(f337(f6(f893(x92691,a878),x92692),f337(f6(x92691,x92692),x92693)),x92694),f337(f337(f6(x92691,x92692),x92693),f40(f893(x92691,a878),x92694)))+P24(f337(f337(f339(f893(x92691,a878)),f813(x92693,x92694,x92691,x92692)),x92694))+~P24(f337(f62(f893(x92691,a878)),x92694))
% 198.24/198.43 [9367]~P70(x93672)+~P24(f337(f62(x93671),f813(x93673,x93674,x93671,x93672)))+E(f337(f337(f6(f893(x93671,a878),x93672),f337(f6(x93671,x93672),x93673)),x93674),f337(f337(f6(x93671,x93672),x93673),f40(f893(x93671,a878),x93674)))+P24(f337(f337(f339(f893(x93671,a878)),f812(x93673,x93674,x93671,x93672)),x93674))+~P24(f337(f62(f893(x93671,a878)),x93674))
% 198.24/198.43 [9368]~P70(x93682)+~P24(f337(f62(x93681),f813(x93683,x93684,x93681,x93682)))+E(f337(f337(f6(f893(x93681,a878),x93682),f337(f6(x93681,x93682),x93683)),x93684),f337(f337(f6(x93681,x93682),x93683),f40(f893(x93681,a878),x93684)))+P24(f337(f337(f339(f893(x93681,a878)),f811(x93683,x93684,x93681,x93682)),x93684))+~P24(f337(f62(f893(x93681,a878)),x93684))
% 198.24/198.43 [9441]~P70(x94412)+E(f337(f337(f6(f893(x94411,a878),x94412),f337(f6(x94411,x94412),x94413)),x94414),f337(f337(f6(x94411,x94412),x94413),f40(f893(x94411,a878),x94414)))+P24(f337(f337(f339(f893(x94411,a878)),f813(x94413,x94414,x94411,x94412)),x94414))+P24(f337(f337(f339(f893(x94411,a878)),f812(x94413,x94414,x94411,x94412)),x94414))+~P24(f337(f62(f893(x94411,a878)),x94414))
% 198.24/198.43 [9442]~P70(x94422)+E(f337(f337(f6(f893(x94421,a878),x94422),f337(f6(x94421,x94422),x94423)),x94424),f337(f337(f6(x94421,x94422),x94423),f40(f893(x94421,a878),x94424)))+P24(f337(f337(f339(f893(x94421,a878)),f813(x94423,x94424,x94421,x94422)),x94424))+P24(f337(f337(f339(f893(x94421,a878)),f811(x94423,x94424,x94421,x94422)),x94424))+~P24(f337(f62(f893(x94421,a878)),x94424))
% 198.24/198.43 [9458]~P70(x94582)+P24(f337(f337(f339(x94581),f814(x94583,x94584,x94581,x94582)),f812(x94583,x94584,x94581,x94582)))+~P24(f337(f62(x94581),f813(x94583,x94584,x94581,x94582)))+E(f337(f337(f6(f893(x94581,a878),x94582),f337(f6(x94581,x94582),x94583)),x94584),f337(f337(f6(x94581,x94582),x94583),f40(f893(x94581,a878),x94584)))+~P24(f337(f62(f893(x94581,a878)),x94584))
% 198.24/198.43 [9459]~P70(x94592)+P24(f337(f337(f339(x94591),f814(x94593,x94594,x94591,x94592)),f811(x94593,x94594,x94591,x94592)))+~P24(f337(f62(x94591),f813(x94593,x94594,x94591,x94592)))+E(f337(f337(f6(f893(x94591,a878),x94592),f337(f6(x94591,x94592),x94593)),x94594),f337(f337(f6(x94591,x94592),x94593),f40(f893(x94591,a878),x94594)))+~P24(f337(f62(f893(x94591,a878)),x94594))
% 198.24/198.43 [9472]P24(f337(x94721,x94722))+~P24(f337(f337(f339(x94723),f453(x94721,x94724,x94722,x94723)),f459(x94721,x94724,x94722,x94723)))+~P24(f337(f62(x94723),x94722))+~P24(f337(x94721,f197(f893(x94723,a878))))+~P24(f337(f337(f251(f893(x94723,a878)),x94722),x94724))
% 198.24/198.43 [9512]~P70(x95122)+P24(f337(f337(f339(x95121),f814(x95123,x95124,x95121,x95122)),f812(x95123,x95124,x95121,x95122)))+E(f337(f337(f6(f893(x95121,a878),x95122),f337(f6(x95121,x95122),x95123)),x95124),f337(f337(f6(x95121,x95122),x95123),f40(f893(x95121,a878),x95124)))+P24(f337(f337(f339(f893(x95121,a878)),f813(x95123,x95124,x95121,x95122)),x95124))+~P24(f337(f62(f893(x95121,a878)),x95124))
% 198.24/198.43 [9513]~P70(x95132)+P24(f337(f337(f339(x95131),f814(x95133,x95134,x95131,x95132)),f811(x95133,x95134,x95131,x95132)))+E(f337(f337(f6(f893(x95131,a878),x95132),f337(f6(x95131,x95132),x95133)),x95134),f337(f337(f6(x95131,x95132),x95133),f40(f893(x95131,a878),x95134)))+P24(f337(f337(f339(f893(x95131,a878)),f813(x95133,x95134,x95131,x95132)),x95134))+~P24(f337(f62(f893(x95131,a878)),x95134))
% 198.24/198.43 [9685]P24(f337(x96851,x96852))+~P24(f337(f62(x96853),x96852))+~P24(f337(x96851,f337(f337(f315(x96853),f453(x96851,x96854,x96852,x96853)),f459(x96851,x96854,x96852,x96853))))+~P24(f337(x96851,f197(f893(x96853,a878))))+~P24(f337(f337(f251(f893(x96853,a878)),x96852),x96854))
% 198.24/198.43 [7772]~P60(x77721)+P24(f337(f337(f252(x77721),x77722),f2(x77721)))+~P24(f337(f337(f251(x77721),f2(x77721)),x77724))+P24(f337(f337(f252(x77721),f2(x77721)),x77722))+P24(f337(f337(f251(x77721),f337(f337(f295(x77721),x77723),x77722)),x77724))
% 198.24/198.43 [7773]~P60(x77731)+P24(f337(f337(f252(x77731),x77732),f2(x77731)))+P24(f337(f337(f252(x77731),f2(x77731)),x77732))+~P24(f337(f337(f252(x77731),f2(x77731)),x77734))+P24(f337(f337(f252(x77731),f337(f337(f295(x77731),x77733),x77732)),x77734))
% 198.24/198.43 [8050]~P24(f337(f337(f251(a1),x80504),f2(a1)))+~E(x80502,f337(f337(f81(a1),f337(f337(f82(a1),x80501),x80503)),x80504))+P24(f337(f337(f252(a1),f2(a1)),x80501))+~P24(f337(f337(f252(a1),x80501),x80504))+P24(f337(f49(x80502,x80501),f337(f337(f272(a1,a1),x80503),x80504)))
% 198.24/198.43 [8084]~P24(f337(x80841,x80844))+P24(f337(x80841,f404(x80842,x80841,x80843)))+~P24(f337(f337(f251(a1),f2(a1)),x80842))+~P24(f337(f337(f252(a1),f2(a1)),x80843))+P24(f337(x80841,f337(f337(f22(a1),x80844),f337(f337(f82(a1),x80842),x80843))))
% 198.24/198.43 [8085]~P24(f337(x80851,x80854))+P24(f337(x80851,f411(x80852,x80851,x80853)))+~P24(f337(f337(f251(a1),f2(a1)),x80852))+~P24(f337(f337(f252(a1),f2(a1)),x80853))+P24(f337(x80851,f337(f337(f81(a1),x80854),f337(f337(f82(a1),x80852),x80853))))
% 198.24/198.43 [8086]~P60(x80861)+P24(f337(f337(f252(x80861),x80862),f2(x80861)))+P24(f337(f337(f252(x80861),f2(x80861)),x80862))+P24(f337(f337(f251(x80861),f2(x80861)),x80863))+~P24(f337(f337(f251(x80861),f337(f337(f295(x80861),x80864),x80862)),x80863))
% 198.24/198.43 [8087]~P60(x80871)+P24(f337(f337(f252(x80871),x80872),f2(x80871)))+P24(f337(f337(f252(x80871),f2(x80871)),x80872))+P24(f337(f337(f252(x80871),f2(x80871)),x80873))+~P24(f337(f337(f252(x80871),f337(f337(f295(x80871),x80874),x80872)),x80873))
% 198.24/198.43 [8135]~E(x81351,f337(f337(f81(a1),f337(f337(f82(a1),x81352),x81353)),x81354))+~P24(f337(f337(f251(a1),f2(a1)),x81354))+~P24(f337(f337(f252(a1),f2(a1)),x81352))+~P24(f337(f337(f252(a1),x81354),x81352))+P24(f337(f49(x81351,x81352),f337(f337(f272(a1,a1),x81353),x81354)))
% 198.24/198.43 [8256]~P60(x82561)+P24(f337(f337(f252(x82561),x82562),f2(x82561)))+~P24(f337(f337(f251(x82561),f2(x82561)),x82564))+~P24(f337(f337(f251(x82561),x82563),f337(f337(f82(x82561),x82564),x82562)))+P24(f337(f337(f251(x82561),f337(f337(f295(x82561),x82563),x82562)),x82564))
% 198.24/198.43 [8257]~P60(x82571)+P24(f337(f337(f252(x82571),x82572),f2(x82571)))+~P24(f337(f337(f252(x82571),f2(x82571)),x82574))+~P24(f337(f337(f252(x82571),x82573),f337(f337(f82(x82571),x82574),x82572)))+P24(f337(f337(f252(x82571),f337(f337(f295(x82571),x82573),x82572)),x82574))
% 198.24/198.43 [8339]~P60(x83391)+P24(f337(f337(f252(x83391),x83392),f2(x83391)))+~P24(f337(f337(f251(x83391),x83393),f2(x83391)))+P24(f337(f337(f251(x83391),x83393),f337(f337(f295(x83391),x83394),x83392)))+~P24(f337(f337(f251(x83391),f337(f337(f82(x83391),x83393),x83392)),x83394))
% 198.24/198.43 [8340]~P60(x83401)+P24(f337(f337(f252(x83401),x83402),f2(x83401)))+~P24(f337(f337(f252(x83401),x83403),f2(x83401)))+P24(f337(f337(f252(x83401),x83403),f337(f337(f295(x83401),x83404),x83402)))+~P24(f337(f337(f252(x83401),f337(f337(f82(x83401),x83403),x83402)),x83404))
% 198.24/198.43 [8489]~P60(x84891)+~P24(f337(f337(f252(x84891),x84892),f2(x84891)))+P24(f337(f337(f252(x84891),f2(x84891)),x84892))+~P24(f337(f337(f251(x84891),f337(f337(f295(x84891),x84894),x84892)),x84893))+P24(f337(f337(f251(x84891),f337(f337(f82(x84891),x84893),x84892)),x84894))
% 198.24/198.43 [8490]~P60(x84901)+~P24(f337(f337(f252(x84901),x84902),f2(x84901)))+P24(f337(f337(f252(x84901),f2(x84901)),x84902))+~P24(f337(f337(f251(x84901),f337(f337(f82(x84901),x84904),x84902)),x84903))+P24(f337(f337(f251(x84901),f337(f337(f295(x84901),x84903),x84902)),x84904))
% 198.24/198.43 [8491]~P60(x84911)+~P24(f337(f337(f252(x84911),x84912),f2(x84911)))+P24(f337(f337(f252(x84911),f2(x84911)),x84912))+~P24(f337(f337(f252(x84911),f337(f337(f295(x84911),x84914),x84912)),x84913))+P24(f337(f337(f252(x84911),f337(f337(f82(x84911),x84913),x84912)),x84914))
% 198.24/198.43 [8492]~P60(x84921)+~P24(f337(f337(f252(x84921),x84922),f2(x84921)))+P24(f337(f337(f252(x84921),f2(x84921)),x84922))+~P24(f337(f337(f252(x84921),f337(f337(f82(x84921),x84924),x84922)),x84923))+P24(f337(f337(f252(x84921),f337(f337(f295(x84921),x84923),x84922)),x84924))
% 198.24/198.43 [8510]~P60(x85101)+~P24(f337(f337(f251(x85101),f2(x85101)),x85104))+P24(f337(f337(f252(x85101),f2(x85101)),x85102))+~P24(f337(f337(f251(x85101),f337(f337(f82(x85101),x85104),x85102)),x85103))+P24(f337(f337(f251(x85101),f337(f337(f295(x85101),x85103),x85102)),x85104))
% 198.24/198.43 [8511]~P60(x85111)+~P24(f337(f337(f252(x85111),f2(x85111)),x85114))+P24(f337(f337(f252(x85111),f2(x85111)),x85112))+~P24(f337(f337(f252(x85111),f337(f337(f82(x85111),x85114),x85112)),x85113))+P24(f337(f337(f252(x85111),f337(f337(f295(x85111),x85113),x85112)),x85114))
% 198.24/198.43 [8580]~P60(x85801)+~P24(f337(f337(f252(x85801),x85804),f2(x85801)))+~P24(f337(f337(f251(x85801),x85803),f337(f337(f82(x85801),x85802),x85804)))+P24(f337(f337(f251(x85801),x85802),f337(f337(f295(x85801),x85803),x85804)))+~P24(f337(f337(f251(x85801),f337(f337(f82(x85801),x85802),x85804)),x85803))
% 198.24/198.43 [8581]~P60(x85811)+~P24(f337(f337(f251(x85811),x85812),f2(x85811)))+~P24(f337(f337(f251(x85811),x85813),f337(f337(f82(x85811),x85812),x85814)))+P24(f337(f337(f251(x85811),x85812),f337(f337(f295(x85811),x85813),x85814)))+~P24(f337(f337(f251(x85811),f337(f337(f82(x85811),x85812),x85814)),x85813))
% 198.24/198.43 [8582]~P60(x85821)+~P24(f337(f337(f252(x85821),x85824),f2(x85821)))+~P24(f337(f337(f252(x85821),x85823),f337(f337(f82(x85821),x85822),x85824)))+P24(f337(f337(f252(x85821),x85822),f337(f337(f295(x85821),x85823),x85824)))+~P24(f337(f337(f252(x85821),f337(f337(f82(x85821),x85822),x85824)),x85823))
% 198.24/198.43 [8583]~P60(x85831)+~P24(f337(f337(f252(x85831),x85832),f2(x85831)))+~P24(f337(f337(f252(x85831),x85833),f337(f337(f82(x85831),x85832),x85834)))+P24(f337(f337(f252(x85831),x85832),f337(f337(f295(x85831),x85833),x85834)))+~P24(f337(f337(f252(x85831),f337(f337(f82(x85831),x85832),x85834)),x85833))
% 198.24/198.43 [8695]~P60(x86951)+~P24(f337(f337(f252(x86951),x86953),f2(x86951)))+~P24(f337(f337(f251(x86951),x86952),f337(f337(f82(x86951),x86954),x86953)))+~P24(f337(f337(f251(x86951),f337(f337(f82(x86951),x86954),x86953)),x86952))+P24(f337(f337(f251(x86951),f337(f337(f295(x86951),x86952),x86953)),x86954))
% 198.24/198.43 [8696]~P60(x86961)+~P24(f337(f337(f252(x86961),x86963),f2(x86961)))+~P24(f337(f337(f252(x86961),x86962),f337(f337(f82(x86961),x86964),x86963)))+~P24(f337(f337(f252(x86961),f337(f337(f82(x86961),x86964),x86963)),x86962))+P24(f337(f337(f252(x86961),f337(f337(f295(x86961),x86962),x86963)),x86964))
% 198.24/198.43 [8712]~P60(x87121)+~P24(f337(f337(f251(x87121),f2(x87121)),x87124))+~P24(f337(f337(f251(x87121),x87122),f337(f337(f82(x87121),x87124),x87123)))+~P24(f337(f337(f251(x87121),f337(f337(f82(x87121),x87124),x87123)),x87122))+P24(f337(f337(f251(x87121),f337(f337(f295(x87121),x87122),x87123)),x87124))
% 198.24/198.43 [8713]~P60(x87131)+~P24(f337(f337(f252(x87131),f2(x87131)),x87134))+~P24(f337(f337(f252(x87131),x87132),f337(f337(f82(x87131),x87134),x87133)))+~P24(f337(f337(f252(x87131),f337(f337(f82(x87131),x87134),x87133)),x87132))+P24(f337(f337(f252(x87131),f337(f337(f295(x87131),x87132),x87133)),x87134))
% 198.24/198.43 [8879]E(f337(f337(f22(a1),f401(x88791,x88792,x88793,x88794)),f402(x88791,x88792,x88793,x88794)),x88794)+~P24(f337(f337(f252(a1),f2(a1)),x88793))+~P24(f337(f337(f339(a1),x88792),x88791))+~P24(f337(f337(f252(a1),x88794),x88792))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x88794),x88793)),x88792))
% 198.24/198.43 [8959]~P24(f337(x89591,x89592))+~P24(f337(f337(f251(a1),f2(a1)),x89593))+~P24(f337(f337(f252(a1),f2(a1)),x89594))+~P24(f337(x89591,f337(f337(f22(a1),f404(x89593,x89591,x89594)),x89594)))+P24(f337(x89591,f337(f337(f22(a1),x89592),f337(f337(f82(a1),x89593),x89594))))
% 198.24/198.43 [8960]~P24(f337(x89601,x89602))+~P24(f337(f337(f251(a1),f2(a1)),x89603))+~P24(f337(f337(f252(a1),f2(a1)),x89604))+~P24(f337(x89601,f337(f337(f81(a1),f411(x89603,x89601,x89604)),x89604)))+P24(f337(x89601,f337(f337(f81(a1),x89602),f337(f337(f82(a1),x89603),x89604))))
% 198.24/198.43 [9103]~P24(f337(f337(f252(a1),f2(a1)),x91033))+~P24(f337(f337(f339(a1),x91032),x91031))+~P24(f337(f337(f252(a1),x91034),x91032))+P24(f337(f337(f339(a1),f401(x91031,x91032,x91033,x91034)),x91031))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x91034),x91033)),x91032))
% 198.24/198.43 [9123]E(f337(f337(f22(a1),f387(x91231,x91232,x91233,x91234)),f388(x91231,x91232,x91233,x91234)),x91234)+~P24(f337(f337(f252(a1),f2(a1)),x91233))+~P24(f337(f337(f251(a1),x91234),x91232))+~P24(f337(f337(f339(a1),f337(f337(f81(a1),x91232),f79(a1))),x91231))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x91234),x91233)),x91232))
% 198.24/198.43 [9152]~P24(f337(f337(f252(a1),f2(a1)),x91522))+~P24(f337(f337(f339(a1),x91523),x91524))+~P24(f337(f337(f252(a1),x91521),x91523))+P24(f337(f337(f339(a1),f402(x91524,x91523,x91522,x91521)),f308(a1,f79(a1),x91522)))+P24(f337(f337(f252(a1),f337(f337(f81(a1),x91521),x91522)),x91523))
% 198.24/198.43 [9239]~P24(f337(f337(f252(a1),f2(a1)),x92393))+~P24(f337(f337(f251(a1),x92394),x92392))+P24(f337(f337(f339(a1),f387(x92391,x92392,x92393,x92394)),x92391))+~P24(f337(f337(f339(a1),f337(f337(f81(a1),x92392),f79(a1))),x92391))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x92394),x92393)),x92392))
% 198.24/198.43 [9281]~P24(f337(f337(f252(a1),f2(a1)),x92812))+~P24(f337(f337(f251(a1),x92811),x92813))+P24(f337(f337(f339(a1),f388(x92814,x92813,x92812,x92811)),f308(a1,f79(a1),x92812)))+~P24(f337(f337(f339(a1),f337(f337(f81(a1),x92813),f79(a1))),x92814))+P24(f337(f337(f251(a1),f337(f337(f81(a1),x92811),x92812)),x92813))
% 198.24/198.43 [9561]~P39(x95611,x95613)+~P22(x95611,x95614)+P39(x95611,f337(f337(f113(f893(f892(x95611,x95611),a878)),x95612),x95613))+~P24(f337(f337(f251(f893(f892(x95611,x95611),a878)),x95612),f337(f271(f893(f892(x95611,x95611),a878),f893(f892(x95611,x95611),a878)),x95614)))+~P24(f337(f337(f251(f893(f892(x95611,x95611),a878)),x95613),f337(f275(f893(f892(x95611,x95611),a878),f893(f892(x95611,x95611),a878)),x95614)))
% 198.24/198.43 [9855]~E(f337(f666(x98551,x98554,x98553,x98552),f668(x98551,x98554,x98553,x98552)),f210(f885(a333)))+P24(f337(f337(f252(a1),f667(x98551,x98554,x98553,x98552)),f668(x98551,x98554,x98553,x98552)))+P24(f337(f337(f337(x98551,x98552),x98553),x98554))+P24(f337(f337(f337(x98551,f666(x98551,x98554,x98553,x98552)),f667(x98551,x98554,x98553,x98552)),f337(f337(f81(a1),f668(x98551,x98554,x98553,x98552)),f79(a1))))+~P24(f337(f325(f892(f893(a1,f887(f885(a333))),f892(a1,a1)),a323),f337(f337(f272(f893(a1,f887(f885(a333))),f892(a1,a1)),x98552),f337(f337(f272(a1,a1),x98553),x98554))))
% 198.24/198.43 [9954]~P14(x99542,x99544,x99543)+E(x99541,f197(f893(x99542,a878)))+~P24(f337(f62(x99542),x99541))+P24(f337(f337(f339(x99542),f337(x99543,x99541)),x99541))+~P24(f337(f337(f339(x99542),f337(f337(x99544,f433(x99541,x99543,x99544,x99542)),f445(x99541,x99543,x99544,x99542))),f337(f337(f315(x99542),f433(x99541,x99543,x99544,x99542)),f337(f337(f315(x99542),f445(x99541,x99543,x99544,x99542)),f197(f893(x99542,a878))))))
% 198.24/198.43 [9885]~P106(x98852)+~P57(x98851)+~P24(f337(f337(f251(f893(x98851,x98852)),x98853),x98854))+P24(f337(f337(f252(f893(x98851,x98852)),x98853),x98854))+~P24(f337(f58(x98851),f337(f337(f8(a878,a878,x98851),a332),f337(f337(f18(x98851,x98852,a878),f337(f337(f8(x98852,f893(x98852,a878),x98851),a334),x98853)),x98854))))
% 198.24/198.43 [9479]~P51(x94791,x94791,x94794)+P24(f337(f337(f339(f892(x94791,x94791)),f337(f337(f272(x94791,x94791),x94792),x94793)),f313(x94791,x94794)))+P24(f337(f337(f339(f892(x94791,x94791)),f337(f337(f272(x94791,x94791),x94793),x94792)),f313(x94791,x94794)))+~P24(f337(f337(f339(f892(x94791,x94791)),f337(f337(f272(x94791,x94791),x94795),x94792)),f313(x94791,x94794)))+~P24(f337(f337(f339(f892(x94791,x94791)),f337(f337(f272(x94791,x94791),x94795),x94793)),f313(x94791,x94794)))
% 198.24/198.43 [5673]E(x56731,f2(a884))+~E(f337(f38(x56732),x56735),x56731)+E(f337(f38(x56732),x56733),f337(a115,x56731))+~E(x56733,f337(f337(f315(x56732),x56734),x56735))+P24(f337(f337(f339(x56732),x56734),x56735))
% 198.24/198.43 [5799]~P59(x57992)+E(x57991,f2(x57992))+E(x57993,f2(x57992))+~E(f337(f337(f295(x57992),x57994),x57993),f337(f337(f295(x57992),x57995),x57991))+E(f337(f337(f82(x57992),x57994),x57991),f337(f337(f82(x57992),x57995),x57993))
% 198.24/198.43 [5800]~P59(x58002)+E(x58001,f2(x58002))+E(x58003,f2(x58002))+~E(f337(f337(f82(x58002),x58004),x58003),f337(f337(f82(x58002),x58005),x58001))+E(f337(f337(f295(x58002),x58004),x58001),f337(f337(f295(x58002),x58005),x58003))
% 198.24/198.43 [5867]~E(f337(f38(x58671),x58675),x58673)+~E(x58675,f197(f893(x58671,a878)))+E(f337(f38(x58671),x58672),f337(a115,x58673))+~E(x58672,f337(f337(f315(x58671),x58674),x58675))+P24(f337(f337(f339(x58671),x58674),x58675))
% 198.24/198.43 [6093]~P110(x60932)+~E(f337(x60933,x60935),f2(x60932))+E(f337(f337(f9(x60931,x60932),x60933),x60934),f2(x60932))+~P24(f337(f62(x60931),x60934))+~P24(f337(f337(f339(x60931),x60935),x60934))
% 198.24/198.43 [6467]~P105(x64673)+E(x64671,x64672)+~E(f337(f307(x64673,x64674),x64671),f337(f307(x64673,x64675),x64672))+~P24(f337(f337(f252(x64673),x64675),x64672))+~P24(f337(f337(f252(x64673),x64674),x64671))
% 198.24/198.43 [6468]~P105(x64683)+E(x64681,x64682)+~E(f337(f307(x64683,x64681),x64684),f337(f307(x64683,x64682),x64685))+~P24(f337(f337(f252(x64683),x64682),x64685))+~P24(f337(f337(f252(x64683),x64681),x64684))
% 198.24/198.43 [7532]~P105(x75321)+~P30(x75321,f337(f337(f136(x75321),x75324),x75325))+~P24(f337(f337(f339(x75321),x75323),f337(f175(x75321),x75325)))+~P24(f337(f337(f339(x75321),x75322),f337(f175(x75321),x75324)))+P24(f337(f337(f251(x75321),x75322),x75323))
% 198.24/198.43 [8616]~P106(x86161)+~P24(f337(f337(f252(f893(x86161,a878)),f308(x86161,x86165,x86162)),f308(x86161,x86164,x86163)))+~P24(f337(f337(f251(x86161),x86165),x86162))+P24(f337(f337(f252(x86161),x86162),x86163))+P24(f337(f337(f252(x86161),x86164),x86165))
% 198.24/198.43 [9997]~P13(x99972,x99975,x99973)+E(x99971,f197(f893(x99972,a878)))+~E(f337(f337(x99975,f337(x99974,f541(x99971,x99974,x99973,x99975,x99972))),f337(x99974,f553(x99971,x99974,x99973,x99975,x99972))),f337(x99974,f337(f337(x99975,f541(x99971,x99974,x99973,x99975,x99972)),f553(x99971,x99974,x99973,x99975,x99972))))+E(f337(x99973,f337(f316(x99972,x99972,x99974),x99971)),f337(x99974,f337(x99973,x99971)))+~P24(f337(f62(x99972),x99971))
% 198.24/198.43 [6464]~P14(x64642,x64645,x64643)+E(x64641,f197(f893(x64642,a878)))+~P24(f337(f62(x64642),x64641))+E(f337(x64643,f337(f337(f315(x64642),x64644),x64641)),f337(f337(x64645,x64644),f337(x64643,x64641)))+P24(f337(f337(f339(x64642),x64644),x64641))
% 198.24/198.43 [7289]~P13(x72892,x72893,x72894)+E(f337(f337(x72893,f337(x72894,x72891)),f337(x72894,x72895)),f337(x72894,x72895))+E(x72891,f197(f893(x72892,a878)))+~P24(f337(f62(x72892),x72895))+~P24(f337(f337(f251(f893(x72892,a878)),x72891),x72895))
% 198.24/198.43 [7508]~P57(x75084)+~P95(x75085)+E(f337(x75081,x75082),f337(x75083,x75082))+~P24(f337(f337(f339(x75084),x75082),f337(f175(x75084),f56(x75084))))+~P24(f337(f337(f92(f893(x75084,x75085)),x75081),x75083))
% 198.24/198.43 [7669]~P14(x76694,x76695,x76691)+E(f337(x76691,x76692),x76693)+~P24(f337(f62(x76694),x76692))+~E(f337(f337(f22(f893(x76694,a878)),x76692),f337(f337(f315(x76694),x76693),f197(f893(x76694,a878)))),f197(f893(x76694,a878)))+~P24(f337(f337(f339(x76694),x76693),x76692))
% 198.24/198.43 [7755]E(x77551,x77552)+~E(f337(f198(f885(x77553)),x77552),f337(f198(f885(x77554)),x77555))+~E(f337(f198(f885(x77553)),x77551),f337(f198(f885(x77554)),x77555))+~E(f337(f181(x77554,x77553),f337(f337(f185(x77554,x77553),x77555),x77551)),f337(f181(x77554,x77553),f337(f337(f185(x77554,x77553),x77555),x77552)))+~P24(f337(f139(x77554),x77555))
% 198.24/198.43 [8587]E(x85871,x85872)+~P6(x85873,x85874,x85875)+E(f337(f337(f104(f893(x85873,a878)),x85871),x85872),f197(f893(x85873,a878)))+~P24(f337(f337(f339(f893(x85873,a878)),x85872),f337(f337(f61(x85873),x85874),x85875)))+~P24(f337(f337(f339(f893(x85873,a878)),x85871),f337(f337(f61(x85873),x85874),x85875)))
% 198.24/198.43 [9358]~P70(x93582)+~E(f337(x93583,f872(x93583,x93584,x93585,x93581,x93582)),f2(x93582))+E(f337(f337(f6(x93581,x93582),x93583),x93584),f337(f337(f6(x93581,x93582),x93583),x93585))+~P24(f337(f62(x93581),x93585))+~P24(f337(f337(f251(f893(x93581,a878)),x93584),x93585))
% 198.24/198.43 [9359]~P70(x93592)+~E(f337(x93593,f874(x93593,x93594,x93595,x93591,x93592)),f2(x93592))+E(f337(f337(f6(x93591,x93592),x93593),x93594),f337(f337(f6(x93591,x93592),x93593),x93595))+~P24(f337(f62(x93591),x93595))+~P24(f337(f337(f251(f893(x93591,a878)),x93594),x93595))
% 198.24/198.43 [9360]~P74(x93602)+~E(f337(x93603,f842(x93603,x93604,x93605,x93601,x93602)),f79(x93602))+E(f337(f337(f9(x93601,x93602),x93603),x93604),f337(f337(f9(x93601,x93602),x93603),x93605))+~P24(f337(f62(x93601),x93605))+~P24(f337(f337(f251(f893(x93601,a878)),x93604),x93605))
% 198.24/198.43 [9361]~P74(x93612)+~E(f337(x93613,f845(x93613,x93614,x93615,x93611,x93612)),f79(x93612))+E(f337(f337(f9(x93611,x93612),x93613),x93614),f337(f337(f9(x93611,x93612),x93613),x93615))+~P24(f337(f62(x93611),x93615))+~P24(f337(f337(f251(f893(x93611,a878)),x93614),x93615))
% 198.24/198.43 [9835]~P88(x98351)+~P24(f337(f62(x98352),x98355))+~P24(f337(f337(f251(x98351),f2(x98351)),f337(x98353,f859(x98353,x98354,x98355,x98352,x98351))))+P24(f337(f337(f251(x98351),f337(f337(f6(x98352,x98351),x98353),x98354)),f337(f337(f6(x98352,x98351),x98353),x98355)))+~P24(f337(f337(f251(f893(x98352,a878)),x98354),x98355))
% 198.24/198.43 [7529]E(x75291,f2(a884))+P24(f337(x75292,x75293))+~E(x75294,f337(f337(f81(a884),f337(f337(f82(a884),x75291),x75293)),x75295))+~P24(f337(f337(f252(a884),x75295),x75291))+~P24(f337(x75292,f337(f337(f39(a884),x75294),x75291)))
% 198.24/198.43 [7609]E(x76091,f2(a884))+P24(f337(x76092,x76093))+~P24(f337(x76092,f45(a884,x76094,x76091)))+~E(x76094,f337(f337(f81(a884),f337(f337(f82(a884),x76091),x76095)),x76093))+~P24(f337(f337(f252(a884),x76093),x76091))
% 198.24/198.43 [7899]~P59(x78993)+E(f337(x78991,x78992),f2(x78993))+~P24(f337(f62(x78994),x78995))+E(f337(f337(f9(x78994,x78993),x78991),f337(f337(f22(f893(x78994,a878)),x78995),f337(f337(f315(x78994),x78992),f197(f893(x78994,a878))))),f337(f337(f9(x78994,x78993),x78991),x78995))+P24(f337(f337(f339(x78994),x78992),x78995))
% 198.24/198.43 [8297]~P70(x82971)+~P24(f337(f62(x82972),x82975))+~P24(f337(f62(x82972),x82974))+~E(f337(f337(f104(f893(x82972,a878)),x82974),x82975),f197(f893(x82972,a878)))+E(f337(f337(f81(x82971),f337(f337(f6(x82972,x82971),x82973),x82974)),f337(f337(f6(x82972,x82971),x82973),x82975)),f337(f337(f6(x82972,x82971),x82973),f337(f337(f113(f893(x82972,a878)),x82974),x82975)))
% 198.24/198.43 [8299]~P74(x82991)+~P24(f337(f62(x82992),x82995))+~P24(f337(f62(x82992),x82994))+~E(f337(f337(f104(f893(x82992,a878)),x82994),x82995),f197(f893(x82992,a878)))+E(f337(f337(f82(x82991),f337(f337(f9(x82992,x82991),x82993),x82994)),f337(f337(f9(x82992,x82991),x82993),x82995)),f337(f337(f9(x82992,x82991),x82993),f337(f337(f113(f893(x82992,a878)),x82994),x82995)))
% 198.24/198.43 [8391]~P59(x83913)+E(f337(x83911,x83912),f2(x83913))+~P24(f337(f62(x83914),x83915))+E(f337(f337(f9(x83914,x83913),x83911),f337(f337(f22(f893(x83914,a878)),x83915),f337(f337(f315(x83914),x83912),f197(f893(x83914,a878))))),f337(f337(f295(x83913),f337(f337(f9(x83914,x83913),x83911),x83915)),f337(x83911,x83912)))+~P24(f337(f337(f339(x83914),x83912),x83915))
% 198.24/198.43 [9082]~P6(x90821,x90825,x90824)+~E(f337(f337(f61(x90821),f337(f337(f315(x90821),x90822),f197(f893(x90821,a878)))),x90824),f337(f337(f61(x90821),f337(f337(f315(x90821),x90823),f197(f893(x90821,a878)))),x90824))+~P24(f337(f337(f339(x90821),x90823),x90825))+~P24(f337(f337(f339(x90821),x90822),x90825))+P24(f337(f337(f339(f892(x90821,x90821)),f337(f337(f272(x90821,x90821),x90822),x90823)),x90824))
% 198.24/198.43 [9102]~P6(x91021,x91025,x91023)+E(f337(f337(f61(x91021),f337(f337(f315(x91021),x91022),f197(f893(x91021,a878)))),x91023),f337(f337(f61(x91021),f337(f337(f315(x91021),x91024),f197(f893(x91021,a878)))),x91023))+~P24(f337(f337(f339(x91021),x91024),x91025))+~P24(f337(f337(f339(x91021),x91022),x91025))+~P24(f337(f337(f339(f892(x91021,x91021)),f337(f337(f272(x91021,x91021),x91022),x91024)),x91023))
% 198.24/198.43 [9388]~P74(x93881)+~P24(f337(f62(x93882),x93885))+~P24(f337(f62(x93882),x93884))+~E(f337(f337(f104(f893(x93882,a878)),x93884),x93885),f197(f893(x93882,a878)))+E(f337(f337(f82(x93881),f337(f337(f337(f66(x93881,x93882,f82(x93881)),x93883),f79(x93881)),x93884)),f337(f337(f337(f66(x93881,x93882,f82(x93881)),x93883),f79(x93881)),x93885)),f337(f337(f337(f66(x93881,x93882,f82(x93881)),x93883),f79(x93881)),f337(f337(f113(f893(x93882,a878)),x93884),x93885)))
% 198.24/198.43 [9397]~P70(x93971)+~E(f337(x93973,f860(x93973,x93975,x93974,x93972,x93971)),f2(x93971))+~P24(f337(f62(x93972),x93974))+~P24(f337(f62(x93972),x93975))+E(f337(f337(f81(x93971),f337(f337(f6(x93972,x93971),x93973),x93974)),f337(f337(f6(x93972,x93971),x93973),x93975)),f337(f337(f6(x93972,x93971),x93973),f337(f337(f113(f893(x93972,a878)),x93974),x93975)))
% 198.24/198.43 [9398]~P70(x93981)+~E(f337(x93983,f861(x93983,x93985,x93984,x93982,x93981)),f2(x93981))+~P24(f337(f62(x93982),x93984))+~P24(f337(f62(x93982),x93985))+E(f337(f337(f81(x93981),f337(f337(f6(x93982,x93981),x93983),x93984)),f337(f337(f6(x93982,x93981),x93983),x93985)),f337(f337(f6(x93982,x93981),x93983),f337(f337(f113(f893(x93982,a878)),x93984),x93985)))
% 198.24/198.43 [9399]~P74(x93991)+~E(f337(x93993,f843(x93993,x93995,x93994,x93992,x93991)),f79(x93991))+~P24(f337(f62(x93992),x93994))+~P24(f337(f62(x93992),x93995))+E(f337(f337(f82(x93991),f337(f337(f9(x93992,x93991),x93993),x93994)),f337(f337(f9(x93992,x93991),x93993),x93995)),f337(f337(f9(x93992,x93991),x93993),f337(f337(f113(f893(x93992,a878)),x93994),x93995)))
% 198.24/198.43 [9400]~P74(x94001)+~E(f337(x94003,f844(x94003,x94005,x94004,x94002,x94001)),f79(x94001))+~P24(f337(f62(x94002),x94004))+~P24(f337(f62(x94002),x94005))+E(f337(f337(f82(x94001),f337(f337(f9(x94002,x94001),x94003),x94004)),f337(f337(f9(x94002,x94001),x94003),x94005)),f337(f337(f9(x94002,x94001),x94003),f337(f337(f113(f893(x94002,a878)),x94004),x94005)))
% 198.24/198.43 [9605]~P74(x96051)+~E(f337(x96053,f711(x96053,x96055,x96054,x96052,x96051)),f79(x96051))+~P24(f337(f62(x96052),x96054))+~P24(f337(f62(x96052),x96055))+E(f337(f337(f82(x96051),f337(f337(f337(f66(x96051,x96052,f82(x96051)),x96053),f79(x96051)),x96054)),f337(f337(f337(f66(x96051,x96052,f82(x96051)),x96053),f79(x96051)),x96055)),f337(f337(f337(f66(x96051,x96052,f82(x96051)),x96053),f79(x96051)),f337(f337(f113(f893(x96052,a878)),x96054),x96055)))
% 198.24/198.43 [9713]~P70(x97132)+E(f337(f337(f6(x97131,x97132),x97133),x97134),f337(f337(f6(x97131,x97132),x97133),x97135))+~P24(f337(f62(x97131),x97135))+~P24(f337(f337(f251(f893(x97131,a878)),x97134),x97135))+P24(f337(f337(f339(x97131),f872(x97133,x97134,x97135,x97131,x97132)),f337(f337(f22(f893(x97131,a878)),x97135),x97134)))
% 198.24/198.43 [9714]~P70(x97142)+E(f337(f337(f6(x97141,x97142),x97143),x97144),f337(f337(f6(x97141,x97142),x97143),x97145))+~P24(f337(f62(x97141),x97145))+~P24(f337(f337(f251(f893(x97141,a878)),x97144),x97145))+P24(f337(f337(f339(x97141),f874(x97143,x97144,x97145,x97141,x97142)),f337(f337(f22(f893(x97141,a878)),x97145),x97144)))
% 198.24/198.43 [9715]~P74(x97152)+E(f337(f337(f9(x97151,x97152),x97153),x97154),f337(f337(f9(x97151,x97152),x97153),x97155))+~P24(f337(f62(x97151),x97155))+~P24(f337(f337(f251(f893(x97151,a878)),x97154),x97155))+P24(f337(f337(f339(x97151),f842(x97153,x97154,x97155,x97151,x97152)),f337(f337(f22(f893(x97151,a878)),x97155),x97154)))
% 198.24/198.43 [9716]~P74(x97162)+E(f337(f337(f9(x97161,x97162),x97163),x97164),f337(f337(f9(x97161,x97162),x97163),x97165))+~P24(f337(f62(x97161),x97165))+~P24(f337(f337(f251(f893(x97161,a878)),x97164),x97165))+P24(f337(f337(f339(x97161),f845(x97163,x97164,x97165,x97161,x97162)),f337(f337(f22(f893(x97161,a878)),x97165),x97164)))
% 198.24/198.43 [9733]~P70(x97331)+~P24(f337(f62(x97332),x97334))+~P24(f337(f62(x97332),x97335))+E(f337(f337(f81(x97331),f337(f337(f6(x97332,x97331),x97333),x97334)),f337(f337(f6(x97332,x97331),x97333),x97335)),f337(f337(f6(x97332,x97331),x97333),f337(f337(f113(f893(x97332,a878)),x97334),x97335)))+P24(f337(f337(f339(x97332),f860(x97333,x97335,x97334,x97332,x97331)),f337(f337(f104(f893(x97332,a878)),x97334),x97335)))
% 198.24/198.43 [9734]~P70(x97341)+~P24(f337(f62(x97342),x97344))+~P24(f337(f62(x97342),x97345))+E(f337(f337(f81(x97341),f337(f337(f6(x97342,x97341),x97343),x97344)),f337(f337(f6(x97342,x97341),x97343),x97345)),f337(f337(f6(x97342,x97341),x97343),f337(f337(f113(f893(x97342,a878)),x97344),x97345)))+P24(f337(f337(f339(x97342),f861(x97343,x97345,x97344,x97342,x97341)),f337(f337(f104(f893(x97342,a878)),x97344),x97345)))
% 198.24/198.43 [9735]~P74(x97351)+~P24(f337(f62(x97352),x97354))+~P24(f337(f62(x97352),x97355))+E(f337(f337(f82(x97351),f337(f337(f9(x97352,x97351),x97353),x97354)),f337(f337(f9(x97352,x97351),x97353),x97355)),f337(f337(f9(x97352,x97351),x97353),f337(f337(f113(f893(x97352,a878)),x97354),x97355)))+P24(f337(f337(f339(x97352),f843(x97353,x97355,x97354,x97352,x97351)),f337(f337(f104(f893(x97352,a878)),x97354),x97355)))
% 198.24/198.43 [9736]~P74(x97361)+~P24(f337(f62(x97362),x97364))+~P24(f337(f62(x97362),x97365))+E(f337(f337(f82(x97361),f337(f337(f9(x97362,x97361),x97363),x97364)),f337(f337(f9(x97362,x97361),x97363),x97365)),f337(f337(f9(x97362,x97361),x97363),f337(f337(f113(f893(x97362,a878)),x97364),x97365)))+P24(f337(f337(f339(x97362),f844(x97363,x97365,x97364,x97362,x97361)),f337(f337(f104(f893(x97362,a878)),x97364),x97365)))
% 198.24/198.43 [9743]~P88(x97435)+~P24(f337(f62(x97431),x97434))+P24(f337(f337(f251(x97435),f337(f337(f6(x97431,x97435),x97432),x97433)),f337(f337(f6(x97431,x97435),x97432),x97434)))+~P24(f337(f337(f251(f893(x97431,a878)),x97433),x97434))+P24(f337(f337(f339(x97431),f859(x97432,x97433,x97434,x97431,x97435)),f337(f337(f22(f893(x97431,a878)),x97434),x97433)))
% 198.24/198.43 [9797]~P74(x97971)+~P24(f337(f62(x97972),x97974))+~P24(f337(f62(x97972),x97975))+E(f337(f337(f82(x97971),f337(f337(f337(f66(x97971,x97972,f82(x97971)),x97973),f79(x97971)),x97974)),f337(f337(f337(f66(x97971,x97972,f82(x97971)),x97973),f79(x97971)),x97975)),f337(f337(f337(f66(x97971,x97972,f82(x97971)),x97973),f79(x97971)),f337(f337(f113(f893(x97972,a878)),x97974),x97975)))+P24(f337(f337(f339(x97972),f711(x97973,x97975,x97974,x97972,x97971)),f337(f337(f104(f893(x97972,a878)),x97974),x97975)))
% 198.24/198.43 [8780]~P14(x87801,x87804,x87805)+~P24(f337(f62(x87801),x87802))+E(f337(f337(f22(f893(x87801,a878)),x87802),f337(f337(f315(x87801),x87803),f197(f893(x87801,a878)))),f197(f893(x87801,a878)))+~P24(f337(f337(f339(x87801),x87803),x87802))+E(f337(f337(x87804,x87803),f337(x87805,f337(f337(f22(f893(x87801,a878)),x87802),f337(f337(f315(x87801),x87803),f197(f893(x87801,a878)))))),f337(x87805,x87802))
% 198.24/198.43 [8853]~P14(x88531,x88534,x88535)+~P24(f337(f62(x88531),x88533))+~P24(f337(f62(x88531),x88532))+E(f337(f337(f104(f893(x88531,a878)),x88532),x88533),f197(f893(x88531,a878)))+E(f337(f337(x88534,f337(x88535,f337(f337(f113(f893(x88531,a878)),x88532),x88533))),f337(x88535,f337(f337(f104(f893(x88531,a878)),x88532),x88533))),f337(f337(x88534,f337(x88535,x88532)),f337(x88535,x88533)))
% 198.24/198.43 [9402]~P24(f337(f337(f251(a1),x94024),f2(a1)))+~P24(f337(f337(f252(a1),x94023),x94025))+P24(f337(f337(f251(a1),x94021),x94022))+~P24(f337(f337(f252(a1),x94023),x94024))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),f337(f337(f82(a1),x94023),x94022)),x94025)),f337(f337(f81(a1),f337(f337(f82(a1),x94023),x94021)),x94024)))
% 198.24/198.43 [9404]~P24(f337(f337(f251(a1),f2(a1)),x94045))+P24(f337(f337(f251(a1),x94041),x94042))+~P24(f337(f337(f252(a1),x94043),x94044))+~P24(f337(f337(f252(a1),x94045),x94044))+~P24(f337(f337(f251(a1),f337(f337(f81(a1),f337(f337(f82(a1),x94044),x94041)),x94045)),f337(f337(f81(a1),f337(f337(f82(a1),x94044),x94042)),x94043)))
% 198.24/198.43 [9517]~P59(x95175)+E(f337(x95171,f873(x95171,x95172,x95173,x95174,x95175)),f2(x95175))+~P24(f337(f62(x95174),x95173))+~P24(f337(f62(x95174),x95172))+E(f337(f337(f295(x95175),f337(f337(f82(x95175),f337(f337(f9(x95174,x95175),x95171),x95173)),f337(f337(f9(x95174,x95175),x95171),x95172))),f337(f337(f9(x95174,x95175),x95171),f337(f337(f104(f893(x95174,a878)),x95173),x95172))),f337(f337(f9(x95174,x95175),x95171),f337(f337(f113(f893(x95174,a878)),x95173),x95172)))
% 198.24/198.43 [9789]~P59(x97891)+~P24(f337(f62(x97892),x97894))+~P24(f337(f62(x97892),x97895))+E(f337(f337(f295(x97891),f337(f337(f82(x97891),f337(f337(f9(x97892,x97891),x97893),x97894)),f337(f337(f9(x97892,x97891),x97893),x97895))),f337(f337(f9(x97892,x97891),x97893),f337(f337(f104(f893(x97892,a878)),x97894),x97895))),f337(f337(f9(x97892,x97891),x97893),f337(f337(f113(f893(x97892,a878)),x97894),x97895)))+P24(f337(f337(f339(x97892),f873(x97893,x97895,x97894,x97892,x97891)),f337(f337(f104(f893(x97892,a878)),x97894),x97895)))
% 198.24/198.43 [9122]E(f337(f337(f136(x91221),x91222),x91223),f337(f337(f136(x91221),x91224),x91225))+~E(f337(f337(f178(x91221),f337(f198(f885(x91221)),x91224)),x91222),x91224)+~E(f337(f337(f178(x91221),f337(f198(f885(x91221)),x91222)),x91224),x91222)+~E(x91225,f337(f337(f136(x91221),f337(f337(f140(x91221),f337(f198(f885(x91221)),x91224)),x91222)),x91223))+~E(f337(f337(f136(x91221),f337(f337(f140(x91221),f337(f198(f885(x91221)),x91222)),x91224)),x91225),x91223)
% 198.24/198.43 [9515]~P105(x95152)+E(f337(f337(f150(x95151,x95152,x95153),x95154),f173(x95151,x95154,x95155)),x95155)+~P30(x95152,f337(f337(f156(x95151,x95152),x95153),x95155))+~P24(f337(f337(f339(x95151),x95154),f337(f175(x95151),x95155)))+~E(f337(f143(x95151),f337(f138(x95151,f337(f337(f8(x95152,a878,x95151),f337(a334,f337(x95153,x95154))),x95153)),x95155)),x95154)
% 198.24/198.43 [9852]~P68(x98521)+~P24(f337(f67(x98521,x98521,f82(x98521),x98522,x98523),x98525))+~P24(f337(f337(f339(x98521),x98524),x98523))+P24(f337(f337(f339(x98521),x98522),x98523))+P24(f337(f67(x98521,x98521,f82(x98521),x98524,f337(f337(f315(x98521),x98522),f337(f337(f22(f893(x98521,a878)),x98523),f337(f337(f315(x98521),x98524),f197(f893(x98521,a878)))))),x98525))
% 198.24/198.43 [7297]E(x72971,x72972)+~P21(x72974,x72975,x72973,x72976)+~E(f337(x72973,x72971),f337(x72973,x72972))+~P24(f337(f337(f339(x72974),x72972),x72976))+~P24(f337(f337(f339(x72974),x72971),x72976))
% 198.24/198.43 [6556]~P140(x65564)+E(x65561,x65562)+~E(x65565,x65566)+E(x65563,f2(x65564))+~E(f337(f337(f81(x65564),x65565),f337(f337(f82(x65564),x65563),x65561)),f337(f337(f81(x65564),x65566),f337(f337(f82(x65564),x65563),x65562)))
% 198.24/198.43 [7589]~P105(x75891)+~P28(x75891)+~P24(f337(f337(f252(x75891),x75892),f337(x75895,x75896)))+~P24(f337(f337(f339(x75893),x75896),x75894))+P24(f337(f337(f252(x75891),x75892),f337(f337(f42(x75893,x75891),x75894),x75895)))
% 198.24/198.43 [8267]~P105(x82671)+~P28(x82671)+~P24(f337(f337(f252(x82671),f337(x82674,x82676)),x82675))+~P24(f337(f337(f339(x82672),x82676),x82673))+P24(f337(f337(f252(x82671),f337(f337(f43(x82672,x82671),x82673),x82674)),x82675))
% 198.24/198.43 [8517]~P15(x85172,x85175,x85176,x85171)+~P24(f337(f62(x85172),x85174))+~P24(f337(f62(x85172),x85173))+~E(f337(f337(f104(f893(x85172,a878)),x85173),x85174),f197(f893(x85172,a878)))+E(f337(x85171,f337(f337(f113(f893(x85172,a878)),x85173),x85174)),f337(f74(x85175,x85175,x85175,f337(x85171,x85173)),f337(x85171,x85174)))
% 198.24/198.43 [8823]E(x88231,x88232)+~P53(x88234,x88235,x88236,x88233,x88237)+~E(f337(x88233,x88231),f337(x88233,x88232))+~P24(f337(f337(f339(x88235),x88232),x88237))+~P24(f337(f337(f339(x88235),x88231),x88237))
% 198.24/198.43 [10095]~P24(f337(x100952,x100954))+~E(x100955,f337(f138(x100951,x100952),x100957))+E(f337(f138(x100951,x100952),x100953),f337(f337(f153(x100951),x100954),x100955))+~E(x100953,f337(f337(f136(x100951),x100956),f337(f337(f153(x100951),x100954),x100957)))+P24(f337(x100952,f779(x100955,x100954,x100953,x100952,x100951,x100956,x100957)))
% 198.24/198.43 [10096]~P24(f337(x100964,x100962))+~E(x100963,f337(f138(x100961,x100964),x100967))+E(f337(f337(f153(x100961),x100962),x100963),f337(f138(x100961,x100964),x100965))+~E(x100965,f337(f337(f136(x100961),x100966),f337(f337(f153(x100961),x100962),x100967)))+P24(f337(x100964,f781(x100965,x100964,x100963,x100962,x100961,x100966,x100967)))
% 198.24/198.43 [10129]~P24(f337(x101292,x101294))+~E(x101295,f337(f138(x101291,x101292),x101297))+E(f337(f138(x101291,x101292),x101293),f337(f337(f153(x101291),x101294),x101295))+~E(x101293,f337(f337(f136(x101291),x101296),f337(f337(f153(x101291),x101294),x101297)))+P24(f337(f337(f339(x101291),f779(x101295,x101294,x101293,x101292,x101291,x101296,x101297)),f337(f175(x101291),x101296)))
% 198.24/198.43 [10130]~P24(f337(x101304,x101302))+~E(x101303,f337(f138(x101301,x101304),x101307))+E(f337(f337(f153(x101301),x101302),x101303),f337(f138(x101301,x101304),x101305))+~E(x101305,f337(f337(f136(x101301),x101306),f337(f337(f153(x101301),x101302),x101307)))+P24(f337(f337(f339(x101301),f781(x101305,x101304,x101303,x101302,x101301,x101306,x101307)),f337(f175(x101301),x101306)))
% 198.24/198.43 [10133]~P6(x101331,x101337,x101336)+~P9(x101331,f893(x101335,a878),x101336,x101334)+P24(f337(f337(f339(x101331),f511(x101332,x101333,x101334,x101335,x101336,x101337,x101331)),x101337))+~P24(f337(f337(f339(f893(x101331,a878)),x101333),f337(f337(f61(x101331),x101337),x101336)))+P24(f337(f337(f339(f893(x101335,a878)),f337(f337(f42(x101331,f893(x101335,a878)),x101333),x101334)),x101332))
% 198.24/198.43 [10182]~P6(x101822,x101826,x101827)+~P9(x101822,f893(x101821,a878),x101827,x101824)+~P24(f337(f337(f339(f893(x101822,a878)),x101823),f337(f337(f61(x101822),x101826),x101827)))+~P24(f337(f337(f339(f893(x101821,a878)),f337(x101824,f511(x101825,x101823,x101824,x101821,x101827,x101826,x101822))),x101825))+P24(f337(f337(f339(f893(x101821,a878)),f337(f337(f42(x101822,f893(x101821,a878)),x101823),x101824)),x101825))
% 198.24/198.43 [8435]~P74(x84352)+~P21(x84351,x84355,x84358,x84354)+~E(x84353,f337(f74(x84355,x84352,x84351,x84356),x84358))+~E(x84357,f337(f316(x84351,x84355,x84358),x84354))+E(f337(f337(f9(x84351,x84352),x84353),x84354),f337(f337(f9(x84355,x84352),x84356),x84357))
% 198.24/198.43 [10186]~P74(x101862)+~P21(x101865,x101861,x101868,x101867)+~E(f337(x101866,f576(x101863,x101866,x101864,x101867,x101868,x101861,x101865,x101862)),f337(f337(f74(x101861,x101862,x101865,x101863),x101868),f576(x101863,x101866,x101864,x101867,x101868,x101861,x101865,x101862)))+~E(x101864,f337(f316(x101865,x101861,x101868),x101867))+E(f337(f337(f9(x101861,x101862),x101863),x101864),f337(f337(f9(x101865,x101862),x101866),x101867))
% 198.24/198.43 [10188]~P70(x101882)+~P21(x101881,x101885,x101888,x101884)+~E(x101887,f337(f316(x101881,x101885,x101888),x101884))+E(f337(f337(f6(x101881,x101882),x101883),x101884),f337(f337(f6(x101885,x101882),x101886),x101887))+P24(f337(f337(f339(x101881),f586(x101886,x101883,x101887,x101884,x101888,x101885,x101881,x101882)),x101884))
% 198.24/198.43 [10189]~P74(x101892)+~P21(x101891,x101895,x101898,x101894)+~E(x101897,f337(f316(x101891,x101895,x101898),x101894))+E(f337(f337(f9(x101891,x101892),x101893),x101894),f337(f337(f9(x101895,x101892),x101896),x101897))+P24(f337(f337(f339(x101891),f576(x101896,x101893,x101897,x101894,x101898,x101895,x101891,x101892)),x101894))
% 198.24/198.43 [10195]~P70(x101952)+~P21(x101955,x101951,x101958,x101957)+~E(x101954,f337(f316(x101955,x101951,x101958),x101957))+~E(f337(x101956,f586(x101953,x101956,x101954,x101957,x101958,x101951,x101955,x101952)),f337(x101953,f337(x101958,f586(x101953,x101956,x101954,x101957,x101958,x101951,x101955,x101952))))+E(f337(f337(f6(x101951,x101952),x101953),x101954),f337(f337(f6(x101955,x101952),x101956),x101957))
% 198.24/198.43 [9567]~E(f337(f198(f885(x95672)),x95675),f337(f198(f885(x95671)),x95673))+~E(f337(f198(f885(x95672)),x95674),f337(f198(f885(x95671)),x95673))+~E(f337(f337(f337(f73(x95671,f887(x95672)),f337(f181(x95671,x95672),f337(f337(f185(x95671,x95672),x95673),x95674))),x95676),f337(f209(x95672),x95677)),f337(f337(f337(f73(x95671,f887(x95672)),f337(f181(x95671,x95672),f337(f337(f185(x95671,x95672),x95673),x95675))),x95676),f337(f209(x95672),x95678)))+E(f337(f181(x95671,x95672),f337(f337(f185(x95671,x95672),x95673),x95674)),f337(f181(x95671,x95672),f337(f337(f185(x95671,x95672),x95673),x95675)))+P24(f337(f337(f339(x95671),x95676),f337(f175(x95671),x95673)))
% 198.24/198.43 [9680]~P19(x96806,x96802,x96805,x96807,x96808,x96801)+~P24(f337(f62(x96802),x96804))+~P24(f337(f62(x96802),x96803))+~E(f337(f337(f104(f893(x96802,a878)),x96803),x96804),f197(f893(x96802,a878)))+E(f337(x96801,f337(f337(f113(f893(x96802,a878)),x96803),x96804)),f337(f337(x96805,f337(x96801,x96803)),f337(x96801,x96804)))
% 198.24/198.43 [10082]~P19(x100828,x100822,x100825,x100827,x100826,x100821)+~E(f337(x100826,f839(x100824,x100823,x100821,x100826,x100827,x100825,x100822)),x100827)+~P24(f337(f62(x100822),x100823))+~P24(f337(f62(x100822),x100824))+E(f337(x100821,f337(f337(f113(f893(x100822,a878)),x100823),x100824)),f337(f337(x100825,f337(x100821,x100823)),f337(x100821,x100824)))
% 198.24/198.43 [10140]~P19(x101408,x101402,x101405,x101407,x101406,x101401)+~P24(f337(f62(x101402),x101403))+~P24(f337(f62(x101402),x101404))+E(f337(x101401,f337(f337(f113(f893(x101402,a878)),x101403),x101404)),f337(f337(x101405,f337(x101401,x101403)),f337(x101401,x101404)))+P24(f337(f337(f339(x101402),f839(x101404,x101403,x101401,x101406,x101407,x101405,x101402)),f337(f337(f104(f893(x101402,a878)),x101403),x101404)))
% 198.24/198.43 [9840]~P6(x98404,x98408,x98405)+~P6(x98401,x98409,x98403)+~P10(x98401,x98404,f893(x98402,a878),x98403,x98405,x98407)+P9(x98401,f893(x98402,a878),x98403,f337(f337(f8(f893(x98404,f893(x98402,a878)),f893(x98402,a878),x98401),f337(f42(x98404,f893(x98402,a878)),f337(f291(x98404,x98404,x98405),f337(f337(f315(x98404),x98406),f197(f893(x98404,a878)))))),x98407))+~P24(f337(f337(f339(x98404),x98406),x98408))
% 198.24/198.43 [5478]~P105(x54783)+~P30(x54783,x54781)+E(x54781,f753(x54782,x54783))+~E(f337(f175(x54783),x54781),x54782)+~P24(f337(f62(x54783),x54782))+~P24(f337(f139(x54783),x54781))
% 198.24/198.43 [5097]~P113(x50972)+~P128(x50972)+~P130(x50972)+~P141(x50972)+E(x50971,f2(x50972))+~E(f337(f337(f262(x50972),x50971),x50973),f2(x50972))
% 198.24/198.43 [5098]~P113(x50982)+~P128(x50982)+~P130(x50982)+~P141(x50982)+~E(x50981,f2(a884))+~E(f337(f337(f262(x50982),x50983),x50981),f2(x50982))
% 198.24/198.43 [6538]~P88(x65381)+~E(x65383,f2(x65381))+~E(x65382,f2(x65381))+E(f337(f337(f81(x65381),x65382),x65383),f2(x65381))+~P24(f337(f337(f251(x65381),f2(x65381)),x65383))+~P24(f337(f337(f251(x65381),f2(x65381)),x65382))
% 198.24/198.43 [8884]~E(f337(f271(a884,a884),x88843),f2(a884))+~E(x88841,f337(f337(f81(a884),f337(f337(f82(a884),f337(f271(a884,a884),x88843)),x88842)),f337(f275(a884,a884),x88843)))+P24(f337(f48(x88841,x88842),x88843))+~P24(f337(f337(f251(a884),f337(f275(a884,a884),x88843)),f2(a884)))+P24(f337(f337(f252(a884),f2(a884)),x88842))+~P24(f337(f337(f252(a884),x88842),f337(f275(a884,a884),x88843)))
% 198.24/198.43 [8892]E(x88921,f2(a884))+~E(x88922,f337(f337(f81(a884),f337(f337(f82(a884),f337(f271(a884,a884),x88923)),x88921)),f337(f275(a884,a884),x88923)))+P24(f337(f48(x88922,x88921),x88923))+~P24(f337(f337(f252(a884),f2(a884)),x88921))+~P24(f337(f337(f251(a884),f2(a884)),f337(f275(a884,a884),x88923)))+~P24(f337(f337(f252(a884),f337(f275(a884,a884),x88923)),x88921))
% 198.24/198.43 [8910]~E(f337(f271(a884,a884),x89103),f2(a884))+~E(x89101,f337(f337(f81(a884),f337(f337(f82(a884),f337(f271(a884,a884),x89103)),x89102)),f337(f275(a884,a884),x89103)))+P24(f337(f48(x89101,x89102),x89103))+~P24(f337(f337(f252(a884),f2(a884)),x89102))+~P24(f337(f337(f251(a884),f2(a884)),f337(f275(a884,a884),x89103)))+~P24(f337(f337(f252(a884),f337(f275(a884,a884),x89103)),x89102))
% 198.24/198.43 [6921]~P64(x69212)+E(x69211,f197(f893(x69212,a878)))+E(x69213,f197(f893(x69212,a878)))+~P24(f337(f62(x69212),x69211))+~P24(f337(f62(x69212),x69213))+E(f13(x69212,f337(f337(f113(f893(x69212,a878)),x69213),x69211)),f337(f337(f113(x69212),f13(x69212,x69213)),f13(x69212,x69211)))
% 198.24/198.43 [6922]~P64(x69222)+E(x69221,f197(f893(x69222,a878)))+E(x69223,f197(f893(x69222,a878)))+~P24(f337(f62(x69222),x69221))+~P24(f337(f62(x69222),x69223))+E(f10(x69222,f337(f337(f113(f893(x69222,a878)),x69223),x69221)),f337(f337(f104(x69222),f10(x69222,x69223)),f10(x69222,x69221)))
% 198.24/198.43 [6923]~P105(x69232)+E(x69231,f197(f893(x69232,a878)))+E(x69233,f197(f893(x69232,a878)))+~P24(f337(f62(x69232),x69231))+~P24(f337(f62(x69232),x69233))+E(f14(x69232,f337(f337(f113(f893(x69232,a878)),x69233),x69231)),f337(f337(f250(x69232),f14(x69232,x69233)),f14(x69232,x69231)))
% 198.24/198.43 [6924]~P105(x69242)+E(x69241,f197(f893(x69242,a878)))+E(x69243,f197(f893(x69242,a878)))+~P24(f337(f62(x69242),x69241))+~P24(f337(f62(x69242),x69243))+E(f15(x69242,f337(f337(f113(f893(x69242,a878)),x69243),x69241)),f337(f337(f249(x69242),f15(x69242,x69243)),f15(x69242,x69241)))
% 198.24/198.43 [7564]~P96(x75642)+E(x75641,f197(f893(x75642,a878)))+E(x75643,f197(f893(x75642,a878)))+~P24(f337(f62(x75642),x75641))+~P24(f337(f62(x75642),x75643))+E(f337(f337(f82(x75642),f337(f64(x75642,f82(x75642)),x75643)),f337(f64(x75642,f82(x75642)),x75641)),f337(f64(x75642,f82(x75642)),f337(f337(f113(f893(x75642,a878)),x75643),x75641)))
% 198.24/198.43 [7723]~P105(x77232)+E(x77231,f197(f893(x77232,a878)))+E(x77233,f197(f893(x77232,a878)))+~P24(f337(f62(x77232),x77231))+~P24(f337(f62(x77232),x77233))+E(f337(f337(f250(x77232),f11(x77232,f250(x77232),x77233)),f11(x77232,f250(x77232),x77231)),f11(x77232,f250(x77232),f337(f337(f113(f893(x77232,a878)),x77233),x77231)))
% 198.24/198.43 [7724]~P105(x77242)+E(x77241,f197(f893(x77242,a878)))+E(x77243,f197(f893(x77242,a878)))+~P24(f337(f62(x77242),x77241))+~P24(f337(f62(x77242),x77243))+E(f337(f337(f249(x77242),f12(x77242,f249(x77242),x77243)),f12(x77242,f249(x77242),x77241)),f12(x77242,f249(x77242),f337(f337(f113(f893(x77242,a878)),x77243),x77241)))
% 198.24/198.43 [8733]~P24(f337(x87331,x87333))+P24(f337(x87331,f406(x87331,x87332)))+P24(f337(x87331,f396(x87331,x87332)))+~P24(f337(f337(f252(a1),f2(a1)),x87332))+~P24(f337(f337(f339(a1),x87333),f308(a1,f79(a1),x87332)))+P24(f337(x87331,f337(f337(f22(a1),f396(x87331,x87332)),f337(f337(f82(a1),f403(x87331,x87332)),x87332))))
% 198.24/198.43 [9022]~P24(f337(x90221,x90223))+~P24(f337(x90221,f396(x90221,x90222)))+P24(f337(x90221,f406(x90221,x90222)))+~P24(f337(f337(f252(a1),f2(a1)),x90222))+~P24(f337(f337(f339(a1),x90223),f308(a1,f79(a1),x90222)))+~P24(f337(x90221,f337(f337(f22(a1),f396(x90221,x90222)),f337(f337(f82(a1),f403(x90221,x90222)),x90222))))
% 198.24/198.43 [10218]~P98(x102182)+E(x102181,f197(f893(x102182,a878)))+E(x102183,f197(f893(x102182,a878)))+~P24(f337(f62(x102182),x102181))+~P24(f337(f62(x102182),x102183))+E(f10(x102182,f337(f257(x102182),f337(f337(f8(f893(x102182,a878),a878,x102182),f88(x102182)),f337(f337(f8(f893(x102182,f893(x102182,a878)),f893(x102182,a878),x102182),f337(f8(f893(x102182,a878),a878,x102182),f88(x102182))),f337(f337(f7(x102182,f893(x102182,f893(x102182,a878)),f893(x102182,f893(x102182,a878))),f337(f337(f8(f893(x102182,f893(f893(x102182,a878),f893(x102182,a878))),f893(f893(x102182,f893(x102182,a878)),f893(x102182,f893(x102182,a878))),x102182),f18(x102182,f893(x102182,a878),f893(x102182,a878))),f337(f337(f8(f893(x102182,f893(x102182,f893(a878,a878))),f893(x102182,f893(f893(x102182,a878),f893(x102182,a878))),x102182),f337(f8(f893(x102182,f893(a878,a878)),f893(f893(x102182,a878),f893(x102182,a878)),x102182),f18(x102182,a878,a878))),f337(f337(f8(f893(x102182,f893(x102182,a878)),f893(x102182,f893(x102182,f893(a878,a878))),x102182),f337(f8(f893(x102182,a878),f893(x102182,f893(a878,a878)),x102182),f337(f8(a878,f893(a878,a878),x102182),a335))),f337(f337(f7(x102182,f893(x102182,f893(x102182,x102182)),f893(x102182,f893(x102182,a878))),f337(f337(f8(f893(f893(x102182,x102182),f893(x102182,a878)),f893(f893(x102182,f893(x102182,x102182)),f893(x102182,f893(x102182,a878))),x102182),f8(f893(x102182,x102182),f893(x102182,a878),x102182)),f337(f337(f8(f893(x102182,a878),f893(f893(x102182,x102182),f893(x102182,a878)),x102182),f8(x102182,a878,x102182)),a334))),f113(x102182)))))),f337(f337(f7(x102182,f893(x102182,a878),f893(x102182,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x102182,a878),f893(x102182,a878)),x102182),f8(a878,a878,x102182)),f337(f337(f8(a878,f893(a878,a878),x102182),a335),f337(f337(f7(x102182,f893(x102182,a878),a878),f339(x102182)),x102183)))),f337(f337(f7(x102182,f893(x102182,a878),a878),f339(x102182)),x102181))))))),f337(f337(f113(x102182),f10(x102182,x102183)),f10(x102182,x102181)))
% 198.24/198.43 [10219]~P98(x102192)+E(x102191,f197(f893(x102192,a878)))+E(x102193,f197(f893(x102192,a878)))+~P24(f337(f62(x102192),x102191))+~P24(f337(f62(x102192),x102193))+E(f13(x102192,f337(f257(x102192),f337(f337(f8(f893(x102192,a878),a878,x102192),f88(x102192)),f337(f337(f8(f893(x102192,f893(x102192,a878)),f893(x102192,a878),x102192),f337(f8(f893(x102192,a878),a878,x102192),f88(x102192))),f337(f337(f7(x102192,f893(x102192,f893(x102192,a878)),f893(x102192,f893(x102192,a878))),f337(f337(f8(f893(x102192,f893(f893(x102192,a878),f893(x102192,a878))),f893(f893(x102192,f893(x102192,a878)),f893(x102192,f893(x102192,a878))),x102192),f18(x102192,f893(x102192,a878),f893(x102192,a878))),f337(f337(f8(f893(x102192,f893(x102192,f893(a878,a878))),f893(x102192,f893(f893(x102192,a878),f893(x102192,a878))),x102192),f337(f8(f893(x102192,f893(a878,a878)),f893(f893(x102192,a878),f893(x102192,a878)),x102192),f18(x102192,a878,a878))),f337(f337(f8(f893(x102192,f893(x102192,a878)),f893(x102192,f893(x102192,f893(a878,a878))),x102192),f337(f8(f893(x102192,a878),f893(x102192,f893(a878,a878)),x102192),f337(f8(a878,f893(a878,a878),x102192),a335))),f337(f337(f7(x102192,f893(x102192,f893(x102192,x102192)),f893(x102192,f893(x102192,a878))),f337(f337(f8(f893(f893(x102192,x102192),f893(x102192,a878)),f893(f893(x102192,f893(x102192,x102192)),f893(x102192,f893(x102192,a878))),x102192),f8(f893(x102192,x102192),f893(x102192,a878),x102192)),f337(f337(f8(f893(x102192,a878),f893(f893(x102192,x102192),f893(x102192,a878)),x102192),f8(x102192,a878,x102192)),a334))),f104(x102192)))))),f337(f337(f7(x102192,f893(x102192,a878),f893(x102192,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x102192,a878),f893(x102192,a878)),x102192),f8(a878,a878,x102192)),f337(f337(f8(a878,f893(a878,a878),x102192),a335),f337(f337(f7(x102192,f893(x102192,a878),a878),f339(x102192)),x102193)))),f337(f337(f7(x102192,f893(x102192,a878),a878),f339(x102192)),x102191))))))),f337(f337(f104(x102192),f13(x102192,x102193)),f13(x102192,x102191)))
% 198.24/198.43 [10220]~P105(x102202)+E(x102201,f197(f893(x102202,a878)))+E(x102203,f197(f893(x102202,a878)))+~P24(f337(f62(x102202),x102201))+~P24(f337(f62(x102202),x102203))+E(f11(x102202,f250(x102202),f337(f257(x102202),f337(f337(f8(f893(x102202,a878),a878,x102202),f88(x102202)),f337(f337(f8(f893(x102202,f893(x102202,a878)),f893(x102202,a878),x102202),f337(f8(f893(x102202,a878),a878,x102202),f88(x102202))),f337(f337(f7(x102202,f893(x102202,f893(x102202,a878)),f893(x102202,f893(x102202,a878))),f337(f337(f8(f893(x102202,f893(f893(x102202,a878),f893(x102202,a878))),f893(f893(x102202,f893(x102202,a878)),f893(x102202,f893(x102202,a878))),x102202),f18(x102202,f893(x102202,a878),f893(x102202,a878))),f337(f337(f8(f893(x102202,f893(x102202,f893(a878,a878))),f893(x102202,f893(f893(x102202,a878),f893(x102202,a878))),x102202),f337(f8(f893(x102202,f893(a878,a878)),f893(f893(x102202,a878),f893(x102202,a878)),x102202),f18(x102202,a878,a878))),f337(f337(f8(f893(x102202,f893(x102202,a878)),f893(x102202,f893(x102202,f893(a878,a878))),x102202),f337(f8(f893(x102202,a878),f893(x102202,f893(a878,a878)),x102202),f337(f8(a878,f893(a878,a878),x102202),a335))),f337(f337(f7(x102202,f893(x102202,f893(x102202,x102202)),f893(x102202,f893(x102202,a878))),f337(f337(f8(f893(f893(x102202,x102202),f893(x102202,a878)),f893(f893(x102202,f893(x102202,x102202)),f893(x102202,f893(x102202,a878))),x102202),f8(f893(x102202,x102202),f893(x102202,a878),x102202)),f337(f337(f8(f893(x102202,a878),f893(f893(x102202,x102202),f893(x102202,a878)),x102202),f8(x102202,a878,x102202)),a334))),f249(x102202)))))),f337(f337(f7(x102202,f893(x102202,a878),f893(x102202,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x102202,a878),f893(x102202,a878)),x102202),f8(a878,a878,x102202)),f337(f337(f8(a878,f893(a878,a878),x102202),a335),f337(f337(f7(x102202,f893(x102202,a878),a878),f339(x102202)),x102203)))),f337(f337(f7(x102202,f893(x102202,a878),a878),f339(x102202)),x102201))))))),f337(f337(f249(x102202),f11(x102202,f250(x102202),x102203)),f11(x102202,f250(x102202),x102201)))
% 198.24/198.43 [10221]~P105(x102212)+E(x102211,f197(f893(x102212,a878)))+E(x102213,f197(f893(x102212,a878)))+~P24(f337(f62(x102212),x102211))+~P24(f337(f62(x102212),x102213))+E(f12(x102212,f249(x102212),f337(f257(x102212),f337(f337(f8(f893(x102212,a878),a878,x102212),f88(x102212)),f337(f337(f8(f893(x102212,f893(x102212,a878)),f893(x102212,a878),x102212),f337(f8(f893(x102212,a878),a878,x102212),f88(x102212))),f337(f337(f7(x102212,f893(x102212,f893(x102212,a878)),f893(x102212,f893(x102212,a878))),f337(f337(f8(f893(x102212,f893(f893(x102212,a878),f893(x102212,a878))),f893(f893(x102212,f893(x102212,a878)),f893(x102212,f893(x102212,a878))),x102212),f18(x102212,f893(x102212,a878),f893(x102212,a878))),f337(f337(f8(f893(x102212,f893(x102212,f893(a878,a878))),f893(x102212,f893(f893(x102212,a878),f893(x102212,a878))),x102212),f337(f8(f893(x102212,f893(a878,a878)),f893(f893(x102212,a878),f893(x102212,a878)),x102212),f18(x102212,a878,a878))),f337(f337(f8(f893(x102212,f893(x102212,a878)),f893(x102212,f893(x102212,f893(a878,a878))),x102212),f337(f8(f893(x102212,a878),f893(x102212,f893(a878,a878)),x102212),f337(f8(a878,f893(a878,a878),x102212),a335))),f337(f337(f7(x102212,f893(x102212,f893(x102212,x102212)),f893(x102212,f893(x102212,a878))),f337(f337(f8(f893(f893(x102212,x102212),f893(x102212,a878)),f893(f893(x102212,f893(x102212,x102212)),f893(x102212,f893(x102212,a878))),x102212),f8(f893(x102212,x102212),f893(x102212,a878),x102212)),f337(f337(f8(f893(x102212,a878),f893(f893(x102212,x102212),f893(x102212,a878)),x102212),f8(x102212,a878,x102212)),a334))),f250(x102212)))))),f337(f337(f7(x102212,f893(x102212,a878),f893(x102212,a878)),f337(f337(f8(f893(a878,a878),f893(f893(x102212,a878),f893(x102212,a878)),x102212),f8(a878,a878,x102212)),f337(f337(f8(a878,f893(a878,a878),x102212),a335),f337(f337(f7(x102212,f893(x102212,a878),a878),f339(x102212)),x102213)))),f337(f337(f7(x102212,f893(x102212,a878),a878),f339(x102212)),x102211))))))),f337(f337(f250(x102212),f12(x102212,f249(x102212),x102213)),f12(x102212,f249(x102212),x102211)))
% 198.24/198.43 [7248]~P122(x72483)+E(x72481,x72482)+~E(f337(f337(f262(x72483),x72481),x72484),f337(f337(f262(x72483),x72482),x72484))+~P24(f337(f337(f251(x72483),f2(x72483)),x72482))+~P24(f337(f337(f251(x72483),f2(x72483)),x72481))+~P24(f337(f337(f252(a884),f2(a884)),x72484))
% 198.24/198.43 [7521]~P105(x75212)+E(x75211,f197(f893(x75212,a878)))+~P24(f337(f62(x75212),x75211))+~P24(f337(f337(f339(x75212),x75214),x75211))+P24(f337(f337(f251(x75212),x75213),x75214))+~P24(f337(f337(f251(x75212),x75213),f337(f64(x75212,f249(x75212)),x75211)))
% 198.24/198.43 [7522]~P101(x75222)+E(x75221,f197(f893(x75222,a878)))+~P24(f337(f62(x75222),x75221))+~P24(f337(f337(f339(x75222),x75224),x75221))+P24(f337(f337(f251(x75222),x75223),x75224))+~P24(f337(f337(f251(x75222),x75223),f337(f64(x75222,f104(x75222)),x75221)))
% 198.24/198.43 [7523]~P105(x75232)+E(x75231,f197(f893(x75232,a878)))+~P24(f337(f62(x75232),x75231))+~P24(f337(f337(f339(x75232),x75234),x75231))+P24(f337(f337(f252(x75232),x75233),x75234))+~P24(f337(f337(f252(x75232),x75233),f337(f64(x75232,f249(x75232)),x75231)))
% 198.24/198.43 [7422]E(x74221,f2(a1))+E(f337(f337(f39(a1),x74222),x74221),x74223)+~P24(f337(f337(f251(a1),x74224),f2(a1)))+~E(x74222,f337(f337(f81(a1),f337(f337(f82(a1),x74221),x74223)),x74224))+P24(f337(f337(f252(a1),f2(a1)),x74221))+~P24(f337(f337(f252(a1),x74221),x74224))
% 198.24/198.43 [7437]E(f45(a1,x74372,x74371),x74373)+E(x74371,f2(a1))+~P24(f337(f337(f251(a1),x74373),f2(a1)))+~E(x74372,f337(f337(f81(a1),f337(f337(f82(a1),x74371),x74374)),x74373))+P24(f337(f337(f252(a1),f2(a1)),x74371))+~P24(f337(f337(f252(a1),x74371),x74373))
% 198.24/198.43 [7563]E(x75631,f2(a1))+E(f337(f337(f39(a1),x75632),x75631),x75633)+~E(x75632,f337(f337(f81(a1),f337(f337(f82(a1),x75631),x75633)),x75634))+~P24(f337(f337(f251(a1),f2(a1)),x75634))+~P24(f337(f337(f252(a1),f2(a1)),x75631))+~P24(f337(f337(f252(a1),x75634),x75631))
% 198.24/198.43 [7585]E(f45(a1,x75852,x75851),x75853)+E(x75851,f2(a1))+~E(x75852,f337(f337(f81(a1),f337(f337(f82(a1),x75851),x75854)),x75853))+~P24(f337(f337(f251(a1),f2(a1)),x75853))+~P24(f337(f337(f252(a1),f2(a1)),x75851))+~P24(f337(f337(f252(a1),x75853),x75851))
% 198.24/198.43 [7727]~P105(x77272)+E(x77271,f197(f893(x77272,a878)))+~P24(f337(f62(x77272),x77271))+~P24(f337(f337(f339(x77272),x77274),x77271))+~P24(f337(f337(f251(x77272),x77274),x77273))+P24(f337(f337(f251(x77272),f337(f64(x77272,f249(x77272)),x77271)),x77273))
% 198.24/198.43 [7728]~P105(x77282)+E(x77281,f197(f893(x77282,a878)))+~P24(f337(f62(x77282),x77281))+~P24(f337(f337(f252(x77282),x77284),x77283))+~P24(f337(f337(f339(x77282),x77284),x77281))+P24(f337(f337(f252(x77282),f337(f64(x77282,f249(x77282)),x77281)),x77283))
% 198.24/198.43 [8292]~P24(f337(f337(f251(a1),x82924),f2(a1)))+~E(x82921,f337(f337(f81(a1),f337(f337(f82(a1),x82922),x82923)),x82924))+~P24(f337(f337(f251(a1),f2(a1)),x82924))+~P24(f337(f337(f252(a1),x82924),x82922))+~P24(f337(f337(f252(a1),x82922),x82924))+P24(f337(f49(x82921,x82922),f337(f337(f272(a1,a1),x82923),x82924)))
% 198.24/198.43 [9214]~P57(x92143)+~P57(x92144)+E(x92141,x92142)+~E(f337(f198(f885(x92143)),x92142),f337(f198(f885(x92144)),f56(x92144)))+~E(f337(f198(f885(x92143)),x92141),f337(f198(f885(x92144)),f56(x92144)))+~E(f337(f74(f887(x92143),x92143,x92144,f248(x92143)),f337(f181(x92144,x92143),f337(f337(f185(x92144,x92143),f56(x92144)),x92141))),f337(f74(f887(x92143),x92143,x92144,f248(x92143)),f337(f181(x92144,x92143),f337(f337(f185(x92144,x92143),f56(x92144)),x92142))))
% 198.24/198.43 [8453]~P106(x84531)+P24(f337(f337(f252(f893(x84531,a878)),f308(x84531,x84532,x84533)),f308(x84531,x84534,x84535)))+~P24(f337(f337(f251(x84531),x84534),x84532))+~P24(f337(f337(f251(x84531),x84534),x84535))+~P24(f337(f337(f251(x84531),x84533),x84535))+~P24(f337(f337(f252(x84531),x84533),x84535))
% 198.24/198.43 [8454]~P106(x84541)+P24(f337(f337(f252(f893(x84541,a878)),f308(x84541,x84542,x84543)),f308(x84541,x84544,x84545)))+~P24(f337(f337(f251(x84541),x84543),x84545))+~P24(f337(f337(f251(x84541),x84544),x84545))+~P24(f337(f337(f251(x84541),x84544),x84542))+~P24(f337(f337(f252(x84541),x84544),x84542))
% 198.24/198.43 [9276]P55(x92762,x92763,x92764,x92761)+E(x92761,f197(f893(x92762,a878)))+~P24(f337(f62(x92762),x92764))+~P24(f337(f62(x92762),x92761))+~P24(f337(f337(x92763,f519(x92761,x92764,x92763,x92762)),x92765))+~P24(f337(f337(f339(x92762),x92765),x92761))
% 198.24/198.43 [9419]~E(x94193,x94195)+~P70(x94191)+~P74(x94191)+~P40(x94193)+E(f337(f337(f6(a1,x94191),x94192),x94193),f337(f337(f6(a1,x94191),x94194),x94195))+P24(f337(f337(f251(a1),f2(a1)),f420(x94192,x94194,x94193,x94195,x94191)))
% 198.24/198.43 [9420]~E(x94203,x94205)+~P70(x94201)+~P74(x94201)+~P40(x94203)+E(f337(f337(f9(a1,x94201),x94202),x94203),f337(f337(f9(a1,x94201),x94204),x94205))+P24(f337(f337(f251(a1),f2(a1)),f421(x94202,x94204,x94203,x94205,x94201)))
% 198.24/198.43 [9588]~E(x95885,x95883)+~P70(x95881)+~P74(x95881)+~P40(x95885)+~E(f337(x95882,f420(x95884,x95882,x95885,x95883,x95881)),f337(x95884,f420(x95884,x95882,x95885,x95883,x95881)))+E(f337(f337(f6(a1,x95881),x95882),x95883),f337(f337(f6(a1,x95881),x95884),x95885))
% 198.24/198.43 [9589]~E(x95895,x95893)+~P70(x95891)+~P74(x95891)+~P40(x95895)+~E(f337(x95892,f421(x95894,x95892,x95895,x95893,x95891)),f337(x95894,f421(x95894,x95892,x95895,x95893,x95891)))+E(f337(f337(f9(a1,x95891),x95892),x95893),f337(f337(f9(a1,x95891),x95894),x95895))
% 198.24/198.43 [9677]~P78(x96773)+E(f337(x96771,x96772),f2(x96773))+~E(f337(f337(f6(x96774,x96773),x96771),x96775),f2(x96773))+~P24(f337(f62(x96774),x96775))+P24(f337(f337(f339(x96774),f865(x96772,x96771,x96775,x96774,x96773)),x96775))+~P24(f337(f337(f339(x96774),x96772),x96775))
% 198.24/198.43 [9813]~P78(x98133)+E(f337(x98131,x98132),f2(x98133))+~E(f337(f337(f6(x98134,x98133),x98131),x98135),f2(x98133))+~P24(f337(f62(x98134),x98135))+~P24(f337(f337(f339(x98134),x98132),x98135))+~P24(f337(f337(f251(x98133),f2(x98133)),f337(x98131,f865(x98132,x98131,x98135,x98134,x98133))))
% 198.24/198.43 [8372]~P133(x83721)+~P24(f337(f337(f251(x83721),x83723),x83725))+~P24(f337(f337(f251(x83721),x83722),x83724))+~P24(f337(f337(f251(x83721),f2(x83721)),x83723))+~P24(f337(f337(f251(x83721),f2(x83721)),x83724))+P24(f337(f337(f251(x83721),f337(f337(f82(x83721),x83722),x83723)),f337(f337(f82(x83721),x83724),x83725)))
% 198.24/198.43 [8373]~P133(x83731)+~P24(f337(f337(f251(x83731),x83733),x83735))+~P24(f337(f337(f251(x83731),x83732),x83734))+~P24(f337(f337(f251(x83731),f2(x83731)),x83733))+~P24(f337(f337(f251(x83731),f2(x83731)),x83732))+P24(f337(f337(f251(x83731),f337(f337(f82(x83731),x83732),x83733)),f337(f337(f82(x83731),x83734),x83735)))
% 198.24/198.43 [8374]~P61(x83741)+~P24(f337(f337(f252(x83741),f2(x83741)),x83745))+~P24(f337(f337(f251(x83741),x83745),x83743))+~P24(f337(f337(f251(x83741),x83742),x83744))+~P24(f337(f337(f251(x83741),f2(x83741)),x83742))+P24(f337(f337(f251(x83741),f337(f337(f295(x83741),x83742),x83743)),f337(f337(f295(x83741),x83744),x83745)))
% 198.24/198.43 [8375]~P129(x83751)+~P24(f337(f337(f251(x83751),x83753),x83755))+~P24(f337(f337(f251(x83751),f2(x83751)),x83752))+~P24(f337(f337(f252(x83751),x83752),x83754))+~P24(f337(f337(f252(x83751),f2(x83751)),x83753))+P24(f337(f337(f252(x83751),f337(f337(f82(x83751),x83752),x83753)),f337(f337(f82(x83751),x83754),x83755)))
% 198.24/198.43 [8376]~P129(x83761)+~P24(f337(f337(f251(x83761),x83762),x83764))+~P24(f337(f337(f251(x83761),f2(x83761)),x83763))+~P24(f337(f337(f252(x83761),x83763),x83765))+~P24(f337(f337(f252(x83761),f2(x83761)),x83762))+P24(f337(f337(f252(x83761),f337(f337(f82(x83761),x83762),x83763)),f337(f337(f82(x83761),x83764),x83765)))
% 198.24/198.43 [8377]~P129(x83771)+~P24(f337(f337(f251(x83771),f2(x83771)),x83773))+~P24(f337(f337(f251(x83771),f2(x83771)),x83772))+~P24(f337(f337(f252(x83771),x83773),x83775))+~P24(f337(f337(f252(x83771),x83772),x83774))+P24(f337(f337(f252(x83771),f337(f337(f82(x83771),x83772),x83773)),f337(f337(f82(x83771),x83774),x83775)))
% 198.24/198.43 [8378]~P129(x83781)+~P24(f337(f337(f251(x83781),f2(x83781)),x83783))+~P24(f337(f337(f252(x83781),x83783),x83785))+~P24(f337(f337(f252(x83781),x83782),x83784))+~P24(f337(f337(f252(x83781),f2(x83781)),x83784))+P24(f337(f337(f252(x83781),f337(f337(f82(x83781),x83782),x83783)),f337(f337(f82(x83781),x83784),x83785)))
% 198.24/198.43 [8379]~P61(x83791)+~P24(f337(f337(f251(x83791),x83795),x83793))+~P24(f337(f337(f251(x83791),f2(x83791)),x83792))+~P24(f337(f337(f252(x83791),x83792),x83794))+~P24(f337(f337(f252(x83791),f2(x83791)),x83795))+P24(f337(f337(f252(x83791),f337(f337(f295(x83791),x83792),x83793)),f337(f337(f295(x83791),x83794),x83795)))
% 198.24/198.43 [8380]~P61(x83801)+~P24(f337(f337(f251(x83801),x83802),x83804))+~P24(f337(f337(f252(x83801),x83805),x83803))+~P24(f337(f337(f252(x83801),f2(x83801)),x83805))+~P24(f337(f337(f252(x83801),f2(x83801)),x83802))+P24(f337(f337(f252(x83801),f337(f337(f295(x83801),x83802),x83803)),f337(f337(f295(x83801),x83804),x83805)))
% 198.24/198.43 [9717]~P70(x97175)+~P82(x97175)+E(x97171,f197(f893(x97172,a878)))+~P24(f337(f62(x97172),x97171))+P24(f337(f337(f339(x97172),f702(x97173,x97174,x97171,x97172,x97175)),x97171))+P24(f337(f337(f252(x97175),f337(f337(f6(x97172,x97175),x97174),x97171)),f337(f337(f6(x97172,x97175),x97173),x97171)))
% 198.24/198.43 [9836]~P70(x98361)+~P84(x98361)+~P24(f337(f62(x98362),x98365))+~P24(f337(f337(f251(x98361),f2(x98361)),f337(x98363,f862(x98363,x98364,x98365,x98362,x98361))))+P24(f337(f337(f251(x98361),f337(f337(f6(x98362,x98361),x98363),x98364)),f337(f337(f6(x98362,x98361),x98363),x98365)))+~P24(f337(f337(f251(f893(x98362,a878)),x98364),x98365))
% 198.24/198.43 [10002]~P70(x100023)+~P82(x100023)+E(x100021,f197(f893(x100022,a878)))+~P24(f337(f62(x100022),x100021))+~P24(f337(f337(f252(x100023),f337(x100024,f702(x100025,x100024,x100021,x100022,x100023))),f337(x100025,f702(x100025,x100024,x100021,x100022,x100023))))+P24(f337(f337(f252(x100023),f337(f337(f6(x100022,x100023),x100024),x100021)),f337(f337(f6(x100022,x100023),x100025),x100021)))
% 198.24/198.43 [7105]~P13(x71052,x71055,x71054)+E(x71051,f197(f893(x71052,a878)))+E(x71053,f197(f893(x71052,a878)))+~P24(f337(f62(x71052),x71051))+~P24(f337(f62(x71052),x71053))+E(f337(x71054,f337(f337(f113(f893(x71052,a878)),x71053),x71051)),f337(f337(x71055,f337(x71054,x71053)),f337(x71054,x71051)))
% 198.24/198.43 [7693]~P145(x76931,x76934,x76933)+P24(f337(x76931,x76932))+~P24(f337(f337(f252(a1),x76934),f2(a1)))+~P24(f337(f337(f251(a1),x76935),f2(a1)))+~E(x76933,f337(f337(f81(a1),f337(f337(f82(a1),x76934),x76932)),x76935))+~P24(f337(f337(f252(a1),x76934),x76935))
% 198.24/198.43 [7694]~P144(x76941,x76944,x76943)+P24(f337(x76941,x76942))+~P24(f337(f337(f252(a1),x76944),f2(a1)))+~P24(f337(f337(f251(a1),x76942),f2(a1)))+~E(x76943,f337(f337(f81(a1),f337(f337(f82(a1),x76944),x76945)),x76942))+~P24(f337(f337(f252(a1),x76944),x76942))
% 198.24/198.43 [7736]~P145(x77361,x77364,x77363)+P24(f337(x77361,x77362))+~E(x77363,f337(f337(f81(a1),f337(f337(f82(a1),x77364),x77362)),x77365))+~P24(f337(f337(f251(a1),f2(a1)),x77365))+~P24(f337(f337(f252(a1),f2(a1)),x77364))+~P24(f337(f337(f252(a1),x77365),x77364))
% 198.24/198.43 [7737]~P144(x77371,x77374,x77373)+P24(f337(x77371,x77372))+~E(x77373,f337(f337(f81(a1),f337(f337(f82(a1),x77374),x77375)),x77372))+~P24(f337(f337(f251(a1),f2(a1)),x77372))+~P24(f337(f337(f252(a1),f2(a1)),x77374))+~P24(f337(f337(f252(a1),x77372),x77374))
% 198.24/198.43 [8655]P24(f337(f337(x86551,x86552),x86553))+~P24(f337(f337(x86551,f337(f337(f39(a1),x86554),x86555)),f45(a1,x86554,x86555)))+~P24(f337(f337(f252(a1),x86555),f2(a1)))+~P24(f337(f337(f251(a1),x86553),f2(a1)))+~E(x86554,f337(f337(f81(a1),f337(f337(f82(a1),x86555),x86552)),x86553))+~P24(f337(f337(f252(a1),x86555),x86553))
% 198.24/198.43 [8662]P24(f337(f337(x86621,x86622),x86623))+~P24(f337(f337(x86621,f337(f337(f39(a1),x86624),x86625)),f45(a1,x86624,x86625)))+~E(x86624,f337(f337(f81(a1),f337(f337(f82(a1),x86625),x86622)),x86623))+~P24(f337(f337(f251(a1),f2(a1)),x86623))+~P24(f337(f337(f252(a1),f2(a1)),x86625))+~P24(f337(f337(f252(a1),x86623),x86625))
% 198.24/198.43 [8898]E(x88981,x88982)+~P52(x88983,x88985,x88984)+~P24(f337(f337(f339(x88983),x88982),x88985))+~P24(f337(f337(f339(x88983),x88981),x88985))+P24(f337(f337(f339(f892(x88983,x88983)),f337(f337(f272(x88983,x88983),x88981),x88982)),x88984))+P24(f337(f337(f339(f892(x88983,x88983)),f337(f337(f272(x88983,x88983),x88982),x88981)),x88984))
% 198.24/198.43 [9744]~P70(x97445)+~P84(x97445)+~P24(f337(f62(x97441),x97444))+P24(f337(f337(f251(x97445),f337(f337(f6(x97441,x97445),x97442),x97443)),f337(f337(f6(x97441,x97445),x97442),x97444)))+~P24(f337(f337(f251(f893(x97441,a878)),x97443),x97444))+P24(f337(f337(f339(x97441),f862(x97442,x97443,x97444,x97441,x97445)),f337(f337(f22(f893(x97441,a878)),x97444),x97443)))
% 198.24/198.43 [9844]E(x98441,f197(f893(x98442,a878)))+~P24(f337(f62(x98442),x98443))+~P24(f337(f62(x98442),x98441))+P24(f337(f337(f339(f892(f893(x98442,a878),f893(x98442,a878))),f337(f337(f272(f893(x98442,a878),f893(x98442,a878)),x98443),x98441)),f329(x98442,x98444)))+~P24(f337(f337(f339(x98442),x98445),x98441))+~P24(f337(f337(f339(f892(x98442,x98442)),f337(f337(f272(x98442,x98442),f528(x98444,x98441,x98443,x98442)),x98445)),x98444))
% 198.24/198.43 [9845]E(x98451,f197(f893(x98452,a878)))+~P24(f337(f62(x98452),x98453))+~P24(f337(f62(x98452),x98451))+P24(f337(f337(f339(f892(f893(x98452,a878),f893(x98452,a878))),f337(f337(f272(f893(x98452,a878),f893(x98452,a878)),x98453),x98451)),f329(x98452,x98454)))+~P24(f337(f337(f339(x98452),x98455),x98451))+~P24(f337(f337(f339(f892(x98452,x98452)),f337(f337(f272(x98452,x98452),f583(x98454,x98451,x98453,x98452)),x98455)),x98454))
% 198.24/198.43 [10006]~P78(x100061)+~E(f337(f337(f6(x100065,x100061),x100062),x100066),x100064)+~P24(f337(f62(x100065),x100066))+P24(f337(f337(f339(x100065),f866(x100063,x100064,x100062,x100066,x100065,x100061)),x100066))+P24(f337(f337(f251(x100061),f337(x100062,x100063)),x100064))+~P24(f337(f337(f339(x100065),x100063),x100066))
% 198.24/198.43 [10053]~P78(x100531)+~E(f337(f337(f6(x100535,x100531),x100532),x100536),x100534)+~P24(f337(f62(x100535),x100536))+~P24(f337(f337(f339(x100535),x100533),x100536))+~P24(f337(f337(f251(x100531),f2(x100531)),f337(x100532,f866(x100533,x100534,x100532,x100536,x100535,x100531))))+P24(f337(f337(f251(x100531),f337(x100532,x100533)),x100534))
% 198.24/198.43 [10167]~E(x101675,x101678)+~E(x101674,x101677)+~P107(x101671)+~P70(x101672)+E(f337(f337(f6(x101671,x101672),x101673),f337(f307(x101671,x101674),x101675)),f337(f337(f6(x101671,x101672),x101676),f337(f307(x101671,x101677),x101678)))+P24(f337(f337(f251(x101671),x101674),f588(x101673,x101676,x101675,x101678,x101674,x101677,x101671,x101672)))
% 198.24/198.43 [10185]~E(x101857,x101854)+~E(x101858,x101855)+~P107(x101851)+~P70(x101852)+~E(f337(x101853,f588(x101856,x101853,x101858,x101855,x101857,x101854,x101851,x101852)),f337(x101856,f588(x101856,x101853,x101858,x101855,x101857,x101854,x101851,x101852)))+E(f337(f337(f6(x101851,x101852),x101853),f337(f307(x101851,x101854),x101855)),f337(f337(f6(x101851,x101852),x101856),f337(f307(x101851,x101857),x101858)))
% 198.24/198.43 [10187]~E(x101874,x101877)+~E(x101875,x101878)+~P107(x101871)+~P70(x101872)+E(f337(f337(f6(x101871,x101872),x101873),f337(f307(x101871,x101874),x101875)),f337(f337(f6(x101871,x101872),x101876),f337(f307(x101871,x101877),x101878)))+P24(f337(f337(f252(x101871),f588(x101873,x101876,x101875,x101878,x101874,x101877,x101871,x101872)),x101875))
% 198.24/198.43 [9850]~P6(x98505,x98509,x98506)+~P6(x98501,x985010,x98503)+~P10(x98501,x98505,f893(x98502,a878),x98503,x98506,x98508)+~P24(f337(f337(f339(x98505),x98507),x98509))+~P24(f337(f337(f339(x98501),x98504),x985010))+E(f337(f337(f42(x98501,f893(x98502,a878)),f337(f291(x98501,x98501,x98503),f337(f337(f315(x98501),x98504),f197(f893(x98501,a878))))),f337(f337(f8(f893(x98505,f893(x98502,a878)),f893(x98502,a878),x98501),f337(f42(x98505,f893(x98502,a878)),f337(f291(x98505,x98505,x98506),f337(f337(f315(x98505),x98507),f197(f893(x98505,a878)))))),x98508)),f337(f337(x98508,x98504),x98507))
% 198.24/198.43 [5646]~P105(x56463)+~P30(x56463,x56462)+~P30(x56463,x56461)+E(x56461,x56462)+~E(f337(f175(x56463),x56461),f337(f175(x56463),x56462))+~P24(f337(f139(x56463),x56462))+~P24(f337(f139(x56463),x56461))
% 198.24/198.43 [4979]~P113(x49792)+~P128(x49792)+~P130(x49792)+~P141(x49792)+~E(x49793,f2(x49792))+E(x49791,f2(a884))+E(f337(f337(f262(x49792),x49793),x49791),f2(x49792))
% 198.24/198.43 [9158]E(x91581,f2(a884))+~E(x91582,f337(f337(f81(a884),f337(f337(f82(a884),f337(f271(a884,a884),x91583)),x91581)),f337(f275(a884,a884),x91583)))+P24(f337(f48(x91582,x91581),x91583))+~P24(f337(f337(f251(a884),f337(f275(a884,a884),x91583)),f2(a884)))+~P24(f337(f337(f251(a884),f2(a884)),f337(f275(a884,a884),x91583)))+~P24(f337(f337(f252(a884),x91581),f337(f275(a884,a884),x91583)))+~P24(f337(f337(f252(a884),f337(f275(a884,a884),x91583)),x91581))
% 198.24/198.43 [9167]~E(f337(f271(a884,a884),x91673),f2(a884))+~E(x91671,f337(f337(f81(a884),f337(f337(f82(a884),f337(f271(a884,a884),x91673)),x91672)),f337(f275(a884,a884),x91673)))+P24(f337(f48(x91671,x91672),x91673))+~P24(f337(f337(f251(a884),f337(f275(a884,a884),x91673)),f2(a884)))+~P24(f337(f337(f251(a884),f2(a884)),f337(f275(a884,a884),x91673)))+~P24(f337(f337(f252(a884),x91672),f337(f275(a884,a884),x91673)))+~P24(f337(f337(f252(a884),f337(f275(a884,a884),x91673)),x91672))
% 198.24/198.43 [8046]~P68(x80462)+E(x80461,f197(f893(x80462,a878)))+E(x80463,f197(f893(x80462,a878)))+~P24(f337(f62(x80462),x80461))+~P24(f337(f62(x80462),x80463))+~E(f337(f337(f104(f893(x80462,a878)),x80463),x80461),f197(f893(x80462,a878)))+E(f337(f337(f82(x80462),f337(f64(x80462,f82(x80462)),x80463)),f337(f64(x80462,f82(x80462)),x80461)),f337(f64(x80462,f82(x80462)),f337(f337(f113(f893(x80462,a878)),x80463),x80461)))
% 198.24/198.43 [7832]E(x78321,f2(a1))+E(f337(f337(f39(a1),x78322),x78321),x78323)+~P24(f337(f337(f251(a1),x78324),f2(a1)))+~E(x78322,f337(f337(f81(a1),f337(f337(f82(a1),x78321),x78323)),x78324))+~P24(f337(f337(f251(a1),f2(a1)),x78324))+~P24(f337(f337(f252(a1),x78324),x78321))+~P24(f337(f337(f252(a1),x78321),x78324))
% 198.24/198.43 [7841]E(f45(a1,x78412,x78411),x78413)+E(x78411,f2(a1))+~P24(f337(f337(f251(a1),x78413),f2(a1)))+~E(x78412,f337(f337(f81(a1),f337(f337(f82(a1),x78411),x78414)),x78413))+~P24(f337(f337(f251(a1),f2(a1)),x78413))+~P24(f337(f337(f252(a1),x78413),x78411))+~P24(f337(f337(f252(a1),x78411),x78413))
% 198.24/198.43 [7745]~P14(x77452,x77455,x77454)+E(x77451,f197(f893(x77452,a878)))+E(x77453,f197(f893(x77452,a878)))+~P24(f337(f62(x77452),x77451))+~P24(f337(f62(x77452),x77453))+~E(f337(f337(f104(f893(x77452,a878)),x77453),x77451),f197(f893(x77452,a878)))+E(f337(x77454,f337(f337(f113(f893(x77452,a878)),x77453),x77451)),f337(f337(x77455,f337(x77454,x77453)),f337(x77454,x77451)))
% 198.24/198.43 [9393]~P21(x93933,x93931,x93935,x93934)+~P21(x93931,x93933,x93936,x93932)+E(f337(f38(x93931),x93932),f337(f38(x93933),x93934))+~P24(f337(f62(x93933),x93934))+~P24(f337(f62(x93931),x93932))+~P24(f337(f337(f251(f893(x93933,a878)),f337(f316(x93931,x93933,x93936),x93932)),x93934))+~P24(f337(f337(f251(f893(x93931,a878)),f337(f316(x93933,x93931,x93935),x93934)),x93932))
% 198.24/198.43 [9336]~P24(f337(f337(f252(a1),f337(f337(f81(a1),f337(f337(f82(a1),x93365),x93361)),x93366)),f2(a1)))+~E(f337(f337(f81(a1),f337(f337(f82(a1),x93363),x93362)),x93364),f337(f337(f81(a1),f337(f337(f82(a1),x93365),x93361)),x93366))+~P24(f337(f337(f251(a1),f2(a1)),x93366))+~P24(f337(f337(f252(a1),f2(a1)),x93365))+~P24(f337(f337(f251(a1),x93365),x93363))+~P24(f337(f337(f252(a1),x93364),x93363))+P24(f337(f337(f251(a1),x93361),x93362))
% 198.24/198.43 [9108]~E(f337(f337(f81(a1),f337(f337(f82(a1),x91083),x91081)),x91084),f337(f337(f81(a1),f337(f337(f82(a1),x91085),x91082)),x91086))+~P24(f337(f337(f251(a1),f2(a1)),x91084))+~P24(f337(f337(f252(a1),f2(a1)),x91085))+~P24(f337(f337(f251(a1),x91085),x91083))+~P24(f337(f337(f252(a1),x91086),x91085))+P24(f337(f337(f251(a1),x91081),x91082))+~P24(f337(f337(f251(a1),f2(a1)),f337(f337(f81(a1),f337(f337(f82(a1),x91085),x91082)),x91086)))
% 198.24/198.43 [9282]~P127(x92821)+~E(f337(f337(f81(x92821),x92822),x92824),f79(x92821))+~P24(f337(f337(f251(x92821),x92825),x92826))+~P24(f337(f337(f251(x92821),x92823),x92826))+~P24(f337(f337(f251(x92821),f2(x92821)),x92824))+~P24(f337(f337(f251(x92821),f2(x92821)),x92822))+P24(f337(f337(f251(x92821),f337(f337(f81(x92821),f337(f337(f82(x92821),x92822),x92823)),f337(f337(f82(x92821),x92824),x92825))),x92826))
% 198.24/198.43 [9283]~P125(x92831)+~E(f337(f337(f81(x92831),x92832),x92834),f79(x92831))+~P24(f337(f337(f251(x92831),f2(x92831)),x92834))+~P24(f337(f337(f251(x92831),f2(x92831)),x92832))+~P24(f337(f337(f252(x92831),x92835),x92836))+~P24(f337(f337(f252(x92831),x92833),x92836))+P24(f337(f337(f252(x92831),f337(f337(f81(x92831),f337(f337(f82(x92831),x92832),x92833)),f337(f337(f82(x92831),x92834),x92835))),x92836))
% 198.24/198.43 [10098]~P6(x100987,x100986,x100985)+E(x100981,x100982)+~P9(x100987,f893(x100984,a878),x100985,x100983)+E(f337(x100983,f507(x100981,x100982,x100983,x100984,x100985,x100986,x100987)),f337(x100983,f508(x100981,x100982,x100983,x100984,x100985,x100986,x100987)))+~E(f337(f337(f42(x100987,f893(x100984,a878)),x100981),x100983),f337(f337(f42(x100987,f893(x100984,a878)),x100982),x100983))+~P24(f337(f337(f339(f893(x100987,a878)),x100982),f337(f337(f61(x100987),x100986),x100985)))+~P24(f337(f337(f339(f893(x100987,a878)),x100981),f337(f337(f61(x100987),x100986),x100985)))
% 198.24/198.43 [10131]~P6(x101313,x101317,x101316)+E(x101311,x101312)+~P9(x101313,f893(x101315,a878),x101316,x101314)+~E(f337(f337(f42(x101313,f893(x101315,a878)),x101311),x101314),f337(f337(f42(x101313,f893(x101315,a878)),x101312),x101314))+P24(f337(f337(f339(x101313),f508(x101311,x101312,x101314,x101315,x101316,x101317,x101313)),x101317))+~P24(f337(f337(f339(f893(x101313,a878)),x101312),f337(f337(f61(x101313),x101317),x101316)))+~P24(f337(f337(f339(f893(x101313,a878)),x101311),f337(f337(f61(x101313),x101317),x101316)))
% 198.24/198.43 [10132]~P6(x101323,x101327,x101326)+E(x101321,x101322)+~P9(x101323,f893(x101325,a878),x101326,x101324)+~E(f337(f337(f42(x101323,f893(x101325,a878)),x101321),x101324),f337(f337(f42(x101323,f893(x101325,a878)),x101322),x101324))+P24(f337(f337(f339(x101323),f507(x101321,x101322,x101324,x101325,x101326,x101327,x101323)),x101327))+~P24(f337(f337(f339(f893(x101323,a878)),x101322),f337(f337(f61(x101323),x101327),x101326)))+~P24(f337(f337(f339(f893(x101323,a878)),x101321),f337(f337(f61(x101323),x101327),x101326)))
% 198.24/198.43 [10204]E(x102041,x102042)+~P6(x102043,x102046,x102047)+~P9(x102043,f893(x102044,a878),x102047,x102045)+~E(f337(f337(f42(x102043,f893(x102044,a878)),x102041),x102045),f337(f337(f42(x102043,f893(x102044,a878)),x102042),x102045))+~P24(f337(f337(f339(f892(x102043,x102043)),f337(f337(f272(x102043,x102043),f508(x102041,x102042,x102045,x102044,x102047,x102046,x102043)),f507(x102041,x102042,x102045,x102044,x102047,x102046,x102043))),x102047))+~P24(f337(f337(f339(f893(x102043,a878)),x102042),f337(f337(f61(x102043),x102046),x102047)))+~P24(f337(f337(f339(f893(x102043,a878)),x102041),f337(f337(f61(x102043),x102046),x102047)))
% 198.24/198.43 [9107]~P6(x91071,x91077,x91074)+~E(x91075,x91076)+~P24(f337(f337(f339(x91071),x91073),x91076))+~P24(f337(f337(f339(x91071),x91072),x91075))+~P24(f337(f337(f339(f893(x91071,a878)),x91076),f337(f337(f61(x91071),x91077),x91074)))+~P24(f337(f337(f339(f893(x91071,a878)),x91075),f337(f337(f61(x91071),x91077),x91074)))+P24(f337(f337(f339(f892(x91071,x91071)),f337(f337(f272(x91071,x91071),x91072),x91073)),x91074))
% 198.24/198.43 [9242]E(x92421,x92422)+~P6(x92423,x92424,x92425)+~P24(f337(f337(f339(x92423),x92426),x92422))+~P24(f337(f337(f339(x92423),x92427),x92421))+~P24(f337(f337(f339(f893(x92423,a878)),x92422),f337(f337(f61(x92423),x92424),x92425)))+~P24(f337(f337(f339(f893(x92423,a878)),x92421),f337(f337(f61(x92423),x92424),x92425)))+~P24(f337(f337(f339(f892(x92423,x92423)),f337(f337(f272(x92423,x92423),x92427),x92426)),x92425))
% 198.24/198.43 [10223]~P6(x102239,x102238,x102237)+~P6(x102231,x1022311,x1022310)+~P10(x102231,x102239,f893(x102236,a878),x1022310,x102237,x102235)+P24(f337(f337(f339(x102231),f509(x102232,x102233,x102234,x102235,x102236,x102237,x102238,x102239,x1022310,x1022311,x102231)),x1022311))+~P24(f337(f337(f339(f893(x102239,a878)),x102233),f337(f337(f61(x102239),x102238),x102237)))+~P24(f337(f337(f339(f893(x102231,a878)),x102234),f337(f337(f61(x102231),x1022311),x1022310)))+P24(f337(f337(f339(f893(x102236,a878)),f337(f337(f42(x102231,f893(x102236,a878)),x102234),f337(f337(f8(f893(x102239,f893(x102236,a878)),f893(x102236,a878),x102231),f337(f42(x102239,f893(x102236,a878)),x102233)),x102235))),x102232))
% 198.24/198.43 [10224]~P6(x1022411,x1022410,x102249)+~P6(x102241,x102248,x102247)+~P10(x1022411,x102241,f893(x102246,a878),x102249,x102247,x102245)+P24(f337(f337(f339(x102241),f510(x102242,x102243,x102244,x102245,x102246,x102247,x102248,x102241,x102249,x1022410,x1022411)),x102248))+~P24(f337(f337(f339(f893(x1022411,a878)),x102244),f337(f337(f61(x1022411),x1022410),x102249)))+~P24(f337(f337(f339(f893(x102241,a878)),x102243),f337(f337(f61(x102241),x102248),x102247)))+P24(f337(f337(f339(f893(x102246,a878)),f337(f337(f42(x1022411,f893(x102246,a878)),x102244),f337(f337(f8(f893(x102241,f893(x102246,a878)),f893(x102246,a878),x1022411),f337(f42(x102241,f893(x102246,a878)),x102243)),x102245))),x102242))
% 198.24/198.43 [10227]~P6(x102272,x102278,x102279)+~P6(x102274,x1022710,x1022711)+~P10(x102272,x102274,f893(x102271,a878),x102279,x1022711,x102276)+~P24(f337(f337(f339(f893(x102272,a878)),x102273),f337(f337(f61(x102272),x102278),x102279)))+~P24(f337(f337(f339(f893(x102274,a878)),x102275),f337(f337(f61(x102274),x1022710),x1022711)))+~P24(f337(f337(f339(f893(x102271,a878)),f337(f337(x102276,f509(x102277,x102275,x102273,x102276,x102271,x1022711,x1022710,x102274,x102279,x102278,x102272)),f510(x102277,x102275,x102273,x102276,x102271,x1022711,x1022710,x102274,x102279,x102278,x102272))),x102277))+P24(f337(f337(f339(f893(x102271,a878)),f337(f337(f42(x102272,f893(x102271,a878)),x102273),f337(f337(f8(f893(x102274,f893(x102271,a878)),f893(x102271,a878),x102272),f337(f42(x102274,f893(x102271,a878)),x102275)),x102276))),x102277))
% 198.24/198.43 [9145]E(x91451,x91452)+~P105(x91454)+~P21(x91453,x91454,x91455,f337(f337(f113(f893(x91453,a878)),f337(f175(x91453),x91451)),f337(f175(x91453),x91452)))+~E(f337(f175(x91453),x91451),f337(f175(x91453),x91452))+~P30(x91454,f337(f337(f156(x91453,x91454),x91455),x91452))+~P30(x91454,f337(f337(f156(x91453,x91454),x91455),x91451))+~P24(f337(f139(x91454),f337(f337(f156(x91453,x91454),x91455),x91452)))+~P24(f337(f139(x91454),f337(f337(f156(x91453,x91454),x91455),x91451)))
% 198.24/198.43 %EqnAxiom
% 198.24/198.43 [1]E(x11,x11)
% 198.24/198.43 [2]E(x22,x21)+~E(x21,x22)
% 198.24/198.43 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 198.24/198.43 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 198.24/198.43 [5]~E(x51,x52)+E(f103(x51),f103(x52))
% 198.24/198.43 [6]~E(x61,x62)+E(f22(x61),f22(x62))
% 198.24/198.43 [7]~E(x71,x72)+E(f197(x71),f197(x72))
% 198.24/198.43 [8]~E(x81,x82)+E(f337(x81,x83),f337(x82,x83))
% 198.24/198.43 [9]~E(x91,x92)+E(f337(x93,x91),f337(x93,x92))
% 198.24/198.43 [10]~E(x101,x102)+E(f31(x101),f31(x102))
% 198.24/198.43 [11]~E(x111,x112)+E(f893(x111,x113),f893(x112,x113))
% 198.24/198.43 [12]~E(x121,x122)+E(f893(x123,x121),f893(x123,x122))
% 198.24/198.43 [13]~E(x131,x132)+E(f104(x131),f104(x132))
% 198.24/198.43 [14]~E(x141,x142)+E(f249(x141),f249(x142))
% 198.24/198.43 [15]~E(x151,x152)+E(f113(x151),f113(x152))
% 198.24/198.43 [16]~E(x161,x162)+E(f250(x161),f250(x162))
% 198.24/198.43 [17]~E(x171,x172)+E(f105(x171),f105(x172))
% 198.24/198.43 [18]~E(x181,x182)+E(f34(x181),f34(x182))
% 198.24/198.43 [19]~E(x191,x192)+E(f85(x191),f85(x192))
% 198.24/198.43 [20]~E(x201,x202)+E(f507(x201,x203,x204,x205,x206,x207,x208),f507(x202,x203,x204,x205,x206,x207,x208))
% 198.24/198.43 [21]~E(x211,x212)+E(f507(x213,x211,x214,x215,x216,x217,x218),f507(x213,x212,x214,x215,x216,x217,x218))
% 198.24/198.43 [22]~E(x221,x222)+E(f507(x223,x224,x221,x225,x226,x227,x228),f507(x223,x224,x222,x225,x226,x227,x228))
% 198.24/198.43 [23]~E(x231,x232)+E(f507(x233,x234,x235,x231,x236,x237,x238),f507(x233,x234,x235,x232,x236,x237,x238))
% 198.24/198.43 [24]~E(x241,x242)+E(f507(x243,x244,x245,x246,x241,x247,x248),f507(x243,x244,x245,x246,x242,x247,x248))
% 198.24/198.43 [25]~E(x251,x252)+E(f507(x253,x254,x255,x256,x257,x251,x258),f507(x253,x254,x255,x256,x257,x252,x258))
% 198.24/198.43 [26]~E(x261,x262)+E(f507(x263,x264,x265,x266,x267,x268,x261),f507(x263,x264,x265,x266,x267,x268,x262))
% 198.24/198.43 [27]~E(x271,x272)+E(f252(x271),f252(x272))
% 198.24/198.43 [28]~E(x281,x282)+E(f510(x281,x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812),f510(x282,x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812))
% 198.24/198.43 [29]~E(x291,x292)+E(f510(x293,x291,x294,x295,x296,x297,x298,x299,x2910,x2911,x2912),f510(x293,x292,x294,x295,x296,x297,x298,x299,x2910,x2911,x2912))
% 198.24/198.43 [30]~E(x301,x302)+E(f510(x303,x304,x301,x305,x306,x307,x308,x309,x3010,x3011,x3012),f510(x303,x304,x302,x305,x306,x307,x308,x309,x3010,x3011,x3012))
% 198.24/198.43 [31]~E(x311,x312)+E(f510(x313,x314,x315,x311,x316,x317,x318,x319,x3110,x3111,x3112),f510(x313,x314,x315,x312,x316,x317,x318,x319,x3110,x3111,x3112))
% 198.24/198.43 [32]~E(x321,x322)+E(f510(x323,x324,x325,x326,x321,x327,x328,x329,x3210,x3211,x3212),f510(x323,x324,x325,x326,x322,x327,x328,x329,x3210,x3211,x3212))
% 198.24/198.43 [33]~E(x331,x332)+E(f510(x333,x334,x335,x336,x337,x331,x338,x339,x3310,x3311,x3312),f510(x333,x334,x335,x336,x337,x332,x338,x339,x3310,x3311,x3312))
% 198.24/198.43 [34]~E(x341,x342)+E(f510(x343,x344,x345,x346,x347,x348,x341,x349,x3410,x3411,x3412),f510(x343,x344,x345,x346,x347,x348,x342,x349,x3410,x3411,x3412))
% 198.24/198.43 [35]~E(x351,x352)+E(f510(x353,x354,x355,x356,x357,x358,x359,x351,x3510,x3511,x3512),f510(x353,x354,x355,x356,x357,x358,x359,x352,x3510,x3511,x3512))
% 198.24/198.43 [36]~E(x361,x362)+E(f510(x363,x364,x365,x366,x367,x368,x369,x3610,x361,x3611,x3612),f510(x363,x364,x365,x366,x367,x368,x369,x3610,x362,x3611,x3612))
% 198.24/198.43 [37]~E(x371,x372)+E(f510(x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x371,x3712),f510(x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x372,x3712))
% 198.24/198.43 [38]~E(x381,x382)+E(f510(x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812,x381),f510(x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812,x382))
% 198.24/198.43 [39]~E(x391,x392)+E(f79(x391),f79(x392))
% 198.24/198.43 [40]~E(x401,x402)+E(f339(x401),f339(x402))
% 198.24/198.43 [41]~E(x411,x412)+E(f509(x411,x413,x414,x415,x416,x417,x418,x419,x4110,x4111,x4112),f509(x412,x413,x414,x415,x416,x417,x418,x419,x4110,x4111,x4112))
% 198.24/198.43 [42]~E(x421,x422)+E(f509(x423,x421,x424,x425,x426,x427,x428,x429,x4210,x4211,x4212),f509(x423,x422,x424,x425,x426,x427,x428,x429,x4210,x4211,x4212))
% 198.24/198.43 [43]~E(x431,x432)+E(f509(x433,x434,x431,x435,x436,x437,x438,x439,x4310,x4311,x4312),f509(x433,x434,x432,x435,x436,x437,x438,x439,x4310,x4311,x4312))
% 198.24/198.43 [44]~E(x441,x442)+E(f509(x443,x444,x445,x441,x446,x447,x448,x449,x4410,x4411,x4412),f509(x443,x444,x445,x442,x446,x447,x448,x449,x4410,x4411,x4412))
% 198.24/198.43 [45]~E(x451,x452)+E(f509(x453,x454,x455,x456,x451,x457,x458,x459,x4510,x4511,x4512),f509(x453,x454,x455,x456,x452,x457,x458,x459,x4510,x4511,x4512))
% 198.24/198.43 [46]~E(x461,x462)+E(f509(x463,x464,x465,x466,x467,x461,x468,x469,x4610,x4611,x4612),f509(x463,x464,x465,x466,x467,x462,x468,x469,x4610,x4611,x4612))
% 198.24/198.43 [47]~E(x471,x472)+E(f509(x473,x474,x475,x476,x477,x478,x471,x479,x4710,x4711,x4712),f509(x473,x474,x475,x476,x477,x478,x472,x479,x4710,x4711,x4712))
% 198.24/198.43 [48]~E(x481,x482)+E(f509(x483,x484,x485,x486,x487,x488,x489,x481,x4810,x4811,x4812),f509(x483,x484,x485,x486,x487,x488,x489,x482,x4810,x4811,x4812))
% 198.24/198.43 [49]~E(x491,x492)+E(f509(x493,x494,x495,x496,x497,x498,x499,x4910,x491,x4911,x4912),f509(x493,x494,x495,x496,x497,x498,x499,x4910,x492,x4911,x4912))
% 198.24/198.43 [50]~E(x501,x502)+E(f509(x503,x504,x505,x506,x507,x508,x509,x5010,x5011,x501,x5012),f509(x503,x504,x505,x506,x507,x508,x509,x5010,x5011,x502,x5012))
% 198.24/198.43 [51]~E(x511,x512)+E(f509(x513,x514,x515,x516,x517,x518,x519,x5110,x5111,x5112,x511),f509(x513,x514,x515,x516,x517,x518,x519,x5110,x5111,x5112,x512))
% 198.24/198.43 [52]~E(x521,x522)+E(f114(x521),f114(x522))
% 198.24/198.43 [53]~E(x531,x532)+E(f156(x531,x533),f156(x532,x533))
% 198.24/198.43 [54]~E(x541,x542)+E(f156(x543,x541),f156(x543,x542))
% 198.24/198.43 [55]~E(x551,x552)+E(f175(x551),f175(x552))
% 198.24/198.43 [56]~E(x561,x562)+E(f4(x561),f4(x562))
% 198.24/198.43 [57]~E(x571,x572)+E(f61(x571),f61(x572))
% 198.24/198.43 [58]~E(x581,x582)+E(f882(x581),f882(x582))
% 198.24/198.43 [59]~E(x591,x592)+E(f887(x591),f887(x592))
% 198.24/198.43 [60]~E(x601,x602)+E(f885(x601),f885(x602))
% 198.24/198.43 [61]~E(x611,x612)+E(f886(x611),f886(x612))
% 198.24/198.43 [62]~E(x621,x622)+E(f81(x621),f81(x622))
% 198.24/198.43 [63]~E(x631,x632)+E(f259(x631),f259(x632))
% 198.24/198.43 [64]~E(x641,x642)+E(f251(x641),f251(x642))
% 198.24/198.43 [65]~E(x651,x652)+E(f178(x651),f178(x652))
% 198.24/198.43 [66]~E(x661,x662)+E(f80(x661),f80(x662))
% 198.24/198.43 [67]~E(x671,x672)+E(f45(x671,x673,x674),f45(x672,x673,x674))
% 198.24/198.43 [68]~E(x681,x682)+E(f45(x683,x681,x684),f45(x683,x682,x684))
% 198.24/198.43 [69]~E(x691,x692)+E(f45(x693,x694,x691),f45(x693,x694,x692))
% 198.24/198.43 [70]~E(x701,x702)+E(f198(x701),f198(x702))
% 198.24/198.43 [71]~E(x711,x712)+E(f38(x711),f38(x712))
% 198.24/198.43 [72]~E(x721,x722)+E(f106(x721),f106(x722))
% 198.24/198.43 [73]~E(x731,x732)+E(f116(x731),f116(x732))
% 198.24/198.43 [74]~E(x741,x742)+E(f272(x741,x743),f272(x742,x743))
% 198.24/198.43 [75]~E(x751,x752)+E(f272(x753,x751),f272(x753,x752))
% 198.24/198.43 [76]~E(x761,x762)+E(f786(x761,x763,x764),f786(x762,x763,x764))
% 198.24/198.43 [77]~E(x771,x772)+E(f786(x773,x771,x774),f786(x773,x772,x774))
% 198.24/198.43 [78]~E(x781,x782)+E(f786(x783,x784,x781),f786(x783,x784,x782))
% 198.24/198.43 [79]~E(x791,x792)+E(f892(x791,x793),f892(x792,x793))
% 198.24/198.43 [80]~E(x801,x802)+E(f892(x803,x801),f892(x803,x802))
% 198.24/198.43 [81]~E(x811,x812)+E(f62(x811),f62(x812))
% 198.24/198.43 [82]~E(x821,x822)+E(f82(x821),f82(x822))
% 198.24/198.43 [83]~E(x831,x832)+E(f49(x831,x833),f49(x832,x833))
% 198.24/198.43 [84]~E(x841,x842)+E(f49(x843,x841),f49(x843,x842))
% 198.24/198.43 [85]~E(x851,x852)+E(f8(x851,x853,x854),f8(x852,x853,x854))
% 198.24/198.43 [86]~E(x861,x862)+E(f8(x863,x861,x864),f8(x863,x862,x864))
% 198.24/198.43 [87]~E(x871,x872)+E(f8(x873,x874,x871),f8(x873,x874,x872))
% 198.24/198.43 [88]~E(x881,x882)+E(f42(x881,x883),f42(x882,x883))
% 198.24/198.43 [89]~E(x891,x892)+E(f42(x893,x891),f42(x893,x892))
% 198.24/198.43 [90]~E(x901,x902)+E(f310(x901,x903,x904),f310(x902,x903,x904))
% 198.24/198.43 [91]~E(x911,x912)+E(f310(x913,x911,x914),f310(x913,x912,x914))
% 198.24/198.43 [92]~E(x921,x922)+E(f310(x923,x924,x921),f310(x923,x924,x922))
% 198.24/198.43 [93]~E(x931,x932)+E(f7(x931,x933,x934),f7(x932,x933,x934))
% 198.24/198.43 [94]~E(x941,x942)+E(f7(x943,x941,x944),f7(x943,x942,x944))
% 198.24/198.43 [95]~E(x951,x952)+E(f7(x953,x954,x951),f7(x953,x954,x952))
% 198.24/198.43 [96]~E(x961,x962)+E(f43(x961,x963),f43(x962,x963))
% 198.24/198.43 [97]~E(x971,x972)+E(f43(x973,x971),f43(x973,x972))
% 198.24/198.43 [98]~E(x981,x982)+E(f636(x981,x983,x984),f636(x982,x983,x984))
% 198.24/198.43 [99]~E(x991,x992)+E(f636(x993,x991,x994),f636(x993,x992,x994))
% 198.24/198.43 [100]~E(x1001,x1002)+E(f636(x1003,x1004,x1001),f636(x1003,x1004,x1002))
% 198.24/198.43 [101]~E(x1011,x1012)+E(f73(x1011,x1013),f73(x1012,x1013))
% 198.24/198.43 [102]~E(x1021,x1022)+E(f73(x1023,x1021),f73(x1023,x1022))
% 198.24/198.43 [103]~E(x1031,x1032)+E(f508(x1031,x1033,x1034,x1035,x1036,x1037,x1038),f508(x1032,x1033,x1034,x1035,x1036,x1037,x1038))
% 198.24/198.43 [104]~E(x1041,x1042)+E(f508(x1043,x1041,x1044,x1045,x1046,x1047,x1048),f508(x1043,x1042,x1044,x1045,x1046,x1047,x1048))
% 198.24/198.43 [105]~E(x1051,x1052)+E(f508(x1053,x1054,x1051,x1055,x1056,x1057,x1058),f508(x1053,x1054,x1052,x1055,x1056,x1057,x1058))
% 198.24/198.43 [106]~E(x1061,x1062)+E(f508(x1063,x1064,x1065,x1061,x1066,x1067,x1068),f508(x1063,x1064,x1065,x1062,x1066,x1067,x1068))
% 198.24/198.43 [107]~E(x1071,x1072)+E(f508(x1073,x1074,x1075,x1076,x1071,x1077,x1078),f508(x1073,x1074,x1075,x1076,x1072,x1077,x1078))
% 198.24/198.43 [108]~E(x1081,x1082)+E(f508(x1083,x1084,x1085,x1086,x1087,x1081,x1088),f508(x1083,x1084,x1085,x1086,x1087,x1082,x1088))
% 198.24/198.43 [109]~E(x1091,x1092)+E(f508(x1093,x1094,x1095,x1096,x1097,x1098,x1091),f508(x1093,x1094,x1095,x1096,x1097,x1098,x1092))
% 198.24/198.43 [110]~E(x1101,x1102)+E(f139(x1101),f139(x1102))
% 198.24/198.43 [111]~E(x1111,x1112)+E(f47(x1111,x1113),f47(x1112,x1113))
% 198.24/198.43 [112]~E(x1121,x1122)+E(f47(x1123,x1121),f47(x1123,x1122))
% 198.24/198.43 [113]~E(x1131,x1132)+E(f283(x1131,x1133),f283(x1132,x1133))
% 198.24/198.43 [114]~E(x1141,x1142)+E(f283(x1143,x1141),f283(x1143,x1142))
% 198.24/198.43 [115]~E(x1151,x1152)+E(f136(x1151),f136(x1152))
% 198.24/198.43 [116]~E(x1161,x1162)+E(f93(x1161),f93(x1162))
% 198.24/198.43 [117]~E(x1171,x1172)+E(f153(x1171),f153(x1172))
% 198.24/198.43 [118]~E(x1181,x1182)+E(f295(x1181),f295(x1182))
% 198.24/198.43 [119]~E(x1191,x1192)+E(f308(x1191,x1193,x1194),f308(x1192,x1193,x1194))
% 198.24/198.43 [120]~E(x1201,x1202)+E(f308(x1203,x1201,x1204),f308(x1203,x1202,x1204))
% 198.24/198.43 [121]~E(x1211,x1212)+E(f308(x1213,x1214,x1211),f308(x1213,x1214,x1212))
% 198.24/198.43 [122]~E(x1221,x1222)+E(f138(x1221,x1223),f138(x1222,x1223))
% 198.24/198.43 [123]~E(x1231,x1232)+E(f138(x1233,x1231),f138(x1233,x1232))
% 198.24/198.43 [124]~E(x1241,x1242)+E(f15(x1241,x1243),f15(x1242,x1243))
% 198.24/198.43 [125]~E(x1251,x1252)+E(f15(x1253,x1251),f15(x1253,x1252))
% 198.24/198.43 [126]~E(x1261,x1262)+E(f781(x1261,x1263,x1264,x1265,x1266,x1267,x1268),f781(x1262,x1263,x1264,x1265,x1266,x1267,x1268))
% 198.24/198.43 [127]~E(x1271,x1272)+E(f781(x1273,x1271,x1274,x1275,x1276,x1277,x1278),f781(x1273,x1272,x1274,x1275,x1276,x1277,x1278))
% 198.24/198.43 [128]~E(x1281,x1282)+E(f781(x1283,x1284,x1281,x1285,x1286,x1287,x1288),f781(x1283,x1284,x1282,x1285,x1286,x1287,x1288))
% 198.24/198.43 [129]~E(x1291,x1292)+E(f781(x1293,x1294,x1295,x1291,x1296,x1297,x1298),f781(x1293,x1294,x1295,x1292,x1296,x1297,x1298))
% 198.24/198.43 [130]~E(x1301,x1302)+E(f781(x1303,x1304,x1305,x1306,x1301,x1307,x1308),f781(x1303,x1304,x1305,x1306,x1302,x1307,x1308))
% 198.24/198.43 [131]~E(x1311,x1312)+E(f781(x1313,x1314,x1315,x1316,x1317,x1311,x1318),f781(x1313,x1314,x1315,x1316,x1317,x1312,x1318))
% 198.24/198.43 [132]~E(x1321,x1322)+E(f781(x1323,x1324,x1325,x1326,x1327,x1328,x1321),f781(x1323,x1324,x1325,x1326,x1327,x1328,x1322))
% 198.24/198.43 [133]~E(x1331,x1332)+E(f167(x1331),f167(x1332))
% 198.24/198.43 [134]~E(x1341,x1342)+E(f40(x1341,x1343),f40(x1342,x1343))
% 198.24/198.43 [135]~E(x1351,x1352)+E(f40(x1353,x1351),f40(x1353,x1352))
% 198.24/198.43 [136]~E(x1361,x1362)+E(f562(x1361,x1363,x1364),f562(x1362,x1363,x1364))
% 198.24/198.43 [137]~E(x1371,x1372)+E(f562(x1373,x1371,x1374),f562(x1373,x1372,x1374))
% 198.24/198.43 [138]~E(x1381,x1382)+E(f562(x1383,x1384,x1381),f562(x1383,x1384,x1382))
% 198.24/198.43 [139]~E(x1391,x1392)+E(f317(x1391,x1393,x1394),f317(x1392,x1393,x1394))
% 198.24/198.43 [140]~E(x1401,x1402)+E(f317(x1403,x1401,x1404),f317(x1403,x1402,x1404))
% 198.24/198.43 [141]~E(x1411,x1412)+E(f317(x1413,x1414,x1411),f317(x1413,x1414,x1412))
% 198.24/198.43 [142]~E(x1421,x1422)+E(f824(x1421,x1423,x1424),f824(x1422,x1423,x1424))
% 198.24/198.43 [143]~E(x1431,x1432)+E(f824(x1433,x1431,x1434),f824(x1433,x1432,x1434))
% 198.24/198.43 [144]~E(x1441,x1442)+E(f824(x1443,x1444,x1441),f824(x1443,x1444,x1442))
% 198.24/198.43 [145]~E(x1451,x1452)+E(f266(x1451,x1453,x1454),f266(x1452,x1453,x1454))
% 198.24/198.43 [146]~E(x1461,x1462)+E(f266(x1463,x1461,x1464),f266(x1463,x1462,x1464))
% 198.24/198.43 [147]~E(x1471,x1472)+E(f266(x1473,x1474,x1471),f266(x1473,x1474,x1472))
% 198.24/198.43 [148]~E(x1481,x1482)+E(f276(x1481,x1483,x1484),f276(x1482,x1483,x1484))
% 198.24/198.43 [149]~E(x1491,x1492)+E(f276(x1493,x1491,x1494),f276(x1493,x1492,x1494))
% 198.24/198.43 [150]~E(x1501,x1502)+E(f276(x1503,x1504,x1501),f276(x1503,x1504,x1502))
% 198.24/198.43 [151]~E(x1511,x1512)+E(f64(x1511,x1513),f64(x1512,x1513))
% 198.24/198.43 [152]~E(x1521,x1522)+E(f64(x1523,x1521),f64(x1523,x1522))
% 198.24/198.43 [153]~E(x1531,x1532)+E(f876(x1531,x1533,x1534),f876(x1532,x1533,x1534))
% 198.24/198.43 [154]~E(x1541,x1542)+E(f876(x1543,x1541,x1544),f876(x1543,x1542,x1544))
% 198.24/198.43 [155]~E(x1551,x1552)+E(f876(x1553,x1554,x1551),f876(x1553,x1554,x1552))
% 198.24/198.43 [156]~E(x1561,x1562)+E(f611(x1561,x1563,x1564,x1565,x1566),f611(x1562,x1563,x1564,x1565,x1566))
% 198.24/198.43 [157]~E(x1571,x1572)+E(f611(x1573,x1571,x1574,x1575,x1576),f611(x1573,x1572,x1574,x1575,x1576))
% 198.24/198.43 [158]~E(x1581,x1582)+E(f611(x1583,x1584,x1581,x1585,x1586),f611(x1583,x1584,x1582,x1585,x1586))
% 198.24/198.43 [159]~E(x1591,x1592)+E(f611(x1593,x1594,x1595,x1591,x1596),f611(x1593,x1594,x1595,x1592,x1596))
% 198.24/198.43 [160]~E(x1601,x1602)+E(f611(x1603,x1604,x1605,x1606,x1601),f611(x1603,x1604,x1605,x1606,x1602))
% 198.24/198.43 [161]~E(x1611,x1612)+E(f9(x1611,x1613),f9(x1612,x1613))
% 198.24/198.43 [162]~E(x1621,x1622)+E(f9(x1623,x1621),f9(x1623,x1622))
% 198.24/198.43 [163]~E(x1631,x1632)+E(f277(x1631,x1633,x1634,x1635,x1636,x1637),f277(x1632,x1633,x1634,x1635,x1636,x1637))
% 198.24/198.43 [164]~E(x1641,x1642)+E(f277(x1643,x1641,x1644,x1645,x1646,x1647),f277(x1643,x1642,x1644,x1645,x1646,x1647))
% 198.24/198.43 [165]~E(x1651,x1652)+E(f277(x1653,x1654,x1651,x1655,x1656,x1657),f277(x1653,x1654,x1652,x1655,x1656,x1657))
% 198.24/198.43 [166]~E(x1661,x1662)+E(f277(x1663,x1664,x1665,x1661,x1666,x1667),f277(x1663,x1664,x1665,x1662,x1666,x1667))
% 198.24/198.43 [167]~E(x1671,x1672)+E(f277(x1673,x1674,x1675,x1676,x1671,x1677),f277(x1673,x1674,x1675,x1676,x1672,x1677))
% 198.24/198.43 [168]~E(x1681,x1682)+E(f277(x1683,x1684,x1685,x1686,x1687,x1681),f277(x1683,x1684,x1685,x1686,x1687,x1682))
% 198.24/198.43 [169]~E(x1691,x1692)+E(f16(x1691,x1693),f16(x1692,x1693))
% 198.24/198.43 [170]~E(x1701,x1702)+E(f16(x1703,x1701),f16(x1703,x1702))
% 198.24/198.43 [171]~E(x1711,x1712)+E(f753(x1711,x1713),f753(x1712,x1713))
% 198.24/198.43 [172]~E(x1721,x1722)+E(f753(x1723,x1721),f753(x1723,x1722))
% 198.24/198.43 [173]~E(x1731,x1732)+E(f108(x1731),f108(x1732))
% 198.24/198.43 [174]~E(x1741,x1742)+E(f110(x1741),f110(x1742))
% 198.24/198.43 [175]~E(x1751,x1752)+E(f338(x1751),f338(x1752))
% 198.24/198.43 [176]~E(x1761,x1762)+E(f181(x1761,x1763),f181(x1762,x1763))
% 198.24/198.43 [177]~E(x1771,x1772)+E(f181(x1773,x1771),f181(x1773,x1772))
% 198.24/198.43 [178]~E(x1781,x1782)+E(f18(x1781,x1783,x1784),f18(x1782,x1783,x1784))
% 198.24/198.43 [179]~E(x1791,x1792)+E(f18(x1793,x1791,x1794),f18(x1793,x1792,x1794))
% 198.24/198.43 [180]~E(x1801,x1802)+E(f18(x1803,x1804,x1801),f18(x1803,x1804,x1802))
% 198.24/198.43 [181]~E(x1811,x1812)+E(f260(x1811),f260(x1812))
% 198.24/198.43 [182]~E(x1821,x1822)+E(f779(x1821,x1823,x1824,x1825,x1826,x1827,x1828),f779(x1822,x1823,x1824,x1825,x1826,x1827,x1828))
% 198.24/198.43 [183]~E(x1831,x1832)+E(f779(x1833,x1831,x1834,x1835,x1836,x1837,x1838),f779(x1833,x1832,x1834,x1835,x1836,x1837,x1838))
% 198.24/198.43 [184]~E(x1841,x1842)+E(f779(x1843,x1844,x1841,x1845,x1846,x1847,x1848),f779(x1843,x1844,x1842,x1845,x1846,x1847,x1848))
% 198.24/198.43 [185]~E(x1851,x1852)+E(f779(x1853,x1854,x1855,x1851,x1856,x1857,x1858),f779(x1853,x1854,x1855,x1852,x1856,x1857,x1858))
% 198.24/198.43 [186]~E(x1861,x1862)+E(f779(x1863,x1864,x1865,x1866,x1861,x1867,x1868),f779(x1863,x1864,x1865,x1866,x1862,x1867,x1868))
% 198.24/198.43 [187]~E(x1871,x1872)+E(f779(x1873,x1874,x1875,x1876,x1877,x1871,x1878),f779(x1873,x1874,x1875,x1876,x1877,x1872,x1878))
% 198.24/198.43 [188]~E(x1881,x1882)+E(f779(x1883,x1884,x1885,x1886,x1887,x1888,x1881),f779(x1883,x1884,x1885,x1886,x1887,x1888,x1882))
% 198.24/198.43 [189]~E(x1891,x1892)+E(f5(x1891),f5(x1892))
% 198.24/198.43 [190]~E(x1901,x1902)+E(f270(x1901,x1903),f270(x1902,x1903))
% 198.24/198.43 [191]~E(x1911,x1912)+E(f270(x1913,x1911),f270(x1913,x1912))
% 198.24/198.43 [192]~E(x1921,x1922)+E(f257(x1921),f257(x1922))
% 198.24/198.43 [193]~E(x1931,x1932)+E(f262(x1931),f262(x1932))
% 198.24/198.43 [194]~E(x1941,x1942)+E(f119(x1941,x1943,x1944),f119(x1942,x1943,x1944))
% 198.24/198.43 [195]~E(x1951,x1952)+E(f119(x1953,x1951,x1954),f119(x1953,x1952,x1954))
% 198.24/198.43 [196]~E(x1961,x1962)+E(f119(x1963,x1964,x1961),f119(x1963,x1964,x1962))
% 198.24/198.43 [197]~E(x1971,x1972)+E(f315(x1971),f315(x1972))
% 198.24/198.43 [198]~E(x1981,x1982)+E(f316(x1981,x1983,x1984),f316(x1982,x1983,x1984))
% 198.24/198.43 [199]~E(x1991,x1992)+E(f316(x1993,x1991,x1994),f316(x1993,x1992,x1994))
% 198.24/198.43 [200]~E(x2001,x2002)+E(f316(x2003,x2004,x2001),f316(x2003,x2004,x2002))
% 198.24/198.43 [201]~E(x2011,x2012)+E(f76(x2011),f76(x2012))
% 198.24/198.43 [202]~E(x2021,x2022)+E(f621(x2021,x2023,x2024,x2025),f621(x2022,x2023,x2024,x2025))
% 198.24/198.43 [203]~E(x2031,x2032)+E(f621(x2033,x2031,x2034,x2035),f621(x2033,x2032,x2034,x2035))
% 198.24/198.43 [204]~E(x2041,x2042)+E(f621(x2043,x2044,x2041,x2045),f621(x2043,x2044,x2042,x2045))
% 198.24/198.43 [205]~E(x2051,x2052)+E(f621(x2053,x2054,x2055,x2051),f621(x2053,x2054,x2055,x2052))
% 198.24/198.43 [206]~E(x2061,x2062)+E(f868(x2061,x2063,x2064),f868(x2062,x2063,x2064))
% 198.24/198.43 [207]~E(x2071,x2072)+E(f868(x2073,x2071,x2074),f868(x2073,x2072,x2074))
% 198.24/198.43 [208]~E(x2081,x2082)+E(f868(x2083,x2084,x2081),f868(x2083,x2084,x2082))
% 198.24/198.43 [209]~E(x2091,x2092)+E(f162(x2091,x2093),f162(x2092,x2093))
% 198.24/198.43 [210]~E(x2101,x2102)+E(f162(x2103,x2101),f162(x2103,x2102))
% 198.24/198.43 [211]~E(x2111,x2112)+E(f209(x2111),f209(x2112))
% 198.24/198.43 [212]~E(x2121,x2122)+E(f6(x2121,x2123),f6(x2122,x2123))
% 198.24/198.43 [213]~E(x2131,x2132)+E(f6(x2133,x2131),f6(x2133,x2132))
% 198.24/198.43 [214]~E(x2141,x2142)+E(f641(x2141,x2143,x2144),f641(x2142,x2143,x2144))
% 198.24/198.43 [215]~E(x2151,x2152)+E(f641(x2153,x2151,x2154),f641(x2153,x2152,x2154))
% 198.24/198.43 [216]~E(x2161,x2162)+E(f641(x2163,x2164,x2161),f641(x2163,x2164,x2162))
% 198.24/198.43 [217]~E(x2171,x2172)+E(f818(x2171,x2173,x2174),f818(x2172,x2173,x2174))
% 198.24/198.43 [218]~E(x2181,x2182)+E(f818(x2183,x2181,x2184),f818(x2183,x2182,x2184))
% 198.24/198.43 [219]~E(x2191,x2192)+E(f818(x2193,x2194,x2191),f818(x2193,x2194,x2192))
% 198.24/198.43 [220]~E(x2201,x2202)+E(f294(x2201,x2203,x2204),f294(x2202,x2203,x2204))
% 198.24/198.43 [221]~E(x2211,x2212)+E(f294(x2213,x2211,x2214),f294(x2213,x2212,x2214))
% 198.24/198.43 [222]~E(x2221,x2222)+E(f294(x2223,x2224,x2221),f294(x2223,x2224,x2222))
% 198.24/198.43 [223]~E(x2231,x2232)+E(f171(x2231),f171(x2232))
% 198.24/198.43 [224]~E(x2241,x2242)+E(f159(x2241,x2243),f159(x2242,x2243))
% 198.24/198.43 [225]~E(x2251,x2252)+E(f159(x2253,x2251),f159(x2253,x2252))
% 198.24/198.43 [226]~E(x2261,x2262)+E(f267(x2261,x2263,x2264),f267(x2262,x2263,x2264))
% 198.24/198.43 [227]~E(x2271,x2272)+E(f267(x2273,x2271,x2274),f267(x2273,x2272,x2274))
% 198.24/198.43 [228]~E(x2281,x2282)+E(f267(x2283,x2284,x2281),f267(x2283,x2284,x2282))
% 198.24/198.43 [229]~E(x2291,x2292)+E(f464(x2291,x2293,x2294,x2295,x2296),f464(x2292,x2293,x2294,x2295,x2296))
% 198.24/198.43 [230]~E(x2301,x2302)+E(f464(x2303,x2301,x2304,x2305,x2306),f464(x2303,x2302,x2304,x2305,x2306))
% 198.24/198.43 [231]~E(x2311,x2312)+E(f464(x2313,x2314,x2311,x2315,x2316),f464(x2313,x2314,x2312,x2315,x2316))
% 198.24/198.43 [232]~E(x2321,x2322)+E(f464(x2323,x2324,x2325,x2321,x2326),f464(x2323,x2324,x2325,x2322,x2326))
% 198.24/198.43 [233]~E(x2331,x2332)+E(f464(x2333,x2334,x2335,x2336,x2331),f464(x2333,x2334,x2335,x2336,x2332))
% 198.24/198.43 [234]~E(x2341,x2342)+E(f564(x2341,x2343,x2344),f564(x2342,x2343,x2344))
% 198.24/198.43 [235]~E(x2351,x2352)+E(f564(x2353,x2351,x2354),f564(x2353,x2352,x2354))
% 198.24/198.43 [236]~E(x2361,x2362)+E(f564(x2363,x2364,x2361),f564(x2363,x2364,x2362))
% 198.24/198.43 [237]~E(x2371,x2372)+E(f158(x2371,x2373,x2374,x2375),f158(x2372,x2373,x2374,x2375))
% 198.24/198.43 [238]~E(x2381,x2382)+E(f158(x2383,x2381,x2384,x2385),f158(x2383,x2382,x2384,x2385))
% 198.24/198.43 [239]~E(x2391,x2392)+E(f158(x2393,x2394,x2391,x2395),f158(x2393,x2394,x2392,x2395))
% 198.24/198.43 [240]~E(x2401,x2402)+E(f158(x2403,x2404,x2405,x2401),f158(x2403,x2404,x2405,x2402))
% 198.24/198.43 [241]~E(x2411,x2412)+E(f620(x2411,x2413,x2414,x2415),f620(x2412,x2413,x2414,x2415))
% 198.24/198.43 [242]~E(x2421,x2422)+E(f620(x2423,x2421,x2424,x2425),f620(x2423,x2422,x2424,x2425))
% 198.24/198.43 [243]~E(x2431,x2432)+E(f620(x2433,x2434,x2431,x2435),f620(x2433,x2434,x2432,x2435))
% 198.24/198.43 [244]~E(x2441,x2442)+E(f620(x2443,x2444,x2445,x2441),f620(x2443,x2444,x2445,x2442))
% 198.24/198.43 [245]~E(x2451,x2452)+E(f813(x2451,x2453,x2454,x2455),f813(x2452,x2453,x2454,x2455))
% 198.24/198.43 [246]~E(x2461,x2462)+E(f813(x2463,x2461,x2464,x2465),f813(x2463,x2462,x2464,x2465))
% 198.24/198.43 [247]~E(x2471,x2472)+E(f813(x2473,x2474,x2471,x2475),f813(x2473,x2474,x2472,x2475))
% 198.24/198.43 [248]~E(x2481,x2482)+E(f813(x2483,x2484,x2485,x2481),f813(x2483,x2484,x2485,x2482))
% 198.24/198.43 [249]~E(x2491,x2492)+E(f826(x2491,x2493,x2494),f826(x2492,x2493,x2494))
% 198.24/198.43 [250]~E(x2501,x2502)+E(f826(x2503,x2501,x2504),f826(x2503,x2502,x2504))
% 198.24/198.43 [251]~E(x2511,x2512)+E(f826(x2513,x2514,x2511),f826(x2513,x2514,x2512))
% 198.24/198.43 [252]~E(x2521,x2522)+E(f281(x2521,x2523),f281(x2522,x2523))
% 198.24/198.43 [253]~E(x2531,x2532)+E(f281(x2533,x2531),f281(x2533,x2532))
% 198.24/198.43 [254]~E(x2541,x2542)+E(f74(x2541,x2543,x2544,x2545),f74(x2542,x2543,x2544,x2545))
% 198.24/198.43 [255]~E(x2551,x2552)+E(f74(x2553,x2551,x2554,x2555),f74(x2553,x2552,x2554,x2555))
% 198.24/198.43 [256]~E(x2561,x2562)+E(f74(x2563,x2564,x2561,x2565),f74(x2563,x2564,x2562,x2565))
% 198.24/198.43 [257]~E(x2571,x2572)+E(f74(x2573,x2574,x2575,x2571),f74(x2573,x2574,x2575,x2572))
% 198.24/198.43 [258]~E(x2581,x2582)+E(f787(x2581,x2583,x2584),f787(x2582,x2583,x2584))
% 198.24/198.43 [259]~E(x2591,x2592)+E(f787(x2593,x2591,x2594),f787(x2593,x2592,x2594))
% 198.24/198.43 [260]~E(x2601,x2602)+E(f787(x2603,x2604,x2601),f787(x2603,x2604,x2602))
% 198.24/198.43 [261]~E(x2611,x2612)+E(f472(x2611,x2613,x2614,x2615),f472(x2612,x2613,x2614,x2615))
% 198.24/198.43 [262]~E(x2621,x2622)+E(f472(x2623,x2621,x2624,x2625),f472(x2623,x2622,x2624,x2625))
% 198.24/198.43 [263]~E(x2631,x2632)+E(f472(x2633,x2634,x2631,x2635),f472(x2633,x2634,x2632,x2635))
% 198.24/198.43 [264]~E(x2641,x2642)+E(f472(x2643,x2644,x2645,x2641),f472(x2643,x2644,x2645,x2642))
% 198.24/198.43 [265]~E(x2651,x2652)+E(f311(x2651,x2653,x2654),f311(x2652,x2653,x2654))
% 198.24/198.43 [266]~E(x2661,x2662)+E(f311(x2663,x2661,x2664),f311(x2663,x2662,x2664))
% 198.24/198.43 [267]~E(x2671,x2672)+E(f311(x2673,x2674,x2671),f311(x2673,x2674,x2672))
% 198.24/198.43 [268]~E(x2681,x2682)+E(f144(x2681,x2683,x2684,x2685),f144(x2682,x2683,x2684,x2685))
% 198.24/198.43 [269]~E(x2691,x2692)+E(f144(x2693,x2691,x2694,x2695),f144(x2693,x2692,x2694,x2695))
% 198.24/198.43 [270]~E(x2701,x2702)+E(f144(x2703,x2704,x2701,x2705),f144(x2703,x2704,x2702,x2705))
% 198.24/198.43 [271]~E(x2711,x2712)+E(f144(x2713,x2714,x2715,x2711),f144(x2713,x2714,x2715,x2712))
% 198.24/198.43 [272]~E(x2721,x2722)+E(f143(x2721),f143(x2722))
% 198.24/198.43 [273]~E(x2731,x2732)+E(f274(x2731,x2733),f274(x2732,x2733))
% 198.24/198.43 [274]~E(x2741,x2742)+E(f274(x2743,x2741),f274(x2743,x2742))
% 198.24/198.43 [275]~E(x2751,x2752)+E(f313(x2751,x2753),f313(x2752,x2753))
% 198.24/198.43 [276]~E(x2761,x2762)+E(f313(x2763,x2761),f313(x2763,x2762))
% 198.24/198.43 [277]~E(x2771,x2772)+E(f732(x2771,x2773),f732(x2772,x2773))
% 198.24/198.43 [278]~E(x2781,x2782)+E(f732(x2783,x2781),f732(x2783,x2782))
% 198.24/198.43 [279]~E(x2791,x2792)+E(f696(x2791,x2793,x2794,x2795,x2796),f696(x2792,x2793,x2794,x2795,x2796))
% 198.24/198.43 [280]~E(x2801,x2802)+E(f696(x2803,x2801,x2804,x2805,x2806),f696(x2803,x2802,x2804,x2805,x2806))
% 198.24/198.43 [281]~E(x2811,x2812)+E(f696(x2813,x2814,x2811,x2815,x2816),f696(x2813,x2814,x2812,x2815,x2816))
% 198.24/198.43 [282]~E(x2821,x2822)+E(f696(x2823,x2824,x2825,x2821,x2826),f696(x2823,x2824,x2825,x2822,x2826))
% 198.24/198.43 [283]~E(x2831,x2832)+E(f696(x2833,x2834,x2835,x2836,x2831),f696(x2833,x2834,x2835,x2836,x2832))
% 198.24/198.43 [284]~E(x2841,x2842)+E(f528(x2841,x2843,x2844,x2845),f528(x2842,x2843,x2844,x2845))
% 198.24/198.43 [285]~E(x2851,x2852)+E(f528(x2853,x2851,x2854,x2855),f528(x2853,x2852,x2854,x2855))
% 198.24/198.43 [286]~E(x2861,x2862)+E(f528(x2863,x2864,x2861,x2865),f528(x2863,x2864,x2862,x2865))
% 198.24/198.43 [287]~E(x2871,x2872)+E(f528(x2873,x2874,x2875,x2871),f528(x2873,x2874,x2875,x2872))
% 198.24/198.43 [288]~E(x2881,x2882)+E(f117(x2881,x2883),f117(x2882,x2883))
% 198.24/198.43 [289]~E(x2891,x2892)+E(f117(x2893,x2891),f117(x2893,x2892))
% 198.24/198.43 [290]~E(x2901,x2902)+E(f92(x2901),f92(x2902))
% 198.24/198.43 [291]~E(x2911,x2912)+E(f140(x2911),f140(x2912))
% 198.24/198.43 [292]~E(x2921,x2922)+E(f154(x2921,x2923),f154(x2922,x2923))
% 198.24/198.43 [293]~E(x2931,x2932)+E(f154(x2933,x2931),f154(x2933,x2932))
% 198.24/198.43 [294]~E(x2941,x2942)+E(f33(x2941,x2943),f33(x2942,x2943))
% 198.24/198.43 [295]~E(x2951,x2952)+E(f33(x2953,x2951),f33(x2953,x2952))
% 198.24/198.43 [296]~E(x2961,x2962)+E(f200(x2961),f200(x2962))
% 198.24/198.43 [297]~E(x2971,x2972)+E(f495(x2971,x2973,x2974),f495(x2972,x2973,x2974))
% 198.24/198.43 [298]~E(x2981,x2982)+E(f495(x2983,x2981,x2984),f495(x2983,x2982,x2984))
% 198.24/198.43 [299]~E(x2991,x2992)+E(f495(x2993,x2994,x2991),f495(x2993,x2994,x2992))
% 198.24/198.43 [300]~E(x3001,x3002)+E(f118(x3001),f118(x3002))
% 198.24/198.43 [301]~E(x3011,x3012)+E(f65(x3011,x3013,x3014),f65(x3012,x3013,x3014))
% 198.24/198.43 [302]~E(x3021,x3022)+E(f65(x3023,x3021,x3024),f65(x3023,x3022,x3024))
% 198.24/198.43 [303]~E(x3031,x3032)+E(f65(x3033,x3034,x3031),f65(x3033,x3034,x3032))
% 198.24/198.43 [304]~E(x3041,x3042)+E(f10(x3041,x3043),f10(x3042,x3043))
% 198.24/198.43 [305]~E(x3051,x3052)+E(f10(x3053,x3051),f10(x3053,x3052))
% 198.24/198.43 [306]~E(x3061,x3062)+E(f160(x3061,x3063),f160(x3062,x3063))
% 198.24/198.43 [307]~E(x3071,x3072)+E(f160(x3073,x3071),f160(x3073,x3072))
% 198.24/198.43 [308]~E(x3081,x3082)+E(f174(x3081),f174(x3082))
% 198.24/198.43 [309]~E(x3091,x3092)+E(f573(x3091,x3093,x3094),f573(x3092,x3093,x3094))
% 198.24/198.43 [310]~E(x3101,x3102)+E(f573(x3103,x3101,x3104),f573(x3103,x3102,x3104))
% 198.24/198.43 [311]~E(x3111,x3112)+E(f573(x3113,x3114,x3111),f573(x3113,x3114,x3112))
% 198.24/198.43 [312]~E(x3121,x3122)+E(f716(x3121,x3123,x3124,x3125),f716(x3122,x3123,x3124,x3125))
% 198.24/198.43 [313]~E(x3131,x3132)+E(f716(x3133,x3131,x3134,x3135),f716(x3133,x3132,x3134,x3135))
% 198.24/198.43 [314]~E(x3141,x3142)+E(f716(x3143,x3144,x3141,x3145),f716(x3143,x3144,x3142,x3145))
% 198.24/198.43 [315]~E(x3151,x3152)+E(f716(x3153,x3154,x3155,x3151),f716(x3153,x3154,x3155,x3152))
% 198.24/198.43 [316]~E(x3161,x3162)+E(f172(x3161,x3163,x3164),f172(x3162,x3163,x3164))
% 198.24/198.43 [317]~E(x3171,x3172)+E(f172(x3173,x3171,x3174),f172(x3173,x3172,x3174))
% 198.24/198.43 [318]~E(x3181,x3182)+E(f172(x3183,x3184,x3181),f172(x3183,x3184,x3182))
% 198.24/198.43 [319]~E(x3191,x3192)+E(f149(x3191,x3193),f149(x3192,x3193))
% 198.24/198.43 [320]~E(x3201,x3202)+E(f149(x3203,x3201),f149(x3203,x3202))
% 198.24/198.43 [321]~E(x3211,x3212)+E(f891(x3211,x3213),f891(x3212,x3213))
% 198.24/198.43 [322]~E(x3221,x3222)+E(f891(x3223,x3221),f891(x3223,x3222))
% 198.24/198.43 [323]~E(x3231,x3232)+E(f83(x3231,x3233),f83(x3232,x3233))
% 198.24/198.43 [324]~E(x3241,x3242)+E(f83(x3243,x3241),f83(x3243,x3242))
% 198.24/198.43 [325]~E(x3251,x3252)+E(f888(x3251,x3253),f888(x3252,x3253))
% 198.24/198.43 [326]~E(x3261,x3262)+E(f888(x3263,x3261),f888(x3263,x3262))
% 198.24/198.43 [327]~E(x3271,x3272)+E(f192(x3271,x3273),f192(x3272,x3273))
% 198.24/198.43 [328]~E(x3281,x3282)+E(f192(x3283,x3281),f192(x3283,x3282))
% 198.24/198.43 [329]~E(x3291,x3292)+E(f823(x3291,x3293,x3294),f823(x3292,x3293,x3294))
% 198.24/198.43 [330]~E(x3301,x3302)+E(f823(x3303,x3301,x3304),f823(x3303,x3302,x3304))
% 198.24/198.43 [331]~E(x3311,x3312)+E(f823(x3313,x3314,x3311),f823(x3313,x3314,x3312))
% 198.24/198.43 [332]~E(x3321,x3322)+E(f41(x3321,x3323),f41(x3322,x3323))
% 198.24/198.43 [333]~E(x3331,x3332)+E(f41(x3333,x3331),f41(x3333,x3332))
% 198.24/198.43 [334]~E(x3341,x3342)+E(f170(x3341),f170(x3342))
% 198.24/198.43 [335]~E(x3351,x3352)+E(f394(x3351,x3353,x3354),f394(x3352,x3353,x3354))
% 198.24/198.43 [336]~E(x3361,x3362)+E(f394(x3363,x3361,x3364),f394(x3363,x3362,x3364))
% 198.24/198.43 [337]~E(x3371,x3372)+E(f394(x3373,x3374,x3371),f394(x3373,x3374,x3372))
% 198.24/198.43 [338]~E(x3381,x3382)+E(f782(x3381,x3383,x3384),f782(x3382,x3383,x3384))
% 198.24/198.43 [339]~E(x3391,x3392)+E(f782(x3393,x3391,x3394),f782(x3393,x3392,x3394))
% 198.24/198.43 [340]~E(x3401,x3402)+E(f782(x3403,x3404,x3401),f782(x3403,x3404,x3402))
% 198.24/198.43 [341]~E(x3411,x3412)+E(f306(x3411),f306(x3412))
% 198.24/198.43 [342]~E(x3421,x3422)+E(f819(x3421,x3423,x3424),f819(x3422,x3423,x3424))
% 198.24/198.43 [343]~E(x3431,x3432)+E(f819(x3433,x3431,x3434),f819(x3433,x3432,x3434))
% 198.24/198.43 [344]~E(x3441,x3442)+E(f819(x3443,x3444,x3441),f819(x3443,x3444,x3442))
% 198.24/198.43 [345]~E(x3451,x3452)+E(f150(x3451,x3453,x3454),f150(x3452,x3453,x3454))
% 198.24/198.43 [346]~E(x3461,x3462)+E(f150(x3463,x3461,x3464),f150(x3463,x3462,x3464))
% 198.24/198.43 [347]~E(x3471,x3472)+E(f150(x3473,x3474,x3471),f150(x3473,x3474,x3472))
% 198.24/198.43 [348]~E(x3481,x3482)+E(f275(x3481,x3483),f275(x3482,x3483))
% 198.24/198.43 [349]~E(x3491,x3492)+E(f275(x3493,x3491),f275(x3493,x3492))
% 198.24/198.43 [350]~E(x3501,x3502)+E(f390(x3501,x3503,x3504,x3505),f390(x3502,x3503,x3504,x3505))
% 198.24/198.43 [351]~E(x3511,x3512)+E(f390(x3513,x3511,x3514,x3515),f390(x3513,x3512,x3514,x3515))
% 198.24/198.43 [352]~E(x3521,x3522)+E(f390(x3523,x3524,x3521,x3525),f390(x3523,x3524,x3522,x3525))
% 198.24/198.43 [353]~E(x3531,x3532)+E(f390(x3533,x3534,x3535,x3531),f390(x3533,x3534,x3535,x3532))
% 198.24/198.43 [354]~E(x3541,x3542)+E(f489(x3541,x3543,x3544),f489(x3542,x3543,x3544))
% 198.24/198.43 [355]~E(x3551,x3552)+E(f489(x3553,x3551,x3554),f489(x3553,x3552,x3554))
% 198.24/198.43 [356]~E(x3561,x3562)+E(f489(x3563,x3564,x3561),f489(x3563,x3564,x3562))
% 198.24/198.43 [357]~E(x3571,x3572)+E(f271(x3571,x3573),f271(x3572,x3573))
% 198.24/198.43 [358]~E(x3581,x3582)+E(f271(x3583,x3581),f271(x3583,x3582))
% 198.24/198.43 [359]~E(x3591,x3592)+E(f764(x3591,x3593,x3594,x3595,x3596,x3597,x3598,x3599),f764(x3592,x3593,x3594,x3595,x3596,x3597,x3598,x3599))
% 198.24/198.43 [360]~E(x3601,x3602)+E(f764(x3603,x3601,x3604,x3605,x3606,x3607,x3608,x3609),f764(x3603,x3602,x3604,x3605,x3606,x3607,x3608,x3609))
% 198.24/198.43 [361]~E(x3611,x3612)+E(f764(x3613,x3614,x3611,x3615,x3616,x3617,x3618,x3619),f764(x3613,x3614,x3612,x3615,x3616,x3617,x3618,x3619))
% 198.24/198.43 [362]~E(x3621,x3622)+E(f764(x3623,x3624,x3625,x3621,x3626,x3627,x3628,x3629),f764(x3623,x3624,x3625,x3622,x3626,x3627,x3628,x3629))
% 198.24/198.43 [363]~E(x3631,x3632)+E(f764(x3633,x3634,x3635,x3636,x3631,x3637,x3638,x3639),f764(x3633,x3634,x3635,x3636,x3632,x3637,x3638,x3639))
% 198.24/198.43 [364]~E(x3641,x3642)+E(f764(x3643,x3644,x3645,x3646,x3647,x3641,x3648,x3649),f764(x3643,x3644,x3645,x3646,x3647,x3642,x3648,x3649))
% 198.24/198.43 [365]~E(x3651,x3652)+E(f764(x3653,x3654,x3655,x3656,x3657,x3658,x3651,x3659),f764(x3653,x3654,x3655,x3656,x3657,x3658,x3652,x3659))
% 198.24/198.43 [366]~E(x3661,x3662)+E(f764(x3663,x3664,x3665,x3666,x3667,x3668,x3669,x3661),f764(x3663,x3664,x3665,x3666,x3667,x3668,x3669,x3662))
% 198.24/198.43 [367]~E(x3671,x3672)+E(f292(x3671,x3673),f292(x3672,x3673))
% 198.24/198.43 [368]~E(x3681,x3682)+E(f292(x3683,x3681),f292(x3683,x3682))
% 198.24/198.43 [369]~E(x3691,x3692)+E(f512(x3691,x3693,x3694,x3695),f512(x3692,x3693,x3694,x3695))
% 198.24/198.43 [370]~E(x3701,x3702)+E(f512(x3703,x3701,x3704,x3705),f512(x3703,x3702,x3704,x3705))
% 198.24/198.43 [371]~E(x3711,x3712)+E(f512(x3713,x3714,x3711,x3715),f512(x3713,x3714,x3712,x3715))
% 198.24/198.43 [372]~E(x3721,x3722)+E(f512(x3723,x3724,x3725,x3721),f512(x3723,x3724,x3725,x3722))
% 198.24/198.43 [373]~E(x3731,x3732)+E(f273(x3731,x3733,x3734,x3735,x3736),f273(x3732,x3733,x3734,x3735,x3736))
% 198.24/198.43 [374]~E(x3741,x3742)+E(f273(x3743,x3741,x3744,x3745,x3746),f273(x3743,x3742,x3744,x3745,x3746))
% 198.24/198.43 [375]~E(x3751,x3752)+E(f273(x3753,x3754,x3751,x3755,x3756),f273(x3753,x3754,x3752,x3755,x3756))
% 198.24/198.43 [376]~E(x3761,x3762)+E(f273(x3763,x3764,x3765,x3761,x3766),f273(x3763,x3764,x3765,x3762,x3766))
% 198.24/198.43 [377]~E(x3771,x3772)+E(f273(x3773,x3774,x3775,x3776,x3771),f273(x3773,x3774,x3775,x3776,x3772))
% 198.24/198.43 [378]~E(x3781,x3782)+E(f189(x3781,x3783,x3784),f189(x3782,x3783,x3784))
% 198.24/198.43 [379]~E(x3791,x3792)+E(f189(x3793,x3791,x3794),f189(x3793,x3792,x3794))
% 198.24/198.43 [380]~E(x3801,x3802)+E(f189(x3803,x3804,x3801),f189(x3803,x3804,x3802))
% 198.24/198.43 [381]~E(x3811,x3812)+E(f803(x3811,x3813),f803(x3812,x3813))
% 198.24/198.43 [382]~E(x3821,x3822)+E(f803(x3823,x3821),f803(x3823,x3822))
% 198.24/198.43 [383]~E(x3831,x3832)+E(f180(x3831,x3833,x3834),f180(x3832,x3833,x3834))
% 198.24/198.43 [384]~E(x3841,x3842)+E(f180(x3843,x3841,x3844),f180(x3843,x3842,x3844))
% 198.24/198.43 [385]~E(x3851,x3852)+E(f180(x3853,x3854,x3851),f180(x3853,x3854,x3852))
% 198.24/198.43 [386]~E(x3861,x3862)+E(f32(x3861,x3863),f32(x3862,x3863))
% 198.24/198.43 [387]~E(x3871,x3872)+E(f32(x3873,x3871),f32(x3873,x3872))
% 198.24/198.43 [388]~E(x3881,x3882)+E(f307(x3881,x3883),f307(x3882,x3883))
% 198.24/198.43 [389]~E(x3891,x3892)+E(f307(x3893,x3891),f307(x3893,x3892))
% 198.24/198.43 [390]~E(x3901,x3902)+E(f328(x3901,x3903),f328(x3902,x3903))
% 198.24/198.43 [391]~E(x3911,x3912)+E(f328(x3913,x3911),f328(x3913,x3912))
% 198.24/198.43 [392]~E(x3921,x3922)+E(f643(x3921,x3923,x3924,x3925),f643(x3922,x3923,x3924,x3925))
% 198.24/198.43 [393]~E(x3931,x3932)+E(f643(x3933,x3931,x3934,x3935),f643(x3933,x3932,x3934,x3935))
% 198.24/198.43 [394]~E(x3941,x3942)+E(f643(x3943,x3944,x3941,x3945),f643(x3943,x3944,x3942,x3945))
% 198.24/198.43 [395]~E(x3951,x3952)+E(f643(x3953,x3954,x3955,x3951),f643(x3953,x3954,x3955,x3952))
% 198.24/198.43 [396]~E(x3961,x3962)+E(f329(x3961,x3963),f329(x3962,x3963))
% 198.24/198.43 [397]~E(x3971,x3972)+E(f329(x3973,x3971),f329(x3973,x3972))
% 198.24/198.43 [398]~E(x3981,x3982)+E(f354(x3981,x3983,x3984),f354(x3982,x3983,x3984))
% 198.24/198.43 [399]~E(x3991,x3992)+E(f354(x3993,x3991,x3994),f354(x3993,x3992,x3994))
% 198.24/198.43 [400]~E(x4001,x4002)+E(f354(x4003,x4004,x4001),f354(x4003,x4004,x4002))
% 198.24/198.43 [401]~E(x4011,x4012)+E(f496(x4011,x4013,x4014,x4015,x4016),f496(x4012,x4013,x4014,x4015,x4016))
% 198.24/198.43 [402]~E(x4021,x4022)+E(f496(x4023,x4021,x4024,x4025,x4026),f496(x4023,x4022,x4024,x4025,x4026))
% 198.24/198.43 [403]~E(x4031,x4032)+E(f496(x4033,x4034,x4031,x4035,x4036),f496(x4033,x4034,x4032,x4035,x4036))
% 198.24/198.43 [404]~E(x4041,x4042)+E(f496(x4043,x4044,x4045,x4041,x4046),f496(x4043,x4044,x4045,x4042,x4046))
% 198.24/198.43 [405]~E(x4051,x4052)+E(f496(x4053,x4054,x4055,x4056,x4051),f496(x4053,x4054,x4055,x4056,x4052))
% 198.24/198.43 [406]~E(x4061,x4062)+E(f59(x4061),f59(x4062))
% 198.24/198.43 [407]~E(x4071,x4072)+E(f326(x4071,x4073),f326(x4072,x4073))
% 198.24/198.43 [408]~E(x4081,x4082)+E(f326(x4083,x4081),f326(x4083,x4082))
% 198.24/198.43 [409]~E(x4091,x4092)+E(f141(x4091,x4093),f141(x4092,x4093))
% 198.24/198.43 [410]~E(x4101,x4102)+E(f141(x4103,x4101),f141(x4103,x4102))
% 198.24/198.43 [411]~E(x4111,x4112)+E(f68(x4111,x4113,x4114),f68(x4112,x4113,x4114))
% 198.24/198.43 [412]~E(x4121,x4122)+E(f68(x4123,x4121,x4124),f68(x4123,x4122,x4124))
% 198.24/198.43 [413]~E(x4131,x4132)+E(f68(x4133,x4134,x4131),f68(x4133,x4134,x4132))
% 198.24/198.43 [414]~E(x4141,x4142)+E(f66(x4141,x4143,x4144),f66(x4142,x4143,x4144))
% 198.24/198.43 [415]~E(x4151,x4152)+E(f66(x4153,x4151,x4154),f66(x4153,x4152,x4154))
% 198.24/198.43 [416]~E(x4161,x4162)+E(f66(x4163,x4164,x4161),f66(x4163,x4164,x4162))
% 198.24/198.43 [417]~E(x4171,x4172)+E(f718(x4171,x4173,x4174,x4175),f718(x4172,x4173,x4174,x4175))
% 198.24/198.43 [418]~E(x4181,x4182)+E(f718(x4183,x4181,x4184,x4185),f718(x4183,x4182,x4184,x4185))
% 198.24/198.43 [419]~E(x4191,x4192)+E(f718(x4193,x4194,x4191,x4195),f718(x4193,x4194,x4192,x4195))
% 198.24/198.43 [420]~E(x4201,x4202)+E(f718(x4203,x4204,x4205,x4201),f718(x4203,x4204,x4205,x4202))
% 198.24/198.43 [421]~E(x4211,x4212)+E(f852(x4211,x4213,x4214),f852(x4212,x4213,x4214))
% 198.24/198.43 [422]~E(x4221,x4222)+E(f852(x4223,x4221,x4224),f852(x4223,x4222,x4224))
% 198.24/198.43 [423]~E(x4231,x4232)+E(f852(x4233,x4234,x4231),f852(x4233,x4234,x4232))
% 198.24/198.43 [424]~E(x4241,x4242)+E(f793(x4241,x4243,x4244),f793(x4242,x4243,x4244))
% 198.24/198.43 [425]~E(x4251,x4252)+E(f793(x4253,x4251,x4254),f793(x4253,x4252,x4254))
% 198.24/198.43 [426]~E(x4261,x4262)+E(f793(x4263,x4264,x4261),f793(x4263,x4264,x4262))
% 198.24/198.43 [427]~E(x4271,x4272)+E(f877(x4271,x4273,x4274,x4275),f877(x4272,x4273,x4274,x4275))
% 198.24/198.43 [428]~E(x4281,x4282)+E(f877(x4283,x4281,x4284,x4285),f877(x4283,x4282,x4284,x4285))
% 198.24/198.43 [429]~E(x4291,x4292)+E(f877(x4293,x4294,x4291,x4295),f877(x4293,x4294,x4292,x4295))
% 198.24/198.43 [430]~E(x4301,x4302)+E(f877(x4303,x4304,x4305,x4301),f877(x4303,x4304,x4305,x4302))
% 198.24/198.43 [431]~E(x4311,x4312)+E(f540(x4311,x4313,x4314,x4315,x4316,x4317),f540(x4312,x4313,x4314,x4315,x4316,x4317))
% 198.24/198.43 [432]~E(x4321,x4322)+E(f540(x4323,x4321,x4324,x4325,x4326,x4327),f540(x4323,x4322,x4324,x4325,x4326,x4327))
% 198.24/198.43 [433]~E(x4331,x4332)+E(f540(x4333,x4334,x4331,x4335,x4336,x4337),f540(x4333,x4334,x4332,x4335,x4336,x4337))
% 198.24/198.43 [434]~E(x4341,x4342)+E(f540(x4343,x4344,x4345,x4341,x4346,x4347),f540(x4343,x4344,x4345,x4342,x4346,x4347))
% 198.24/198.43 [435]~E(x4351,x4352)+E(f540(x4353,x4354,x4355,x4356,x4351,x4357),f540(x4353,x4354,x4355,x4356,x4352,x4357))
% 198.24/198.43 [436]~E(x4361,x4362)+E(f540(x4363,x4364,x4365,x4366,x4367,x4361),f540(x4363,x4364,x4365,x4366,x4367,x4362))
% 198.24/198.43 [437]~E(x4371,x4372)+E(f131(x4371,x4373),f131(x4372,x4373))
% 198.24/198.43 [438]~E(x4381,x4382)+E(f131(x4383,x4381),f131(x4383,x4382))
% 198.24/198.43 [439]~E(x4391,x4392)+E(f187(x4391,x4393,x4394),f187(x4392,x4393,x4394))
% 198.24/198.43 [440]~E(x4401,x4402)+E(f187(x4403,x4401,x4404),f187(x4403,x4402,x4404))
% 198.24/198.43 [441]~E(x4411,x4412)+E(f187(x4413,x4414,x4411),f187(x4413,x4414,x4412))
% 198.24/198.43 [442]~E(x4421,x4422)+E(f646(x4421,x4423,x4424,x4425,x4426,x4427),f646(x4422,x4423,x4424,x4425,x4426,x4427))
% 198.24/198.43 [443]~E(x4431,x4432)+E(f646(x4433,x4431,x4434,x4435,x4436,x4437),f646(x4433,x4432,x4434,x4435,x4436,x4437))
% 198.24/198.43 [444]~E(x4441,x4442)+E(f646(x4443,x4444,x4441,x4445,x4446,x4447),f646(x4443,x4444,x4442,x4445,x4446,x4447))
% 198.24/198.43 [445]~E(x4451,x4452)+E(f646(x4453,x4454,x4455,x4451,x4456,x4457),f646(x4453,x4454,x4455,x4452,x4456,x4457))
% 198.24/198.43 [446]~E(x4461,x4462)+E(f646(x4463,x4464,x4465,x4466,x4461,x4467),f646(x4463,x4464,x4465,x4466,x4462,x4467))
% 198.24/198.43 [447]~E(x4471,x4472)+E(f646(x4473,x4474,x4475,x4476,x4477,x4471),f646(x4473,x4474,x4475,x4476,x4477,x4472))
% 198.24/198.43 [448]~E(x4481,x4482)+E(f185(x4481,x4483),f185(x4482,x4483))
% 198.24/198.43 [449]~E(x4491,x4492)+E(f185(x4493,x4491),f185(x4493,x4492))
% 198.24/198.43 [450]~E(x4501,x4502)+E(f86(x4501,x4503),f86(x4502,x4503))
% 198.24/198.43 [451]~E(x4511,x4512)+E(f86(x4513,x4511),f86(x4513,x4512))
% 198.24/198.43 [452]~E(x4521,x4522)+E(f825(x4521,x4523,x4524),f825(x4522,x4523,x4524))
% 198.24/198.43 [453]~E(x4531,x4532)+E(f825(x4533,x4531,x4534),f825(x4533,x4532,x4534))
% 198.24/198.43 [454]~E(x4541,x4542)+E(f825(x4543,x4544,x4541),f825(x4543,x4544,x4542))
% 198.24/198.43 [455]~E(x4551,x4552)+E(f91(x4551,x4553),f91(x4552,x4553))
% 198.24/198.43 [456]~E(x4561,x4562)+E(f91(x4563,x4561),f91(x4563,x4562))
% 198.24/198.43 [457]~E(x4571,x4572)+E(f182(x4571,x4573),f182(x4572,x4573))
% 198.24/198.43 [458]~E(x4581,x4582)+E(f182(x4583,x4581),f182(x4583,x4582))
% 198.24/198.43 [459]~E(x4591,x4592)+E(f155(x4591,x4593),f155(x4592,x4593))
% 198.24/198.43 [460]~E(x4601,x4602)+E(f155(x4603,x4601),f155(x4603,x4602))
% 198.24/198.43 [461]~E(x4611,x4612)+E(f358(x4611,x4613,x4614,x4615),f358(x4612,x4613,x4614,x4615))
% 198.24/198.43 [462]~E(x4621,x4622)+E(f358(x4623,x4621,x4624,x4625),f358(x4623,x4622,x4624,x4625))
% 198.24/198.43 [463]~E(x4631,x4632)+E(f358(x4633,x4634,x4631,x4635),f358(x4633,x4634,x4632,x4635))
% 198.24/198.43 [464]~E(x4641,x4642)+E(f358(x4643,x4644,x4645,x4641),f358(x4643,x4644,x4645,x4642))
% 198.24/198.43 [465]~E(x4651,x4652)+E(f183(x4651,x4653),f183(x4652,x4653))
% 198.24/198.43 [466]~E(x4661,x4662)+E(f183(x4663,x4661),f183(x4663,x4662))
% 198.24/198.43 [467]~E(x4671,x4672)+E(f210(x4671),f210(x4672))
% 198.24/198.43 [468]~E(x4681,x4682)+E(f190(x4681,x4683,x4684,x4685,x4686),f190(x4682,x4683,x4684,x4685,x4686))
% 198.24/198.43 [469]~E(x4691,x4692)+E(f190(x4693,x4691,x4694,x4695,x4696),f190(x4693,x4692,x4694,x4695,x4696))
% 198.24/198.43 [470]~E(x4701,x4702)+E(f190(x4703,x4704,x4701,x4705,x4706),f190(x4703,x4704,x4702,x4705,x4706))
% 198.24/198.43 [471]~E(x4711,x4712)+E(f190(x4713,x4714,x4715,x4711,x4716),f190(x4713,x4714,x4715,x4712,x4716))
% 198.24/198.43 [472]~E(x4721,x4722)+E(f190(x4723,x4724,x4725,x4726,x4721),f190(x4723,x4724,x4725,x4726,x4722))
% 198.24/198.43 [473]~E(x4731,x4732)+E(f291(x4731,x4733,x4734),f291(x4732,x4733,x4734))
% 198.24/198.43 [474]~E(x4741,x4742)+E(f291(x4743,x4741,x4744),f291(x4743,x4742,x4744))
% 198.24/198.43 [475]~E(x4751,x4752)+E(f291(x4753,x4754,x4751),f291(x4753,x4754,x4752))
% 198.24/198.43 [476]~E(x4761,x4762)+E(f179(x4761,x4763,x4764),f179(x4762,x4763,x4764))
% 198.24/198.43 [477]~E(x4771,x4772)+E(f179(x4773,x4771,x4774),f179(x4773,x4772,x4774))
% 198.24/198.43 [478]~E(x4781,x4782)+E(f179(x4783,x4784,x4781),f179(x4783,x4784,x4782))
% 198.24/198.43 [479]~E(x4791,x4792)+E(f56(x4791),f56(x4792))
% 198.24/198.43 [480]~E(x4801,x4802)+E(f314(x4801),f314(x4802))
% 198.24/198.43 [481]~E(x4811,x4812)+E(f860(x4811,x4813,x4814,x4815,x4816),f860(x4812,x4813,x4814,x4815,x4816))
% 198.24/198.43 [482]~E(x4821,x4822)+E(f860(x4823,x4821,x4824,x4825,x4826),f860(x4823,x4822,x4824,x4825,x4826))
% 198.24/198.43 [483]~E(x4831,x4832)+E(f860(x4833,x4834,x4831,x4835,x4836),f860(x4833,x4834,x4832,x4835,x4836))
% 198.24/198.43 [484]~E(x4841,x4842)+E(f860(x4843,x4844,x4845,x4841,x4846),f860(x4843,x4844,x4845,x4842,x4846))
% 198.24/198.43 [485]~E(x4851,x4852)+E(f860(x4853,x4854,x4855,x4856,x4851),f860(x4853,x4854,x4855,x4856,x4852))
% 198.24/198.43 [486]~E(x4861,x4862)+E(f757(x4861,x4863,x4864,x4865,x4866),f757(x4862,x4863,x4864,x4865,x4866))
% 198.24/198.43 [487]~E(x4871,x4872)+E(f757(x4873,x4871,x4874,x4875,x4876),f757(x4873,x4872,x4874,x4875,x4876))
% 198.24/198.43 [488]~E(x4881,x4882)+E(f757(x4883,x4884,x4881,x4885,x4886),f757(x4883,x4884,x4882,x4885,x4886))
% 198.24/198.43 [489]~E(x4891,x4892)+E(f757(x4893,x4894,x4895,x4891,x4896),f757(x4893,x4894,x4895,x4892,x4896))
% 198.24/198.43 [490]~E(x4901,x4902)+E(f757(x4903,x4904,x4905,x4906,x4901),f757(x4903,x4904,x4905,x4906,x4902))
% 198.24/198.43 [491]~E(x4911,x4912)+E(f48(x4911,x4913),f48(x4912,x4913))
% 198.24/198.43 [492]~E(x4921,x4922)+E(f48(x4923,x4921),f48(x4923,x4922))
% 198.24/198.43 [493]~E(x4931,x4932)+E(f11(x4931,x4933,x4934),f11(x4932,x4933,x4934))
% 198.24/198.43 [494]~E(x4941,x4942)+E(f11(x4943,x4941,x4944),f11(x4943,x4942,x4944))
% 198.24/198.43 [495]~E(x4951,x4952)+E(f11(x4953,x4954,x4951),f11(x4953,x4954,x4952))
% 198.24/198.43 [496]~E(x4961,x4962)+E(f122(x4961),f122(x4962))
% 198.24/198.43 [497]~E(x4971,x4972)+E(f575(x4971,x4973,x4974,x4975,x4976,x4977),f575(x4972,x4973,x4974,x4975,x4976,x4977))
% 198.24/198.43 [498]~E(x4981,x4982)+E(f575(x4983,x4981,x4984,x4985,x4986,x4987),f575(x4983,x4982,x4984,x4985,x4986,x4987))
% 198.24/198.43 [499]~E(x4991,x4992)+E(f575(x4993,x4994,x4991,x4995,x4996,x4997),f575(x4993,x4994,x4992,x4995,x4996,x4997))
% 198.24/198.43 [500]~E(x5001,x5002)+E(f575(x5003,x5004,x5005,x5001,x5006,x5007),f575(x5003,x5004,x5005,x5002,x5006,x5007))
% 198.24/198.43 [501]~E(x5011,x5012)+E(f575(x5013,x5014,x5015,x5016,x5011,x5017),f575(x5013,x5014,x5015,x5016,x5012,x5017))
% 198.24/198.43 [502]~E(x5021,x5022)+E(f575(x5023,x5024,x5025,x5026,x5027,x5021),f575(x5023,x5024,x5025,x5026,x5027,x5022))
% 198.24/198.43 [503]~E(x5031,x5032)+E(f788(x5031,x5033,x5034),f788(x5032,x5033,x5034))
% 198.24/198.43 [504]~E(x5041,x5042)+E(f788(x5043,x5041,x5044),f788(x5043,x5042,x5044))
% 198.24/198.43 [505]~E(x5051,x5052)+E(f788(x5053,x5054,x5051),f788(x5053,x5054,x5052))
% 198.24/198.43 [506]~E(x5061,x5062)+E(f527(x5061,x5063,x5064),f527(x5062,x5063,x5064))
% 198.24/198.43 [507]~E(x5071,x5072)+E(f527(x5073,x5071,x5074),f527(x5073,x5072,x5074))
% 198.24/198.43 [508]~E(x5081,x5082)+E(f527(x5083,x5084,x5081),f527(x5083,x5084,x5082))
% 198.24/198.43 [509]~E(x5091,x5092)+E(f367(x5091,x5093),f367(x5092,x5093))
% 198.24/198.43 [510]~E(x5101,x5102)+E(f367(x5103,x5101),f367(x5103,x5102))
% 198.24/198.43 [511]~E(x5111,x5112)+E(f658(x5111,x5113,x5114,x5115),f658(x5112,x5113,x5114,x5115))
% 198.24/198.43 [512]~E(x5121,x5122)+E(f658(x5123,x5121,x5124,x5125),f658(x5123,x5122,x5124,x5125))
% 198.24/198.43 [513]~E(x5131,x5132)+E(f658(x5133,x5134,x5131,x5135),f658(x5133,x5134,x5132,x5135))
% 198.24/198.43 [514]~E(x5141,x5142)+E(f658(x5143,x5144,x5145,x5141),f658(x5143,x5144,x5145,x5142))
% 198.24/198.43 [515]~E(x5151,x5152)+E(f161(x5151,x5153),f161(x5152,x5153))
% 198.24/198.43 [516]~E(x5161,x5162)+E(f161(x5163,x5161),f161(x5163,x5162))
% 198.24/198.43 [517]~E(x5171,x5172)+E(f694(x5171,x5173,x5174,x5175),f694(x5172,x5173,x5174,x5175))
% 198.24/198.43 [518]~E(x5181,x5182)+E(f694(x5183,x5181,x5184,x5185),f694(x5183,x5182,x5184,x5185))
% 198.24/198.43 [519]~E(x5191,x5192)+E(f694(x5193,x5194,x5191,x5195),f694(x5193,x5194,x5192,x5195))
% 198.24/198.43 [520]~E(x5201,x5202)+E(f694(x5203,x5204,x5205,x5201),f694(x5203,x5204,x5205,x5202))
% 198.24/198.43 [521]~E(x5211,x5212)+E(f432(x5211,x5213,x5214),f432(x5212,x5213,x5214))
% 198.24/198.43 [522]~E(x5221,x5222)+E(f432(x5223,x5221,x5224),f432(x5223,x5222,x5224))
% 198.24/198.43 [523]~E(x5231,x5232)+E(f432(x5233,x5234,x5231),f432(x5233,x5234,x5232))
% 198.24/198.43 [524]~E(x5241,x5242)+E(f268(x5241,x5243),f268(x5242,x5243))
% 198.24/198.43 [525]~E(x5251,x5252)+E(f268(x5253,x5251),f268(x5253,x5252))
% 198.24/198.43 [526]~E(x5261,x5262)+E(f563(x5261,x5263,x5264),f563(x5262,x5263,x5264))
% 198.24/198.43 [527]~E(x5271,x5272)+E(f563(x5273,x5271,x5274),f563(x5273,x5272,x5274))
% 198.24/198.43 [528]~E(x5281,x5282)+E(f563(x5283,x5284,x5281),f563(x5283,x5284,x5282))
% 198.24/198.43 [529]~E(x5291,x5292)+E(f574(x5291,x5293,x5294,x5295,x5296,x5297),f574(x5292,x5293,x5294,x5295,x5296,x5297))
% 198.24/198.43 [530]~E(x5301,x5302)+E(f574(x5303,x5301,x5304,x5305,x5306,x5307),f574(x5303,x5302,x5304,x5305,x5306,x5307))
% 198.24/198.43 [531]~E(x5311,x5312)+E(f574(x5313,x5314,x5311,x5315,x5316,x5317),f574(x5313,x5314,x5312,x5315,x5316,x5317))
% 198.24/198.43 [532]~E(x5321,x5322)+E(f574(x5323,x5324,x5325,x5321,x5326,x5327),f574(x5323,x5324,x5325,x5322,x5326,x5327))
% 198.24/198.43 [533]~E(x5331,x5332)+E(f574(x5333,x5334,x5335,x5336,x5331,x5337),f574(x5333,x5334,x5335,x5336,x5332,x5337))
% 198.24/198.43 [534]~E(x5341,x5342)+E(f574(x5343,x5344,x5345,x5346,x5347,x5341),f574(x5343,x5344,x5345,x5346,x5347,x5342))
% 198.24/198.43 [535]~E(x5351,x5352)+E(f30(x5351,x5353,x5354),f30(x5352,x5353,x5354))
% 198.24/198.43 [536]~E(x5361,x5362)+E(f30(x5363,x5361,x5364),f30(x5363,x5362,x5364))
% 198.24/198.43 [537]~E(x5371,x5372)+E(f30(x5373,x5374,x5371),f30(x5373,x5374,x5372))
% 198.24/198.43 [538]~E(x5381,x5382)+E(f58(x5381),f58(x5382))
% 198.24/198.43 [539]~E(x5391,x5392)+E(f39(x5391),f39(x5392))
% 198.24/198.43 [540]~E(x5401,x5402)+E(f355(x5401,x5403,x5404),f355(x5402,x5403,x5404))
% 198.24/198.43 [541]~E(x5411,x5412)+E(f355(x5413,x5411,x5414),f355(x5413,x5412,x5414))
% 198.24/198.43 [542]~E(x5421,x5422)+E(f355(x5423,x5424,x5421),f355(x5423,x5424,x5422))
% 198.24/198.43 [543]~E(x5431,x5432)+E(f635(x5431,x5433,x5434),f635(x5432,x5433,x5434))
% 198.24/198.43 [544]~E(x5441,x5442)+E(f635(x5443,x5441,x5444),f635(x5443,x5442,x5444))
% 198.24/198.43 [545]~E(x5451,x5452)+E(f635(x5453,x5454,x5451),f635(x5453,x5454,x5452))
% 198.24/198.43 [546]~E(x5461,x5462)+E(f12(x5461,x5463,x5464),f12(x5462,x5463,x5464))
% 198.24/198.43 [547]~E(x5471,x5472)+E(f12(x5473,x5471,x5474),f12(x5473,x5472,x5474))
% 198.24/198.43 [548]~E(x5481,x5482)+E(f12(x5483,x5484,x5481),f12(x5483,x5484,x5482))
% 198.24/198.43 [549]~E(x5491,x5492)+E(f672(x5491,x5493,x5494),f672(x5492,x5493,x5494))
% 198.24/198.43 [550]~E(x5501,x5502)+E(f672(x5503,x5501,x5504),f672(x5503,x5502,x5504))
% 198.24/198.43 [551]~E(x5511,x5512)+E(f672(x5513,x5514,x5511),f672(x5513,x5514,x5512))
% 198.24/198.43 [552]~E(x5521,x5522)+E(f461(x5521,x5523,x5524,x5525,x5526),f461(x5522,x5523,x5524,x5525,x5526))
% 198.24/198.43 [553]~E(x5531,x5532)+E(f461(x5533,x5531,x5534,x5535,x5536),f461(x5533,x5532,x5534,x5535,x5536))
% 198.24/198.43 [554]~E(x5541,x5542)+E(f461(x5543,x5544,x5541,x5545,x5546),f461(x5543,x5544,x5542,x5545,x5546))
% 198.24/198.43 [555]~E(x5551,x5552)+E(f461(x5553,x5554,x5555,x5551,x5556),f461(x5553,x5554,x5555,x5552,x5556))
% 198.24/198.43 [556]~E(x5561,x5562)+E(f461(x5563,x5564,x5565,x5566,x5561),f461(x5563,x5564,x5565,x5566,x5562))
% 198.24/198.43 [557]~E(x5571,x5572)+E(f570(x5571,x5573,x5574),f570(x5572,x5573,x5574))
% 198.24/198.43 [558]~E(x5581,x5582)+E(f570(x5583,x5581,x5584),f570(x5583,x5582,x5584))
% 198.24/198.43 [559]~E(x5591,x5592)+E(f570(x5593,x5594,x5591),f570(x5593,x5594,x5592))
% 198.24/198.43 [560]~E(x5601,x5602)+E(f199(x5601,x5603,x5604,x5605),f199(x5602,x5603,x5604,x5605))
% 198.24/198.43 [561]~E(x5611,x5612)+E(f199(x5613,x5611,x5614,x5615),f199(x5613,x5612,x5614,x5615))
% 198.24/198.43 [562]~E(x5621,x5622)+E(f199(x5623,x5624,x5621,x5625),f199(x5623,x5624,x5622,x5625))
% 198.24/198.43 [563]~E(x5631,x5632)+E(f199(x5633,x5634,x5635,x5631),f199(x5633,x5634,x5635,x5632))
% 198.24/198.43 [564]~E(x5641,x5642)+E(f312(x5641),f312(x5642))
% 198.24/198.43 [565]~E(x5651,x5652)+E(f606(x5651,x5653,x5654),f606(x5652,x5653,x5654))
% 198.24/198.43 [566]~E(x5661,x5662)+E(f606(x5663,x5661,x5664),f606(x5663,x5662,x5664))
% 198.24/198.43 [567]~E(x5671,x5672)+E(f606(x5673,x5674,x5671),f606(x5673,x5674,x5672))
% 198.24/198.43 [568]~E(x5681,x5682)+E(f163(x5681,x5683),f163(x5682,x5683))
% 198.24/198.43 [569]~E(x5691,x5692)+E(f163(x5693,x5691),f163(x5693,x5692))
% 198.24/198.43 [570]~E(x5701,x5702)+E(f791(x5701,x5703,x5704),f791(x5702,x5703,x5704))
% 198.24/198.43 [571]~E(x5711,x5712)+E(f791(x5713,x5711,x5714),f791(x5713,x5712,x5714))
% 198.24/198.43 [572]~E(x5721,x5722)+E(f791(x5723,x5724,x5721),f791(x5723,x5724,x5722))
% 198.24/198.43 [573]~E(x5731,x5732)+E(f173(x5731,x5733,x5734),f173(x5732,x5733,x5734))
% 198.24/198.43 [574]~E(x5741,x5742)+E(f173(x5743,x5741,x5744),f173(x5743,x5742,x5744))
% 198.24/198.43 [575]~E(x5751,x5752)+E(f173(x5753,x5754,x5751),f173(x5753,x5754,x5752))
% 198.24/198.43 [576]~E(x5761,x5762)+E(f545(x5761,x5763,x5764,x5765,x5766,x5767,x5768,x5769),f545(x5762,x5763,x5764,x5765,x5766,x5767,x5768,x5769))
% 198.24/198.43 [577]~E(x5771,x5772)+E(f545(x5773,x5771,x5774,x5775,x5776,x5777,x5778,x5779),f545(x5773,x5772,x5774,x5775,x5776,x5777,x5778,x5779))
% 198.24/198.43 [578]~E(x5781,x5782)+E(f545(x5783,x5784,x5781,x5785,x5786,x5787,x5788,x5789),f545(x5783,x5784,x5782,x5785,x5786,x5787,x5788,x5789))
% 198.24/198.43 [579]~E(x5791,x5792)+E(f545(x5793,x5794,x5795,x5791,x5796,x5797,x5798,x5799),f545(x5793,x5794,x5795,x5792,x5796,x5797,x5798,x5799))
% 198.24/198.43 [580]~E(x5801,x5802)+E(f545(x5803,x5804,x5805,x5806,x5801,x5807,x5808,x5809),f545(x5803,x5804,x5805,x5806,x5802,x5807,x5808,x5809))
% 198.24/198.43 [581]~E(x5811,x5812)+E(f545(x5813,x5814,x5815,x5816,x5817,x5811,x5818,x5819),f545(x5813,x5814,x5815,x5816,x5817,x5812,x5818,x5819))
% 198.24/198.43 [582]~E(x5821,x5822)+E(f545(x5823,x5824,x5825,x5826,x5827,x5828,x5821,x5829),f545(x5823,x5824,x5825,x5826,x5827,x5828,x5822,x5829))
% 198.24/198.43 [583]~E(x5831,x5832)+E(f545(x5833,x5834,x5835,x5836,x5837,x5838,x5839,x5831),f545(x5833,x5834,x5835,x5836,x5837,x5838,x5839,x5832))
% 198.24/198.43 [584]~E(x5841,x5842)+E(f630(x5841,x5843,x5844,x5845,x5846,x5847,x5848),f630(x5842,x5843,x5844,x5845,x5846,x5847,x5848))
% 198.24/198.43 [585]~E(x5851,x5852)+E(f630(x5853,x5851,x5854,x5855,x5856,x5857,x5858),f630(x5853,x5852,x5854,x5855,x5856,x5857,x5858))
% 198.24/198.43 [586]~E(x5861,x5862)+E(f630(x5863,x5864,x5861,x5865,x5866,x5867,x5868),f630(x5863,x5864,x5862,x5865,x5866,x5867,x5868))
% 198.24/198.43 [587]~E(x5871,x5872)+E(f630(x5873,x5874,x5875,x5871,x5876,x5877,x5878),f630(x5873,x5874,x5875,x5872,x5876,x5877,x5878))
% 198.24/198.43 [588]~E(x5881,x5882)+E(f630(x5883,x5884,x5885,x5886,x5881,x5887,x5888),f630(x5883,x5884,x5885,x5886,x5882,x5887,x5888))
% 198.24/198.43 [589]~E(x5891,x5892)+E(f630(x5893,x5894,x5895,x5896,x5897,x5891,x5898),f630(x5893,x5894,x5895,x5896,x5897,x5892,x5898))
% 198.24/198.43 [590]~E(x5901,x5902)+E(f630(x5903,x5904,x5905,x5906,x5907,x5908,x5901),f630(x5903,x5904,x5905,x5906,x5907,x5908,x5902))
% 198.24/198.43 [591]~E(x5911,x5912)+E(f258(x5911),f258(x5912))
% 198.24/198.43 [592]~E(x5921,x5922)+E(f789(x5921,x5923,x5924,x5925),f789(x5922,x5923,x5924,x5925))
% 198.24/198.43 [593]~E(x5931,x5932)+E(f789(x5933,x5931,x5934,x5935),f789(x5933,x5932,x5934,x5935))
% 198.24/198.43 [594]~E(x5941,x5942)+E(f789(x5943,x5944,x5941,x5945),f789(x5943,x5944,x5942,x5945))
% 198.24/198.43 [595]~E(x5951,x5952)+E(f789(x5953,x5954,x5955,x5951),f789(x5953,x5954,x5955,x5952))
% 198.24/198.43 [596]~E(x5961,x5962)+E(f790(x5961,x5963,x5964,x5965,x5966),f790(x5962,x5963,x5964,x5965,x5966))
% 198.24/198.43 [597]~E(x5971,x5972)+E(f790(x5973,x5971,x5974,x5975,x5976),f790(x5973,x5972,x5974,x5975,x5976))
% 198.24/198.43 [598]~E(x5981,x5982)+E(f790(x5983,x5984,x5981,x5985,x5986),f790(x5983,x5984,x5982,x5985,x5986))
% 198.24/198.43 [599]~E(x5991,x5992)+E(f790(x5993,x5994,x5995,x5991,x5996),f790(x5993,x5994,x5995,x5992,x5996))
% 198.24/198.43 [600]~E(x6001,x6002)+E(f790(x6003,x6004,x6005,x6006,x6001),f790(x6003,x6004,x6005,x6006,x6002))
% 198.24/198.43 [601]~E(x6011,x6012)+E(f50(x6011,x6013),f50(x6012,x6013))
% 198.24/198.43 [602]~E(x6021,x6022)+E(f50(x6023,x6021),f50(x6023,x6022))
% 198.24/198.43 [603]~E(x6031,x6032)+E(f855(x6031,x6033,x6034,x6035),f855(x6032,x6033,x6034,x6035))
% 198.24/198.43 [604]~E(x6041,x6042)+E(f855(x6043,x6041,x6044,x6045),f855(x6043,x6042,x6044,x6045))
% 198.24/198.43 [605]~E(x6051,x6052)+E(f855(x6053,x6054,x6051,x6055),f855(x6053,x6054,x6052,x6055))
% 198.24/198.43 [606]~E(x6061,x6062)+E(f855(x6063,x6064,x6065,x6061),f855(x6063,x6064,x6065,x6062))
% 198.24/198.43 [607]~E(x6071,x6072)+E(f325(x6071,x6073),f325(x6072,x6073))
% 198.24/198.43 [608]~E(x6081,x6082)+E(f325(x6083,x6081),f325(x6083,x6082))
% 198.24/198.43 [609]~E(x6091,x6092)+E(f580(x6091,x6093,x6094,x6095,x6096,x6097),f580(x6092,x6093,x6094,x6095,x6096,x6097))
% 198.24/198.43 [610]~E(x6101,x6102)+E(f580(x6103,x6101,x6104,x6105,x6106,x6107),f580(x6103,x6102,x6104,x6105,x6106,x6107))
% 198.24/198.43 [611]~E(x6111,x6112)+E(f580(x6113,x6114,x6111,x6115,x6116,x6117),f580(x6113,x6114,x6112,x6115,x6116,x6117))
% 198.24/198.43 [612]~E(x6121,x6122)+E(f580(x6123,x6124,x6125,x6121,x6126,x6127),f580(x6123,x6124,x6125,x6122,x6126,x6127))
% 198.24/198.43 [613]~E(x6131,x6132)+E(f580(x6133,x6134,x6135,x6136,x6131,x6137),f580(x6133,x6134,x6135,x6136,x6132,x6137))
% 198.24/198.43 [614]~E(x6141,x6142)+E(f580(x6143,x6144,x6145,x6146,x6147,x6141),f580(x6143,x6144,x6145,x6146,x6147,x6142))
% 198.24/198.43 [615]~E(x6151,x6152)+E(f869(x6151,x6153,x6154),f869(x6152,x6153,x6154))
% 198.24/198.43 [616]~E(x6161,x6162)+E(f869(x6163,x6161,x6164),f869(x6163,x6162,x6164))
% 198.24/198.43 [617]~E(x6171,x6172)+E(f869(x6173,x6174,x6171),f869(x6173,x6174,x6172))
% 198.24/198.43 [618]~E(x6181,x6182)+E(f792(x6181,x6183,x6184),f792(x6182,x6183,x6184))
% 198.24/198.43 [619]~E(x6191,x6192)+E(f792(x6193,x6191,x6194),f792(x6193,x6192,x6194))
% 198.24/198.43 [620]~E(x6201,x6202)+E(f792(x6203,x6204,x6201),f792(x6203,x6204,x6202))
% 198.24/198.43 [621]~E(x6211,x6212)+E(f168(x6211),f168(x6212))
% 198.24/198.43 [622]~E(x6221,x6222)+E(f169(x6221,x6223,x6224),f169(x6222,x6223,x6224))
% 198.24/198.43 [623]~E(x6231,x6232)+E(f169(x6233,x6231,x6234),f169(x6233,x6232,x6234))
% 198.24/198.43 [624]~E(x6241,x6242)+E(f169(x6243,x6244,x6241),f169(x6243,x6244,x6242))
% 198.24/198.43 [625]~E(x6251,x6252)+E(f188(x6251,x6253,x6254,x6255),f188(x6252,x6253,x6254,x6255))
% 198.24/198.43 [626]~E(x6261,x6262)+E(f188(x6263,x6261,x6264,x6265),f188(x6263,x6262,x6264,x6265))
% 198.24/198.43 [627]~E(x6271,x6272)+E(f188(x6273,x6274,x6271,x6275),f188(x6273,x6274,x6272,x6275))
% 198.24/198.43 [628]~E(x6281,x6282)+E(f188(x6283,x6284,x6285,x6281),f188(x6283,x6284,x6285,x6282))
% 198.24/198.43 [629]~E(x6291,x6292)+E(f678(x6291,x6293,x6294,x6295,x6296),f678(x6292,x6293,x6294,x6295,x6296))
% 198.24/198.43 [630]~E(x6301,x6302)+E(f678(x6303,x6301,x6304,x6305,x6306),f678(x6303,x6302,x6304,x6305,x6306))
% 198.24/198.43 [631]~E(x6311,x6312)+E(f678(x6313,x6314,x6311,x6315,x6316),f678(x6313,x6314,x6312,x6315,x6316))
% 198.24/198.43 [632]~E(x6321,x6322)+E(f678(x6323,x6324,x6325,x6321,x6326),f678(x6323,x6324,x6325,x6322,x6326))
% 198.24/198.43 [633]~E(x6331,x6332)+E(f678(x6333,x6334,x6335,x6336,x6331),f678(x6333,x6334,x6335,x6336,x6332))
% 198.24/198.43 [634]~E(x6341,x6342)+E(f99(x6341),f99(x6342))
% 198.24/198.43 [635]~E(x6351,x6352)+E(f769(x6351,x6353,x6354),f769(x6352,x6353,x6354))
% 198.24/198.43 [636]~E(x6361,x6362)+E(f769(x6363,x6361,x6364),f769(x6363,x6362,x6364))
% 198.24/198.43 [637]~E(x6371,x6372)+E(f769(x6373,x6374,x6371),f769(x6373,x6374,x6372))
% 198.24/198.43 [638]~E(x6381,x6382)+E(f607(x6381,x6383,x6384),f607(x6382,x6383,x6384))
% 198.24/198.43 [639]~E(x6391,x6392)+E(f607(x6393,x6391,x6394),f607(x6393,x6392,x6394))
% 198.24/198.43 [640]~E(x6401,x6402)+E(f607(x6403,x6404,x6401),f607(x6403,x6404,x6402))
% 198.24/198.43 [641]~E(x6411,x6412)+E(f612(x6411,x6413,x6414,x6415,x6416),f612(x6412,x6413,x6414,x6415,x6416))
% 198.24/198.43 [642]~E(x6421,x6422)+E(f612(x6423,x6421,x6424,x6425,x6426),f612(x6423,x6422,x6424,x6425,x6426))
% 198.24/198.43 [643]~E(x6431,x6432)+E(f612(x6433,x6434,x6431,x6435,x6436),f612(x6433,x6434,x6432,x6435,x6436))
% 198.24/198.43 [644]~E(x6441,x6442)+E(f612(x6443,x6444,x6445,x6441,x6446),f612(x6443,x6444,x6445,x6442,x6446))
% 198.24/198.43 [645]~E(x6451,x6452)+E(f612(x6453,x6454,x6455,x6456,x6451),f612(x6453,x6454,x6455,x6456,x6452))
% 198.24/198.43 [646]~E(x6461,x6462)+E(f221(x6461,x6463,x6464,x6465,x6466,x6467,x6468),f221(x6462,x6463,x6464,x6465,x6466,x6467,x6468))
% 198.24/198.43 [647]~E(x6471,x6472)+E(f221(x6473,x6471,x6474,x6475,x6476,x6477,x6478),f221(x6473,x6472,x6474,x6475,x6476,x6477,x6478))
% 198.24/198.43 [648]~E(x6481,x6482)+E(f221(x6483,x6484,x6481,x6485,x6486,x6487,x6488),f221(x6483,x6484,x6482,x6485,x6486,x6487,x6488))
% 198.24/198.43 [649]~E(x6491,x6492)+E(f221(x6493,x6494,x6495,x6491,x6496,x6497,x6498),f221(x6493,x6494,x6495,x6492,x6496,x6497,x6498))
% 198.24/198.43 [650]~E(x6501,x6502)+E(f221(x6503,x6504,x6505,x6506,x6501,x6507,x6508),f221(x6503,x6504,x6505,x6506,x6502,x6507,x6508))
% 198.24/198.43 [651]~E(x6511,x6512)+E(f221(x6513,x6514,x6515,x6516,x6517,x6511,x6518),f221(x6513,x6514,x6515,x6516,x6517,x6512,x6518))
% 198.24/198.43 [652]~E(x6521,x6522)+E(f221(x6523,x6524,x6525,x6526,x6527,x6528,x6521),f221(x6523,x6524,x6525,x6526,x6527,x6528,x6522))
% 198.24/198.43 [653]~E(x6531,x6532)+E(f121(x6531,x6533,x6534),f121(x6532,x6533,x6534))
% 198.24/198.43 [654]~E(x6541,x6542)+E(f121(x6543,x6541,x6544),f121(x6543,x6542,x6544))
% 198.24/198.43 [655]~E(x6551,x6552)+E(f121(x6553,x6554,x6551),f121(x6553,x6554,x6552))
% 198.24/198.43 [656]~E(x6561,x6562)+E(f469(x6561,x6563,x6564,x6565),f469(x6562,x6563,x6564,x6565))
% 198.24/198.43 [657]~E(x6571,x6572)+E(f469(x6573,x6571,x6574,x6575),f469(x6573,x6572,x6574,x6575))
% 198.24/198.43 [658]~E(x6581,x6582)+E(f469(x6583,x6584,x6581,x6585),f469(x6583,x6584,x6582,x6585))
% 198.24/198.43 [659]~E(x6591,x6592)+E(f469(x6593,x6594,x6595,x6591),f469(x6593,x6594,x6595,x6592))
% 198.24/198.43 [660]~E(x6601,x6602)+E(f244(x6601,x6603),f244(x6602,x6603))
% 198.24/198.43 [661]~E(x6611,x6612)+E(f244(x6613,x6611),f244(x6613,x6612))
% 198.24/198.43 [662]~E(x6621,x6622)+E(f282(x6621),f282(x6622))
% 198.24/198.43 [663]~E(x6631,x6632)+E(f728(x6631,x6633,x6634),f728(x6632,x6633,x6634))
% 198.24/198.43 [664]~E(x6641,x6642)+E(f728(x6643,x6641,x6644),f728(x6643,x6642,x6644))
% 198.24/198.43 [665]~E(x6651,x6652)+E(f728(x6653,x6654,x6651),f728(x6653,x6654,x6652))
% 198.24/198.43 [666]~E(x6661,x6662)+E(f576(x6661,x6663,x6664,x6665,x6666,x6667,x6668,x6669),f576(x6662,x6663,x6664,x6665,x6666,x6667,x6668,x6669))
% 198.24/198.43 [667]~E(x6671,x6672)+E(f576(x6673,x6671,x6674,x6675,x6676,x6677,x6678,x6679),f576(x6673,x6672,x6674,x6675,x6676,x6677,x6678,x6679))
% 198.24/198.43 [668]~E(x6681,x6682)+E(f576(x6683,x6684,x6681,x6685,x6686,x6687,x6688,x6689),f576(x6683,x6684,x6682,x6685,x6686,x6687,x6688,x6689))
% 198.24/198.43 [669]~E(x6691,x6692)+E(f576(x6693,x6694,x6695,x6691,x6696,x6697,x6698,x6699),f576(x6693,x6694,x6695,x6692,x6696,x6697,x6698,x6699))
% 198.24/198.43 [670]~E(x6701,x6702)+E(f576(x6703,x6704,x6705,x6706,x6701,x6707,x6708,x6709),f576(x6703,x6704,x6705,x6706,x6702,x6707,x6708,x6709))
% 198.24/198.43 [671]~E(x6711,x6712)+E(f576(x6713,x6714,x6715,x6716,x6717,x6711,x6718,x6719),f576(x6713,x6714,x6715,x6716,x6717,x6712,x6718,x6719))
% 198.24/198.43 [672]~E(x6721,x6722)+E(f576(x6723,x6724,x6725,x6726,x6727,x6728,x6721,x6729),f576(x6723,x6724,x6725,x6726,x6727,x6728,x6722,x6729))
% 198.24/198.43 [673]~E(x6731,x6732)+E(f576(x6733,x6734,x6735,x6736,x6737,x6738,x6739,x6731),f576(x6733,x6734,x6735,x6736,x6737,x6738,x6739,x6732))
% 198.24/198.43 [674]~E(x6741,x6742)+E(f572(x6741,x6743,x6744,x6745,x6746,x6747),f572(x6742,x6743,x6744,x6745,x6746,x6747))
% 198.24/198.43 [675]~E(x6751,x6752)+E(f572(x6753,x6751,x6754,x6755,x6756,x6757),f572(x6753,x6752,x6754,x6755,x6756,x6757))
% 198.24/198.43 [676]~E(x6761,x6762)+E(f572(x6763,x6764,x6761,x6765,x6766,x6767),f572(x6763,x6764,x6762,x6765,x6766,x6767))
% 198.24/198.43 [677]~E(x6771,x6772)+E(f572(x6773,x6774,x6775,x6771,x6776,x6777),f572(x6773,x6774,x6775,x6772,x6776,x6777))
% 198.24/198.43 [678]~E(x6781,x6782)+E(f572(x6783,x6784,x6785,x6786,x6781,x6787),f572(x6783,x6784,x6785,x6786,x6782,x6787))
% 198.24/198.43 [679]~E(x6791,x6792)+E(f572(x6793,x6794,x6795,x6796,x6797,x6791),f572(x6793,x6794,x6795,x6796,x6797,x6792))
% 198.24/198.43 [680]~E(x6801,x6802)+E(f571(x6801,x6803,x6804,x6805,x6806,x6807),f571(x6802,x6803,x6804,x6805,x6806,x6807))
% 198.24/198.43 [681]~E(x6811,x6812)+E(f571(x6813,x6811,x6814,x6815,x6816,x6817),f571(x6813,x6812,x6814,x6815,x6816,x6817))
% 198.24/198.43 [682]~E(x6821,x6822)+E(f571(x6823,x6824,x6821,x6825,x6826,x6827),f571(x6823,x6824,x6822,x6825,x6826,x6827))
% 198.24/198.43 [683]~E(x6831,x6832)+E(f571(x6833,x6834,x6835,x6831,x6836,x6837),f571(x6833,x6834,x6835,x6832,x6836,x6837))
% 198.24/198.43 [684]~E(x6841,x6842)+E(f571(x6843,x6844,x6845,x6846,x6841,x6847),f571(x6843,x6844,x6845,x6846,x6842,x6847))
% 198.24/198.43 [685]~E(x6851,x6852)+E(f571(x6853,x6854,x6855,x6856,x6857,x6851),f571(x6853,x6854,x6855,x6856,x6857,x6852))
% 198.24/198.43 [686]~E(x6861,x6862)+E(f749(x6861,x6863,x6864,x6865),f749(x6862,x6863,x6864,x6865))
% 198.24/198.43 [687]~E(x6871,x6872)+E(f749(x6873,x6871,x6874,x6875),f749(x6873,x6872,x6874,x6875))
% 198.24/198.43 [688]~E(x6881,x6882)+E(f749(x6883,x6884,x6881,x6885),f749(x6883,x6884,x6882,x6885))
% 198.24/198.43 [689]~E(x6891,x6892)+E(f749(x6893,x6894,x6895,x6891),f749(x6893,x6894,x6895,x6892))
% 198.24/198.43 [690]~E(x6901,x6902)+E(f831(x6901,x6903,x6904),f831(x6902,x6903,x6904))
% 198.24/198.43 [691]~E(x6911,x6912)+E(f831(x6913,x6911,x6914),f831(x6913,x6912,x6914))
% 198.24/198.43 [692]~E(x6921,x6922)+E(f831(x6923,x6924,x6921),f831(x6923,x6924,x6922))
% 198.24/198.43 [693]~E(x6931,x6932)+E(f87(x6931,x6933),f87(x6932,x6933))
% 198.24/198.43 [694]~E(x6941,x6942)+E(f87(x6943,x6941),f87(x6943,x6942))
% 198.24/198.43 [695]~E(x6951,x6952)+E(f29(x6951,x6953,x6954),f29(x6952,x6953,x6954))
% 198.24/198.43 [696]~E(x6961,x6962)+E(f29(x6963,x6961,x6964),f29(x6963,x6962,x6964))
% 198.24/198.43 [697]~E(x6971,x6972)+E(f29(x6973,x6974,x6971),f29(x6973,x6974,x6972))
% 198.24/198.43 [698]~E(x6981,x6982)+E(f514(x6981,x6983,x6984,x6985),f514(x6982,x6983,x6984,x6985))
% 198.24/198.43 [699]~E(x6991,x6992)+E(f514(x6993,x6991,x6994,x6995),f514(x6993,x6992,x6994,x6995))
% 198.24/198.43 [700]~E(x7001,x7002)+E(f514(x7003,x7004,x7001,x7005),f514(x7003,x7004,x7002,x7005))
% 198.24/198.43 [701]~E(x7011,x7012)+E(f514(x7013,x7014,x7015,x7011),f514(x7013,x7014,x7015,x7012))
% 198.24/198.43 [702]~E(x7021,x7022)+E(f89(x7021),f89(x7022))
% 198.24/198.43 [703]~E(x7031,x7032)+E(f309(x7031),f309(x7032))
% 198.24/198.43 [704]~E(x7041,x7042)+E(f479(x7041,x7043,x7044,x7045,x7046,x7047),f479(x7042,x7043,x7044,x7045,x7046,x7047))
% 198.24/198.43 [705]~E(x7051,x7052)+E(f479(x7053,x7051,x7054,x7055,x7056,x7057),f479(x7053,x7052,x7054,x7055,x7056,x7057))
% 198.24/198.43 [706]~E(x7061,x7062)+E(f479(x7063,x7064,x7061,x7065,x7066,x7067),f479(x7063,x7064,x7062,x7065,x7066,x7067))
% 198.24/198.43 [707]~E(x7071,x7072)+E(f479(x7073,x7074,x7075,x7071,x7076,x7077),f479(x7073,x7074,x7075,x7072,x7076,x7077))
% 198.24/198.43 [708]~E(x7081,x7082)+E(f479(x7083,x7084,x7085,x7086,x7081,x7087),f479(x7083,x7084,x7085,x7086,x7082,x7087))
% 198.24/198.43 [709]~E(x7091,x7092)+E(f479(x7093,x7094,x7095,x7096,x7097,x7091),f479(x7093,x7094,x7095,x7096,x7097,x7092))
% 198.24/198.43 [710]~E(x7101,x7102)+E(f13(x7101,x7103),f13(x7102,x7103))
% 198.24/198.43 [711]~E(x7111,x7112)+E(f13(x7113,x7111),f13(x7113,x7112))
% 198.24/198.43 [712]~E(x7121,x7122)+E(f692(x7121,x7123,x7124),f692(x7122,x7123,x7124))
% 198.24/198.43 [713]~E(x7131,x7132)+E(f692(x7133,x7131,x7134),f692(x7133,x7132,x7134))
% 198.24/198.43 [714]~E(x7141,x7142)+E(f692(x7143,x7144,x7141),f692(x7143,x7144,x7142))
% 198.24/198.43 [715]~E(x7151,x7152)+E(f293(x7151,x7153),f293(x7152,x7153))
% 198.24/198.43 [716]~E(x7161,x7162)+E(f293(x7163,x7161),f293(x7163,x7162))
% 198.24/198.43 [717]~E(x7171,x7172)+E(f414(x7171),f414(x7172))
% 198.24/198.43 [718]~E(x7181,x7182)+E(f548(x7181),f548(x7182))
% 198.24/198.43 [719]~E(x7191,x7192)+E(f225(x7191),f225(x7192))
% 198.24/198.43 [720]~E(x7201,x7202)+E(f124(x7201,x7203,x7204,x7205),f124(x7202,x7203,x7204,x7205))
% 198.24/198.43 [721]~E(x7211,x7212)+E(f124(x7213,x7211,x7214,x7215),f124(x7213,x7212,x7214,x7215))
% 198.24/198.43 [722]~E(x7221,x7222)+E(f124(x7223,x7224,x7221,x7225),f124(x7223,x7224,x7222,x7225))
% 198.24/198.43 [723]~E(x7231,x7232)+E(f124(x7233,x7234,x7235,x7231),f124(x7233,x7234,x7235,x7232))
% 198.24/198.43 [724]~E(x7241,x7242)+E(f125(x7241,x7243),f125(x7242,x7243))
% 198.24/198.43 [725]~E(x7251,x7252)+E(f125(x7253,x7251),f125(x7253,x7252))
% 198.24/198.43 [726]~E(x7261,x7262)+E(f246(x7261,x7263,x7264,x7265),f246(x7262,x7263,x7264,x7265))
% 198.24/198.43 [727]~E(x7271,x7272)+E(f246(x7273,x7271,x7274,x7275),f246(x7273,x7272,x7274,x7275))
% 198.24/198.43 [728]~E(x7281,x7282)+E(f246(x7283,x7284,x7281,x7285),f246(x7283,x7284,x7282,x7285))
% 198.24/198.43 [729]~E(x7291,x7292)+E(f246(x7293,x7294,x7295,x7291),f246(x7293,x7294,x7295,x7292))
% 198.24/198.43 [730]~E(x7301,x7302)+E(f352(x7301,x7303),f352(x7302,x7303))
% 198.24/198.43 [731]~E(x7311,x7312)+E(f352(x7313,x7311),f352(x7313,x7312))
% 198.24/198.43 [732]~E(x7321,x7322)+E(f285(x7321,x7323),f285(x7322,x7323))
% 198.24/198.43 [733]~E(x7331,x7332)+E(f285(x7333,x7331),f285(x7333,x7332))
% 198.24/198.43 [734]~E(x7341,x7342)+E(f205(x7341,x7343,x7344,x7345),f205(x7342,x7343,x7344,x7345))
% 198.24/198.43 [735]~E(x7351,x7352)+E(f205(x7353,x7351,x7354,x7355),f205(x7353,x7352,x7354,x7355))
% 198.24/198.43 [736]~E(x7361,x7362)+E(f205(x7363,x7364,x7361,x7365),f205(x7363,x7364,x7362,x7365))
% 198.24/198.43 [737]~E(x7371,x7372)+E(f205(x7373,x7374,x7375,x7371),f205(x7373,x7374,x7375,x7372))
% 198.24/198.43 [738]~E(x7381,x7382)+E(f152(x7381,x7383,x7384,x7385),f152(x7382,x7383,x7384,x7385))
% 198.24/198.43 [739]~E(x7391,x7392)+E(f152(x7393,x7391,x7394,x7395),f152(x7393,x7392,x7394,x7395))
% 198.24/198.43 [740]~E(x7401,x7402)+E(f152(x7403,x7404,x7401,x7405),f152(x7403,x7404,x7402,x7405))
% 198.24/198.43 [741]~E(x7411,x7412)+E(f152(x7413,x7414,x7415,x7411),f152(x7413,x7414,x7415,x7412))
% 198.24/198.43 [742]~E(x7421,x7422)+E(f668(x7421,x7423,x7424,x7425),f668(x7422,x7423,x7424,x7425))
% 198.24/198.43 [743]~E(x7431,x7432)+E(f668(x7433,x7431,x7434,x7435),f668(x7433,x7432,x7434,x7435))
% 198.24/198.43 [744]~E(x7441,x7442)+E(f668(x7443,x7444,x7441,x7445),f668(x7443,x7444,x7442,x7445))
% 198.24/198.43 [745]~E(x7451,x7452)+E(f668(x7453,x7454,x7455,x7451),f668(x7453,x7454,x7455,x7452))
% 198.24/198.43 [746]~E(x7461,x7462)+E(f55(x7461,x7463,x7464),f55(x7462,x7463,x7464))
% 198.24/198.43 [747]~E(x7471,x7472)+E(f55(x7473,x7471,x7474),f55(x7473,x7472,x7474))
% 198.24/198.43 [748]~E(x7481,x7482)+E(f55(x7483,x7484,x7481),f55(x7483,x7484,x7482))
% 198.24/198.43 [749]~E(x7491,x7492)+E(f112(x7491),f112(x7492))
% 198.24/198.43 [750]~E(x7501,x7502)+E(f177(x7501,x7503,x7504),f177(x7502,x7503,x7504))
% 198.24/198.43 [751]~E(x7511,x7512)+E(f177(x7513,x7511,x7514),f177(x7513,x7512,x7514))
% 198.24/198.43 [752]~E(x7521,x7522)+E(f177(x7523,x7524,x7521),f177(x7523,x7524,x7522))
% 198.24/198.43 [753]~E(x7531,x7532)+E(f395(x7531,x7533,x7534,x7535),f395(x7532,x7533,x7534,x7535))
% 198.24/198.43 [754]~E(x7541,x7542)+E(f395(x7543,x7541,x7544,x7545),f395(x7543,x7542,x7544,x7545))
% 198.24/198.43 [755]~E(x7551,x7552)+E(f395(x7553,x7554,x7551,x7555),f395(x7553,x7554,x7552,x7555))
% 198.24/198.43 [756]~E(x7561,x7562)+E(f395(x7563,x7564,x7565,x7561),f395(x7563,x7564,x7565,x7562))
% 198.24/198.43 [757]~E(x7571,x7572)+E(f425(x7571,x7573,x7574),f425(x7572,x7573,x7574))
% 198.24/198.43 [758]~E(x7581,x7582)+E(f425(x7583,x7581,x7584),f425(x7583,x7582,x7584))
% 198.24/198.43 [759]~E(x7591,x7592)+E(f425(x7593,x7594,x7591),f425(x7593,x7594,x7592))
% 198.24/198.43 [760]~E(x7601,x7602)+E(f848(x7601,x7603,x7604),f848(x7602,x7603,x7604))
% 198.24/198.43 [761]~E(x7611,x7612)+E(f848(x7613,x7611,x7614),f848(x7613,x7612,x7614))
% 198.24/198.43 [762]~E(x7621,x7622)+E(f848(x7623,x7624,x7621),f848(x7623,x7624,x7622))
% 198.24/198.43 [763]~E(x7631,x7632)+E(f253(x7631,x7633),f253(x7632,x7633))
% 198.24/198.43 [764]~E(x7641,x7642)+E(f253(x7643,x7641),f253(x7643,x7642))
% 198.24/198.43 [765]~E(x7651,x7652)+E(f223(x7651,x7653,x7654,x7655),f223(x7652,x7653,x7654,x7655))
% 198.24/198.43 [766]~E(x7661,x7662)+E(f223(x7663,x7661,x7664,x7665),f223(x7663,x7662,x7664,x7665))
% 198.24/198.43 [767]~E(x7671,x7672)+E(f223(x7673,x7674,x7671,x7675),f223(x7673,x7674,x7672,x7675))
% 198.24/198.43 [768]~E(x7681,x7682)+E(f223(x7683,x7684,x7685,x7681),f223(x7683,x7684,x7685,x7682))
% 198.24/198.43 [769]~E(x7691,x7692)+E(f568(x7691,x7693,x7694,x7695,x7696,x7697),f568(x7692,x7693,x7694,x7695,x7696,x7697))
% 198.24/198.43 [770]~E(x7701,x7702)+E(f568(x7703,x7701,x7704,x7705,x7706,x7707),f568(x7703,x7702,x7704,x7705,x7706,x7707))
% 198.24/198.43 [771]~E(x7711,x7712)+E(f568(x7713,x7714,x7711,x7715,x7716,x7717),f568(x7713,x7714,x7712,x7715,x7716,x7717))
% 198.24/198.43 [772]~E(x7721,x7722)+E(f568(x7723,x7724,x7725,x7721,x7726,x7727),f568(x7723,x7724,x7725,x7722,x7726,x7727))
% 198.24/198.43 [773]~E(x7731,x7732)+E(f568(x7733,x7734,x7735,x7736,x7731,x7737),f568(x7733,x7734,x7735,x7736,x7732,x7737))
% 198.24/198.43 [774]~E(x7741,x7742)+E(f568(x7743,x7744,x7745,x7746,x7747,x7741),f568(x7743,x7744,x7745,x7746,x7747,x7742))
% 198.24/198.43 [775]~E(x7751,x7752)+E(f867(x7751,x7753,x7754),f867(x7752,x7753,x7754))
% 198.24/198.43 [776]~E(x7761,x7762)+E(f867(x7763,x7761,x7764),f867(x7763,x7762,x7764))
% 198.24/198.43 [777]~E(x7771,x7772)+E(f867(x7773,x7774,x7771),f867(x7773,x7774,x7772))
% 198.24/198.43 [778]~E(x7781,x7782)+E(f558(x7781,x7783,x7784),f558(x7782,x7783,x7784))
% 198.24/198.43 [779]~E(x7791,x7792)+E(f558(x7793,x7791,x7794),f558(x7793,x7792,x7794))
% 198.24/198.43 [780]~E(x7801,x7802)+E(f558(x7803,x7804,x7801),f558(x7803,x7804,x7802))
% 198.24/198.43 [781]~E(x7811,x7812)+E(f676(x7811,x7813,x7814,x7815,x7816),f676(x7812,x7813,x7814,x7815,x7816))
% 198.24/198.43 [782]~E(x7821,x7822)+E(f676(x7823,x7821,x7824,x7825,x7826),f676(x7823,x7822,x7824,x7825,x7826))
% 198.24/198.43 [783]~E(x7831,x7832)+E(f676(x7833,x7834,x7831,x7835,x7836),f676(x7833,x7834,x7832,x7835,x7836))
% 198.24/198.43 [784]~E(x7841,x7842)+E(f676(x7843,x7844,x7845,x7841,x7846),f676(x7843,x7844,x7845,x7842,x7846))
% 198.24/198.43 [785]~E(x7851,x7852)+E(f676(x7853,x7854,x7855,x7856,x7851),f676(x7853,x7854,x7855,x7856,x7852))
% 198.24/198.43 [786]~E(x7861,x7862)+E(f650(x7861,x7863,x7864,x7865),f650(x7862,x7863,x7864,x7865))
% 198.24/198.43 [787]~E(x7871,x7872)+E(f650(x7873,x7871,x7874,x7875),f650(x7873,x7872,x7874,x7875))
% 198.24/198.43 [788]~E(x7881,x7882)+E(f650(x7883,x7884,x7881,x7885),f650(x7883,x7884,x7882,x7885))
% 198.24/198.43 [789]~E(x7891,x7892)+E(f650(x7893,x7894,x7895,x7891),f650(x7893,x7894,x7895,x7892))
% 198.24/198.43 [790]~E(x7901,x7902)+E(f88(x7901),f88(x7902))
% 198.24/198.43 [791]~E(x7911,x7912)+E(f701(x7911,x7913,x7914,x7915,x7916),f701(x7912,x7913,x7914,x7915,x7916))
% 198.24/198.43 [792]~E(x7921,x7922)+E(f701(x7923,x7921,x7924,x7925,x7926),f701(x7923,x7922,x7924,x7925,x7926))
% 198.24/198.43 [793]~E(x7931,x7932)+E(f701(x7933,x7934,x7931,x7935,x7936),f701(x7933,x7934,x7932,x7935,x7936))
% 198.24/198.43 [794]~E(x7941,x7942)+E(f701(x7943,x7944,x7945,x7941,x7946),f701(x7943,x7944,x7945,x7942,x7946))
% 198.24/198.43 [795]~E(x7951,x7952)+E(f701(x7953,x7954,x7955,x7956,x7951),f701(x7953,x7954,x7955,x7956,x7952))
% 198.24/198.43 [796]~E(x7961,x7962)+E(f146(x7961,x7963),f146(x7962,x7963))
% 198.24/198.43 [797]~E(x7971,x7972)+E(f146(x7973,x7971),f146(x7973,x7972))
% 198.24/198.43 [798]~E(x7981,x7982)+E(f380(x7981),f380(x7982))
% 198.24/198.43 [799]~E(x7991,x7992)+E(f288(x7991,x7993),f288(x7992,x7993))
% 198.24/198.43 [800]~E(x8001,x8002)+E(f288(x8003,x8001),f288(x8003,x8002))
% 198.24/198.43 [801]~E(x8011,x8012)+E(f95(x8011,x8013,x8014),f95(x8012,x8013,x8014))
% 198.24/198.43 [802]~E(x8021,x8022)+E(f95(x8023,x8021,x8024),f95(x8023,x8022,x8024))
% 198.24/198.43 [803]~E(x8031,x8032)+E(f95(x8033,x8034,x8031),f95(x8033,x8034,x8032))
% 198.24/198.43 [804]~E(x8041,x8042)+E(f305(x8041,x8043,x8044,x8045,x8046),f305(x8042,x8043,x8044,x8045,x8046))
% 198.24/198.43 [805]~E(x8051,x8052)+E(f305(x8053,x8051,x8054,x8055,x8056),f305(x8053,x8052,x8054,x8055,x8056))
% 198.24/198.43 [806]~E(x8061,x8062)+E(f305(x8063,x8064,x8061,x8065,x8066),f305(x8063,x8064,x8062,x8065,x8066))
% 198.24/198.43 [807]~E(x8071,x8072)+E(f305(x8073,x8074,x8075,x8071,x8076),f305(x8073,x8074,x8075,x8072,x8076))
% 198.24/198.43 [808]~E(x8081,x8082)+E(f305(x8083,x8084,x8085,x8086,x8081),f305(x8083,x8084,x8085,x8086,x8082))
% 198.24/198.43 [809]~E(x8091,x8092)+E(f822(x8091,x8093,x8094),f822(x8092,x8093,x8094))
% 198.24/198.43 [810]~E(x8101,x8102)+E(f822(x8103,x8101,x8104),f822(x8103,x8102,x8104))
% 198.24/198.43 [811]~E(x8111,x8112)+E(f822(x8113,x8114,x8111),f822(x8113,x8114,x8112))
% 198.24/198.43 [812]~E(x8121,x8122)+E(f67(x8121,x8123,x8124,x8125,x8126),f67(x8122,x8123,x8124,x8125,x8126))
% 198.24/198.43 [813]~E(x8131,x8132)+E(f67(x8133,x8131,x8134,x8135,x8136),f67(x8133,x8132,x8134,x8135,x8136))
% 198.24/198.43 [814]~E(x8141,x8142)+E(f67(x8143,x8144,x8141,x8145,x8146),f67(x8143,x8144,x8142,x8145,x8146))
% 198.24/198.43 [815]~E(x8151,x8152)+E(f67(x8153,x8154,x8155,x8151,x8156),f67(x8153,x8154,x8155,x8152,x8156))
% 198.24/198.43 [816]~E(x8161,x8162)+E(f67(x8163,x8164,x8165,x8166,x8161),f67(x8163,x8164,x8165,x8166,x8162))
% 198.24/198.43 [817]~E(x8171,x8172)+E(f233(x8171,x8173,x8174,x8175),f233(x8172,x8173,x8174,x8175))
% 198.24/198.43 [818]~E(x8181,x8182)+E(f233(x8183,x8181,x8184,x8185),f233(x8183,x8182,x8184,x8185))
% 198.24/198.43 [819]~E(x8191,x8192)+E(f233(x8193,x8194,x8191,x8195),f233(x8193,x8194,x8192,x8195))
% 198.24/198.43 [820]~E(x8201,x8202)+E(f233(x8203,x8204,x8205,x8201),f233(x8203,x8204,x8205,x8202))
% 198.24/198.43 [821]~E(x8211,x8212)+E(f523(x8211,x8213),f523(x8212,x8213))
% 198.24/198.43 [822]~E(x8221,x8222)+E(f523(x8223,x8221),f523(x8223,x8222))
% 198.24/198.43 [823]~E(x8231,x8232)+E(f659(x8231,x8233,x8234,x8235),f659(x8232,x8233,x8234,x8235))
% 198.24/198.43 [824]~E(x8241,x8242)+E(f659(x8243,x8241,x8244,x8245),f659(x8243,x8242,x8244,x8245))
% 198.24/198.43 [825]~E(x8251,x8252)+E(f659(x8253,x8254,x8251,x8255),f659(x8253,x8254,x8252,x8255))
% 198.24/198.43 [826]~E(x8261,x8262)+E(f659(x8263,x8264,x8265,x8261),f659(x8263,x8264,x8265,x8262))
% 198.24/198.43 [827]~E(x8271,x8272)+E(f800(x8271,x8273,x8274,x8275),f800(x8272,x8273,x8274,x8275))
% 198.24/198.43 [828]~E(x8281,x8282)+E(f800(x8283,x8281,x8284,x8285),f800(x8283,x8282,x8284,x8285))
% 198.24/198.43 [829]~E(x8291,x8292)+E(f800(x8293,x8294,x8291,x8295),f800(x8293,x8294,x8292,x8295))
% 198.24/198.43 [830]~E(x8301,x8302)+E(f800(x8303,x8304,x8305,x8301),f800(x8303,x8304,x8305,x8302))
% 198.24/198.43 [831]~E(x8311,x8312)+E(f698(x8311,x8313,x8314,x8315),f698(x8312,x8313,x8314,x8315))
% 198.24/198.43 [832]~E(x8321,x8322)+E(f698(x8323,x8321,x8324,x8325),f698(x8323,x8322,x8324,x8325))
% 198.24/198.43 [833]~E(x8331,x8332)+E(f698(x8333,x8334,x8331,x8335),f698(x8333,x8334,x8332,x8335))
% 198.24/198.43 [834]~E(x8341,x8342)+E(f698(x8343,x8344,x8345,x8341),f698(x8343,x8344,x8345,x8342))
% 198.24/198.43 [835]~E(x8351,x8352)+E(f820(x8351,x8353,x8354),f820(x8352,x8353,x8354))
% 198.24/198.43 [836]~E(x8361,x8362)+E(f820(x8363,x8361,x8364),f820(x8363,x8362,x8364))
% 198.24/198.43 [837]~E(x8371,x8372)+E(f820(x8373,x8374,x8371),f820(x8373,x8374,x8372))
% 198.24/198.43 [838]~E(x8381,x8382)+E(f662(x8381,x8383,x8384,x8385,x8386,x8387),f662(x8382,x8383,x8384,x8385,x8386,x8387))
% 198.24/198.43 [839]~E(x8391,x8392)+E(f662(x8393,x8391,x8394,x8395,x8396,x8397),f662(x8393,x8392,x8394,x8395,x8396,x8397))
% 198.24/198.43 [840]~E(x8401,x8402)+E(f662(x8403,x8404,x8401,x8405,x8406,x8407),f662(x8403,x8404,x8402,x8405,x8406,x8407))
% 198.24/198.43 [841]~E(x8411,x8412)+E(f662(x8413,x8414,x8415,x8411,x8416,x8417),f662(x8413,x8414,x8415,x8412,x8416,x8417))
% 198.24/198.43 [842]~E(x8421,x8422)+E(f662(x8423,x8424,x8425,x8426,x8421,x8427),f662(x8423,x8424,x8425,x8426,x8422,x8427))
% 198.24/198.43 [843]~E(x8431,x8432)+E(f662(x8433,x8434,x8435,x8436,x8437,x8431),f662(x8433,x8434,x8435,x8436,x8437,x8432))
% 198.24/198.43 [844]~E(x8441,x8442)+E(f46(x8441,x8443),f46(x8442,x8443))
% 198.24/198.43 [845]~E(x8451,x8452)+E(f46(x8453,x8451),f46(x8453,x8452))
% 198.24/198.43 [846]~E(x8461,x8462)+E(f661(x8461,x8463,x8464,x8465,x8466,x8467),f661(x8462,x8463,x8464,x8465,x8466,x8467))
% 198.24/198.43 [847]~E(x8471,x8472)+E(f661(x8473,x8471,x8474,x8475,x8476,x8477),f661(x8473,x8472,x8474,x8475,x8476,x8477))
% 198.24/198.43 [848]~E(x8481,x8482)+E(f661(x8483,x8484,x8481,x8485,x8486,x8487),f661(x8483,x8484,x8482,x8485,x8486,x8487))
% 198.24/198.43 [849]~E(x8491,x8492)+E(f661(x8493,x8494,x8495,x8491,x8496,x8497),f661(x8493,x8494,x8495,x8492,x8496,x8497))
% 198.24/198.43 [850]~E(x8501,x8502)+E(f661(x8503,x8504,x8505,x8506,x8501,x8507),f661(x8503,x8504,x8505,x8506,x8502,x8507))
% 198.24/198.43 [851]~E(x8511,x8512)+E(f661(x8513,x8514,x8515,x8516,x8517,x8511),f661(x8513,x8514,x8515,x8516,x8517,x8512))
% 198.24/198.43 [852]~E(x8521,x8522)+E(f474(x8521,x8523,x8524),f474(x8522,x8523,x8524))
% 198.24/198.43 [853]~E(x8531,x8532)+E(f474(x8533,x8531,x8534),f474(x8533,x8532,x8534))
% 198.24/198.43 [854]~E(x8541,x8542)+E(f474(x8543,x8544,x8541),f474(x8543,x8544,x8542))
% 198.24/198.43 [855]~E(x8551,x8552)+E(f809(x8551,x8553,x8554,x8555),f809(x8552,x8553,x8554,x8555))
% 198.24/198.43 [856]~E(x8561,x8562)+E(f809(x8563,x8561,x8564,x8565),f809(x8563,x8562,x8564,x8565))
% 198.24/198.43 [857]~E(x8571,x8572)+E(f809(x8573,x8574,x8571,x8575),f809(x8573,x8574,x8572,x8575))
% 198.24/198.43 [858]~E(x8581,x8582)+E(f809(x8583,x8584,x8585,x8581),f809(x8583,x8584,x8585,x8582))
% 198.24/198.43 [859]~E(x8591,x8592)+E(f529(x8591,x8593,x8594,x8595),f529(x8592,x8593,x8594,x8595))
% 198.24/198.43 [860]~E(x8601,x8602)+E(f529(x8603,x8601,x8604,x8605),f529(x8603,x8602,x8604,x8605))
% 198.24/198.43 [861]~E(x8611,x8612)+E(f529(x8613,x8614,x8611,x8615),f529(x8613,x8614,x8612,x8615))
% 198.24/198.43 [862]~E(x8621,x8622)+E(f529(x8623,x8624,x8625,x8621),f529(x8623,x8624,x8625,x8622))
% 198.24/198.43 [863]~E(x8631,x8632)+E(f203(x8631,x8633),f203(x8632,x8633))
% 198.24/198.43 [864]~E(x8641,x8642)+E(f203(x8643,x8641),f203(x8643,x8642))
% 198.24/198.43 [865]~E(x8651,x8652)+E(f518(x8651,x8653,x8654,x8655),f518(x8652,x8653,x8654,x8655))
% 198.24/198.43 [866]~E(x8661,x8662)+E(f518(x8663,x8661,x8664,x8665),f518(x8663,x8662,x8664,x8665))
% 198.24/198.43 [867]~E(x8671,x8672)+E(f518(x8673,x8674,x8671,x8675),f518(x8673,x8674,x8672,x8675))
% 198.24/198.43 [868]~E(x8681,x8682)+E(f518(x8683,x8684,x8685,x8681),f518(x8683,x8684,x8685,x8682))
% 198.24/198.43 [869]~E(x8691,x8692)+E(f687(x8691,x8693),f687(x8692,x8693))
% 198.24/198.43 [870]~E(x8701,x8702)+E(f687(x8703,x8701),f687(x8703,x8702))
% 198.24/198.43 [871]~E(x8711,x8712)+E(f347(x8711),f347(x8712))
% 198.24/198.43 [872]~E(x8721,x8722)+E(f424(x8721,x8723,x8724),f424(x8722,x8723,x8724))
% 198.24/198.43 [873]~E(x8731,x8732)+E(f424(x8733,x8731,x8734),f424(x8733,x8732,x8734))
% 198.24/198.43 [874]~E(x8741,x8742)+E(f424(x8743,x8744,x8741),f424(x8743,x8744,x8742))
% 198.24/198.43 [875]~E(x8751,x8752)+E(f265(x8751,x8753),f265(x8752,x8753))
% 198.24/198.43 [876]~E(x8761,x8762)+E(f265(x8763,x8761),f265(x8763,x8762))
% 198.24/198.43 [877]~E(x8771,x8772)+E(f261(x8771,x8773,x8774),f261(x8772,x8773,x8774))
% 198.24/198.43 [878]~E(x8781,x8782)+E(f261(x8783,x8781,x8784),f261(x8783,x8782,x8784))
% 198.24/198.43 [879]~E(x8791,x8792)+E(f261(x8793,x8794,x8791),f261(x8793,x8794,x8792))
% 198.24/198.43 [880]~E(x8801,x8802)+E(f854(x8801,x8803,x8804),f854(x8802,x8803,x8804))
% 198.24/198.43 [881]~E(x8811,x8812)+E(f854(x8813,x8811,x8814),f854(x8813,x8812,x8814))
% 198.24/198.43 [882]~E(x8821,x8822)+E(f854(x8823,x8824,x8821),f854(x8823,x8824,x8822))
% 198.24/198.43 [883]~E(x8831,x8832)+E(f269(x8831,x8833),f269(x8832,x8833))
% 198.24/198.43 [884]~E(x8841,x8842)+E(f269(x8843,x8841),f269(x8843,x8842))
% 198.24/198.43 [885]~E(x8851,x8852)+E(f368(x8851,x8853),f368(x8852,x8853))
% 198.24/198.43 [886]~E(x8861,x8862)+E(f368(x8863,x8861),f368(x8863,x8862))
% 198.24/198.43 [887]~E(x8871,x8872)+E(f290(x8871),f290(x8872))
% 198.24/198.43 [888]~E(x8881,x8882)+E(f603(x8881,x8883),f603(x8882,x8883))
% 198.24/198.43 [889]~E(x8891,x8892)+E(f603(x8893,x8891),f603(x8893,x8892))
% 198.24/198.43 [890]~E(x8901,x8902)+E(f842(x8901,x8903,x8904,x8905,x8906),f842(x8902,x8903,x8904,x8905,x8906))
% 198.24/198.43 [891]~E(x8911,x8912)+E(f842(x8913,x8911,x8914,x8915,x8916),f842(x8913,x8912,x8914,x8915,x8916))
% 198.24/198.43 [892]~E(x8921,x8922)+E(f842(x8923,x8924,x8921,x8925,x8926),f842(x8923,x8924,x8922,x8925,x8926))
% 198.24/198.43 [893]~E(x8931,x8932)+E(f842(x8933,x8934,x8935,x8931,x8936),f842(x8933,x8934,x8935,x8932,x8936))
% 198.24/198.43 [894]~E(x8941,x8942)+E(f842(x8943,x8944,x8945,x8946,x8941),f842(x8943,x8944,x8945,x8946,x8942))
% 198.24/198.43 [895]~E(x8951,x8952)+E(f482(x8951,x8953),f482(x8952,x8953))
% 198.24/198.43 [896]~E(x8961,x8962)+E(f482(x8963,x8961),f482(x8963,x8962))
% 198.24/198.43 [897]~E(x8971,x8972)+E(f748(x8971,x8973,x8974),f748(x8972,x8973,x8974))
% 198.24/198.43 [898]~E(x8981,x8982)+E(f748(x8983,x8981,x8984),f748(x8983,x8982,x8984))
% 198.24/198.43 [899]~E(x8991,x8992)+E(f748(x8993,x8994,x8991),f748(x8993,x8994,x8992))
% 198.24/198.43 [900]~E(x9001,x9002)+E(f741(x9001,x9003,x9004),f741(x9002,x9003,x9004))
% 198.24/198.43 [901]~E(x9011,x9012)+E(f741(x9013,x9011,x9014),f741(x9013,x9012,x9014))
% 198.24/198.43 [902]~E(x9021,x9022)+E(f741(x9023,x9024,x9021),f741(x9023,x9024,x9022))
% 198.24/198.43 [903]~E(x9031,x9032)+E(f453(x9031,x9033,x9034,x9035),f453(x9032,x9033,x9034,x9035))
% 198.24/198.43 [904]~E(x9041,x9042)+E(f453(x9043,x9041,x9044,x9045),f453(x9043,x9042,x9044,x9045))
% 198.24/198.43 [905]~E(x9051,x9052)+E(f453(x9053,x9054,x9051,x9055),f453(x9053,x9054,x9052,x9055))
% 198.24/198.43 [906]~E(x9061,x9062)+E(f453(x9063,x9064,x9065,x9061),f453(x9063,x9064,x9065,x9062))
% 198.24/198.43 [907]~E(x9071,x9072)+E(f235(x9071,x9073,x9074),f235(x9072,x9073,x9074))
% 198.24/198.43 [908]~E(x9081,x9082)+E(f235(x9083,x9081,x9084),f235(x9083,x9082,x9084))
% 198.24/198.43 [909]~E(x9091,x9092)+E(f235(x9093,x9094,x9091),f235(x9093,x9094,x9092))
% 198.24/198.43 [910]~E(x9101,x9102)+E(f697(x9101,x9103,x9104,x9105,x9106),f697(x9102,x9103,x9104,x9105,x9106))
% 198.24/198.43 [911]~E(x9111,x9112)+E(f697(x9113,x9111,x9114,x9115,x9116),f697(x9113,x9112,x9114,x9115,x9116))
% 198.24/198.43 [912]~E(x9121,x9122)+E(f697(x9123,x9124,x9121,x9125,x9126),f697(x9123,x9124,x9122,x9125,x9126))
% 198.24/198.43 [913]~E(x9131,x9132)+E(f697(x9133,x9134,x9135,x9131,x9136),f697(x9133,x9134,x9135,x9132,x9136))
% 198.24/198.43 [914]~E(x9141,x9142)+E(f697(x9143,x9144,x9145,x9146,x9141),f697(x9143,x9144,x9145,x9146,x9142))
% 198.24/198.43 [915]~E(x9151,x9152)+E(f846(x9151,x9153,x9154,x9155,x9156),f846(x9152,x9153,x9154,x9155,x9156))
% 198.24/198.43 [916]~E(x9161,x9162)+E(f846(x9163,x9161,x9164,x9165,x9166),f846(x9163,x9162,x9164,x9165,x9166))
% 198.24/198.43 [917]~E(x9171,x9172)+E(f846(x9173,x9174,x9171,x9175,x9176),f846(x9173,x9174,x9172,x9175,x9176))
% 198.24/198.43 [918]~E(x9181,x9182)+E(f846(x9183,x9184,x9185,x9181,x9186),f846(x9183,x9184,x9185,x9182,x9186))
% 198.24/198.43 [919]~E(x9191,x9192)+E(f846(x9193,x9194,x9195,x9196,x9191),f846(x9193,x9194,x9195,x9196,x9192))
% 198.24/198.43 [920]~E(x9201,x9202)+E(f151(x9201,x9203,x9204,x9205,x9206),f151(x9202,x9203,x9204,x9205,x9206))
% 198.24/198.43 [921]~E(x9211,x9212)+E(f151(x9213,x9211,x9214,x9215,x9216),f151(x9213,x9212,x9214,x9215,x9216))
% 198.24/198.43 [922]~E(x9221,x9222)+E(f151(x9223,x9224,x9221,x9225,x9226),f151(x9223,x9224,x9222,x9225,x9226))
% 198.24/198.43 [923]~E(x9231,x9232)+E(f151(x9233,x9234,x9235,x9231,x9236),f151(x9233,x9234,x9235,x9232,x9236))
% 198.24/198.43 [924]~E(x9241,x9242)+E(f151(x9243,x9244,x9245,x9246,x9241),f151(x9243,x9244,x9245,x9246,x9242))
% 198.24/198.43 [925]~E(x9251,x9252)+E(f836(x9251,x9253),f836(x9252,x9253))
% 198.24/198.43 [926]~E(x9261,x9262)+E(f836(x9263,x9261),f836(x9263,x9262))
% 198.24/198.43 [927]~E(x9271,x9272)+E(f14(x9271,x9273),f14(x9272,x9273))
% 198.24/198.43 [928]~E(x9281,x9282)+E(f14(x9283,x9281),f14(x9283,x9282))
% 198.24/198.43 [929]~E(x9291,x9292)+E(f742(x9291,x9293,x9294),f742(x9292,x9293,x9294))
% 198.24/198.43 [930]~E(x9301,x9302)+E(f742(x9303,x9301,x9304),f742(x9303,x9302,x9304))
% 198.24/198.43 [931]~E(x9311,x9312)+E(f742(x9313,x9314,x9311),f742(x9313,x9314,x9312))
% 198.24/198.43 [932]~E(x9321,x9322)+E(f229(x9321,x9323),f229(x9322,x9323))
% 198.24/198.43 [933]~E(x9331,x9332)+E(f229(x9333,x9331),f229(x9333,x9332))
% 198.24/198.43 [934]~E(x9341,x9342)+E(f211(x9341,x9343),f211(x9342,x9343))
% 198.24/198.43 [935]~E(x9351,x9352)+E(f211(x9353,x9351),f211(x9353,x9352))
% 198.24/198.43 [936]~E(x9361,x9362)+E(f130(x9361,x9363,x9364),f130(x9362,x9363,x9364))
% 198.24/198.43 [937]~E(x9371,x9372)+E(f130(x9373,x9371,x9374),f130(x9373,x9372,x9374))
% 198.24/198.43 [938]~E(x9381,x9382)+E(f130(x9383,x9384,x9381),f130(x9383,x9384,x9382))
% 198.24/198.43 [939]~E(x9391,x9392)+E(f147(x9391,x9393),f147(x9392,x9393))
% 198.24/198.43 [940]~E(x9401,x9402)+E(f147(x9403,x9401),f147(x9403,x9402))
% 198.24/198.43 [941]~E(x9411,x9412)+E(f191(x9411,x9413,x9414,x9415),f191(x9412,x9413,x9414,x9415))
% 198.24/198.43 [942]~E(x9421,x9422)+E(f191(x9423,x9421,x9424,x9425),f191(x9423,x9422,x9424,x9425))
% 198.24/198.43 [943]~E(x9431,x9432)+E(f191(x9433,x9434,x9431,x9435),f191(x9433,x9434,x9432,x9435))
% 198.24/198.43 [944]~E(x9441,x9442)+E(f191(x9443,x9444,x9445,x9441),f191(x9443,x9444,x9445,x9442))
% 198.24/198.43 [945]~E(x9451,x9452)+E(f449(x9451,x9453,x9454),f449(x9452,x9453,x9454))
% 198.24/198.43 [946]~E(x9461,x9462)+E(f449(x9463,x9461,x9464),f449(x9463,x9462,x9464))
% 198.24/198.43 [947]~E(x9471,x9472)+E(f449(x9473,x9474,x9471),f449(x9473,x9474,x9472))
% 198.24/198.43 [948]~E(x9481,x9482)+E(f195(x9481),f195(x9482))
% 198.24/198.43 [949]~E(x9491,x9492)+E(f683(x9491,x9493,x9494),f683(x9492,x9493,x9494))
% 198.24/198.43 [950]~E(x9501,x9502)+E(f683(x9503,x9501,x9504),f683(x9503,x9502,x9504))
% 198.24/198.43 [951]~E(x9511,x9512)+E(f683(x9513,x9514,x9511),f683(x9513,x9514,x9512))
% 198.24/198.43 [952]~E(x9521,x9522)+E(f801(x9521,x9523,x9524,x9525),f801(x9522,x9523,x9524,x9525))
% 198.24/198.43 [953]~E(x9531,x9532)+E(f801(x9533,x9531,x9534,x9535),f801(x9533,x9532,x9534,x9535))
% 198.24/198.43 [954]~E(x9541,x9542)+E(f801(x9543,x9544,x9541,x9545),f801(x9543,x9544,x9542,x9545))
% 198.24/198.43 [955]~E(x9551,x9552)+E(f801(x9553,x9554,x9555,x9551),f801(x9553,x9554,x9555,x9552))
% 198.24/198.43 [956]~E(x9561,x9562)+E(f597(x9561,x9563,x9564,x9565,x9566),f597(x9562,x9563,x9564,x9565,x9566))
% 198.24/198.43 [957]~E(x9571,x9572)+E(f597(x9573,x9571,x9574,x9575,x9576),f597(x9573,x9572,x9574,x9575,x9576))
% 198.24/198.43 [958]~E(x9581,x9582)+E(f597(x9583,x9584,x9581,x9585,x9586),f597(x9583,x9584,x9582,x9585,x9586))
% 198.24/198.43 [959]~E(x9591,x9592)+E(f597(x9593,x9594,x9595,x9591,x9596),f597(x9593,x9594,x9595,x9592,x9596))
% 198.24/198.43 [960]~E(x9601,x9602)+E(f597(x9603,x9604,x9605,x9606,x9601),f597(x9603,x9604,x9605,x9606,x9602))
% 198.24/198.43 [961]~E(x9611,x9612)+E(f78(x9611,x9613,x9614,x9615),f78(x9612,x9613,x9614,x9615))
% 198.24/198.43 [962]~E(x9621,x9622)+E(f78(x9623,x9621,x9624,x9625),f78(x9623,x9622,x9624,x9625))
% 198.24/198.43 [963]~E(x9631,x9632)+E(f78(x9633,x9634,x9631,x9635),f78(x9633,x9634,x9632,x9635))
% 198.24/198.43 [964]~E(x9641,x9642)+E(f78(x9643,x9644,x9645,x9641),f78(x9643,x9644,x9645,x9642))
% 198.24/198.43 [965]~E(x9651,x9652)+E(f466(x9651,x9653,x9654,x9655,x9656),f466(x9652,x9653,x9654,x9655,x9656))
% 198.24/198.43 [966]~E(x9661,x9662)+E(f466(x9663,x9661,x9664,x9665,x9666),f466(x9663,x9662,x9664,x9665,x9666))
% 198.24/198.43 [967]~E(x9671,x9672)+E(f466(x9673,x9674,x9671,x9675,x9676),f466(x9673,x9674,x9672,x9675,x9676))
% 198.24/198.43 [968]~E(x9681,x9682)+E(f466(x9683,x9684,x9685,x9681,x9686),f466(x9683,x9684,x9685,x9682,x9686))
% 198.24/198.43 [969]~E(x9691,x9692)+E(f466(x9693,x9694,x9695,x9696,x9691),f466(x9693,x9694,x9695,x9696,x9692))
% 198.24/198.43 [970]~E(x9701,x9702)+E(f721(x9701,x9703),f721(x9702,x9703))
% 198.24/198.43 [971]~E(x9711,x9712)+E(f721(x9713,x9711),f721(x9713,x9712))
% 198.24/198.43 [972]~E(x9721,x9722)+E(f872(x9721,x9723,x9724,x9725,x9726),f872(x9722,x9723,x9724,x9725,x9726))
% 198.24/198.43 [973]~E(x9731,x9732)+E(f872(x9733,x9731,x9734,x9735,x9736),f872(x9733,x9732,x9734,x9735,x9736))
% 198.24/198.43 [974]~E(x9741,x9742)+E(f872(x9743,x9744,x9741,x9745,x9746),f872(x9743,x9744,x9742,x9745,x9746))
% 198.24/198.43 [975]~E(x9751,x9752)+E(f872(x9753,x9754,x9755,x9751,x9756),f872(x9753,x9754,x9755,x9752,x9756))
% 198.24/198.43 [976]~E(x9761,x9762)+E(f872(x9763,x9764,x9765,x9766,x9761),f872(x9763,x9764,x9765,x9766,x9762))
% 198.24/198.43 [977]~E(x9771,x9772)+E(f201(x9771,x9773),f201(x9772,x9773))
% 198.24/198.43 [978]~E(x9781,x9782)+E(f201(x9783,x9781),f201(x9783,x9782))
% 198.24/198.43 [979]~E(x9791,x9792)+E(f546(x9791,x9793,x9794,x9795,x9796,x9797,x9798,x9799),f546(x9792,x9793,x9794,x9795,x9796,x9797,x9798,x9799))
% 198.24/198.43 [980]~E(x9801,x9802)+E(f546(x9803,x9801,x9804,x9805,x9806,x9807,x9808,x9809),f546(x9803,x9802,x9804,x9805,x9806,x9807,x9808,x9809))
% 198.24/198.43 [981]~E(x9811,x9812)+E(f546(x9813,x9814,x9811,x9815,x9816,x9817,x9818,x9819),f546(x9813,x9814,x9812,x9815,x9816,x9817,x9818,x9819))
% 198.24/198.43 [982]~E(x9821,x9822)+E(f546(x9823,x9824,x9825,x9821,x9826,x9827,x9828,x9829),f546(x9823,x9824,x9825,x9822,x9826,x9827,x9828,x9829))
% 198.24/198.43 [983]~E(x9831,x9832)+E(f546(x9833,x9834,x9835,x9836,x9831,x9837,x9838,x9839),f546(x9833,x9834,x9835,x9836,x9832,x9837,x9838,x9839))
% 198.24/198.43 [984]~E(x9841,x9842)+E(f546(x9843,x9844,x9845,x9846,x9847,x9841,x9848,x9849),f546(x9843,x9844,x9845,x9846,x9847,x9842,x9848,x9849))
% 198.24/198.43 [985]~E(x9851,x9852)+E(f546(x9853,x9854,x9855,x9856,x9857,x9858,x9851,x9859),f546(x9853,x9854,x9855,x9856,x9857,x9858,x9852,x9859))
% 198.24/198.43 [986]~E(x9861,x9862)+E(f546(x9863,x9864,x9865,x9866,x9867,x9868,x9869,x9861),f546(x9863,x9864,x9865,x9866,x9867,x9868,x9869,x9862))
% 198.24/198.43 [987]~E(x9871,x9872)+E(f123(x9871,x9873),f123(x9872,x9873))
% 198.24/198.43 [988]~E(x9881,x9882)+E(f123(x9883,x9881),f123(x9883,x9882))
% 198.24/198.43 [989]~E(x9891,x9892)+E(f608(x9891,x9893,x9894,x9895),f608(x9892,x9893,x9894,x9895))
% 198.24/198.43 [990]~E(x9901,x9902)+E(f608(x9903,x9901,x9904,x9905),f608(x9903,x9902,x9904,x9905))
% 198.24/198.43 [991]~E(x9911,x9912)+E(f608(x9913,x9914,x9911,x9915),f608(x9913,x9914,x9912,x9915))
% 198.24/198.43 [992]~E(x9921,x9922)+E(f608(x9923,x9924,x9925,x9921),f608(x9923,x9924,x9925,x9922))
% 198.24/198.43 [993]~E(x9931,x9932)+E(f487(x9931,x9933,x9934),f487(x9932,x9933,x9934))
% 198.24/198.43 [994]~E(x9941,x9942)+E(f487(x9943,x9941,x9944),f487(x9943,x9942,x9944))
% 198.24/198.43 [995]~E(x9951,x9952)+E(f487(x9953,x9954,x9951),f487(x9953,x9954,x9952))
% 198.24/198.43 [996]~E(x9961,x9962)+E(f656(x9961,x9963),f656(x9962,x9963))
% 198.24/198.43 [997]~E(x9971,x9972)+E(f656(x9973,x9971),f656(x9973,x9972))
% 198.24/198.43 [998]~E(x9981,x9982)+E(f647(x9981,x9983,x9984,x9985,x9986,x9987,x9988),f647(x9982,x9983,x9984,x9985,x9986,x9987,x9988))
% 198.24/198.43 [999]~E(x9991,x9992)+E(f647(x9993,x9991,x9994,x9995,x9996,x9997,x9998),f647(x9993,x9992,x9994,x9995,x9996,x9997,x9998))
% 198.24/198.43 [1000]~E(x10001,x10002)+E(f647(x10003,x10004,x10001,x10005,x10006,x10007,x10008),f647(x10003,x10004,x10002,x10005,x10006,x10007,x10008))
% 198.24/198.43 [1001]~E(x10011,x10012)+E(f647(x10013,x10014,x10015,x10011,x10016,x10017,x10018),f647(x10013,x10014,x10015,x10012,x10016,x10017,x10018))
% 198.24/198.43 [1002]~E(x10021,x10022)+E(f647(x10023,x10024,x10025,x10026,x10021,x10027,x10028),f647(x10023,x10024,x10025,x10026,x10022,x10027,x10028))
% 198.24/198.43 [1003]~E(x10031,x10032)+E(f647(x10033,x10034,x10035,x10036,x10037,x10031,x10038),f647(x10033,x10034,x10035,x10036,x10037,x10032,x10038))
% 198.24/198.43 [1004]~E(x10041,x10042)+E(f647(x10043,x10044,x10045,x10046,x10047,x10048,x10041),f647(x10043,x10044,x10045,x10046,x10047,x10048,x10042))
% 198.24/198.43 [1005]~E(x10051,x10052)+E(f780(x10051,x10053,x10054,x10055,x10056),f780(x10052,x10053,x10054,x10055,x10056))
% 198.24/198.43 [1006]~E(x10061,x10062)+E(f780(x10063,x10061,x10064,x10065,x10066),f780(x10063,x10062,x10064,x10065,x10066))
% 198.24/198.43 [1007]~E(x10071,x10072)+E(f780(x10073,x10074,x10071,x10075,x10076),f780(x10073,x10074,x10072,x10075,x10076))
% 198.24/198.43 [1008]~E(x10081,x10082)+E(f780(x10083,x10084,x10085,x10081,x10086),f780(x10083,x10084,x10085,x10082,x10086))
% 198.24/198.43 [1009]~E(x10091,x10092)+E(f780(x10093,x10094,x10095,x10096,x10091),f780(x10093,x10094,x10095,x10096,x10092))
% 198.24/198.43 [1010]~E(x10101,x10102)+E(f870(x10101,x10103,x10104,x10105),f870(x10102,x10103,x10104,x10105))
% 198.24/198.43 [1011]~E(x10111,x10112)+E(f870(x10113,x10111,x10114,x10115),f870(x10113,x10112,x10114,x10115))
% 198.24/198.43 [1012]~E(x10121,x10122)+E(f870(x10123,x10124,x10121,x10125),f870(x10123,x10124,x10122,x10125))
% 198.24/198.43 [1013]~E(x10131,x10132)+E(f870(x10133,x10134,x10135,x10131),f870(x10133,x10134,x10135,x10132))
% 198.24/198.43 [1014]~E(x10141,x10142)+E(f483(x10141,x10143,x10144),f483(x10142,x10143,x10144))
% 198.24/198.43 [1015]~E(x10151,x10152)+E(f483(x10153,x10151,x10154),f483(x10153,x10152,x10154))
% 198.24/198.43 [1016]~E(x10161,x10162)+E(f483(x10163,x10164,x10161),f483(x10163,x10164,x10162))
% 198.24/198.43 [1017]~E(x10171,x10172)+E(f550(x10171,x10173,x10174),f550(x10172,x10173,x10174))
% 198.24/198.43 [1018]~E(x10181,x10182)+E(f550(x10183,x10181,x10184),f550(x10183,x10182,x10184))
% 198.24/198.43 [1019]~E(x10191,x10192)+E(f550(x10193,x10194,x10191),f550(x10193,x10194,x10192))
% 198.24/198.43 [1020]~E(x10201,x10202)+E(f679(x10201,x10203,x10204,x10205,x10206),f679(x10202,x10203,x10204,x10205,x10206))
% 198.24/198.43 [1021]~E(x10211,x10212)+E(f679(x10213,x10211,x10214,x10215,x10216),f679(x10213,x10212,x10214,x10215,x10216))
% 198.24/198.43 [1022]~E(x10221,x10222)+E(f679(x10223,x10224,x10221,x10225,x10226),f679(x10223,x10224,x10222,x10225,x10226))
% 198.24/198.43 [1023]~E(x10231,x10232)+E(f679(x10233,x10234,x10235,x10231,x10236),f679(x10233,x10234,x10235,x10232,x10236))
% 198.24/198.43 [1024]~E(x10241,x10242)+E(f679(x10243,x10244,x10245,x10246,x10241),f679(x10243,x10244,x10245,x10246,x10242))
% 198.24/198.43 [1025]~E(x10251,x10252)+E(f421(x10251,x10253,x10254,x10255,x10256),f421(x10252,x10253,x10254,x10255,x10256))
% 198.24/198.43 [1026]~E(x10261,x10262)+E(f421(x10263,x10261,x10264,x10265,x10266),f421(x10263,x10262,x10264,x10265,x10266))
% 198.24/198.43 [1027]~E(x10271,x10272)+E(f421(x10273,x10274,x10271,x10275,x10276),f421(x10273,x10274,x10272,x10275,x10276))
% 198.24/198.43 [1028]~E(x10281,x10282)+E(f421(x10283,x10284,x10285,x10281,x10286),f421(x10283,x10284,x10285,x10282,x10286))
% 198.24/198.43 [1029]~E(x10291,x10292)+E(f421(x10293,x10294,x10295,x10296,x10291),f421(x10293,x10294,x10295,x10296,x10292))
% 198.24/198.43 [1030]~E(x10301,x10302)+E(f547(x10301,x10303),f547(x10302,x10303))
% 198.24/198.43 [1031]~E(x10311,x10312)+E(f547(x10313,x10311),f547(x10313,x10312))
% 198.24/198.43 [1032]~E(x10321,x10322)+E(f491(x10321,x10323,x10324),f491(x10322,x10323,x10324))
% 198.24/198.43 [1033]~E(x10331,x10332)+E(f491(x10333,x10331,x10334),f491(x10333,x10332,x10334))
% 198.24/198.43 [1034]~E(x10341,x10342)+E(f491(x10343,x10344,x10341),f491(x10343,x10344,x10342))
% 198.24/198.43 [1035]~E(x10351,x10352)+E(f501(x10351,x10353,x10354,x10355,x10356),f501(x10352,x10353,x10354,x10355,x10356))
% 198.24/198.43 [1036]~E(x10361,x10362)+E(f501(x10363,x10361,x10364,x10365,x10366),f501(x10363,x10362,x10364,x10365,x10366))
% 198.24/198.43 [1037]~E(x10371,x10372)+E(f501(x10373,x10374,x10371,x10375,x10376),f501(x10373,x10374,x10372,x10375,x10376))
% 198.24/198.43 [1038]~E(x10381,x10382)+E(f501(x10383,x10384,x10385,x10381,x10386),f501(x10383,x10384,x10385,x10382,x10386))
% 198.24/198.43 [1039]~E(x10391,x10392)+E(f501(x10393,x10394,x10395,x10396,x10391),f501(x10393,x10394,x10395,x10396,x10392))
% 198.24/198.43 [1040]~E(x10401,x10402)+E(f552(x10401,x10403,x10404),f552(x10402,x10403,x10404))
% 198.24/198.43 [1041]~E(x10411,x10412)+E(f552(x10413,x10411,x10414),f552(x10413,x10412,x10414))
% 198.24/198.43 [1042]~E(x10421,x10422)+E(f552(x10423,x10424,x10421),f552(x10423,x10424,x10422))
% 198.24/198.43 [1043]~E(x10431,x10432)+E(f361(x10431,x10433,x10434,x10435),f361(x10432,x10433,x10434,x10435))
% 198.24/198.43 [1044]~E(x10441,x10442)+E(f361(x10443,x10441,x10444,x10445),f361(x10443,x10442,x10444,x10445))
% 198.24/198.43 [1045]~E(x10451,x10452)+E(f361(x10453,x10454,x10451,x10455),f361(x10453,x10454,x10452,x10455))
% 198.24/198.43 [1046]~E(x10461,x10462)+E(f361(x10463,x10464,x10465,x10461),f361(x10463,x10464,x10465,x10462))
% 198.24/198.43 [1047]~E(x10471,x10472)+E(f488(x10471,x10473,x10474,x10475,x10476),f488(x10472,x10473,x10474,x10475,x10476))
% 198.24/198.43 [1048]~E(x10481,x10482)+E(f488(x10483,x10481,x10484,x10485,x10486),f488(x10483,x10482,x10484,x10485,x10486))
% 198.24/198.43 [1049]~E(x10491,x10492)+E(f488(x10493,x10494,x10491,x10495,x10496),f488(x10493,x10494,x10492,x10495,x10496))
% 198.24/198.43 [1050]~E(x10501,x10502)+E(f488(x10503,x10504,x10505,x10501,x10506),f488(x10503,x10504,x10505,x10502,x10506))
% 198.24/198.43 [1051]~E(x10511,x10512)+E(f488(x10513,x10514,x10515,x10516,x10511),f488(x10513,x10514,x10515,x10516,x10512))
% 198.24/198.43 [1052]~E(x10521,x10522)+E(f703(x10521,x10523,x10524,x10525,x10526),f703(x10522,x10523,x10524,x10525,x10526))
% 198.24/198.43 [1053]~E(x10531,x10532)+E(f703(x10533,x10531,x10534,x10535,x10536),f703(x10533,x10532,x10534,x10535,x10536))
% 198.24/198.43 [1054]~E(x10541,x10542)+E(f703(x10543,x10544,x10541,x10545,x10546),f703(x10543,x10544,x10542,x10545,x10546))
% 198.24/198.43 [1055]~E(x10551,x10552)+E(f703(x10553,x10554,x10555,x10551,x10556),f703(x10553,x10554,x10555,x10552,x10556))
% 198.24/198.43 [1056]~E(x10561,x10562)+E(f703(x10563,x10564,x10565,x10566,x10561),f703(x10563,x10564,x10565,x10566,x10562))
% 198.24/198.43 [1057]~E(x10571,x10572)+E(f827(x10571,x10573,x10574),f827(x10572,x10573,x10574))
% 198.24/198.43 [1058]~E(x10581,x10582)+E(f827(x10583,x10581,x10584),f827(x10583,x10582,x10584))
% 198.24/198.43 [1059]~E(x10591,x10592)+E(f827(x10593,x10594,x10591),f827(x10593,x10594,x10592))
% 198.24/198.43 [1060]~E(x10601,x10602)+E(f667(x10601,x10603,x10604,x10605),f667(x10602,x10603,x10604,x10605))
% 198.24/198.43 [1061]~E(x10611,x10612)+E(f667(x10613,x10611,x10614,x10615),f667(x10613,x10612,x10614,x10615))
% 198.24/198.43 [1062]~E(x10621,x10622)+E(f667(x10623,x10624,x10621,x10625),f667(x10623,x10624,x10622,x10625))
% 198.24/198.43 [1063]~E(x10631,x10632)+E(f667(x10633,x10634,x10635,x10631),f667(x10633,x10634,x10635,x10632))
% 198.24/198.43 [1064]~E(x10641,x10642)+E(f157(x10641,x10643,x10644),f157(x10642,x10643,x10644))
% 198.24/198.43 [1065]~E(x10651,x10652)+E(f157(x10653,x10651,x10654),f157(x10653,x10652,x10654))
% 198.24/198.43 [1066]~E(x10661,x10662)+E(f157(x10663,x10664,x10661),f157(x10663,x10664,x10662))
% 198.24/198.43 [1067]~E(x10671,x10672)+E(f77(x10671,x10673,x10674,x10675,x10676),f77(x10672,x10673,x10674,x10675,x10676))
% 198.24/198.43 [1068]~E(x10681,x10682)+E(f77(x10683,x10681,x10684,x10685,x10686),f77(x10683,x10682,x10684,x10685,x10686))
% 198.24/198.43 [1069]~E(x10691,x10692)+E(f77(x10693,x10694,x10691,x10695,x10696),f77(x10693,x10694,x10692,x10695,x10696))
% 198.24/198.43 [1070]~E(x10701,x10702)+E(f77(x10703,x10704,x10705,x10701,x10706),f77(x10703,x10704,x10705,x10702,x10706))
% 198.24/198.43 [1071]~E(x10711,x10712)+E(f77(x10713,x10714,x10715,x10716,x10711),f77(x10713,x10714,x10715,x10716,x10712))
% 198.24/198.43 [1072]~E(x10721,x10722)+E(f53(x10721,x10723),f53(x10722,x10723))
% 198.24/198.43 [1073]~E(x10731,x10732)+E(f53(x10733,x10731),f53(x10733,x10732))
% 198.24/198.43 [1074]~E(x10741,x10742)+E(f239(x10741,x10743),f239(x10742,x10743))
% 198.24/198.43 [1075]~E(x10751,x10752)+E(f239(x10753,x10751),f239(x10753,x10752))
% 198.24/198.43 [1076]~E(x10761,x10762)+E(f874(x10761,x10763,x10764,x10765,x10766),f874(x10762,x10763,x10764,x10765,x10766))
% 198.24/198.43 [1077]~E(x10771,x10772)+E(f874(x10773,x10771,x10774,x10775,x10776),f874(x10773,x10772,x10774,x10775,x10776))
% 198.24/198.43 [1078]~E(x10781,x10782)+E(f874(x10783,x10784,x10781,x10785,x10786),f874(x10783,x10784,x10782,x10785,x10786))
% 198.24/198.43 [1079]~E(x10791,x10792)+E(f874(x10793,x10794,x10795,x10791,x10796),f874(x10793,x10794,x10795,x10792,x10796))
% 198.24/198.43 [1080]~E(x10801,x10802)+E(f874(x10803,x10804,x10805,x10806,x10801),f874(x10803,x10804,x10805,x10806,x10802))
% 198.24/198.43 [1081]~E(x10811,x10812)+E(f551(x10811,x10813,x10814),f551(x10812,x10813,x10814))
% 198.24/198.43 [1082]~E(x10821,x10822)+E(f551(x10823,x10821,x10824),f551(x10823,x10822,x10824))
% 198.24/198.43 [1083]~E(x10831,x10832)+E(f551(x10833,x10834,x10831),f551(x10833,x10834,x10832))
% 198.24/198.43 [1084]~E(x10841,x10842)+E(f505(x10841,x10843,x10844),f505(x10842,x10843,x10844))
% 198.24/198.43 [1085]~E(x10851,x10852)+E(f505(x10853,x10851,x10854),f505(x10853,x10852,x10854))
% 198.24/198.43 [1086]~E(x10861,x10862)+E(f505(x10863,x10864,x10861),f505(x10863,x10864,x10862))
% 198.24/198.43 [1087]~E(x10871,x10872)+E(f402(x10871,x10873,x10874,x10875),f402(x10872,x10873,x10874,x10875))
% 198.24/198.43 [1088]~E(x10881,x10882)+E(f402(x10883,x10881,x10884,x10885),f402(x10883,x10882,x10884,x10885))
% 198.24/198.43 [1089]~E(x10891,x10892)+E(f402(x10893,x10894,x10891,x10895),f402(x10893,x10894,x10892,x10895))
% 198.24/198.43 [1090]~E(x10901,x10902)+E(f402(x10903,x10904,x10905,x10901),f402(x10903,x10904,x10905,x10902))
% 198.24/198.43 [1091]~E(x10911,x10912)+E(f222(x10911,x10913,x10914,x10915),f222(x10912,x10913,x10914,x10915))
% 198.24/198.43 [1092]~E(x10921,x10922)+E(f222(x10923,x10921,x10924,x10925),f222(x10923,x10922,x10924,x10925))
% 198.24/198.43 [1093]~E(x10931,x10932)+E(f222(x10933,x10934,x10931,x10935),f222(x10933,x10934,x10932,x10935))
% 198.24/198.43 [1094]~E(x10941,x10942)+E(f222(x10943,x10944,x10945,x10941),f222(x10943,x10944,x10945,x10942))
% 198.24/198.43 [1095]~E(x10951,x10952)+E(f812(x10951,x10953,x10954,x10955),f812(x10952,x10953,x10954,x10955))
% 198.24/198.43 [1096]~E(x10961,x10962)+E(f812(x10963,x10961,x10964,x10965),f812(x10963,x10962,x10964,x10965))
% 198.24/198.43 [1097]~E(x10971,x10972)+E(f812(x10973,x10974,x10971,x10975),f812(x10973,x10974,x10972,x10975))
% 198.24/198.43 [1098]~E(x10981,x10982)+E(f812(x10983,x10984,x10985,x10981),f812(x10983,x10984,x10985,x10982))
% 198.24/198.43 [1099]~E(x10991,x10992)+E(f215(x10991,x10993),f215(x10992,x10993))
% 198.24/198.43 [1100]~E(x11001,x11002)+E(f215(x11003,x11001),f215(x11003,x11002))
% 198.24/198.43 [1101]~E(x11011,x11012)+E(f843(x11011,x11013,x11014,x11015,x11016),f843(x11012,x11013,x11014,x11015,x11016))
% 198.24/198.43 [1102]~E(x11021,x11022)+E(f843(x11023,x11021,x11024,x11025,x11026),f843(x11023,x11022,x11024,x11025,x11026))
% 198.24/198.43 [1103]~E(x11031,x11032)+E(f843(x11033,x11034,x11031,x11035,x11036),f843(x11033,x11034,x11032,x11035,x11036))
% 198.24/198.43 [1104]~E(x11041,x11042)+E(f843(x11043,x11044,x11045,x11041,x11046),f843(x11043,x11044,x11045,x11042,x11046))
% 198.24/198.43 [1105]~E(x11051,x11052)+E(f843(x11053,x11054,x11055,x11056,x11051),f843(x11053,x11054,x11055,x11056,x11052))
% 198.24/198.43 [1106]~E(x11061,x11062)+E(f773(x11061,x11063,x11064,x11065),f773(x11062,x11063,x11064,x11065))
% 198.24/198.43 [1107]~E(x11071,x11072)+E(f773(x11073,x11071,x11074,x11075),f773(x11073,x11072,x11074,x11075))
% 198.24/198.43 [1108]~E(x11081,x11082)+E(f773(x11083,x11084,x11081,x11085),f773(x11083,x11084,x11082,x11085))
% 198.24/198.43 [1109]~E(x11091,x11092)+E(f773(x11093,x11094,x11095,x11091),f773(x11093,x11094,x11095,x11092))
% 198.24/198.43 [1110]~E(x11101,x11102)+E(f618(x11101,x11103,x11104,x11105,x11106),f618(x11102,x11103,x11104,x11105,x11106))
% 198.24/198.43 [1111]~E(x11111,x11112)+E(f618(x11113,x11111,x11114,x11115,x11116),f618(x11113,x11112,x11114,x11115,x11116))
% 198.24/198.43 [1112]~E(x11121,x11122)+E(f618(x11123,x11124,x11121,x11125,x11126),f618(x11123,x11124,x11122,x11125,x11126))
% 198.24/198.43 [1113]~E(x11131,x11132)+E(f618(x11133,x11134,x11135,x11131,x11136),f618(x11133,x11134,x11135,x11132,x11136))
% 198.24/198.43 [1114]~E(x11141,x11142)+E(f618(x11143,x11144,x11145,x11146,x11141),f618(x11143,x11144,x11145,x11146,x11142))
% 198.24/198.43 [1115]~E(x11151,x11152)+E(f476(x11151,x11153,x11154),f476(x11152,x11153,x11154))
% 198.24/198.43 [1116]~E(x11161,x11162)+E(f476(x11163,x11161,x11164),f476(x11163,x11162,x11164))
% 198.24/198.43 [1117]~E(x11171,x11172)+E(f476(x11173,x11174,x11171),f476(x11173,x11174,x11172))
% 198.24/198.43 [1118]~E(x11181,x11182)+E(f319(x11181,x11183,x11184),f319(x11182,x11183,x11184))
% 198.24/198.43 [1119]~E(x11191,x11192)+E(f319(x11193,x11191,x11194),f319(x11193,x11192,x11194))
% 198.24/198.43 [1120]~E(x11201,x11202)+E(f319(x11203,x11204,x11201),f319(x11203,x11204,x11202))
% 198.24/198.43 [1121]~E(x11211,x11212)+E(f634(x11211,x11213,x11214),f634(x11212,x11213,x11214))
% 198.24/198.43 [1122]~E(x11221,x11222)+E(f634(x11223,x11221,x11224),f634(x11223,x11222,x11224))
% 198.24/198.43 [1123]~E(x11231,x11232)+E(f634(x11233,x11234,x11231),f634(x11233,x11234,x11232))
% 198.24/198.43 [1124]~E(x11241,x11242)+E(f851(x11241,x11243,x11244),f851(x11242,x11243,x11244))
% 198.24/198.43 [1125]~E(x11251,x11252)+E(f851(x11253,x11251,x11254),f851(x11253,x11252,x11254))
% 198.24/198.43 [1126]~E(x11261,x11262)+E(f851(x11263,x11264,x11261),f851(x11263,x11264,x11262))
% 198.24/198.43 [1127]~E(x11271,x11272)+E(f811(x11271,x11273,x11274,x11275),f811(x11272,x11273,x11274,x11275))
% 198.24/198.43 [1128]~E(x11281,x11282)+E(f811(x11283,x11281,x11284,x11285),f811(x11283,x11282,x11284,x11285))
% 198.24/198.43 [1129]~E(x11291,x11292)+E(f811(x11293,x11294,x11291,x11295),f811(x11293,x11294,x11292,x11295))
% 198.24/198.43 [1130]~E(x11301,x11302)+E(f811(x11303,x11304,x11305,x11301),f811(x11303,x11304,x11305,x11302))
% 198.24/198.43 [1131]~E(x11311,x11312)+E(f231(x11311,x11313),f231(x11312,x11313))
% 198.24/198.43 [1132]~E(x11321,x11322)+E(f231(x11323,x11321),f231(x11323,x11322))
% 198.24/198.43 [1133]~E(x11331,x11332)+E(f165(x11331,x11333,x11334,x11335),f165(x11332,x11333,x11334,x11335))
% 198.24/198.43 [1134]~E(x11341,x11342)+E(f165(x11343,x11341,x11344,x11345),f165(x11343,x11342,x11344,x11345))
% 198.24/198.43 [1135]~E(x11351,x11352)+E(f165(x11353,x11354,x11351,x11355),f165(x11353,x11354,x11352,x11355))
% 198.24/198.43 [1136]~E(x11361,x11362)+E(f165(x11363,x11364,x11365,x11361),f165(x11363,x11364,x11365,x11362))
% 198.24/198.43 [1137]~E(x11371,x11372)+E(f609(x11371,x11373),f609(x11372,x11373))
% 198.24/198.43 [1138]~E(x11381,x11382)+E(f609(x11383,x11381),f609(x11383,x11382))
% 198.24/198.43 [1139]~E(x11391,x11392)+E(f684(x11391,x11393,x11394),f684(x11392,x11393,x11394))
% 198.24/198.43 [1140]~E(x11401,x11402)+E(f684(x11403,x11401,x11404),f684(x11403,x11402,x11404))
% 198.24/198.43 [1141]~E(x11411,x11412)+E(f684(x11413,x11414,x11411),f684(x11413,x11414,x11412))
% 198.24/198.43 [1142]~E(x11421,x11422)+E(f490(x11421,x11423,x11424),f490(x11422,x11423,x11424))
% 198.24/198.43 [1143]~E(x11431,x11432)+E(f490(x11433,x11431,x11434),f490(x11433,x11432,x11434))
% 198.24/198.43 [1144]~E(x11441,x11442)+E(f490(x11443,x11444,x11441),f490(x11443,x11444,x11442))
% 198.24/198.43 [1145]~E(x11451,x11452)+E(f569(x11451,x11453,x11454,x11455),f569(x11452,x11453,x11454,x11455))
% 198.24/198.43 [1146]~E(x11461,x11462)+E(f569(x11463,x11461,x11464,x11465),f569(x11463,x11462,x11464,x11465))
% 198.24/198.43 [1147]~E(x11471,x11472)+E(f569(x11473,x11474,x11471,x11475),f569(x11473,x11474,x11472,x11475))
% 198.24/198.43 [1148]~E(x11481,x11482)+E(f569(x11483,x11484,x11485,x11481),f569(x11483,x11484,x11485,x11482))
% 198.24/198.43 [1149]~E(x11491,x11492)+E(f204(x11491,x11493,x11494,x11495),f204(x11492,x11493,x11494,x11495))
% 198.24/198.43 [1150]~E(x11501,x11502)+E(f204(x11503,x11501,x11504,x11505),f204(x11503,x11502,x11504,x11505))
% 198.24/198.43 [1151]~E(x11511,x11512)+E(f204(x11513,x11514,x11511,x11515),f204(x11513,x11514,x11512,x11515))
% 198.24/198.43 [1152]~E(x11521,x11522)+E(f204(x11523,x11524,x11525,x11521),f204(x11523,x11524,x11525,x11522))
% 198.24/198.43 [1153]~E(x11531,x11532)+E(f296(x11531,x11533),f296(x11532,x11533))
% 198.24/198.43 [1154]~E(x11541,x11542)+E(f296(x11543,x11541),f296(x11543,x11542))
% 198.24/198.43 [1155]~E(x11551,x11552)+E(f433(x11551,x11553,x11554,x11555),f433(x11552,x11553,x11554,x11555))
% 198.24/198.43 [1156]~E(x11561,x11562)+E(f433(x11563,x11561,x11564,x11565),f433(x11563,x11562,x11564,x11565))
% 198.24/198.43 [1157]~E(x11571,x11572)+E(f433(x11573,x11574,x11571,x11575),f433(x11573,x11574,x11572,x11575))
% 198.24/198.43 [1158]~E(x11581,x11582)+E(f433(x11583,x11584,x11585,x11581),f433(x11583,x11584,x11585,x11582))
% 198.24/198.43 [1159]~E(x11591,x11592)+E(f440(x11591,x11593),f440(x11592,x11593))
% 198.24/198.43 [1160]~E(x11601,x11602)+E(f440(x11603,x11601),f440(x11603,x11602))
% 198.24/198.43 [1161]~E(x11611,x11612)+E(f810(x11611,x11613,x11614,x11615),f810(x11612,x11613,x11614,x11615))
% 198.24/198.43 [1162]~E(x11621,x11622)+E(f810(x11623,x11621,x11624,x11625),f810(x11623,x11622,x11624,x11625))
% 198.24/198.43 [1163]~E(x11631,x11632)+E(f810(x11633,x11634,x11631,x11635),f810(x11633,x11634,x11632,x11635))
% 198.24/198.43 [1164]~E(x11641,x11642)+E(f810(x11643,x11644,x11645,x11641),f810(x11643,x11644,x11645,x11642))
% 198.24/198.43 [1165]~E(x11651,x11652)+E(f711(x11651,x11653,x11654,x11655,x11656),f711(x11652,x11653,x11654,x11655,x11656))
% 198.24/198.43 [1166]~E(x11661,x11662)+E(f711(x11663,x11661,x11664,x11665,x11666),f711(x11663,x11662,x11664,x11665,x11666))
% 198.24/198.43 [1167]~E(x11671,x11672)+E(f711(x11673,x11674,x11671,x11675,x11676),f711(x11673,x11674,x11672,x11675,x11676))
% 198.24/198.43 [1168]~E(x11681,x11682)+E(f711(x11683,x11684,x11685,x11681,x11686),f711(x11683,x11684,x11685,x11682,x11686))
% 198.24/198.43 [1169]~E(x11691,x11692)+E(f711(x11693,x11694,x11695,x11696,x11691),f711(x11693,x11694,x11695,x11696,x11692))
% 198.24/198.43 [1170]~E(x11701,x11702)+E(f747(x11701,x11703,x11704,x11705),f747(x11702,x11703,x11704,x11705))
% 198.24/198.43 [1171]~E(x11711,x11712)+E(f747(x11713,x11711,x11714,x11715),f747(x11713,x11712,x11714,x11715))
% 198.24/198.43 [1172]~E(x11721,x11722)+E(f747(x11723,x11724,x11721,x11725),f747(x11723,x11724,x11722,x11725))
% 198.24/198.43 [1173]~E(x11731,x11732)+E(f747(x11733,x11734,x11735,x11731),f747(x11733,x11734,x11735,x11732))
% 198.24/198.43 [1174]~E(x11741,x11742)+E(f588(x11741,x11743,x11744,x11745,x11746,x11747,x11748,x11749),f588(x11742,x11743,x11744,x11745,x11746,x11747,x11748,x11749))
% 198.24/198.43 [1175]~E(x11751,x11752)+E(f588(x11753,x11751,x11754,x11755,x11756,x11757,x11758,x11759),f588(x11753,x11752,x11754,x11755,x11756,x11757,x11758,x11759))
% 198.24/198.43 [1176]~E(x11761,x11762)+E(f588(x11763,x11764,x11761,x11765,x11766,x11767,x11768,x11769),f588(x11763,x11764,x11762,x11765,x11766,x11767,x11768,x11769))
% 198.24/198.43 [1177]~E(x11771,x11772)+E(f588(x11773,x11774,x11775,x11771,x11776,x11777,x11778,x11779),f588(x11773,x11774,x11775,x11772,x11776,x11777,x11778,x11779))
% 198.24/198.43 [1178]~E(x11781,x11782)+E(f588(x11783,x11784,x11785,x11786,x11781,x11787,x11788,x11789),f588(x11783,x11784,x11785,x11786,x11782,x11787,x11788,x11789))
% 198.24/198.43 [1179]~E(x11791,x11792)+E(f588(x11793,x11794,x11795,x11796,x11797,x11791,x11798,x11799),f588(x11793,x11794,x11795,x11796,x11797,x11792,x11798,x11799))
% 198.24/198.43 [1180]~E(x11801,x11802)+E(f588(x11803,x11804,x11805,x11806,x11807,x11808,x11801,x11809),f588(x11803,x11804,x11805,x11806,x11807,x11808,x11802,x11809))
% 198.24/198.43 [1181]~E(x11811,x11812)+E(f588(x11813,x11814,x11815,x11816,x11817,x11818,x11819,x11811),f588(x11813,x11814,x11815,x11816,x11817,x11818,x11819,x11812))
% 198.24/198.43 [1182]~E(x11821,x11822)+E(f511(x11821,x11823,x11824,x11825,x11826,x11827,x11828),f511(x11822,x11823,x11824,x11825,x11826,x11827,x11828))
% 198.24/198.43 [1183]~E(x11831,x11832)+E(f511(x11833,x11831,x11834,x11835,x11836,x11837,x11838),f511(x11833,x11832,x11834,x11835,x11836,x11837,x11838))
% 198.24/198.43 [1184]~E(x11841,x11842)+E(f511(x11843,x11844,x11841,x11845,x11846,x11847,x11848),f511(x11843,x11844,x11842,x11845,x11846,x11847,x11848))
% 198.24/198.43 [1185]~E(x11851,x11852)+E(f511(x11853,x11854,x11855,x11851,x11856,x11857,x11858),f511(x11853,x11854,x11855,x11852,x11856,x11857,x11858))
% 198.24/198.43 [1186]~E(x11861,x11862)+E(f511(x11863,x11864,x11865,x11866,x11861,x11867,x11868),f511(x11863,x11864,x11865,x11866,x11862,x11867,x11868))
% 198.24/198.43 [1187]~E(x11871,x11872)+E(f511(x11873,x11874,x11875,x11876,x11877,x11871,x11878),f511(x11873,x11874,x11875,x11876,x11877,x11872,x11878))
% 198.24/198.43 [1188]~E(x11881,x11882)+E(f511(x11883,x11884,x11885,x11886,x11887,x11888,x11881),f511(x11883,x11884,x11885,x11886,x11887,x11888,x11882))
% 198.24/198.43 [1189]~E(x11891,x11892)+E(f343(x11891),f343(x11892))
% 198.24/198.43 [1190]~E(x11901,x11902)+E(f243(x11901,x11903,x11904,x11905),f243(x11902,x11903,x11904,x11905))
% 198.24/198.43 [1191]~E(x11911,x11912)+E(f243(x11913,x11911,x11914,x11915),f243(x11913,x11912,x11914,x11915))
% 198.24/198.43 [1192]~E(x11921,x11922)+E(f243(x11923,x11924,x11921,x11925),f243(x11923,x11924,x11922,x11925))
% 198.24/198.43 [1193]~E(x11931,x11932)+E(f243(x11933,x11934,x11935,x11931),f243(x11933,x11934,x11935,x11932))
% 198.24/198.43 [1194]~E(x11941,x11942)+E(f735(x11941,x11943,x11944),f735(x11942,x11943,x11944))
% 198.24/198.43 [1195]~E(x11951,x11952)+E(f735(x11953,x11951,x11954),f735(x11953,x11952,x11954))
% 198.24/198.43 [1196]~E(x11961,x11962)+E(f735(x11963,x11964,x11961),f735(x11963,x11964,x11962))
% 198.24/198.43 [1197]~E(x11971,x11972)+E(f431(x11971,x11973,x11974),f431(x11972,x11973,x11974))
% 198.24/198.43 [1198]~E(x11981,x11982)+E(f431(x11983,x11981,x11984),f431(x11983,x11982,x11984))
% 198.24/198.43 [1199]~E(x11991,x11992)+E(f431(x11993,x11994,x11991),f431(x11993,x11994,x11992))
% 198.24/198.43 [1200]~E(x12001,x12002)+E(f542(x12001,x12003,x12004),f542(x12002,x12003,x12004))
% 198.24/198.43 [1201]~E(x12011,x12012)+E(f542(x12013,x12011,x12014),f542(x12013,x12012,x12014))
% 198.24/198.43 [1202]~E(x12021,x12022)+E(f542(x12023,x12024,x12021),f542(x12023,x12024,x12022))
% 198.24/198.43 [1203]~E(x12031,x12032)+E(f726(x12031,x12033,x12034),f726(x12032,x12033,x12034))
% 198.24/198.43 [1204]~E(x12041,x12042)+E(f726(x12043,x12041,x12044),f726(x12043,x12042,x12044))
% 198.24/198.43 [1205]~E(x12051,x12052)+E(f726(x12053,x12054,x12051),f726(x12053,x12054,x12052))
% 198.24/198.43 [1206]~E(x12061,x12062)+E(f127(x12061),f127(x12062))
% 198.24/198.43 [1207]~E(x12071,x12072)+E(f685(x12071,x12073,x12074),f685(x12072,x12073,x12074))
% 198.24/198.43 [1208]~E(x12081,x12082)+E(f685(x12083,x12081,x12084),f685(x12083,x12082,x12084))
% 198.24/198.43 [1209]~E(x12091,x12092)+E(f685(x12093,x12094,x12091),f685(x12093,x12094,x12092))
% 198.24/198.43 [1210]~E(x12101,x12102)+E(f761(x12101,x12103),f761(x12102,x12103))
% 198.24/198.43 [1211]~E(x12111,x12112)+E(f761(x12113,x12111),f761(x12113,x12112))
% 198.24/198.43 [1212]~E(x12121,x12122)+E(f322(x12121),f322(x12122))
% 198.24/198.43 [1213]~E(x12131,x12132)+E(f214(x12131),f214(x12132))
% 198.24/198.43 [1214]~E(x12141,x12142)+E(f863(x12141,x12143),f863(x12142,x12143))
% 198.24/198.43 [1215]~E(x12151,x12152)+E(f863(x12153,x12151),f863(x12153,x12152))
% 198.24/198.43 [1216]~E(x12161,x12162)+E(f707(x12161,x12163,x12164,x12165),f707(x12162,x12163,x12164,x12165))
% 198.24/198.43 [1217]~E(x12171,x12172)+E(f707(x12173,x12171,x12174,x12175),f707(x12173,x12172,x12174,x12175))
% 198.24/198.43 [1218]~E(x12181,x12182)+E(f707(x12183,x12184,x12181,x12185),f707(x12183,x12184,x12182,x12185))
% 198.24/198.43 [1219]~E(x12191,x12192)+E(f707(x12193,x12194,x12195,x12191),f707(x12193,x12194,x12195,x12192))
% 198.24/198.43 [1220]~E(x12201,x12202)+E(f526(x12201,x12203),f526(x12202,x12203))
% 198.24/198.43 [1221]~E(x12211,x12212)+E(f526(x12213,x12211),f526(x12213,x12212))
% 198.24/198.43 [1222]~E(x12221,x12222)+E(f795(x12221,x12223,x12224,x12225),f795(x12222,x12223,x12224,x12225))
% 198.24/198.43 [1223]~E(x12231,x12232)+E(f795(x12233,x12231,x12234,x12235),f795(x12233,x12232,x12234,x12235))
% 198.24/198.43 [1224]~E(x12241,x12242)+E(f795(x12243,x12244,x12241,x12245),f795(x12243,x12244,x12242,x12245))
% 198.24/198.43 [1225]~E(x12251,x12252)+E(f795(x12253,x12254,x12255,x12251),f795(x12253,x12254,x12255,x12252))
% 198.24/198.43 [1226]~E(x12261,x12262)+E(f767(x12261,x12263,x12264),f767(x12262,x12263,x12264))
% 198.24/198.43 [1227]~E(x12271,x12272)+E(f767(x12273,x12271,x12274),f767(x12273,x12272,x12274))
% 198.24/198.43 [1228]~E(x12281,x12282)+E(f767(x12283,x12284,x12281),f767(x12283,x12284,x12282))
% 198.24/198.43 [1229]~E(x12291,x12292)+E(f844(x12291,x12293,x12294,x12295,x12296),f844(x12292,x12293,x12294,x12295,x12296))
% 198.24/198.43 [1230]~E(x12301,x12302)+E(f844(x12303,x12301,x12304,x12305,x12306),f844(x12303,x12302,x12304,x12305,x12306))
% 198.24/198.43 [1231]~E(x12311,x12312)+E(f844(x12313,x12314,x12311,x12315,x12316),f844(x12313,x12314,x12312,x12315,x12316))
% 198.24/198.43 [1232]~E(x12321,x12322)+E(f844(x12323,x12324,x12325,x12321,x12326),f844(x12323,x12324,x12325,x12322,x12326))
% 198.24/198.43 [1233]~E(x12331,x12332)+E(f844(x12333,x12334,x12335,x12336,x12331),f844(x12333,x12334,x12335,x12336,x12332))
% 198.24/198.43 [1234]~E(x12341,x12342)+E(f392(x12341,x12343,x12344,x12345),f392(x12342,x12343,x12344,x12345))
% 198.24/198.43 [1235]~E(x12351,x12352)+E(f392(x12353,x12351,x12354,x12355),f392(x12353,x12352,x12354,x12355))
% 198.24/198.43 [1236]~E(x12361,x12362)+E(f392(x12363,x12364,x12361,x12365),f392(x12363,x12364,x12362,x12365))
% 198.24/198.43 [1237]~E(x12371,x12372)+E(f392(x12373,x12374,x12375,x12371),f392(x12373,x12374,x12375,x12372))
% 198.24/198.43 [1238]~E(x12381,x12382)+E(f228(x12381,x12383),f228(x12382,x12383))
% 198.24/198.43 [1239]~E(x12391,x12392)+E(f228(x12393,x12391),f228(x12393,x12392))
% 198.24/198.43 [1240]~E(x12401,x12402)+E(f704(x12401,x12403,x12404,x12405),f704(x12402,x12403,x12404,x12405))
% 198.24/198.43 [1241]~E(x12411,x12412)+E(f704(x12413,x12411,x12414,x12415),f704(x12413,x12412,x12414,x12415))
% 198.24/198.43 [1242]~E(x12421,x12422)+E(f704(x12423,x12424,x12421,x12425),f704(x12423,x12424,x12422,x12425))
% 198.24/198.43 [1243]~E(x12431,x12432)+E(f704(x12433,x12434,x12435,x12431),f704(x12433,x12434,x12435,x12432))
% 198.24/198.43 [1244]~E(x12441,x12442)+E(f128(x12441,x12443),f128(x12442,x12443))
% 198.24/198.43 [1245]~E(x12451,x12452)+E(f128(x12453,x12451),f128(x12453,x12452))
% 198.24/198.43 [1246]~E(x12461,x12462)+E(f134(x12461,x12463),f134(x12462,x12463))
% 198.24/198.43 [1247]~E(x12471,x12472)+E(f134(x12473,x12471),f134(x12473,x12472))
% 198.24/198.43 [1248]~E(x12481,x12482)+E(f248(x12481),f248(x12482))
% 198.24/198.43 [1249]~E(x12491,x12492)+E(f577(x12491,x12493,x12494),f577(x12492,x12493,x12494))
% 198.24/198.43 [1250]~E(x12501,x12502)+E(f577(x12503,x12501,x12504),f577(x12503,x12502,x12504))
% 198.24/198.43 [1251]~E(x12511,x12512)+E(f577(x12513,x12514,x12511),f577(x12513,x12514,x12512))
% 198.24/198.43 [1252]~E(x12521,x12522)+E(f799(x12521,x12523,x12524),f799(x12522,x12523,x12524))
% 198.24/198.43 [1253]~E(x12531,x12532)+E(f799(x12533,x12531,x12534),f799(x12533,x12532,x12534))
% 198.24/198.43 [1254]~E(x12541,x12542)+E(f799(x12543,x12544,x12541),f799(x12543,x12544,x12542))
% 198.24/198.43 [1255]~E(x12551,x12552)+E(f60(x12551,x12553,x12554,x12555),f60(x12552,x12553,x12554,x12555))
% 198.24/198.43 [1256]~E(x12561,x12562)+E(f60(x12563,x12561,x12564,x12565),f60(x12563,x12562,x12564,x12565))
% 198.24/198.43 [1257]~E(x12571,x12572)+E(f60(x12573,x12574,x12571,x12575),f60(x12573,x12574,x12572,x12575))
% 198.24/198.43 [1258]~E(x12581,x12582)+E(f60(x12583,x12584,x12585,x12581),f60(x12583,x12584,x12585,x12582))
% 198.24/198.43 [1259]~E(x12591,x12592)+E(f682(x12591,x12593),f682(x12592,x12593))
% 198.24/198.43 [1260]~E(x12601,x12602)+E(f682(x12603,x12601),f682(x12603,x12602))
% 198.24/198.43 [1261]~E(x12611,x12612)+E(f717(x12611,x12613,x12614),f717(x12612,x12613,x12614))
% 198.24/198.43 [1262]~E(x12621,x12622)+E(f717(x12623,x12621,x12624),f717(x12623,x12622,x12624))
% 198.24/198.43 [1263]~E(x12631,x12632)+E(f717(x12633,x12634,x12631),f717(x12633,x12634,x12632))
% 198.24/198.43 [1264]~E(x12641,x12642)+E(f665(x12641,x12643,x12644),f665(x12642,x12643,x12644))
% 198.24/198.43 [1265]~E(x12651,x12652)+E(f665(x12653,x12651,x12654),f665(x12653,x12652,x12654))
% 198.24/198.43 [1266]~E(x12661,x12662)+E(f665(x12663,x12664,x12661),f665(x12663,x12664,x12662))
% 198.24/198.43 [1267]~E(x12671,x12672)+E(f69(x12671,x12673,x12674),f69(x12672,x12673,x12674))
% 198.24/198.43 [1268]~E(x12681,x12682)+E(f69(x12683,x12681,x12684),f69(x12683,x12682,x12684))
% 198.24/198.43 [1269]~E(x12691,x12692)+E(f69(x12693,x12694,x12691),f69(x12693,x12694,x12692))
% 198.24/198.43 [1270]~E(x12701,x12702)+E(f219(x12701,x12703,x12704,x12705),f219(x12702,x12703,x12704,x12705))
% 198.24/198.43 [1271]~E(x12711,x12712)+E(f219(x12713,x12711,x12714,x12715),f219(x12713,x12712,x12714,x12715))
% 198.24/198.43 [1272]~E(x12721,x12722)+E(f219(x12723,x12724,x12721,x12725),f219(x12723,x12724,x12722,x12725))
% 198.24/198.43 [1273]~E(x12731,x12732)+E(f219(x12733,x12734,x12735,x12731),f219(x12733,x12734,x12735,x12732))
% 198.24/198.43 [1274]~E(x12741,x12742)+E(f492(x12741,x12743,x12744),f492(x12742,x12743,x12744))
% 198.24/198.43 [1275]~E(x12751,x12752)+E(f492(x12753,x12751,x12754),f492(x12753,x12752,x12754))
% 198.24/198.43 [1276]~E(x12761,x12762)+E(f492(x12763,x12764,x12761),f492(x12763,x12764,x12762))
% 198.24/198.43 [1277]~E(x12771,x12772)+E(f386(x12771,x12773,x12774,x12775),f386(x12772,x12773,x12774,x12775))
% 198.24/198.43 [1278]~E(x12781,x12782)+E(f386(x12783,x12781,x12784,x12785),f386(x12783,x12782,x12784,x12785))
% 198.24/198.43 [1279]~E(x12791,x12792)+E(f386(x12793,x12794,x12791,x12795),f386(x12793,x12794,x12792,x12795))
% 198.24/198.43 [1280]~E(x12801,x12802)+E(f386(x12803,x12804,x12805,x12801),f386(x12803,x12804,x12805,x12802))
% 198.24/198.43 [1281]~E(x12811,x12812)+E(f133(x12811,x12813,x12814,x12815),f133(x12812,x12813,x12814,x12815))
% 198.24/198.43 [1282]~E(x12821,x12822)+E(f133(x12823,x12821,x12824,x12825),f133(x12823,x12822,x12824,x12825))
% 198.24/198.43 [1283]~E(x12831,x12832)+E(f133(x12833,x12834,x12831,x12835),f133(x12833,x12834,x12832,x12835))
% 198.24/198.43 [1284]~E(x12841,x12842)+E(f133(x12843,x12844,x12845,x12841),f133(x12843,x12844,x12845,x12842))
% 198.24/198.43 [1285]~E(x12851,x12852)+E(f44(x12851),f44(x12852))
% 198.24/198.43 [1286]~E(x12861,x12862)+E(f637(x12861,x12863,x12864,x12865,x12866,x12867,x12868,x12869),f637(x12862,x12863,x12864,x12865,x12866,x12867,x12868,x12869))
% 198.24/198.43 [1287]~E(x12871,x12872)+E(f637(x12873,x12871,x12874,x12875,x12876,x12877,x12878,x12879),f637(x12873,x12872,x12874,x12875,x12876,x12877,x12878,x12879))
% 198.24/198.43 [1288]~E(x12881,x12882)+E(f637(x12883,x12884,x12881,x12885,x12886,x12887,x12888,x12889),f637(x12883,x12884,x12882,x12885,x12886,x12887,x12888,x12889))
% 198.24/198.43 [1289]~E(x12891,x12892)+E(f637(x12893,x12894,x12895,x12891,x12896,x12897,x12898,x12899),f637(x12893,x12894,x12895,x12892,x12896,x12897,x12898,x12899))
% 198.24/198.43 [1290]~E(x12901,x12902)+E(f637(x12903,x12904,x12905,x12906,x12901,x12907,x12908,x12909),f637(x12903,x12904,x12905,x12906,x12902,x12907,x12908,x12909))
% 198.24/198.43 [1291]~E(x12911,x12912)+E(f637(x12913,x12914,x12915,x12916,x12917,x12911,x12918,x12919),f637(x12913,x12914,x12915,x12916,x12917,x12912,x12918,x12919))
% 198.24/198.43 [1292]~E(x12921,x12922)+E(f637(x12923,x12924,x12925,x12926,x12927,x12928,x12921,x12929),f637(x12923,x12924,x12925,x12926,x12927,x12928,x12922,x12929))
% 198.24/198.43 [1293]~E(x12931,x12932)+E(f637(x12933,x12934,x12935,x12936,x12937,x12938,x12939,x12931),f637(x12933,x12934,x12935,x12936,x12937,x12938,x12939,x12932))
% 198.24/198.43 [1294]~E(x12941,x12942)+E(f833(x12941,x12943,x12944,x12945),f833(x12942,x12943,x12944,x12945))
% 198.24/198.43 [1295]~E(x12951,x12952)+E(f833(x12953,x12951,x12954,x12955),f833(x12953,x12952,x12954,x12955))
% 198.24/198.43 [1296]~E(x12961,x12962)+E(f833(x12963,x12964,x12961,x12965),f833(x12963,x12964,x12962,x12965))
% 198.24/198.43 [1297]~E(x12971,x12972)+E(f833(x12973,x12974,x12975,x12971),f833(x12973,x12974,x12975,x12972))
% 198.24/198.43 [1298]~E(x12981,x12982)+E(f430(x12981,x12983,x12984,x12985,x12986,x12987),f430(x12982,x12983,x12984,x12985,x12986,x12987))
% 198.24/198.43 [1299]~E(x12991,x12992)+E(f430(x12993,x12991,x12994,x12995,x12996,x12997),f430(x12993,x12992,x12994,x12995,x12996,x12997))
% 198.24/198.43 [1300]~E(x13001,x13002)+E(f430(x13003,x13004,x13001,x13005,x13006,x13007),f430(x13003,x13004,x13002,x13005,x13006,x13007))
% 198.24/198.43 [1301]~E(x13011,x13012)+E(f430(x13013,x13014,x13015,x13011,x13016,x13017),f430(x13013,x13014,x13015,x13012,x13016,x13017))
% 198.24/198.43 [1302]~E(x13021,x13022)+E(f430(x13023,x13024,x13025,x13026,x13021,x13027),f430(x13023,x13024,x13025,x13026,x13022,x13027))
% 198.24/198.43 [1303]~E(x13031,x13032)+E(f430(x13033,x13034,x13035,x13036,x13037,x13031),f430(x13033,x13034,x13035,x13036,x13037,x13032))
% 198.24/198.43 [1304]~E(x13041,x13042)+E(f212(x13041,x13043),f212(x13042,x13043))
% 198.24/198.43 [1305]~E(x13051,x13052)+E(f212(x13053,x13051),f212(x13053,x13052))
% 198.24/198.43 [1306]~E(x13061,x13062)+E(f420(x13061,x13063,x13064,x13065,x13066),f420(x13062,x13063,x13064,x13065,x13066))
% 198.24/198.43 [1307]~E(x13071,x13072)+E(f420(x13073,x13071,x13074,x13075,x13076),f420(x13073,x13072,x13074,x13075,x13076))
% 198.24/198.43 [1308]~E(x13081,x13082)+E(f420(x13083,x13084,x13081,x13085,x13086),f420(x13083,x13084,x13082,x13085,x13086))
% 198.24/198.43 [1309]~E(x13091,x13092)+E(f420(x13093,x13094,x13095,x13091,x13096),f420(x13093,x13094,x13095,x13092,x13096))
% 198.24/198.43 [1310]~E(x13101,x13102)+E(f420(x13103,x13104,x13105,x13106,x13101),f420(x13103,x13104,x13105,x13106,x13102))
% 198.24/198.43 [1311]~E(x13111,x13112)+E(f129(x13111),f129(x13112))
% 198.24/198.43 [1312]~E(x13121,x13122)+E(f330(x13121,x13123,x13124,x13125),f330(x13122,x13123,x13124,x13125))
% 198.24/198.43 [1313]~E(x13131,x13132)+E(f330(x13133,x13131,x13134,x13135),f330(x13133,x13132,x13134,x13135))
% 198.24/198.43 [1314]~E(x13141,x13142)+E(f330(x13143,x13144,x13141,x13145),f330(x13143,x13144,x13142,x13145))
% 198.24/198.43 [1315]~E(x13151,x13152)+E(f330(x13153,x13154,x13155,x13151),f330(x13153,x13154,x13155,x13152))
% 198.24/198.43 [1316]~E(x13161,x13162)+E(f706(x13161,x13163,x13164,x13165),f706(x13162,x13163,x13164,x13165))
% 198.24/198.43 [1317]~E(x13171,x13172)+E(f706(x13173,x13171,x13174,x13175),f706(x13173,x13172,x13174,x13175))
% 198.24/198.43 [1318]~E(x13181,x13182)+E(f706(x13183,x13184,x13181,x13185),f706(x13183,x13184,x13182,x13185))
% 198.24/198.43 [1319]~E(x13191,x13192)+E(f706(x13193,x13194,x13195,x13191),f706(x13193,x13194,x13195,x13192))
% 198.24/198.43 [1320]~E(x13201,x13202)+E(f702(x13201,x13203,x13204,x13205,x13206),f702(x13202,x13203,x13204,x13205,x13206))
% 198.24/198.43 [1321]~E(x13211,x13212)+E(f702(x13213,x13211,x13214,x13215,x13216),f702(x13213,x13212,x13214,x13215,x13216))
% 198.24/198.43 [1322]~E(x13221,x13222)+E(f702(x13223,x13224,x13221,x13225,x13226),f702(x13223,x13224,x13222,x13225,x13226))
% 198.24/198.43 [1323]~E(x13231,x13232)+E(f702(x13233,x13234,x13235,x13231,x13236),f702(x13233,x13234,x13235,x13232,x13236))
% 198.24/198.43 [1324]~E(x13241,x13242)+E(f702(x13243,x13244,x13245,x13246,x13241),f702(x13243,x13244,x13245,x13246,x13242))
% 198.24/198.43 [1325]~E(x13251,x13252)+E(f388(x13251,x13253,x13254,x13255),f388(x13252,x13253,x13254,x13255))
% 198.24/198.43 [1326]~E(x13261,x13262)+E(f388(x13263,x13261,x13264,x13265),f388(x13263,x13262,x13264,x13265))
% 198.24/198.43 [1327]~E(x13271,x13272)+E(f388(x13273,x13274,x13271,x13275),f388(x13273,x13274,x13272,x13275))
% 198.24/198.43 [1328]~E(x13281,x13282)+E(f388(x13283,x13284,x13285,x13281),f388(x13283,x13284,x13285,x13282))
% 198.24/198.43 [1329]~E(x13291,x13292)+E(f404(x13291,x13293,x13294),f404(x13292,x13293,x13294))
% 198.24/198.43 [1330]~E(x13301,x13302)+E(f404(x13303,x13301,x13304),f404(x13303,x13302,x13304))
% 198.24/198.43 [1331]~E(x13311,x13312)+E(f404(x13313,x13314,x13311),f404(x13313,x13314,x13312))
% 198.24/198.43 [1332]~E(x13321,x13322)+E(f756(x13321,x13323,x13324,x13325),f756(x13322,x13323,x13324,x13325))
% 198.24/198.43 [1333]~E(x13331,x13332)+E(f756(x13333,x13331,x13334,x13335),f756(x13333,x13332,x13334,x13335))
% 198.24/198.43 [1334]~E(x13341,x13342)+E(f756(x13343,x13344,x13341,x13345),f756(x13343,x13344,x13342,x13345))
% 198.24/198.43 [1335]~E(x13351,x13352)+E(f756(x13353,x13354,x13355,x13351),f756(x13353,x13354,x13355,x13352))
% 198.24/198.43 [1336]~E(x13361,x13362)+E(f366(x13361,x13363),f366(x13362,x13363))
% 198.24/198.43 [1337]~E(x13371,x13372)+E(f366(x13373,x13371),f366(x13373,x13372))
% 198.24/198.43 [1338]~E(x13381,x13382)+E(f834(x13381,x13383,x13384),f834(x13382,x13383,x13384))
% 198.24/198.43 [1339]~E(x13391,x13392)+E(f834(x13393,x13391,x13394),f834(x13393,x13392,x13394))
% 198.24/198.43 [1340]~E(x13401,x13402)+E(f834(x13403,x13404,x13401),f834(x13403,x13404,x13402))
% 198.24/198.43 [1341]~E(x13411,x13412)+E(f194(x13411,x13413,x13414,x13415),f194(x13412,x13413,x13414,x13415))
% 198.24/198.43 [1342]~E(x13421,x13422)+E(f194(x13423,x13421,x13424,x13425),f194(x13423,x13422,x13424,x13425))
% 198.24/198.43 [1343]~E(x13431,x13432)+E(f194(x13433,x13434,x13431,x13435),f194(x13433,x13434,x13432,x13435))
% 198.24/198.43 [1344]~E(x13441,x13442)+E(f194(x13443,x13444,x13445,x13441),f194(x13443,x13444,x13445,x13442))
% 198.24/198.43 [1345]~E(x13451,x13452)+E(f814(x13451,x13453,x13454,x13455),f814(x13452,x13453,x13454,x13455))
% 198.24/198.43 [1346]~E(x13461,x13462)+E(f814(x13463,x13461,x13464,x13465),f814(x13463,x13462,x13464,x13465))
% 198.24/198.43 [1347]~E(x13471,x13472)+E(f814(x13473,x13474,x13471,x13475),f814(x13473,x13474,x13472,x13475))
% 198.24/198.43 [1348]~E(x13481,x13482)+E(f814(x13483,x13484,x13485,x13481),f814(x13483,x13484,x13485,x13482))
% 198.24/198.43 [1349]~E(x13491,x13492)+E(f396(x13491,x13493),f396(x13492,x13493))
% 198.24/198.43 [1350]~E(x13501,x13502)+E(f396(x13503,x13501),f396(x13503,x13502))
% 198.24/198.43 [1351]~E(x13511,x13512)+E(f418(x13511,x13513,x13514),f418(x13512,x13513,x13514))
% 198.24/198.43 [1352]~E(x13521,x13522)+E(f418(x13523,x13521,x13524),f418(x13523,x13522,x13524))
% 198.24/198.43 [1353]~E(x13531,x13532)+E(f418(x13533,x13534,x13531),f418(x13533,x13534,x13532))
% 198.24/198.43 [1354]~E(x13541,x13542)+E(f798(x13541,x13543,x13544),f798(x13542,x13543,x13544))
% 198.24/198.43 [1355]~E(x13551,x13552)+E(f798(x13553,x13551,x13554),f798(x13553,x13552,x13554))
% 198.24/198.43 [1356]~E(x13561,x13562)+E(f798(x13563,x13564,x13561),f798(x13563,x13564,x13562))
% 198.24/198.43 [1357]~E(x13571,x13572)+E(f176(x13571,x13573,x13574),f176(x13572,x13573,x13574))
% 198.24/198.43 [1358]~E(x13581,x13582)+E(f176(x13583,x13581,x13584),f176(x13583,x13582,x13584))
% 198.24/198.43 [1359]~E(x13591,x13592)+E(f176(x13593,x13594,x13591),f176(x13593,x13594,x13592))
% 198.24/198.43 [1360]~E(x13601,x13602)+E(f517(x13601,x13603,x13604),f517(x13602,x13603,x13604))
% 198.24/198.43 [1361]~E(x13611,x13612)+E(f517(x13613,x13611,x13614),f517(x13613,x13612,x13614))
% 198.24/198.43 [1362]~E(x13621,x13622)+E(f517(x13623,x13624,x13621),f517(x13623,x13624,x13622))
% 198.24/198.43 [1363]~E(x13631,x13632)+E(f456(x13631,x13633,x13634),f456(x13632,x13633,x13634))
% 198.24/198.43 [1364]~E(x13641,x13642)+E(f456(x13643,x13641,x13644),f456(x13643,x13642,x13644))
% 198.24/198.43 [1365]~E(x13651,x13652)+E(f456(x13653,x13654,x13651),f456(x13653,x13654,x13652))
% 198.24/198.43 [1366]~E(x13661,x13662)+E(f410(x13661,x13663,x13664,x13665),f410(x13662,x13663,x13664,x13665))
% 198.24/198.43 [1367]~E(x13671,x13672)+E(f410(x13673,x13671,x13674,x13675),f410(x13673,x13672,x13674,x13675))
% 198.24/198.43 [1368]~E(x13681,x13682)+E(f410(x13683,x13684,x13681,x13685),f410(x13683,x13684,x13682,x13685))
% 198.24/198.43 [1369]~E(x13691,x13692)+E(f410(x13693,x13694,x13695,x13691),f410(x13693,x13694,x13695,x13692))
% 198.24/198.43 [1370]~E(x13701,x13702)+E(f835(x13701,x13703),f835(x13702,x13703))
% 198.24/198.43 [1371]~E(x13711,x13712)+E(f835(x13713,x13711),f835(x13713,x13712))
% 198.24/198.43 [1372]~E(x13721,x13722)+E(f864(x13721,x13723),f864(x13722,x13723))
% 198.24/198.43 [1373]~E(x13731,x13732)+E(f864(x13733,x13731),f864(x13733,x13732))
% 198.24/198.43 [1374]~E(x13741,x13742)+E(f560(x13741,x13743,x13744,x13745),f560(x13742,x13743,x13744,x13745))
% 198.24/198.43 [1375]~E(x13751,x13752)+E(f560(x13753,x13751,x13754,x13755),f560(x13753,x13752,x13754,x13755))
% 198.24/198.43 [1376]~E(x13761,x13762)+E(f560(x13763,x13764,x13761,x13765),f560(x13763,x13764,x13762,x13765))
% 198.24/198.43 [1377]~E(x13771,x13772)+E(f560(x13773,x13774,x13775,x13771),f560(x13773,x13774,x13775,x13772))
% 198.24/198.43 [1378]~E(x13781,x13782)+E(f623(x13781,x13783,x13784,x13785,x13786),f623(x13782,x13783,x13784,x13785,x13786))
% 198.24/198.43 [1379]~E(x13791,x13792)+E(f623(x13793,x13791,x13794,x13795,x13796),f623(x13793,x13792,x13794,x13795,x13796))
% 198.24/198.43 [1380]~E(x13801,x13802)+E(f623(x13803,x13804,x13801,x13805,x13806),f623(x13803,x13804,x13802,x13805,x13806))
% 198.24/198.43 [1381]~E(x13811,x13812)+E(f623(x13813,x13814,x13815,x13811,x13816),f623(x13813,x13814,x13815,x13812,x13816))
% 198.24/198.43 [1382]~E(x13821,x13822)+E(f623(x13823,x13824,x13825,x13826,x13821),f623(x13823,x13824,x13825,x13826,x13822))
% 198.24/198.43 [1383]~E(x13831,x13832)+E(f774(x13831,x13833,x13834,x13835,x13836),f774(x13832,x13833,x13834,x13835,x13836))
% 198.24/198.43 [1384]~E(x13841,x13842)+E(f774(x13843,x13841,x13844,x13845,x13846),f774(x13843,x13842,x13844,x13845,x13846))
% 198.24/198.43 [1385]~E(x13851,x13852)+E(f774(x13853,x13854,x13851,x13855,x13856),f774(x13853,x13854,x13852,x13855,x13856))
% 198.24/198.43 [1386]~E(x13861,x13862)+E(f774(x13863,x13864,x13865,x13861,x13866),f774(x13863,x13864,x13865,x13862,x13866))
% 198.24/198.43 [1387]~E(x13871,x13872)+E(f774(x13873,x13874,x13875,x13876,x13871),f774(x13873,x13874,x13875,x13876,x13872))
% 198.24/198.43 [1388]~E(x13881,x13882)+E(f534(x13881,x13883,x13884,x13885),f534(x13882,x13883,x13884,x13885))
% 198.24/198.43 [1389]~E(x13891,x13892)+E(f534(x13893,x13891,x13894,x13895),f534(x13893,x13892,x13894,x13895))
% 198.24/198.43 [1390]~E(x13901,x13902)+E(f534(x13903,x13904,x13901,x13905),f534(x13903,x13904,x13902,x13905))
% 198.24/198.43 [1391]~E(x13911,x13912)+E(f534(x13913,x13914,x13915,x13911),f534(x13913,x13914,x13915,x13912))
% 198.24/198.43 [1392]~E(x13921,x13922)+E(f324(x13921,x13923,x13924,x13925),f324(x13922,x13923,x13924,x13925))
% 198.24/198.43 [1393]~E(x13931,x13932)+E(f324(x13933,x13931,x13934,x13935),f324(x13933,x13932,x13934,x13935))
% 198.24/198.43 [1394]~E(x13941,x13942)+E(f324(x13943,x13944,x13941,x13945),f324(x13943,x13944,x13942,x13945))
% 198.24/198.43 [1395]~E(x13951,x13952)+E(f324(x13953,x13954,x13955,x13951),f324(x13953,x13954,x13955,x13952))
% 198.24/198.43 [1396]~E(x13961,x13962)+E(f365(x13961,x13963),f365(x13962,x13963))
% 198.24/198.43 [1397]~E(x13971,x13972)+E(f365(x13973,x13971),f365(x13973,x13972))
% 198.24/198.43 [1398]~E(x13981,x13982)+E(f493(x13981,x13983,x13984),f493(x13982,x13983,x13984))
% 198.24/198.43 [1399]~E(x13991,x13992)+E(f493(x13993,x13991,x13994),f493(x13993,x13992,x13994))
% 198.24/198.43 [1400]~E(x14001,x14002)+E(f493(x14003,x14004,x14001),f493(x14003,x14004,x14002))
% 198.24/198.43 [1401]~E(x14011,x14012)+E(f536(x14011,x14013,x14014,x14015),f536(x14012,x14013,x14014,x14015))
% 198.24/198.43 [1402]~E(x14021,x14022)+E(f536(x14023,x14021,x14024,x14025),f536(x14023,x14022,x14024,x14025))
% 198.24/198.43 [1403]~E(x14031,x14032)+E(f536(x14033,x14034,x14031,x14035),f536(x14033,x14034,x14032,x14035))
% 198.24/198.43 [1404]~E(x14041,x14042)+E(f536(x14043,x14044,x14045,x14041),f536(x14043,x14044,x14045,x14042))
% 198.24/198.43 [1405]~E(x14051,x14052)+E(f370(x14051,x14053,x14054,x14055),f370(x14052,x14053,x14054,x14055))
% 198.24/198.43 [1406]~E(x14061,x14062)+E(f370(x14063,x14061,x14064,x14065),f370(x14063,x14062,x14064,x14065))
% 198.24/198.43 [1407]~E(x14071,x14072)+E(f370(x14073,x14074,x14071,x14075),f370(x14073,x14074,x14072,x14075))
% 198.24/198.43 [1408]~E(x14081,x14082)+E(f370(x14083,x14084,x14085,x14081),f370(x14083,x14084,x14085,x14082))
% 198.24/198.43 [1409]~E(x14091,x14092)+E(f589(x14091,x14093,x14094,x14095,x14096),f589(x14092,x14093,x14094,x14095,x14096))
% 198.24/198.43 [1410]~E(x14101,x14102)+E(f589(x14103,x14101,x14104,x14105,x14106),f589(x14103,x14102,x14104,x14105,x14106))
% 198.24/198.43 [1411]~E(x14111,x14112)+E(f589(x14113,x14114,x14111,x14115,x14116),f589(x14113,x14114,x14112,x14115,x14116))
% 198.24/198.43 [1412]~E(x14121,x14122)+E(f589(x14123,x14124,x14125,x14121,x14126),f589(x14123,x14124,x14125,x14122,x14126))
% 198.24/198.43 [1413]~E(x14131,x14132)+E(f589(x14133,x14134,x14135,x14136,x14131),f589(x14133,x14134,x14135,x14136,x14132))
% 198.24/198.43 [1414]~E(x14141,x14142)+E(f484(x14141,x14143,x14144),f484(x14142,x14143,x14144))
% 198.24/198.43 [1415]~E(x14151,x14152)+E(f484(x14153,x14151,x14154),f484(x14153,x14152,x14154))
% 198.24/198.43 [1416]~E(x14161,x14162)+E(f484(x14163,x14164,x14161),f484(x14163,x14164,x14162))
% 198.24/198.43 [1417]~E(x14171,x14172)+E(f444(x14171,x14173),f444(x14172,x14173))
% 198.24/198.43 [1418]~E(x14181,x14182)+E(f444(x14183,x14181),f444(x14183,x14182))
% 198.24/198.43 [1419]~E(x14191,x14192)+E(f142(x14191,x14193,x14194),f142(x14192,x14193,x14194))
% 198.24/198.43 [1420]~E(x14201,x14202)+E(f142(x14203,x14201,x14204),f142(x14203,x14202,x14204))
% 198.24/198.43 [1421]~E(x14211,x14212)+E(f142(x14213,x14214,x14211),f142(x14213,x14214,x14212))
% 198.24/198.43 [1422]~E(x14221,x14222)+E(f596(x14221,x14223,x14224,x14225,x14226),f596(x14222,x14223,x14224,x14225,x14226))
% 198.24/198.43 [1423]~E(x14231,x14232)+E(f596(x14233,x14231,x14234,x14235,x14236),f596(x14233,x14232,x14234,x14235,x14236))
% 198.24/198.43 [1424]~E(x14241,x14242)+E(f596(x14243,x14244,x14241,x14245,x14246),f596(x14243,x14244,x14242,x14245,x14246))
% 198.24/198.43 [1425]~E(x14251,x14252)+E(f596(x14253,x14254,x14255,x14251,x14256),f596(x14253,x14254,x14255,x14252,x14256))
% 198.24/198.43 [1426]~E(x14261,x14262)+E(f596(x14263,x14264,x14265,x14266,x14261),f596(x14263,x14264,x14265,x14266,x14262))
% 198.24/198.43 [1427]~E(x14271,x14272)+E(f376(x14271,x14273),f376(x14272,x14273))
% 198.24/198.43 [1428]~E(x14281,x14282)+E(f376(x14283,x14281),f376(x14283,x14282))
% 198.24/198.43 [1429]~E(x14291,x14292)+E(f744(x14291,x14293),f744(x14292,x14293))
% 198.24/198.43 [1430]~E(x14301,x14302)+E(f744(x14303,x14301),f744(x14303,x14302))
% 198.24/198.43 [1431]~E(x14311,x14312)+E(f768(x14311,x14313),f768(x14312,x14313))
% 198.24/198.43 [1432]~E(x14321,x14322)+E(f768(x14323,x14321),f768(x14323,x14322))
% 198.24/198.43 [1433]~E(x14331,x14332)+E(f602(x14331,x14333),f602(x14332,x14333))
% 198.24/198.43 [1434]~E(x14341,x14342)+E(f602(x14343,x14341),f602(x14343,x14342))
% 198.24/198.43 [1435]~E(x14351,x14352)+E(f805(x14351,x14353,x14354),f805(x14352,x14353,x14354))
% 198.24/198.43 [1436]~E(x14361,x14362)+E(f805(x14363,x14361,x14364),f805(x14363,x14362,x14364))
% 198.24/198.43 [1437]~E(x14371,x14372)+E(f805(x14373,x14374,x14371),f805(x14373,x14374,x14372))
% 198.24/198.43 [1438]~E(x14381,x14382)+E(f403(x14381,x14383),f403(x14382,x14383))
% 198.24/198.43 [1439]~E(x14391,x14392)+E(f403(x14393,x14391),f403(x14393,x14392))
% 198.24/198.43 [1440]~E(x14401,x14402)+E(f504(x14401,x14403,x14404,x14405),f504(x14402,x14403,x14404,x14405))
% 198.24/198.43 [1441]~E(x14411,x14412)+E(f504(x14413,x14411,x14414,x14415),f504(x14413,x14412,x14414,x14415))
% 198.24/198.43 [1442]~E(x14421,x14422)+E(f504(x14423,x14424,x14421,x14425),f504(x14423,x14424,x14422,x14425))
% 198.24/198.43 [1443]~E(x14431,x14432)+E(f504(x14433,x14434,x14435,x14431),f504(x14433,x14434,x14435,x14432))
% 198.24/198.43 [1444]~E(x14441,x14442)+E(f480(x14441,x14443,x14444,x14445,x14446,x14447,x14448),f480(x14442,x14443,x14444,x14445,x14446,x14447,x14448))
% 198.24/198.43 [1445]~E(x14451,x14452)+E(f480(x14453,x14451,x14454,x14455,x14456,x14457,x14458),f480(x14453,x14452,x14454,x14455,x14456,x14457,x14458))
% 198.24/198.43 [1446]~E(x14461,x14462)+E(f480(x14463,x14464,x14461,x14465,x14466,x14467,x14468),f480(x14463,x14464,x14462,x14465,x14466,x14467,x14468))
% 198.24/198.43 [1447]~E(x14471,x14472)+E(f480(x14473,x14474,x14475,x14471,x14476,x14477,x14478),f480(x14473,x14474,x14475,x14472,x14476,x14477,x14478))
% 198.24/198.43 [1448]~E(x14481,x14482)+E(f480(x14483,x14484,x14485,x14486,x14481,x14487,x14488),f480(x14483,x14484,x14485,x14486,x14482,x14487,x14488))
% 198.24/198.43 [1449]~E(x14491,x14492)+E(f480(x14493,x14494,x14495,x14496,x14497,x14491,x14498),f480(x14493,x14494,x14495,x14496,x14497,x14492,x14498))
% 198.24/198.43 [1450]~E(x14501,x14502)+E(f480(x14503,x14504,x14505,x14506,x14507,x14508,x14501),f480(x14503,x14504,x14505,x14506,x14507,x14508,x14502))
% 198.24/198.43 [1451]~E(x14511,x14512)+E(f416(x14511,x14513),f416(x14512,x14513))
% 198.24/198.43 [1452]~E(x14521,x14522)+E(f416(x14523,x14521),f416(x14523,x14522))
% 198.24/198.43 [1453]~E(x14531,x14532)+E(f561(x14531,x14533,x14534),f561(x14532,x14533,x14534))
% 198.24/198.43 [1454]~E(x14541,x14542)+E(f561(x14543,x14541,x14544),f561(x14543,x14542,x14544))
% 198.24/198.43 [1455]~E(x14551,x14552)+E(f561(x14553,x14554,x14551),f561(x14553,x14554,x14552))
% 198.24/198.43 [1456]~E(x14561,x14562)+E(f760(x14561,x14563),f760(x14562,x14563))
% 198.24/198.43 [1457]~E(x14571,x14572)+E(f760(x14573,x14571),f760(x14573,x14572))
% 198.24/198.43 [1458]~E(x14581,x14582)+E(f145(x14581,x14583),f145(x14582,x14583))
% 198.24/198.43 [1459]~E(x14591,x14592)+E(f145(x14593,x14591),f145(x14593,x14592))
% 198.24/198.43 [1460]~E(x14601,x14602)+E(f700(x14601,x14603,x14604,x14605,x14606),f700(x14602,x14603,x14604,x14605,x14606))
% 198.24/198.43 [1461]~E(x14611,x14612)+E(f700(x14613,x14611,x14614,x14615,x14616),f700(x14613,x14612,x14614,x14615,x14616))
% 198.24/198.43 [1462]~E(x14621,x14622)+E(f700(x14623,x14624,x14621,x14625,x14626),f700(x14623,x14624,x14622,x14625,x14626))
% 198.24/198.43 [1463]~E(x14631,x14632)+E(f700(x14633,x14634,x14635,x14631,x14636),f700(x14633,x14634,x14635,x14632,x14636))
% 198.24/198.43 [1464]~E(x14641,x14642)+E(f700(x14643,x14644,x14645,x14646,x14641),f700(x14643,x14644,x14645,x14646,x14642))
% 198.24/198.43 [1465]~E(x14651,x14652)+E(f54(x14651,x14653),f54(x14652,x14653))
% 198.24/198.43 [1466]~E(x14661,x14662)+E(f54(x14663,x14661),f54(x14663,x14662))
% 198.24/198.43 [1467]~E(x14671,x14672)+E(f477(x14671,x14673,x14674),f477(x14672,x14673,x14674))
% 198.24/198.43 [1468]~E(x14681,x14682)+E(f477(x14683,x14681,x14684),f477(x14683,x14682,x14684))
% 198.24/198.43 [1469]~E(x14691,x14692)+E(f477(x14693,x14694,x14691),f477(x14693,x14694,x14692))
% 198.24/198.43 [1470]~E(x14701,x14702)+E(f613(x14701,x14703,x14704,x14705,x14706),f613(x14702,x14703,x14704,x14705,x14706))
% 198.24/198.43 [1471]~E(x14711,x14712)+E(f613(x14713,x14711,x14714,x14715,x14716),f613(x14713,x14712,x14714,x14715,x14716))
% 198.24/198.43 [1472]~E(x14721,x14722)+E(f613(x14723,x14724,x14721,x14725,x14726),f613(x14723,x14724,x14722,x14725,x14726))
% 198.24/198.43 [1473]~E(x14731,x14732)+E(f613(x14733,x14734,x14735,x14731,x14736),f613(x14733,x14734,x14735,x14732,x14736))
% 198.24/198.43 [1474]~E(x14741,x14742)+E(f613(x14743,x14744,x14745,x14746,x14741),f613(x14743,x14744,x14745,x14746,x14742))
% 198.24/198.43 [1475]~E(x14751,x14752)+E(f429(x14751,x14753,x14754,x14755,x14756,x14757),f429(x14752,x14753,x14754,x14755,x14756,x14757))
% 198.24/198.43 [1476]~E(x14761,x14762)+E(f429(x14763,x14761,x14764,x14765,x14766,x14767),f429(x14763,x14762,x14764,x14765,x14766,x14767))
% 198.24/198.43 [1477]~E(x14771,x14772)+E(f429(x14773,x14774,x14771,x14775,x14776,x14777),f429(x14773,x14774,x14772,x14775,x14776,x14777))
% 198.24/198.43 [1478]~E(x14781,x14782)+E(f429(x14783,x14784,x14785,x14781,x14786,x14787),f429(x14783,x14784,x14785,x14782,x14786,x14787))
% 198.24/198.43 [1479]~E(x14791,x14792)+E(f429(x14793,x14794,x14795,x14796,x14791,x14797),f429(x14793,x14794,x14795,x14796,x14792,x14797))
% 198.24/198.43 [1480]~E(x14801,x14802)+E(f429(x14803,x14804,x14805,x14806,x14807,x14801),f429(x14803,x14804,x14805,x14806,x14807,x14802))
% 198.24/198.43 [1481]~E(x14811,x14812)+E(f850(x14811,x14813,x14814),f850(x14812,x14813,x14814))
% 198.24/198.43 [1482]~E(x14821,x14822)+E(f850(x14823,x14821,x14824),f850(x14823,x14822,x14824))
% 198.24/198.43 [1483]~E(x14831,x14832)+E(f850(x14833,x14834,x14831),f850(x14833,x14834,x14832))
% 198.24/198.43 [1484]~E(x14841,x14842)+E(f286(x14841,x14843,x14844,x14845),f286(x14842,x14843,x14844,x14845))
% 198.24/198.43 [1485]~E(x14851,x14852)+E(f286(x14853,x14851,x14854,x14855),f286(x14853,x14852,x14854,x14855))
% 198.24/198.43 [1486]~E(x14861,x14862)+E(f286(x14863,x14864,x14861,x14865),f286(x14863,x14864,x14862,x14865))
% 198.24/198.43 [1487]~E(x14871,x14872)+E(f286(x14873,x14874,x14875,x14871),f286(x14873,x14874,x14875,x14872))
% 198.24/198.43 [1488]~E(x14881,x14882)+E(f731(x14881,x14883,x14884),f731(x14882,x14883,x14884))
% 198.24/198.43 [1489]~E(x14891,x14892)+E(f731(x14893,x14891,x14894),f731(x14893,x14892,x14894))
% 198.24/198.43 [1490]~E(x14901,x14902)+E(f731(x14903,x14904,x14901),f731(x14903,x14904,x14902))
% 198.24/198.43 [1491]~E(x14911,x14912)+E(f302(x14911,x14913,x14914,x14915,x14916),f302(x14912,x14913,x14914,x14915,x14916))
% 198.24/198.43 [1492]~E(x14921,x14922)+E(f302(x14923,x14921,x14924,x14925,x14926),f302(x14923,x14922,x14924,x14925,x14926))
% 198.24/198.43 [1493]~E(x14931,x14932)+E(f302(x14933,x14934,x14931,x14935,x14936),f302(x14933,x14934,x14932,x14935,x14936))
% 198.24/198.43 [1494]~E(x14941,x14942)+E(f302(x14943,x14944,x14945,x14941,x14946),f302(x14943,x14944,x14945,x14942,x14946))
% 198.24/198.43 [1495]~E(x14951,x14952)+E(f302(x14953,x14954,x14955,x14956,x14951),f302(x14953,x14954,x14955,x14956,x14952))
% 198.24/198.43 [1496]~E(x14961,x14962)+E(f193(x14961,x14963,x14964),f193(x14962,x14963,x14964))
% 198.24/198.43 [1497]~E(x14971,x14972)+E(f193(x14973,x14971,x14974),f193(x14973,x14972,x14974))
% 198.24/198.43 [1498]~E(x14981,x14982)+E(f193(x14983,x14984,x14981),f193(x14983,x14984,x14982))
% 198.24/198.43 [1499]~E(x14991,x14992)+E(f450(x14991,x14993,x14994),f450(x14992,x14993,x14994))
% 198.24/198.43 [1500]~E(x15001,x15002)+E(f450(x15003,x15001,x15004),f450(x15003,x15002,x15004))
% 198.24/198.43 [1501]~E(x15011,x15012)+E(f450(x15013,x15014,x15011),f450(x15013,x15014,x15012))
% 198.24/198.43 [1502]~E(x15021,x15022)+E(f519(x15021,x15023,x15024,x15025),f519(x15022,x15023,x15024,x15025))
% 198.24/198.43 [1503]~E(x15031,x15032)+E(f519(x15033,x15031,x15034,x15035),f519(x15033,x15032,x15034,x15035))
% 198.24/198.43 [1504]~E(x15041,x15042)+E(f519(x15043,x15044,x15041,x15045),f519(x15043,x15044,x15042,x15045))
% 198.24/198.43 [1505]~E(x15051,x15052)+E(f519(x15053,x15054,x15055,x15051),f519(x15053,x15054,x15055,x15052))
% 198.24/198.43 [1506]~E(x15061,x15062)+E(f437(x15061,x15063,x15064),f437(x15062,x15063,x15064))
% 198.24/198.43 [1507]~E(x15071,x15072)+E(f437(x15073,x15071,x15074),f437(x15073,x15072,x15074))
% 198.24/198.43 [1508]~E(x15081,x15082)+E(f437(x15083,x15084,x15081),f437(x15083,x15084,x15082))
% 198.24/198.43 [1509]~E(x15091,x15092)+E(f374(x15091,x15093),f374(x15092,x15093))
% 198.24/198.43 [1510]~E(x15101,x15102)+E(f374(x15103,x15101),f374(x15103,x15102))
% 198.24/198.43 [1511]~E(x15111,x15112)+E(f626(x15111,x15113,x15114,x15115,x15116),f626(x15112,x15113,x15114,x15115,x15116))
% 198.24/198.43 [1512]~E(x15121,x15122)+E(f626(x15123,x15121,x15124,x15125,x15126),f626(x15123,x15122,x15124,x15125,x15126))
% 198.24/198.43 [1513]~E(x15131,x15132)+E(f626(x15133,x15134,x15131,x15135,x15136),f626(x15133,x15134,x15132,x15135,x15136))
% 198.24/198.43 [1514]~E(x15141,x15142)+E(f626(x15143,x15144,x15145,x15141,x15146),f626(x15143,x15144,x15145,x15142,x15146))
% 198.24/198.43 [1515]~E(x15151,x15152)+E(f626(x15153,x15154,x15155,x15156,x15151),f626(x15153,x15154,x15155,x15156,x15152))
% 198.24/198.43 [1516]~E(x15161,x15162)+E(f675(x15161,x15163,x15164,x15165),f675(x15162,x15163,x15164,x15165))
% 198.24/198.43 [1517]~E(x15171,x15172)+E(f675(x15173,x15171,x15174,x15175),f675(x15173,x15172,x15174,x15175))
% 198.24/198.43 [1518]~E(x15181,x15182)+E(f675(x15183,x15184,x15181,x15185),f675(x15183,x15184,x15182,x15185))
% 198.24/198.43 [1519]~E(x15191,x15192)+E(f675(x15193,x15194,x15195,x15191),f675(x15193,x15194,x15195,x15192))
% 198.24/198.43 [1520]~E(x15201,x15202)+E(f582(x15201,x15203,x15204),f582(x15202,x15203,x15204))
% 198.24/198.43 [1521]~E(x15211,x15212)+E(f582(x15213,x15211,x15214),f582(x15213,x15212,x15214))
% 198.24/198.43 [1522]~E(x15221,x15222)+E(f582(x15223,x15224,x15221),f582(x15223,x15224,x15222))
% 198.24/198.43 [1523]~E(x15231,x15232)+E(f245(x15231,x15233,x15234),f245(x15232,x15233,x15234))
% 198.24/198.43 [1524]~E(x15241,x15242)+E(f245(x15243,x15241,x15244),f245(x15243,x15242,x15244))
% 198.24/198.43 [1525]~E(x15251,x15252)+E(f245(x15253,x15254,x15251),f245(x15253,x15254,x15252))
% 198.24/198.43 [1526]~E(x15261,x15262)+E(f412(x15261,x15263,x15264,x15265,x15266,x15267,x15268,x15269,x152610),f412(x15262,x15263,x15264,x15265,x15266,x15267,x15268,x15269,x152610))
% 198.24/198.43 [1527]~E(x15271,x15272)+E(f412(x15273,x15271,x15274,x15275,x15276,x15277,x15278,x15279,x152710),f412(x15273,x15272,x15274,x15275,x15276,x15277,x15278,x15279,x152710))
% 198.24/198.43 [1528]~E(x15281,x15282)+E(f412(x15283,x15284,x15281,x15285,x15286,x15287,x15288,x15289,x152810),f412(x15283,x15284,x15282,x15285,x15286,x15287,x15288,x15289,x152810))
% 198.24/198.43 [1529]~E(x15291,x15292)+E(f412(x15293,x15294,x15295,x15291,x15296,x15297,x15298,x15299,x152910),f412(x15293,x15294,x15295,x15292,x15296,x15297,x15298,x15299,x152910))
% 198.24/198.43 [1530]~E(x15301,x15302)+E(f412(x15303,x15304,x15305,x15306,x15301,x15307,x15308,x15309,x153010),f412(x15303,x15304,x15305,x15306,x15302,x15307,x15308,x15309,x153010))
% 198.24/198.43 [1531]~E(x15311,x15312)+E(f412(x15313,x15314,x15315,x15316,x15317,x15311,x15318,x15319,x153110),f412(x15313,x15314,x15315,x15316,x15317,x15312,x15318,x15319,x153110))
% 198.24/198.43 [1532]~E(x15321,x15322)+E(f412(x15323,x15324,x15325,x15326,x15327,x15328,x15321,x15329,x153210),f412(x15323,x15324,x15325,x15326,x15327,x15328,x15322,x15329,x153210))
% 198.24/198.43 [1533]~E(x15331,x15332)+E(f412(x15333,x15334,x15335,x15336,x15337,x15338,x15339,x15331,x153310),f412(x15333,x15334,x15335,x15336,x15337,x15338,x15339,x15332,x153310))
% 198.24/198.43 [1534]~E(x15341,x15342)+E(f412(x15343,x15344,x15345,x15346,x15347,x15348,x15349,x153410,x15341),f412(x15343,x15344,x15345,x15346,x15347,x15348,x15349,x153410,x15342))
% 198.24/198.43 [1535]~E(x15351,x15352)+E(f75(x15351,x15353),f75(x15352,x15353))
% 198.24/198.43 [1536]~E(x15361,x15362)+E(f75(x15363,x15361),f75(x15363,x15362))
% 198.24/198.43 [1537]~E(x15371,x15372)+E(f341(x15371,x15373,x15374,x15375),f341(x15372,x15373,x15374,x15375))
% 198.24/198.43 [1538]~E(x15381,x15382)+E(f341(x15383,x15381,x15384,x15385),f341(x15383,x15382,x15384,x15385))
% 198.24/198.43 [1539]~E(x15391,x15392)+E(f341(x15393,x15394,x15391,x15395),f341(x15393,x15394,x15392,x15395))
% 198.24/198.43 [1540]~E(x15401,x15402)+E(f341(x15403,x15404,x15405,x15401),f341(x15403,x15404,x15405,x15402))
% 198.24/198.43 [1541]~E(x15411,x15412)+E(f871(x15411,x15413,x15414),f871(x15412,x15413,x15414))
% 198.24/198.43 [1542]~E(x15421,x15422)+E(f871(x15423,x15421,x15424),f871(x15423,x15422,x15424))
% 198.24/198.43 [1543]~E(x15431,x15432)+E(f871(x15433,x15434,x15431),f871(x15433,x15434,x15432))
% 198.24/198.43 [1544]~E(x15441,x15442)+E(f398(x15441,x15443,x15444,x15445),f398(x15442,x15443,x15444,x15445))
% 198.24/198.43 [1545]~E(x15451,x15452)+E(f398(x15453,x15451,x15454,x15455),f398(x15453,x15452,x15454,x15455))
% 198.24/198.43 [1546]~E(x15461,x15462)+E(f398(x15463,x15464,x15461,x15465),f398(x15463,x15464,x15462,x15465))
% 198.24/198.43 [1547]~E(x15471,x15472)+E(f398(x15473,x15474,x15475,x15471),f398(x15473,x15474,x15475,x15472))
% 198.24/198.43 [1548]~E(x15481,x15482)+E(f866(x15481,x15483,x15484,x15485,x15486,x15487),f866(x15482,x15483,x15484,x15485,x15486,x15487))
% 198.24/198.43 [1549]~E(x15491,x15492)+E(f866(x15493,x15491,x15494,x15495,x15496,x15497),f866(x15493,x15492,x15494,x15495,x15496,x15497))
% 198.24/198.43 [1550]~E(x15501,x15502)+E(f866(x15503,x15504,x15501,x15505,x15506,x15507),f866(x15503,x15504,x15502,x15505,x15506,x15507))
% 198.24/198.43 [1551]~E(x15511,x15512)+E(f866(x15513,x15514,x15515,x15511,x15516,x15517),f866(x15513,x15514,x15515,x15512,x15516,x15517))
% 198.24/198.43 [1552]~E(x15521,x15522)+E(f866(x15523,x15524,x15525,x15526,x15521,x15527),f866(x15523,x15524,x15525,x15526,x15522,x15527))
% 198.24/198.43 [1553]~E(x15531,x15532)+E(f866(x15533,x15534,x15535,x15536,x15537,x15531),f866(x15533,x15534,x15535,x15536,x15537,x15532))
% 198.24/198.43 [1554]~E(x15541,x15542)+E(f847(x15541,x15543,x15544,x15545),f847(x15542,x15543,x15544,x15545))
% 198.24/198.43 [1555]~E(x15551,x15552)+E(f847(x15553,x15551,x15554,x15555),f847(x15553,x15552,x15554,x15555))
% 198.24/198.43 [1556]~E(x15561,x15562)+E(f847(x15563,x15564,x15561,x15565),f847(x15563,x15564,x15562,x15565))
% 198.24/198.43 [1557]~E(x15571,x15572)+E(f847(x15573,x15574,x15575,x15571),f847(x15573,x15574,x15575,x15572))
% 198.24/198.43 [1558]~E(x15581,x15582)+E(f725(x15581,x15583),f725(x15582,x15583))
% 198.24/198.43 [1559]~E(x15591,x15592)+E(f725(x15593,x15591),f725(x15593,x15592))
% 198.24/198.43 [1560]~E(x15601,x15602)+E(f447(x15601,x15603),f447(x15602,x15603))
% 198.24/198.43 [1561]~E(x15611,x15612)+E(f447(x15613,x15611),f447(x15613,x15612))
% 198.24/198.43 [1562]~E(x15621,x15622)+E(f600(x15621,x15623,x15624,x15625,x15626),f600(x15622,x15623,x15624,x15625,x15626))
% 198.24/198.43 [1563]~E(x15631,x15632)+E(f600(x15633,x15631,x15634,x15635,x15636),f600(x15633,x15632,x15634,x15635,x15636))
% 198.24/198.44 [1564]~E(x15641,x15642)+E(f600(x15643,x15644,x15641,x15645,x15646),f600(x15643,x15644,x15642,x15645,x15646))
% 198.24/198.44 [1565]~E(x15651,x15652)+E(f600(x15653,x15654,x15655,x15651,x15656),f600(x15653,x15654,x15655,x15652,x15656))
% 198.24/198.44 [1566]~E(x15661,x15662)+E(f600(x15663,x15664,x15665,x15666,x15661),f600(x15663,x15664,x15665,x15666,x15662))
% 198.24/198.44 [1567]~E(x15671,x15672)+E(f733(x15671,x15673),f733(x15672,x15673))
% 198.24/198.44 [1568]~E(x15681,x15682)+E(f733(x15683,x15681),f733(x15683,x15682))
% 198.24/198.44 [1569]~E(x15691,x15692)+E(f657(x15691,x15693,x15694,x15695,x15696),f657(x15692,x15693,x15694,x15695,x15696))
% 198.24/198.44 [1570]~E(x15701,x15702)+E(f657(x15703,x15701,x15704,x15705,x15706),f657(x15703,x15702,x15704,x15705,x15706))
% 198.24/198.44 [1571]~E(x15711,x15712)+E(f657(x15713,x15714,x15711,x15715,x15716),f657(x15713,x15714,x15712,x15715,x15716))
% 198.24/198.44 [1572]~E(x15721,x15722)+E(f657(x15723,x15724,x15725,x15721,x15726),f657(x15723,x15724,x15725,x15722,x15726))
% 198.24/198.44 [1573]~E(x15731,x15732)+E(f657(x15733,x15734,x15735,x15736,x15731),f657(x15733,x15734,x15735,x15736,x15732))
% 198.24/198.44 [1574]~E(x15741,x15742)+E(f594(x15741,x15743),f594(x15742,x15743))
% 198.24/198.44 [1575]~E(x15751,x15752)+E(f594(x15753,x15751),f594(x15753,x15752))
% 198.24/198.44 [1576]~E(x15761,x15762)+E(f651(x15761,x15763,x15764),f651(x15762,x15763,x15764))
% 198.24/198.44 [1577]~E(x15771,x15772)+E(f651(x15773,x15771,x15774),f651(x15773,x15772,x15774))
% 198.24/198.44 [1578]~E(x15781,x15782)+E(f651(x15783,x15784,x15781),f651(x15783,x15784,x15782))
% 198.24/198.44 [1579]~E(x15791,x15792)+E(f766(x15791,x15793,x15794,x15795,x15796),f766(x15792,x15793,x15794,x15795,x15796))
% 198.24/198.44 [1580]~E(x15801,x15802)+E(f766(x15803,x15801,x15804,x15805,x15806),f766(x15803,x15802,x15804,x15805,x15806))
% 198.24/198.44 [1581]~E(x15811,x15812)+E(f766(x15813,x15814,x15811,x15815,x15816),f766(x15813,x15814,x15812,x15815,x15816))
% 198.24/198.44 [1582]~E(x15821,x15822)+E(f766(x15823,x15824,x15825,x15821,x15826),f766(x15823,x15824,x15825,x15822,x15826))
% 198.24/198.44 [1583]~E(x15831,x15832)+E(f766(x15833,x15834,x15835,x15836,x15831),f766(x15833,x15834,x15835,x15836,x15832))
% 198.24/198.44 [1584]~E(x15841,x15842)+E(f506(x15841,x15843,x15844,x15845,x15846,x15847),f506(x15842,x15843,x15844,x15845,x15846,x15847))
% 198.24/198.44 [1585]~E(x15851,x15852)+E(f506(x15853,x15851,x15854,x15855,x15856,x15857),f506(x15853,x15852,x15854,x15855,x15856,x15857))
% 198.24/198.44 [1586]~E(x15861,x15862)+E(f506(x15863,x15864,x15861,x15865,x15866,x15867),f506(x15863,x15864,x15862,x15865,x15866,x15867))
% 198.24/198.44 [1587]~E(x15871,x15872)+E(f506(x15873,x15874,x15875,x15871,x15876,x15877),f506(x15873,x15874,x15875,x15872,x15876,x15877))
% 198.24/198.44 [1588]~E(x15881,x15882)+E(f506(x15883,x15884,x15885,x15886,x15881,x15887),f506(x15883,x15884,x15885,x15886,x15882,x15887))
% 198.24/198.44 [1589]~E(x15891,x15892)+E(f506(x15893,x15894,x15895,x15896,x15897,x15891),f506(x15893,x15894,x15895,x15896,x15897,x15892))
% 198.24/198.44 [1590]~E(x15901,x15902)+E(f164(x15901,x15903),f164(x15902,x15903))
% 198.24/198.44 [1591]~E(x15911,x15912)+E(f164(x15913,x15911),f164(x15913,x15912))
% 198.24/198.44 [1592]~E(x15921,x15922)+E(f853(x15921,x15923,x15924,x15925),f853(x15922,x15923,x15924,x15925))
% 198.24/198.44 [1593]~E(x15931,x15932)+E(f853(x15933,x15931,x15934,x15935),f853(x15933,x15932,x15934,x15935))
% 198.24/198.44 [1594]~E(x15941,x15942)+E(f853(x15943,x15944,x15941,x15945),f853(x15943,x15944,x15942,x15945))
% 198.24/198.44 [1595]~E(x15951,x15952)+E(f853(x15953,x15954,x15955,x15951),f853(x15953,x15954,x15955,x15952))
% 198.24/198.44 [1596]~E(x15961,x15962)+E(f241(x15961,x15963,x15964,x15965),f241(x15962,x15963,x15964,x15965))
% 198.24/198.44 [1597]~E(x15971,x15972)+E(f241(x15973,x15971,x15974,x15975),f241(x15973,x15972,x15974,x15975))
% 198.24/198.44 [1598]~E(x15981,x15982)+E(f241(x15983,x15984,x15981,x15985),f241(x15983,x15984,x15982,x15985))
% 198.24/198.44 [1599]~E(x15991,x15992)+E(f241(x15993,x15994,x15995,x15991),f241(x15993,x15994,x15995,x15992))
% 198.24/198.44 [1600]~E(x16001,x16002)+E(f372(x16001,x16003,x16004,x16005,x16006),f372(x16002,x16003,x16004,x16005,x16006))
% 198.24/198.44 [1601]~E(x16011,x16012)+E(f372(x16013,x16011,x16014,x16015,x16016),f372(x16013,x16012,x16014,x16015,x16016))
% 198.24/198.44 [1602]~E(x16021,x16022)+E(f372(x16023,x16024,x16021,x16025,x16026),f372(x16023,x16024,x16022,x16025,x16026))
% 198.24/198.44 [1603]~E(x16031,x16032)+E(f372(x16033,x16034,x16035,x16031,x16036),f372(x16033,x16034,x16035,x16032,x16036))
% 198.24/198.44 [1604]~E(x16041,x16042)+E(f372(x16043,x16044,x16045,x16046,x16041),f372(x16043,x16044,x16045,x16046,x16042))
% 198.24/198.44 [1605]~E(x16051,x16052)+E(f815(x16051,x16053,x16054,x16055,x16056,x16057,x16058),f815(x16052,x16053,x16054,x16055,x16056,x16057,x16058))
% 198.24/198.44 [1606]~E(x16061,x16062)+E(f815(x16063,x16061,x16064,x16065,x16066,x16067,x16068),f815(x16063,x16062,x16064,x16065,x16066,x16067,x16068))
% 198.24/198.44 [1607]~E(x16071,x16072)+E(f815(x16073,x16074,x16071,x16075,x16076,x16077,x16078),f815(x16073,x16074,x16072,x16075,x16076,x16077,x16078))
% 198.24/198.44 [1608]~E(x16081,x16082)+E(f815(x16083,x16084,x16085,x16081,x16086,x16087,x16088),f815(x16083,x16084,x16085,x16082,x16086,x16087,x16088))
% 198.24/198.44 [1609]~E(x16091,x16092)+E(f815(x16093,x16094,x16095,x16096,x16091,x16097,x16098),f815(x16093,x16094,x16095,x16096,x16092,x16097,x16098))
% 198.24/198.44 [1610]~E(x16101,x16102)+E(f815(x16103,x16104,x16105,x16106,x16107,x16101,x16108),f815(x16103,x16104,x16105,x16106,x16107,x16102,x16108))
% 198.24/198.44 [1611]~E(x16111,x16112)+E(f815(x16113,x16114,x16115,x16116,x16117,x16118,x16111),f815(x16113,x16114,x16115,x16116,x16117,x16118,x16112))
% 198.24/198.44 [1612]~E(x16121,x16122)+E(f601(x16121,x16123),f601(x16122,x16123))
% 198.24/198.44 [1613]~E(x16131,x16132)+E(f601(x16133,x16131),f601(x16133,x16132))
% 198.24/198.44 [1614]~E(x16141,x16142)+E(f673(x16141,x16143,x16144,x16145,x16146),f673(x16142,x16143,x16144,x16145,x16146))
% 198.24/198.44 [1615]~E(x16151,x16152)+E(f673(x16153,x16151,x16154,x16155,x16156),f673(x16153,x16152,x16154,x16155,x16156))
% 198.24/198.44 [1616]~E(x16161,x16162)+E(f673(x16163,x16164,x16161,x16165,x16166),f673(x16163,x16164,x16162,x16165,x16166))
% 198.24/198.44 [1617]~E(x16171,x16172)+E(f673(x16173,x16174,x16175,x16171,x16176),f673(x16173,x16174,x16175,x16172,x16176))
% 198.24/198.44 [1618]~E(x16181,x16182)+E(f673(x16183,x16184,x16185,x16186,x16181),f673(x16183,x16184,x16185,x16186,x16182))
% 198.24/198.44 [1619]~E(x16191,x16192)+E(f829(x16191,x16193),f829(x16192,x16193))
% 198.24/198.44 [1620]~E(x16201,x16202)+E(f829(x16203,x16201),f829(x16203,x16202))
% 198.24/198.44 [1621]~E(x16211,x16212)+E(f614(x16211,x16213,x16214,x16215,x16216),f614(x16212,x16213,x16214,x16215,x16216))
% 198.24/198.44 [1622]~E(x16221,x16222)+E(f614(x16223,x16221,x16224,x16225,x16226),f614(x16223,x16222,x16224,x16225,x16226))
% 198.24/198.44 [1623]~E(x16231,x16232)+E(f614(x16233,x16234,x16231,x16235,x16236),f614(x16233,x16234,x16232,x16235,x16236))
% 198.24/198.44 [1624]~E(x16241,x16242)+E(f614(x16243,x16244,x16245,x16241,x16246),f614(x16243,x16244,x16245,x16242,x16246))
% 198.24/198.44 [1625]~E(x16251,x16252)+E(f614(x16253,x16254,x16255,x16256,x16251),f614(x16253,x16254,x16255,x16256,x16252))
% 198.24/198.44 [1626]~E(x16261,x16262)+E(f714(x16261,x16263,x16264),f714(x16262,x16263,x16264))
% 198.24/198.44 [1627]~E(x16271,x16272)+E(f714(x16273,x16271,x16274),f714(x16273,x16272,x16274))
% 198.24/198.44 [1628]~E(x16281,x16282)+E(f714(x16283,x16284,x16281),f714(x16283,x16284,x16282))
% 198.24/198.44 [1629]~E(x16291,x16292)+E(f794(x16291,x16293,x16294),f794(x16292,x16293,x16294))
% 198.24/198.44 [1630]~E(x16301,x16302)+E(f794(x16303,x16301,x16304),f794(x16303,x16302,x16304))
% 198.24/198.44 [1631]~E(x16311,x16312)+E(f794(x16313,x16314,x16311),f794(x16313,x16314,x16312))
% 198.24/198.44 [1632]~E(x16321,x16322)+E(f736(x16321,x16323,x16324),f736(x16322,x16323,x16324))
% 198.24/198.44 [1633]~E(x16331,x16332)+E(f736(x16333,x16331,x16334),f736(x16333,x16332,x16334))
% 198.24/198.44 [1634]~E(x16341,x16342)+E(f736(x16343,x16344,x16341),f736(x16343,x16344,x16342))
% 198.24/198.44 [1635]~E(x16351,x16352)+E(f264(x16351,x16353,x16354),f264(x16352,x16353,x16354))
% 198.24/198.44 [1636]~E(x16361,x16362)+E(f264(x16363,x16361,x16364),f264(x16363,x16362,x16364))
% 198.24/198.44 [1637]~E(x16371,x16372)+E(f264(x16373,x16374,x16371),f264(x16373,x16374,x16372))
% 198.24/198.44 [1638]~E(x16381,x16382)+E(f752(x16381,x16383,x16384,x16385,x16386),f752(x16382,x16383,x16384,x16385,x16386))
% 198.24/198.44 [1639]~E(x16391,x16392)+E(f752(x16393,x16391,x16394,x16395,x16396),f752(x16393,x16392,x16394,x16395,x16396))
% 198.24/198.44 [1640]~E(x16401,x16402)+E(f752(x16403,x16404,x16401,x16405,x16406),f752(x16403,x16404,x16402,x16405,x16406))
% 198.24/198.44 [1641]~E(x16411,x16412)+E(f752(x16413,x16414,x16415,x16411,x16416),f752(x16413,x16414,x16415,x16412,x16416))
% 198.24/198.44 [1642]~E(x16421,x16422)+E(f752(x16423,x16424,x16425,x16426,x16421),f752(x16423,x16424,x16425,x16426,x16422))
% 198.24/198.44 [1643]~E(x16431,x16432)+E(f383(x16431,x16433,x16434),f383(x16432,x16433,x16434))
% 198.24/198.44 [1644]~E(x16441,x16442)+E(f383(x16443,x16441,x16444),f383(x16443,x16442,x16444))
% 198.24/198.44 [1645]~E(x16451,x16452)+E(f383(x16453,x16454,x16451),f383(x16453,x16454,x16452))
% 198.24/198.44 [1646]~E(x16461,x16462)+E(f816(x16461,x16463,x16464,x16465,x16466,x16467,x16468),f816(x16462,x16463,x16464,x16465,x16466,x16467,x16468))
% 198.24/198.44 [1647]~E(x16471,x16472)+E(f816(x16473,x16471,x16474,x16475,x16476,x16477,x16478),f816(x16473,x16472,x16474,x16475,x16476,x16477,x16478))
% 198.24/198.44 [1648]~E(x16481,x16482)+E(f816(x16483,x16484,x16481,x16485,x16486,x16487,x16488),f816(x16483,x16484,x16482,x16485,x16486,x16487,x16488))
% 198.24/198.44 [1649]~E(x16491,x16492)+E(f816(x16493,x16494,x16495,x16491,x16496,x16497,x16498),f816(x16493,x16494,x16495,x16492,x16496,x16497,x16498))
% 198.24/198.44 [1650]~E(x16501,x16502)+E(f816(x16503,x16504,x16505,x16506,x16501,x16507,x16508),f816(x16503,x16504,x16505,x16506,x16502,x16507,x16508))
% 198.24/198.44 [1651]~E(x16511,x16512)+E(f816(x16513,x16514,x16515,x16516,x16517,x16511,x16518),f816(x16513,x16514,x16515,x16516,x16517,x16512,x16518))
% 198.24/198.44 [1652]~E(x16521,x16522)+E(f816(x16523,x16524,x16525,x16526,x16527,x16528,x16521),f816(x16523,x16524,x16525,x16526,x16527,x16528,x16522))
% 198.24/198.44 [1653]~E(x16531,x16532)+E(f617(x16531,x16533,x16534,x16535),f617(x16532,x16533,x16534,x16535))
% 198.24/198.44 [1654]~E(x16541,x16542)+E(f617(x16543,x16541,x16544,x16545),f617(x16543,x16542,x16544,x16545))
% 198.24/198.44 [1655]~E(x16551,x16552)+E(f617(x16553,x16554,x16551,x16555),f617(x16553,x16554,x16552,x16555))
% 198.24/198.44 [1656]~E(x16561,x16562)+E(f617(x16563,x16564,x16565,x16561),f617(x16563,x16564,x16565,x16562))
% 198.24/198.44 [1657]~E(x16571,x16572)+E(f639(x16571,x16573,x16574),f639(x16572,x16573,x16574))
% 198.24/198.44 [1658]~E(x16581,x16582)+E(f639(x16583,x16581,x16584),f639(x16583,x16582,x16584))
% 198.24/198.44 [1659]~E(x16591,x16592)+E(f639(x16593,x16594,x16591),f639(x16593,x16594,x16592))
% 198.24/198.44 [1660]~E(x16601,x16602)+E(f693(x16601,x16603,x16604,x16605),f693(x16602,x16603,x16604,x16605))
% 198.24/198.44 [1661]~E(x16611,x16612)+E(f693(x16613,x16611,x16614,x16615),f693(x16613,x16612,x16614,x16615))
% 198.24/198.44 [1662]~E(x16621,x16622)+E(f693(x16623,x16624,x16621,x16625),f693(x16623,x16624,x16622,x16625))
% 198.24/198.44 [1663]~E(x16631,x16632)+E(f693(x16633,x16634,x16635,x16631),f693(x16633,x16634,x16635,x16632))
% 198.24/198.44 [1664]~E(x16641,x16642)+E(f709(x16641,x16643,x16644),f709(x16642,x16643,x16644))
% 198.24/198.44 [1665]~E(x16651,x16652)+E(f709(x16653,x16651,x16654),f709(x16653,x16652,x16654))
% 198.24/198.44 [1666]~E(x16661,x16662)+E(f709(x16663,x16664,x16661),f709(x16663,x16664,x16662))
% 198.24/198.44 [1667]~E(x16671,x16672)+E(f705(x16671,x16673,x16674,x16675),f705(x16672,x16673,x16674,x16675))
% 198.24/198.44 [1668]~E(x16681,x16682)+E(f705(x16683,x16681,x16684,x16685),f705(x16683,x16682,x16684,x16685))
% 198.24/198.44 [1669]~E(x16691,x16692)+E(f705(x16693,x16694,x16691,x16695),f705(x16693,x16694,x16692,x16695))
% 198.24/198.44 [1670]~E(x16701,x16702)+E(f705(x16703,x16704,x16705,x16701),f705(x16703,x16704,x16705,x16702))
% 198.24/198.44 [1671]~E(x16711,x16712)+E(f63(x16711,x16713,x16714),f63(x16712,x16713,x16714))
% 198.24/198.44 [1672]~E(x16721,x16722)+E(f63(x16723,x16721,x16724),f63(x16723,x16722,x16724))
% 198.24/198.44 [1673]~E(x16731,x16732)+E(f63(x16733,x16734,x16731),f63(x16733,x16734,x16732))
% 198.24/198.44 [1674]~E(x16741,x16742)+E(f500(x16741,x16743,x16744,x16745),f500(x16742,x16743,x16744,x16745))
% 198.24/198.44 [1675]~E(x16751,x16752)+E(f500(x16753,x16751,x16754,x16755),f500(x16753,x16752,x16754,x16755))
% 198.24/198.44 [1676]~E(x16761,x16762)+E(f500(x16763,x16764,x16761,x16765),f500(x16763,x16764,x16762,x16765))
% 198.24/198.44 [1677]~E(x16771,x16772)+E(f500(x16773,x16774,x16775,x16771),f500(x16773,x16774,x16775,x16772))
% 198.24/198.44 [1678]~E(x16781,x16782)+E(f598(x16781,x16783,x16784),f598(x16782,x16783,x16784))
% 198.24/198.44 [1679]~E(x16791,x16792)+E(f598(x16793,x16791,x16794),f598(x16793,x16792,x16794))
% 198.24/198.44 [1680]~E(x16801,x16802)+E(f598(x16803,x16804,x16801),f598(x16803,x16804,x16802))
% 198.24/198.44 [1681]~E(x16811,x16812)+E(f406(x16811,x16813),f406(x16812,x16813))
% 198.24/198.44 [1682]~E(x16821,x16822)+E(f406(x16823,x16821),f406(x16823,x16822))
% 198.24/198.44 [1683]~E(x16831,x16832)+E(f284(x16831,x16833),f284(x16832,x16833))
% 198.24/198.44 [1684]~E(x16841,x16842)+E(f284(x16843,x16841),f284(x16843,x16842))
% 198.24/198.44 [1685]~E(x16851,x16852)+E(f321(x16851,x16853,x16854),f321(x16852,x16853,x16854))
% 198.24/198.44 [1686]~E(x16861,x16862)+E(f321(x16863,x16861,x16864),f321(x16863,x16862,x16864))
% 198.24/198.44 [1687]~E(x16871,x16872)+E(f321(x16873,x16874,x16871),f321(x16873,x16874,x16872))
% 198.24/198.44 [1688]~E(x16881,x16882)+E(f590(x16881,x16883,x16884),f590(x16882,x16883,x16884))
% 198.24/198.44 [1689]~E(x16891,x16892)+E(f590(x16893,x16891,x16894),f590(x16893,x16892,x16894))
% 198.24/198.44 [1690]~E(x16901,x16902)+E(f590(x16903,x16904,x16901),f590(x16903,x16904,x16902))
% 198.24/198.44 [1691]~E(x16911,x16912)+E(f841(x16911,x16913,x16914,x16915),f841(x16912,x16913,x16914,x16915))
% 198.24/198.44 [1692]~E(x16921,x16922)+E(f841(x16923,x16921,x16924,x16925),f841(x16923,x16922,x16924,x16925))
% 198.24/198.44 [1693]~E(x16931,x16932)+E(f841(x16933,x16934,x16931,x16935),f841(x16933,x16934,x16932,x16935))
% 198.24/198.44 [1694]~E(x16941,x16942)+E(f841(x16943,x16944,x16945,x16941),f841(x16943,x16944,x16945,x16942))
% 198.24/198.44 [1695]~E(x16951,x16952)+E(f807(x16951,x16953,x16954,x16955,x16956),f807(x16952,x16953,x16954,x16955,x16956))
% 198.24/198.44 [1696]~E(x16961,x16962)+E(f807(x16963,x16961,x16964,x16965,x16966),f807(x16963,x16962,x16964,x16965,x16966))
% 198.24/198.44 [1697]~E(x16971,x16972)+E(f807(x16973,x16974,x16971,x16975,x16976),f807(x16973,x16974,x16972,x16975,x16976))
% 198.24/198.44 [1698]~E(x16981,x16982)+E(f807(x16983,x16984,x16985,x16981,x16986),f807(x16983,x16984,x16985,x16982,x16986))
% 198.24/198.44 [1699]~E(x16991,x16992)+E(f807(x16993,x16994,x16995,x16996,x16991),f807(x16993,x16994,x16995,x16996,x16992))
% 198.24/198.44 [1700]~E(x17001,x17002)+E(f591(x17001,x17003,x17004),f591(x17002,x17003,x17004))
% 198.24/198.44 [1701]~E(x17011,x17012)+E(f591(x17013,x17011,x17014),f591(x17013,x17012,x17014))
% 198.24/198.44 [1702]~E(x17021,x17022)+E(f591(x17023,x17024,x17021),f591(x17023,x17024,x17022))
% 198.24/198.44 [1703]~E(x17031,x17032)+E(f320(x17031,x17033,x17034),f320(x17032,x17033,x17034))
% 198.24/198.44 [1704]~E(x17041,x17042)+E(f320(x17043,x17041,x17044),f320(x17043,x17042,x17044))
% 198.24/198.44 [1705]~E(x17051,x17052)+E(f320(x17053,x17054,x17051),f320(x17053,x17054,x17052))
% 198.24/198.44 [1706]~E(x17061,x17062)+E(f719(x17061,x17063,x17064,x17065),f719(x17062,x17063,x17064,x17065))
% 198.24/198.44 [1707]~E(x17071,x17072)+E(f719(x17073,x17071,x17074,x17075),f719(x17073,x17072,x17074,x17075))
% 198.24/198.44 [1708]~E(x17081,x17082)+E(f719(x17083,x17084,x17081,x17085),f719(x17083,x17084,x17082,x17085))
% 198.24/198.44 [1709]~E(x17091,x17092)+E(f719(x17093,x17094,x17095,x17091),f719(x17093,x17094,x17095,x17092))
% 198.24/198.44 [1710]~E(x17101,x17102)+E(f377(x17101,x17103),f377(x17102,x17103))
% 198.24/198.44 [1711]~E(x17111,x17112)+E(f377(x17113,x17111),f377(x17113,x17112))
% 198.24/198.44 [1712]~E(x17121,x17122)+E(f439(x17121,x17123),f439(x17122,x17123))
% 198.24/198.44 [1713]~E(x17131,x17132)+E(f439(x17133,x17131),f439(x17133,x17132))
% 198.24/198.44 [1714]~E(x17141,x17142)+E(f475(x17141,x17143,x17144),f475(x17142,x17143,x17144))
% 198.24/198.44 [1715]~E(x17151,x17152)+E(f475(x17153,x17151,x17154),f475(x17153,x17152,x17154))
% 198.24/198.44 [1716]~E(x17161,x17162)+E(f475(x17163,x17164,x17161),f475(x17163,x17164,x17162))
% 198.24/198.44 [1717]~E(x17171,x17172)+E(f435(x17171,x17173,x17174),f435(x17172,x17173,x17174))
% 198.24/198.44 [1718]~E(x17181,x17182)+E(f435(x17183,x17181,x17184),f435(x17183,x17182,x17184))
% 198.24/198.44 [1719]~E(x17191,x17192)+E(f435(x17193,x17194,x17191),f435(x17193,x17194,x17192))
% 198.24/198.44 [1720]~E(x17201,x17202)+E(f616(x17201,x17203,x17204,x17205),f616(x17202,x17203,x17204,x17205))
% 198.24/198.44 [1721]~E(x17211,x17212)+E(f616(x17213,x17211,x17214,x17215),f616(x17213,x17212,x17214,x17215))
% 198.24/198.44 [1722]~E(x17221,x17222)+E(f616(x17223,x17224,x17221,x17225),f616(x17223,x17224,x17222,x17225))
% 198.24/198.44 [1723]~E(x17231,x17232)+E(f616(x17233,x17234,x17235,x17231),f616(x17233,x17234,x17235,x17232))
% 198.24/198.44 [1724]~E(x17241,x17242)+E(f565(x17241,x17243,x17244),f565(x17242,x17243,x17244))
% 198.24/198.44 [1725]~E(x17251,x17252)+E(f565(x17253,x17251,x17254),f565(x17253,x17252,x17254))
% 198.24/198.44 [1726]~E(x17261,x17262)+E(f565(x17263,x17264,x17261),f565(x17263,x17264,x17262))
% 198.24/198.44 [1727]~E(x17271,x17272)+E(f263(x17271,x17273,x17274),f263(x17272,x17273,x17274))
% 198.24/198.44 [1728]~E(x17281,x17282)+E(f263(x17283,x17281,x17284),f263(x17283,x17282,x17284))
% 198.24/198.44 [1729]~E(x17291,x17292)+E(f263(x17293,x17294,x17291),f263(x17293,x17294,x17292))
% 198.24/198.44 [1730]~E(x17301,x17302)+E(f806(x17301,x17303,x17304,x17305),f806(x17302,x17303,x17304,x17305))
% 198.24/198.44 [1731]~E(x17311,x17312)+E(f806(x17313,x17311,x17314,x17315),f806(x17313,x17312,x17314,x17315))
% 198.24/198.44 [1732]~E(x17321,x17322)+E(f806(x17323,x17324,x17321,x17325),f806(x17323,x17324,x17322,x17325))
% 198.24/198.44 [1733]~E(x17331,x17332)+E(f806(x17333,x17334,x17335,x17331),f806(x17333,x17334,x17335,x17332))
% 198.24/198.44 [1734]~E(x17341,x17342)+E(f777(x17341,x17343,x17344,x17345,x17346),f777(x17342,x17343,x17344,x17345,x17346))
% 198.24/198.44 [1735]~E(x17351,x17352)+E(f777(x17353,x17351,x17354,x17355,x17356),f777(x17353,x17352,x17354,x17355,x17356))
% 198.24/198.44 [1736]~E(x17361,x17362)+E(f777(x17363,x17364,x17361,x17365,x17366),f777(x17363,x17364,x17362,x17365,x17366))
% 198.24/198.44 [1737]~E(x17371,x17372)+E(f777(x17373,x17374,x17375,x17371,x17376),f777(x17373,x17374,x17375,x17372,x17376))
% 198.24/198.44 [1738]~E(x17381,x17382)+E(f777(x17383,x17384,x17385,x17386,x17381),f777(x17383,x17384,x17385,x17386,x17382))
% 198.24/198.44 [1739]~E(x17391,x17392)+E(f604(x17391,x17393),f604(x17392,x17393))
% 198.24/198.44 [1740]~E(x17401,x17402)+E(f604(x17403,x17401),f604(x17403,x17402))
% 198.24/198.44 [1741]~E(x17411,x17412)+E(f97(x17411,x17413,x17414,x17415),f97(x17412,x17413,x17414,x17415))
% 198.24/198.44 [1742]~E(x17421,x17422)+E(f97(x17423,x17421,x17424,x17425),f97(x17423,x17422,x17424,x17425))
% 198.24/198.44 [1743]~E(x17431,x17432)+E(f97(x17433,x17434,x17431,x17435),f97(x17433,x17434,x17432,x17435))
% 198.24/198.44 [1744]~E(x17441,x17442)+E(f97(x17443,x17444,x17445,x17441),f97(x17443,x17444,x17445,x17442))
% 198.24/198.44 [1745]~E(x17451,x17452)+E(f627(x17451,x17453,x17454,x17455),f627(x17452,x17453,x17454,x17455))
% 198.24/198.44 [1746]~E(x17461,x17462)+E(f627(x17463,x17461,x17464,x17465),f627(x17463,x17462,x17464,x17465))
% 198.24/198.44 [1747]~E(x17471,x17472)+E(f627(x17473,x17474,x17471,x17475),f627(x17473,x17474,x17472,x17475))
% 198.24/198.44 [1748]~E(x17481,x17482)+E(f627(x17483,x17484,x17485,x17481),f627(x17483,x17484,x17485,x17482))
% 198.24/198.44 [1749]~E(x17491,x17492)+E(f592(x17491,x17493,x17494),f592(x17492,x17493,x17494))
% 198.24/198.44 [1750]~E(x17501,x17502)+E(f592(x17503,x17501,x17504),f592(x17503,x17502,x17504))
% 198.24/198.44 [1751]~E(x17511,x17512)+E(f592(x17513,x17514,x17511),f592(x17513,x17514,x17512))
% 198.24/198.44 [1752]~E(x17521,x17522)+E(f624(x17521,x17523,x17524,x17525,x17526,x17527,x17528),f624(x17522,x17523,x17524,x17525,x17526,x17527,x17528))
% 198.24/198.44 [1753]~E(x17531,x17532)+E(f624(x17533,x17531,x17534,x17535,x17536,x17537,x17538),f624(x17533,x17532,x17534,x17535,x17536,x17537,x17538))
% 198.24/198.44 [1754]~E(x17541,x17542)+E(f624(x17543,x17544,x17541,x17545,x17546,x17547,x17548),f624(x17543,x17544,x17542,x17545,x17546,x17547,x17548))
% 198.24/198.44 [1755]~E(x17551,x17552)+E(f624(x17553,x17554,x17555,x17551,x17556,x17557,x17558),f624(x17553,x17554,x17555,x17552,x17556,x17557,x17558))
% 198.24/198.44 [1756]~E(x17561,x17562)+E(f624(x17563,x17564,x17565,x17566,x17561,x17567,x17568),f624(x17563,x17564,x17565,x17566,x17562,x17567,x17568))
% 198.24/198.44 [1757]~E(x17571,x17572)+E(f624(x17573,x17574,x17575,x17576,x17577,x17571,x17578),f624(x17573,x17574,x17575,x17576,x17577,x17572,x17578))
% 198.24/198.44 [1758]~E(x17581,x17582)+E(f624(x17583,x17584,x17585,x17586,x17587,x17588,x17581),f624(x17583,x17584,x17585,x17586,x17587,x17588,x17582))
% 198.24/198.44 [1759]~E(x17591,x17592)+E(f485(x17591,x17593,x17594),f485(x17592,x17593,x17594))
% 198.24/198.44 [1760]~E(x17601,x17602)+E(f485(x17603,x17601,x17604),f485(x17603,x17602,x17604))
% 198.24/198.44 [1761]~E(x17611,x17612)+E(f485(x17613,x17614,x17611),f485(x17613,x17614,x17612))
% 198.24/198.44 [1762]~E(x17621,x17622)+E(f849(x17621,x17623,x17624),f849(x17622,x17623,x17624))
% 198.24/198.44 [1763]~E(x17631,x17632)+E(f849(x17633,x17631,x17634),f849(x17633,x17632,x17634))
% 198.24/198.44 [1764]~E(x17641,x17642)+E(f849(x17643,x17644,x17641),f849(x17643,x17644,x17642))
% 198.24/198.44 [1765]~E(x17651,x17652)+E(f132(x17651,x17653,x17654,x17655,x17656),f132(x17652,x17653,x17654,x17655,x17656))
% 198.24/198.44 [1766]~E(x17661,x17662)+E(f132(x17663,x17661,x17664,x17665,x17666),f132(x17663,x17662,x17664,x17665,x17666))
% 198.24/198.44 [1767]~E(x17671,x17672)+E(f132(x17673,x17674,x17671,x17675,x17676),f132(x17673,x17674,x17672,x17675,x17676))
% 198.24/198.44 [1768]~E(x17681,x17682)+E(f132(x17683,x17684,x17685,x17681,x17686),f132(x17683,x17684,x17685,x17682,x17686))
% 198.24/198.44 [1769]~E(x17691,x17692)+E(f132(x17693,x17694,x17695,x17696,x17691),f132(x17693,x17694,x17695,x17696,x17692))
% 198.24/198.44 [1770]~E(x17701,x17702)+E(f666(x17701,x17703,x17704,x17705),f666(x17702,x17703,x17704,x17705))
% 198.24/198.44 [1771]~E(x17711,x17712)+E(f666(x17713,x17711,x17714,x17715),f666(x17713,x17712,x17714,x17715))
% 198.24/198.44 [1772]~E(x17721,x17722)+E(f666(x17723,x17724,x17721,x17725),f666(x17723,x17724,x17722,x17725))
% 198.24/198.44 [1773]~E(x17731,x17732)+E(f666(x17733,x17734,x17735,x17731),f666(x17733,x17734,x17735,x17732))
% 198.24/198.44 [1774]~E(x17741,x17742)+E(f468(x17741,x17743,x17744,x17745),f468(x17742,x17743,x17744,x17745))
% 198.24/198.44 [1775]~E(x17751,x17752)+E(f468(x17753,x17751,x17754,x17755),f468(x17753,x17752,x17754,x17755))
% 198.24/198.44 [1776]~E(x17761,x17762)+E(f468(x17763,x17764,x17761,x17765),f468(x17763,x17764,x17762,x17765))
% 198.24/198.44 [1777]~E(x17771,x17772)+E(f468(x17773,x17774,x17775,x17771),f468(x17773,x17774,x17775,x17772))
% 198.24/198.44 [1778]~E(x17781,x17782)+E(f278(x17781,x17783,x17784,x17785),f278(x17782,x17783,x17784,x17785))
% 198.24/198.44 [1779]~E(x17791,x17792)+E(f278(x17793,x17791,x17794,x17795),f278(x17793,x17792,x17794,x17795))
% 198.24/198.44 [1780]~E(x17801,x17802)+E(f278(x17803,x17804,x17801,x17805),f278(x17803,x17804,x17802,x17805))
% 198.24/198.44 [1781]~E(x17811,x17812)+E(f278(x17813,x17814,x17815,x17811),f278(x17813,x17814,x17815,x17812))
% 198.24/198.44 [1782]~E(x17821,x17822)+E(f537(x17821,x17823,x17824,x17825),f537(x17822,x17823,x17824,x17825))
% 198.24/198.44 [1783]~E(x17831,x17832)+E(f537(x17833,x17831,x17834,x17835),f537(x17833,x17832,x17834,x17835))
% 198.24/198.44 [1784]~E(x17841,x17842)+E(f537(x17843,x17844,x17841,x17845),f537(x17843,x17844,x17842,x17845))
% 198.24/198.44 [1785]~E(x17851,x17852)+E(f537(x17853,x17854,x17855,x17851),f537(x17853,x17854,x17855,x17852))
% 198.24/198.44 [1786]~E(x17861,x17862)+E(f533(x17861,x17863,x17864,x17865),f533(x17862,x17863,x17864,x17865))
% 198.24/198.44 [1787]~E(x17871,x17872)+E(f533(x17873,x17871,x17874,x17875),f533(x17873,x17872,x17874,x17875))
% 198.24/198.44 [1788]~E(x17881,x17882)+E(f533(x17883,x17884,x17881,x17885),f533(x17883,x17884,x17882,x17885))
% 198.24/198.44 [1789]~E(x17891,x17892)+E(f533(x17893,x17894,x17895,x17891),f533(x17893,x17894,x17895,x17892))
% 198.24/198.44 [1790]~E(x17901,x17902)+E(f356(x17901,x17903,x17904),f356(x17902,x17903,x17904))
% 198.24/198.44 [1791]~E(x17911,x17912)+E(f356(x17913,x17911,x17914),f356(x17913,x17912,x17914))
% 198.24/198.44 [1792]~E(x17921,x17922)+E(f356(x17923,x17924,x17921),f356(x17923,x17924,x17922))
% 198.24/198.44 [1793]~E(x17931,x17932)+E(f486(x17931,x17933),f486(x17932,x17933))
% 198.24/198.44 [1794]~E(x17941,x17942)+E(f486(x17943,x17941),f486(x17943,x17942))
% 198.24/198.44 [1795]~E(x17951,x17952)+E(f713(x17951,x17953,x17954,x17955),f713(x17952,x17953,x17954,x17955))
% 198.24/198.44 [1796]~E(x17961,x17962)+E(f713(x17963,x17961,x17964,x17965),f713(x17963,x17962,x17964,x17965))
% 198.24/198.44 [1797]~E(x17971,x17972)+E(f713(x17973,x17974,x17971,x17975),f713(x17973,x17974,x17972,x17975))
% 198.24/198.44 [1798]~E(x17981,x17982)+E(f713(x17983,x17984,x17985,x17981),f713(x17983,x17984,x17985,x17982))
% 198.24/198.44 [1799]~E(x17991,x17992)+E(f17(x17991,x17993,x17994,x17995),f17(x17992,x17993,x17994,x17995))
% 198.24/198.44 [1800]~E(x18001,x18002)+E(f17(x18003,x18001,x18004,x18005),f17(x18003,x18002,x18004,x18005))
% 198.24/198.44 [1801]~E(x18011,x18012)+E(f17(x18013,x18014,x18011,x18015),f17(x18013,x18014,x18012,x18015))
% 198.24/198.44 [1802]~E(x18021,x18022)+E(f17(x18023,x18024,x18025,x18021),f17(x18023,x18024,x18025,x18022))
% 198.24/198.44 [1803]~E(x18031,x18032)+E(f633(x18031,x18033,x18034,x18035,x18036,x18037,x18038),f633(x18032,x18033,x18034,x18035,x18036,x18037,x18038))
% 198.24/198.44 [1804]~E(x18041,x18042)+E(f633(x18043,x18041,x18044,x18045,x18046,x18047,x18048),f633(x18043,x18042,x18044,x18045,x18046,x18047,x18048))
% 198.24/198.44 [1805]~E(x18051,x18052)+E(f633(x18053,x18054,x18051,x18055,x18056,x18057,x18058),f633(x18053,x18054,x18052,x18055,x18056,x18057,x18058))
% 198.24/198.44 [1806]~E(x18061,x18062)+E(f633(x18063,x18064,x18065,x18061,x18066,x18067,x18068),f633(x18063,x18064,x18065,x18062,x18066,x18067,x18068))
% 198.24/198.44 [1807]~E(x18071,x18072)+E(f633(x18073,x18074,x18075,x18076,x18071,x18077,x18078),f633(x18073,x18074,x18075,x18076,x18072,x18077,x18078))
% 198.24/198.44 [1808]~E(x18081,x18082)+E(f633(x18083,x18084,x18085,x18086,x18087,x18081,x18088),f633(x18083,x18084,x18085,x18086,x18087,x18082,x18088))
% 198.24/198.44 [1809]~E(x18091,x18092)+E(f633(x18093,x18094,x18095,x18096,x18097,x18098,x18091),f633(x18093,x18094,x18095,x18096,x18097,x18098,x18092))
% 198.24/198.44 [1810]~E(x18101,x18102)+E(f544(x18101,x18103,x18104,x18105,x18106),f544(x18102,x18103,x18104,x18105,x18106))
% 198.24/198.44 [1811]~E(x18111,x18112)+E(f544(x18113,x18111,x18114,x18115,x18116),f544(x18113,x18112,x18114,x18115,x18116))
% 198.24/198.44 [1812]~E(x18121,x18122)+E(f544(x18123,x18124,x18121,x18125,x18126),f544(x18123,x18124,x18122,x18125,x18126))
% 198.24/198.44 [1813]~E(x18131,x18132)+E(f544(x18133,x18134,x18135,x18131,x18136),f544(x18133,x18134,x18135,x18132,x18136))
% 198.24/198.44 [1814]~E(x18141,x18142)+E(f544(x18143,x18144,x18145,x18146,x18141),f544(x18143,x18144,x18145,x18146,x18142))
% 198.24/198.44 [1815]~E(x18151,x18152)+E(f351(x18151),f351(x18152))
% 198.24/198.44 [1816]~E(x18161,x18162)+E(f648(x18161,x18163,x18164,x18165,x18166,x18167,x18168),f648(x18162,x18163,x18164,x18165,x18166,x18167,x18168))
% 198.24/198.44 [1817]~E(x18171,x18172)+E(f648(x18173,x18171,x18174,x18175,x18176,x18177,x18178),f648(x18173,x18172,x18174,x18175,x18176,x18177,x18178))
% 198.24/198.44 [1818]~E(x18181,x18182)+E(f648(x18183,x18184,x18181,x18185,x18186,x18187,x18188),f648(x18183,x18184,x18182,x18185,x18186,x18187,x18188))
% 198.24/198.44 [1819]~E(x18191,x18192)+E(f648(x18193,x18194,x18195,x18191,x18196,x18197,x18198),f648(x18193,x18194,x18195,x18192,x18196,x18197,x18198))
% 198.24/198.44 [1820]~E(x18201,x18202)+E(f648(x18203,x18204,x18205,x18206,x18201,x18207,x18208),f648(x18203,x18204,x18205,x18206,x18202,x18207,x18208))
% 198.24/198.44 [1821]~E(x18211,x18212)+E(f648(x18213,x18214,x18215,x18216,x18217,x18211,x18218),f648(x18213,x18214,x18215,x18216,x18217,x18212,x18218))
% 198.24/198.44 [1822]~E(x18221,x18222)+E(f648(x18223,x18224,x18225,x18226,x18227,x18228,x18221),f648(x18223,x18224,x18225,x18226,x18227,x18228,x18222))
% 198.24/198.44 [1823]~E(x18231,x18232)+E(f549(x18231,x18233),f549(x18232,x18233))
% 198.24/198.44 [1824]~E(x18241,x18242)+E(f549(x18243,x18241),f549(x18243,x18242))
% 198.24/198.44 [1825]~E(x18251,x18252)+E(f342(x18251),f342(x18252))
% 198.24/198.44 [1826]~E(x18261,x18262)+E(f345(x18261),f345(x18262))
% 198.24/198.44 [1827]~E(x18271,x18272)+E(f137(x18271),f137(x18272))
% 198.24/198.44 [1828]~E(x18281,x18282)+E(f208(x18281,x18283,x18284,x18285),f208(x18282,x18283,x18284,x18285))
% 198.24/198.44 [1829]~E(x18291,x18292)+E(f208(x18293,x18291,x18294,x18295),f208(x18293,x18292,x18294,x18295))
% 198.24/198.44 [1830]~E(x18301,x18302)+E(f208(x18303,x18304,x18301,x18305),f208(x18303,x18304,x18302,x18305))
% 198.24/198.44 [1831]~E(x18311,x18312)+E(f208(x18313,x18314,x18315,x18311),f208(x18313,x18314,x18315,x18312))
% 198.24/198.44 [1832]~E(x18321,x18322)+E(f397(x18321,x18323,x18324,x18325),f397(x18322,x18323,x18324,x18325))
% 198.24/198.44 [1833]~E(x18331,x18332)+E(f397(x18333,x18331,x18334,x18335),f397(x18333,x18332,x18334,x18335))
% 198.24/198.44 [1834]~E(x18341,x18342)+E(f397(x18343,x18344,x18341,x18345),f397(x18343,x18344,x18342,x18345))
% 198.24/198.44 [1835]~E(x18351,x18352)+E(f397(x18353,x18354,x18355,x18351),f397(x18353,x18354,x18355,x18352))
% 198.24/198.44 [1836]~E(x18361,x18362)+E(f516(x18361,x18363,x18364,x18365),f516(x18362,x18363,x18364,x18365))
% 198.24/198.44 [1837]~E(x18371,x18372)+E(f516(x18373,x18371,x18374,x18375),f516(x18373,x18372,x18374,x18375))
% 198.24/198.44 [1838]~E(x18381,x18382)+E(f516(x18383,x18384,x18381,x18385),f516(x18383,x18384,x18382,x18385))
% 198.24/198.44 [1839]~E(x18391,x18392)+E(f516(x18393,x18394,x18395,x18391),f516(x18393,x18394,x18395,x18392))
% 198.24/198.44 [1840]~E(x18401,x18402)+E(f875(x18401,x18403,x18404),f875(x18402,x18403,x18404))
% 198.24/198.44 [1841]~E(x18411,x18412)+E(f875(x18413,x18411,x18414),f875(x18413,x18412,x18414))
% 198.24/198.44 [1842]~E(x18421,x18422)+E(f875(x18423,x18424,x18421),f875(x18423,x18424,x18422))
% 198.24/198.44 [1843]~E(x18431,x18432)+E(f638(x18431,x18433,x18434),f638(x18432,x18433,x18434))
% 198.24/198.44 [1844]~E(x18441,x18442)+E(f638(x18443,x18441,x18444),f638(x18443,x18442,x18444))
% 198.24/198.44 [1845]~E(x18451,x18452)+E(f638(x18453,x18454,x18451),f638(x18453,x18454,x18452))
% 198.24/198.44 [1846]~E(x18461,x18462)+E(f409(x18461,x18463,x18464,x18465),f409(x18462,x18463,x18464,x18465))
% 198.24/198.44 [1847]~E(x18471,x18472)+E(f409(x18473,x18471,x18474,x18475),f409(x18473,x18472,x18474,x18475))
% 198.24/198.44 [1848]~E(x18481,x18482)+E(f409(x18483,x18484,x18481,x18485),f409(x18483,x18484,x18482,x18485))
% 198.24/198.44 [1849]~E(x18491,x18492)+E(f409(x18493,x18494,x18495,x18491),f409(x18493,x18494,x18495,x18492))
% 198.24/198.44 [1850]~E(x18501,x18502)+E(f653(x18501,x18503,x18504),f653(x18502,x18503,x18504))
% 198.24/198.44 [1851]~E(x18511,x18512)+E(f653(x18513,x18511,x18514),f653(x18513,x18512,x18514))
% 198.24/198.44 [1852]~E(x18521,x18522)+E(f653(x18523,x18524,x18521),f653(x18523,x18524,x18522))
% 198.24/198.44 [1853]~E(x18531,x18532)+E(f567(x18531,x18533,x18534,x18535,x18536,x18537),f567(x18532,x18533,x18534,x18535,x18536,x18537))
% 198.24/198.44 [1854]~E(x18541,x18542)+E(f567(x18543,x18541,x18544,x18545,x18546,x18547),f567(x18543,x18542,x18544,x18545,x18546,x18547))
% 198.24/198.44 [1855]~E(x18551,x18552)+E(f567(x18553,x18554,x18551,x18555,x18556,x18557),f567(x18553,x18554,x18552,x18555,x18556,x18557))
% 198.24/198.44 [1856]~E(x18561,x18562)+E(f567(x18563,x18564,x18565,x18561,x18566,x18567),f567(x18563,x18564,x18565,x18562,x18566,x18567))
% 198.24/198.44 [1857]~E(x18571,x18572)+E(f567(x18573,x18574,x18575,x18576,x18571,x18577),f567(x18573,x18574,x18575,x18576,x18572,x18577))
% 198.24/198.44 [1858]~E(x18581,x18582)+E(f567(x18583,x18584,x18585,x18586,x18587,x18581),f567(x18583,x18584,x18585,x18586,x18587,x18582))
% 198.24/198.44 [1859]~E(x18591,x18592)+E(f184(x18591),f184(x18592))
% 198.24/198.44 [1860]~E(x18601,x18602)+E(f399(x18601,x18603,x18604,x18605),f399(x18602,x18603,x18604,x18605))
% 198.24/198.44 [1861]~E(x18611,x18612)+E(f399(x18613,x18611,x18614,x18615),f399(x18613,x18612,x18614,x18615))
% 198.24/198.44 [1862]~E(x18621,x18622)+E(f399(x18623,x18624,x18621,x18625),f399(x18623,x18624,x18622,x18625))
% 198.24/198.44 [1863]~E(x18631,x18632)+E(f399(x18633,x18634,x18635,x18631),f399(x18633,x18634,x18635,x18632))
% 198.24/198.44 [1864]~E(x18641,x18642)+E(f494(x18641,x18643,x18644),f494(x18642,x18643,x18644))
% 198.24/198.44 [1865]~E(x18651,x18652)+E(f494(x18653,x18651,x18654),f494(x18653,x18652,x18654))
% 198.24/198.44 [1866]~E(x18661,x18662)+E(f494(x18663,x18664,x18661),f494(x18663,x18664,x18662))
% 198.24/198.44 [1867]~E(x18671,x18672)+E(f775(x18671,x18673,x18674,x18675,x18676),f775(x18672,x18673,x18674,x18675,x18676))
% 198.24/198.44 [1868]~E(x18681,x18682)+E(f775(x18683,x18681,x18684,x18685,x18686),f775(x18683,x18682,x18684,x18685,x18686))
% 198.24/198.44 [1869]~E(x18691,x18692)+E(f775(x18693,x18694,x18691,x18695,x18696),f775(x18693,x18694,x18692,x18695,x18696))
% 198.24/198.44 [1870]~E(x18701,x18702)+E(f775(x18703,x18704,x18705,x18701,x18706),f775(x18703,x18704,x18705,x18702,x18706))
% 198.24/198.44 [1871]~E(x18711,x18712)+E(f775(x18713,x18714,x18715,x18716,x18711),f775(x18713,x18714,x18715,x18716,x18712))
% 198.24/198.44 [1872]~E(x18721,x18722)+E(f401(x18721,x18723,x18724,x18725),f401(x18722,x18723,x18724,x18725))
% 198.24/198.44 [1873]~E(x18731,x18732)+E(f401(x18733,x18731,x18734,x18735),f401(x18733,x18732,x18734,x18735))
% 198.24/198.44 [1874]~E(x18741,x18742)+E(f401(x18743,x18744,x18741,x18745),f401(x18743,x18744,x18742,x18745))
% 198.24/198.44 [1875]~E(x18751,x18752)+E(f401(x18753,x18754,x18755,x18751),f401(x18753,x18754,x18755,x18752))
% 198.24/198.44 [1876]~E(x18761,x18762)+E(f331(x18761,x18763,x18764),f331(x18762,x18763,x18764))
% 198.24/198.44 [1877]~E(x18771,x18772)+E(f331(x18773,x18771,x18774),f331(x18773,x18772,x18774))
% 198.24/198.44 [1878]~E(x18781,x18782)+E(f331(x18783,x18784,x18781),f331(x18783,x18784,x18782))
% 198.24/198.44 [1879]~E(x18791,x18792)+E(f502(x18791),f502(x18792))
% 198.24/198.44 [1880]~E(x18801,x18802)+E(f434(x18801,x18803,x18804),f434(x18802,x18803,x18804))
% 198.24/198.44 [1881]~E(x18811,x18812)+E(f434(x18813,x18811,x18814),f434(x18813,x18812,x18814))
% 198.24/198.44 [1882]~E(x18821,x18822)+E(f434(x18823,x18824,x18821),f434(x18823,x18824,x18822))
% 198.24/198.44 [1883]~E(x18831,x18832)+E(f862(x18831,x18833,x18834,x18835,x18836),f862(x18832,x18833,x18834,x18835,x18836))
% 198.24/198.44 [1884]~E(x18841,x18842)+E(f862(x18843,x18841,x18844,x18845,x18846),f862(x18843,x18842,x18844,x18845,x18846))
% 198.24/198.44 [1885]~E(x18851,x18852)+E(f862(x18853,x18854,x18851,x18855,x18856),f862(x18853,x18854,x18852,x18855,x18856))
% 198.24/198.44 [1886]~E(x18861,x18862)+E(f862(x18863,x18864,x18865,x18861,x18866),f862(x18863,x18864,x18865,x18862,x18866))
% 198.24/198.44 [1887]~E(x18871,x18872)+E(f862(x18873,x18874,x18875,x18876,x18871),f862(x18873,x18874,x18875,x18876,x18872))
% 198.24/198.44 [1888]~E(x18881,x18882)+E(f531(x18881,x18883,x18884,x18885,x18886,x18887),f531(x18882,x18883,x18884,x18885,x18886,x18887))
% 198.24/198.44 [1889]~E(x18891,x18892)+E(f531(x18893,x18891,x18894,x18895,x18896,x18897),f531(x18893,x18892,x18894,x18895,x18896,x18897))
% 198.24/198.44 [1890]~E(x18901,x18902)+E(f531(x18903,x18904,x18901,x18905,x18906,x18907),f531(x18903,x18904,x18902,x18905,x18906,x18907))
% 198.24/198.44 [1891]~E(x18911,x18912)+E(f531(x18913,x18914,x18915,x18911,x18916,x18917),f531(x18913,x18914,x18915,x18912,x18916,x18917))
% 198.24/198.44 [1892]~E(x18921,x18922)+E(f531(x18923,x18924,x18925,x18926,x18921,x18927),f531(x18923,x18924,x18925,x18926,x18922,x18927))
% 198.24/198.44 [1893]~E(x18931,x18932)+E(f531(x18933,x18934,x18935,x18936,x18937,x18931),f531(x18933,x18934,x18935,x18936,x18937,x18932))
% 198.24/198.44 [1894]~E(x18941,x18942)+E(f520(x18941,x18943,x18944,x18945,x18946),f520(x18942,x18943,x18944,x18945,x18946))
% 198.24/198.44 [1895]~E(x18951,x18952)+E(f520(x18953,x18951,x18954,x18955,x18956),f520(x18953,x18952,x18954,x18955,x18956))
% 198.24/198.44 [1896]~E(x18961,x18962)+E(f520(x18963,x18964,x18961,x18965,x18966),f520(x18963,x18964,x18962,x18965,x18966))
% 198.24/198.44 [1897]~E(x18971,x18972)+E(f520(x18973,x18974,x18975,x18971,x18976),f520(x18973,x18974,x18975,x18972,x18976))
% 198.24/198.44 [1898]~E(x18981,x18982)+E(f520(x18983,x18984,x18985,x18986,x18981),f520(x18983,x18984,x18985,x18986,x18982))
% 198.24/198.44 [1899]~E(x18991,x18992)+E(f254(x18991,x18993),f254(x18992,x18993))
% 198.24/198.44 [1900]~E(x19001,x19002)+E(f254(x19003,x19001),f254(x19003,x19002))
% 198.24/198.44 [1901]~E(x19011,x19012)+E(f541(x19011,x19013,x19014,x19015,x19016),f541(x19012,x19013,x19014,x19015,x19016))
% 198.24/198.44 [1902]~E(x19021,x19022)+E(f541(x19023,x19021,x19024,x19025,x19026),f541(x19023,x19022,x19024,x19025,x19026))
% 198.24/198.44 [1903]~E(x19031,x19032)+E(f541(x19033,x19034,x19031,x19035,x19036),f541(x19033,x19034,x19032,x19035,x19036))
% 198.24/198.44 [1904]~E(x19041,x19042)+E(f541(x19043,x19044,x19045,x19041,x19046),f541(x19043,x19044,x19045,x19042,x19046))
% 198.24/198.44 [1905]~E(x19051,x19052)+E(f541(x19053,x19054,x19055,x19056,x19051),f541(x19053,x19054,x19055,x19056,x19052))
% 198.24/198.44 [1906]~E(x19061,x19062)+E(f359(x19061,x19063),f359(x19062,x19063))
% 198.24/198.44 [1907]~E(x19071,x19072)+E(f359(x19073,x19071),f359(x19073,x19072))
% 198.24/198.44 [1908]~E(x19081,x19082)+E(f304(x19081,x19083,x19084,x19085),f304(x19082,x19083,x19084,x19085))
% 198.24/198.44 [1909]~E(x19091,x19092)+E(f304(x19093,x19091,x19094,x19095),f304(x19093,x19092,x19094,x19095))
% 198.24/198.44 [1910]~E(x19101,x19102)+E(f304(x19103,x19104,x19101,x19105),f304(x19103,x19104,x19102,x19105))
% 198.24/198.44 [1911]~E(x19111,x19112)+E(f304(x19113,x19114,x19115,x19111),f304(x19113,x19114,x19115,x19112))
% 198.24/198.44 [1912]~E(x19121,x19122)+E(f670(x19121,x19123,x19124,x19125,x19126,x19127),f670(x19122,x19123,x19124,x19125,x19126,x19127))
% 198.24/198.44 [1913]~E(x19131,x19132)+E(f670(x19133,x19131,x19134,x19135,x19136,x19137),f670(x19133,x19132,x19134,x19135,x19136,x19137))
% 198.24/198.44 [1914]~E(x19141,x19142)+E(f670(x19143,x19144,x19141,x19145,x19146,x19147),f670(x19143,x19144,x19142,x19145,x19146,x19147))
% 198.24/198.44 [1915]~E(x19151,x19152)+E(f670(x19153,x19154,x19155,x19151,x19156,x19157),f670(x19153,x19154,x19155,x19152,x19156,x19157))
% 198.24/198.44 [1916]~E(x19161,x19162)+E(f670(x19163,x19164,x19165,x19166,x19161,x19167),f670(x19163,x19164,x19165,x19166,x19162,x19167))
% 198.24/198.44 [1917]~E(x19171,x19172)+E(f670(x19173,x19174,x19175,x19176,x19177,x19171),f670(x19173,x19174,x19175,x19176,x19177,x19172))
% 198.24/198.44 [1918]~E(x19181,x19182)+E(f120(x19181,x19183,x19184),f120(x19182,x19183,x19184))
% 198.24/198.44 [1919]~E(x19191,x19192)+E(f120(x19193,x19191,x19194),f120(x19193,x19192,x19194))
% 198.24/198.44 [1920]~E(x19201,x19202)+E(f120(x19203,x19204,x19201),f120(x19203,x19204,x19202))
% 198.24/198.44 [1921]~E(x19211,x19212)+E(f478(x19211,x19213,x19214,x19215,x19216),f478(x19212,x19213,x19214,x19215,x19216))
% 198.24/198.44 [1922]~E(x19221,x19222)+E(f478(x19223,x19221,x19224,x19225,x19226),f478(x19223,x19222,x19224,x19225,x19226))
% 198.24/198.44 [1923]~E(x19231,x19232)+E(f478(x19233,x19234,x19231,x19235,x19236),f478(x19233,x19234,x19232,x19235,x19236))
% 198.24/198.44 [1924]~E(x19241,x19242)+E(f478(x19243,x19244,x19245,x19241,x19246),f478(x19243,x19244,x19245,x19242,x19246))
% 198.24/198.44 [1925]~E(x19251,x19252)+E(f478(x19253,x19254,x19255,x19256,x19251),f478(x19253,x19254,x19255,x19256,x19252))
% 198.24/198.44 [1926]~E(x19261,x19262)+E(f207(x19261,x19263,x19264,x19265),f207(x19262,x19263,x19264,x19265))
% 198.24/198.44 [1927]~E(x19271,x19272)+E(f207(x19273,x19271,x19274,x19275),f207(x19273,x19272,x19274,x19275))
% 198.24/198.44 [1928]~E(x19281,x19282)+E(f207(x19283,x19284,x19281,x19285),f207(x19283,x19284,x19282,x19285))
% 198.24/198.44 [1929]~E(x19291,x19292)+E(f207(x19293,x19294,x19295,x19291),f207(x19293,x19294,x19295,x19292))
% 198.24/198.44 [1930]~E(x19301,x19302)+E(f362(x19301),f362(x19302))
% 198.24/198.44 [1931]~E(x19311,x19312)+E(f373(x19311,x19313),f373(x19312,x19313))
% 198.24/198.44 [1932]~E(x19321,x19322)+E(f373(x19323,x19321),f373(x19323,x19322))
% 198.24/198.44 [1933]~E(x19331,x19332)+E(f389(x19331,x19333,x19334,x19335),f389(x19332,x19333,x19334,x19335))
% 198.24/198.44 [1934]~E(x19341,x19342)+E(f389(x19343,x19341,x19344,x19345),f389(x19343,x19342,x19344,x19345))
% 198.24/198.44 [1935]~E(x19351,x19352)+E(f389(x19353,x19354,x19351,x19355),f389(x19353,x19354,x19352,x19355))
% 198.24/198.44 [1936]~E(x19361,x19362)+E(f389(x19363,x19364,x19365,x19361),f389(x19363,x19364,x19365,x19362))
% 198.24/198.44 [1937]~E(x19371,x19372)+E(f459(x19371,x19373,x19374,x19375),f459(x19372,x19373,x19374,x19375))
% 198.24/198.44 [1938]~E(x19381,x19382)+E(f459(x19383,x19381,x19384,x19385),f459(x19383,x19382,x19384,x19385))
% 198.24/198.44 [1939]~E(x19391,x19392)+E(f459(x19393,x19394,x19391,x19395),f459(x19393,x19394,x19392,x19395))
% 198.24/198.44 [1940]~E(x19401,x19402)+E(f459(x19403,x19404,x19405,x19401),f459(x19403,x19404,x19405,x19402))
% 198.24/198.44 [1941]~E(x19411,x19412)+E(f739(x19411,x19413,x19414,x19415,x19416),f739(x19412,x19413,x19414,x19415,x19416))
% 198.24/198.44 [1942]~E(x19421,x19422)+E(f739(x19423,x19421,x19424,x19425,x19426),f739(x19423,x19422,x19424,x19425,x19426))
% 198.24/198.44 [1943]~E(x19431,x19432)+E(f739(x19433,x19434,x19431,x19435,x19436),f739(x19433,x19434,x19432,x19435,x19436))
% 198.24/198.44 [1944]~E(x19441,x19442)+E(f739(x19443,x19444,x19445,x19441,x19446),f739(x19443,x19444,x19445,x19442,x19446))
% 198.24/198.44 [1945]~E(x19451,x19452)+E(f739(x19453,x19454,x19455,x19456,x19451),f739(x19453,x19454,x19455,x19456,x19452))
% 198.24/198.44 [1946]~E(x19461,x19462)+E(f631(x19461,x19463,x19464),f631(x19462,x19463,x19464))
% 198.24/198.44 [1947]~E(x19471,x19472)+E(f631(x19473,x19471,x19474),f631(x19473,x19472,x19474))
% 198.24/198.44 [1948]~E(x19481,x19482)+E(f631(x19483,x19484,x19481),f631(x19483,x19484,x19482))
% 198.24/198.44 [1949]~E(x19491,x19492)+E(f578(x19491,x19493,x19494),f578(x19492,x19493,x19494))
% 198.24/198.44 [1950]~E(x19501,x19502)+E(f578(x19503,x19501,x19504),f578(x19503,x19502,x19504))
% 198.24/198.44 [1951]~E(x19511,x19512)+E(f578(x19513,x19514,x19511),f578(x19513,x19514,x19512))
% 198.24/198.44 [1952]~E(x19521,x19522)+E(f473(x19521,x19523,x19524,x19525),f473(x19522,x19523,x19524,x19525))
% 198.24/198.44 [1953]~E(x19531,x19532)+E(f473(x19533,x19531,x19534,x19535),f473(x19533,x19532,x19534,x19535))
% 198.24/198.44 [1954]~E(x19541,x19542)+E(f473(x19543,x19544,x19541,x19545),f473(x19543,x19544,x19542,x19545))
% 198.24/198.44 [1955]~E(x19551,x19552)+E(f473(x19553,x19554,x19555,x19551),f473(x19553,x19554,x19555,x19552))
% 198.24/198.44 [1956]~E(x19561,x19562)+E(f595(x19561,x19563,x19564),f595(x19562,x19563,x19564))
% 198.24/198.44 [1957]~E(x19571,x19572)+E(f595(x19573,x19571,x19574),f595(x19573,x19572,x19574))
% 198.24/198.44 [1958]~E(x19581,x19582)+E(f595(x19583,x19584,x19581),f595(x19583,x19584,x19582))
% 198.24/198.44 [1959]~E(x19591,x19592)+E(f166(x19591,x19593,x19594,x19595),f166(x19592,x19593,x19594,x19595))
% 198.24/198.44 [1960]~E(x19601,x19602)+E(f166(x19603,x19601,x19604,x19605),f166(x19603,x19602,x19604,x19605))
% 198.24/198.44 [1961]~E(x19611,x19612)+E(f166(x19613,x19614,x19611,x19615),f166(x19613,x19614,x19612,x19615))
% 198.24/198.44 [1962]~E(x19621,x19622)+E(f166(x19623,x19624,x19625,x19621),f166(x19623,x19624,x19625,x19622))
% 198.24/198.44 [1963]~E(x19631,x19632)+E(f438(x19631,x19633,x19634),f438(x19632,x19633,x19634))
% 198.24/198.44 [1964]~E(x19641,x19642)+E(f438(x19643,x19641,x19644),f438(x19643,x19642,x19644))
% 198.24/198.44 [1965]~E(x19651,x19652)+E(f438(x19653,x19654,x19651),f438(x19653,x19654,x19652))
% 198.24/198.44 [1966]~E(x19661,x19662)+E(f839(x19661,x19663,x19664,x19665,x19666,x19667,x19668),f839(x19662,x19663,x19664,x19665,x19666,x19667,x19668))
% 198.24/198.44 [1967]~E(x19671,x19672)+E(f839(x19673,x19671,x19674,x19675,x19676,x19677,x19678),f839(x19673,x19672,x19674,x19675,x19676,x19677,x19678))
% 198.24/198.44 [1968]~E(x19681,x19682)+E(f839(x19683,x19684,x19681,x19685,x19686,x19687,x19688),f839(x19683,x19684,x19682,x19685,x19686,x19687,x19688))
% 198.24/198.44 [1969]~E(x19691,x19692)+E(f839(x19693,x19694,x19695,x19691,x19696,x19697,x19698),f839(x19693,x19694,x19695,x19692,x19696,x19697,x19698))
% 198.24/198.44 [1970]~E(x19701,x19702)+E(f839(x19703,x19704,x19705,x19706,x19701,x19707,x19708),f839(x19703,x19704,x19705,x19706,x19702,x19707,x19708))
% 198.24/198.44 [1971]~E(x19711,x19712)+E(f839(x19713,x19714,x19715,x19716,x19717,x19711,x19718),f839(x19713,x19714,x19715,x19716,x19717,x19712,x19718))
% 198.24/198.44 [1972]~E(x19721,x19722)+E(f839(x19723,x19724,x19725,x19726,x19727,x19728,x19721),f839(x19723,x19724,x19725,x19726,x19727,x19728,x19722))
% 198.24/198.44 [1973]~E(x19731,x19732)+E(f497(x19731,x19733,x19734,x19735,x19736,x19737),f497(x19732,x19733,x19734,x19735,x19736,x19737))
% 198.24/198.44 [1974]~E(x19741,x19742)+E(f497(x19743,x19741,x19744,x19745,x19746,x19747),f497(x19743,x19742,x19744,x19745,x19746,x19747))
% 198.24/198.44 [1975]~E(x19751,x19752)+E(f497(x19753,x19754,x19751,x19755,x19756,x19757),f497(x19753,x19754,x19752,x19755,x19756,x19757))
% 198.24/198.44 [1976]~E(x19761,x19762)+E(f497(x19763,x19764,x19765,x19761,x19766,x19767),f497(x19763,x19764,x19765,x19762,x19766,x19767))
% 198.24/198.44 [1977]~E(x19771,x19772)+E(f497(x19773,x19774,x19775,x19776,x19771,x19777),f497(x19773,x19774,x19775,x19776,x19772,x19777))
% 198.24/198.44 [1978]~E(x19781,x19782)+E(f497(x19783,x19784,x19785,x19786,x19787,x19781),f497(x19783,x19784,x19785,x19786,x19787,x19782))
% 198.24/198.44 [1979]~E(x19791,x19792)+E(f446(x19791,x19793),f446(x19792,x19793))
% 198.24/198.44 [1980]~E(x19801,x19802)+E(f446(x19803,x19801),f446(x19803,x19802))
% 198.24/198.44 [1981]~E(x19811,x19812)+E(f348(x19811,x19813),f348(x19812,x19813))
% 198.24/198.44 [1982]~E(x19821,x19822)+E(f348(x19823,x19821),f348(x19823,x19822))
% 198.24/198.44 [1983]~E(x19831,x19832)+E(f708(x19831,x19833,x19834),f708(x19832,x19833,x19834))
% 198.24/198.44 [1984]~E(x19841,x19842)+E(f708(x19843,x19841,x19844),f708(x19843,x19842,x19844))
% 198.24/198.44 [1985]~E(x19851,x19852)+E(f708(x19853,x19854,x19851),f708(x19853,x19854,x19852))
% 198.24/198.44 [1986]~E(x19861,x19862)+E(f360(x19861),f360(x19862))
% 198.24/198.44 [1987]~E(x19871,x19872)+E(f861(x19871,x19873,x19874,x19875,x19876),f861(x19872,x19873,x19874,x19875,x19876))
% 198.24/198.44 [1988]~E(x19881,x19882)+E(f861(x19883,x19881,x19884,x19885,x19886),f861(x19883,x19882,x19884,x19885,x19886))
% 198.24/198.44 [1989]~E(x19891,x19892)+E(f861(x19893,x19894,x19891,x19895,x19896),f861(x19893,x19894,x19892,x19895,x19896))
% 198.24/198.44 [1990]~E(x19901,x19902)+E(f861(x19903,x19904,x19905,x19901,x19906),f861(x19903,x19904,x19905,x19902,x19906))
% 198.24/198.44 [1991]~E(x19911,x19912)+E(f861(x19913,x19914,x19915,x19916,x19911),f861(x19913,x19914,x19915,x19916,x19912))
% 198.24/198.44 [1992]~E(x19921,x19922)+E(f584(x19921,x19923,x19924,x19925,x19926),f584(x19922,x19923,x19924,x19925,x19926))
% 198.24/198.44 [1993]~E(x19931,x19932)+E(f584(x19933,x19931,x19934,x19935,x19936),f584(x19933,x19932,x19934,x19935,x19936))
% 198.24/198.44 [1994]~E(x19941,x19942)+E(f584(x19943,x19944,x19941,x19945,x19946),f584(x19943,x19944,x19942,x19945,x19946))
% 198.24/198.44 [1995]~E(x19951,x19952)+E(f584(x19953,x19954,x19955,x19951,x19956),f584(x19953,x19954,x19955,x19952,x19956))
% 198.24/198.44 [1996]~E(x19961,x19962)+E(f584(x19963,x19964,x19965,x19966,x19961),f584(x19963,x19964,x19965,x19966,x19962))
% 198.24/198.44 [1997]~E(x19971,x19972)+E(f381(x19971),f381(x19972))
% 198.24/198.44 [1998]~E(x19981,x19982)+E(f729(x19981,x19983,x19984),f729(x19982,x19983,x19984))
% 198.24/198.44 [1999]~E(x19991,x19992)+E(f729(x19993,x19991,x19994),f729(x19993,x19992,x19994))
% 198.24/198.44 [2000]~E(x20001,x20002)+E(f729(x20003,x20004,x20001),f729(x20003,x20004,x20002))
% 198.24/198.44 [2001]~E(x20011,x20012)+E(f625(x20011,x20013,x20014,x20015,x20016),f625(x20012,x20013,x20014,x20015,x20016))
% 198.24/198.44 [2002]~E(x20021,x20022)+E(f625(x20023,x20021,x20024,x20025,x20026),f625(x20023,x20022,x20024,x20025,x20026))
% 198.24/198.44 [2003]~E(x20031,x20032)+E(f625(x20033,x20034,x20031,x20035,x20036),f625(x20033,x20034,x20032,x20035,x20036))
% 198.24/198.44 [2004]~E(x20041,x20042)+E(f625(x20043,x20044,x20045,x20041,x20046),f625(x20043,x20044,x20045,x20042,x20046))
% 198.24/198.44 [2005]~E(x20051,x20052)+E(f625(x20053,x20054,x20055,x20056,x20051),f625(x20053,x20054,x20055,x20056,x20052))
% 198.24/198.44 [2006]~E(x20061,x20062)+E(f859(x20061,x20063,x20064,x20065,x20066),f859(x20062,x20063,x20064,x20065,x20066))
% 198.24/198.44 [2007]~E(x20071,x20072)+E(f859(x20073,x20071,x20074,x20075,x20076),f859(x20073,x20072,x20074,x20075,x20076))
% 198.24/198.44 [2008]~E(x20081,x20082)+E(f859(x20083,x20084,x20081,x20085,x20086),f859(x20083,x20084,x20082,x20085,x20086))
% 198.24/198.44 [2009]~E(x20091,x20092)+E(f859(x20093,x20094,x20095,x20091,x20096),f859(x20093,x20094,x20095,x20092,x20096))
% 198.24/198.44 [2010]~E(x20101,x20102)+E(f859(x20103,x20104,x20105,x20106,x20101),f859(x20103,x20104,x20105,x20106,x20102))
% 198.24/198.44 [2011]~E(x20111,x20112)+E(f737(x20111,x20113,x20114),f737(x20112,x20113,x20114))
% 198.24/198.44 [2012]~E(x20121,x20122)+E(f737(x20123,x20121,x20124),f737(x20123,x20122,x20124))
% 198.24/198.44 [2013]~E(x20131,x20132)+E(f737(x20133,x20134,x20131),f737(x20133,x20134,x20132))
% 198.24/198.44 [2014]~E(x20141,x20142)+E(f555(x20141,x20143),f555(x20142,x20143))
% 198.24/198.44 [2015]~E(x20151,x20152)+E(f555(x20153,x20151),f555(x20153,x20152))
% 198.24/198.44 [2016]~E(x20161,x20162)+E(f593(x20161,x20163,x20164),f593(x20162,x20163,x20164))
% 198.24/198.44 [2017]~E(x20171,x20172)+E(f593(x20173,x20171,x20174),f593(x20173,x20172,x20174))
% 198.24/198.44 [2018]~E(x20181,x20182)+E(f593(x20183,x20184,x20181),f593(x20183,x20184,x20182))
% 198.24/198.44 [2019]~E(x20191,x20192)+E(f660(x20191,x20193,x20194,x20195),f660(x20192,x20193,x20194,x20195))
% 198.24/198.44 [2020]~E(x20201,x20202)+E(f660(x20203,x20201,x20204,x20205),f660(x20203,x20202,x20204,x20205))
% 198.24/198.44 [2021]~E(x20211,x20212)+E(f660(x20213,x20214,x20211,x20215),f660(x20213,x20214,x20212,x20215))
% 198.24/198.44 [2022]~E(x20221,x20222)+E(f660(x20223,x20224,x20225,x20221),f660(x20223,x20224,x20225,x20222))
% 198.24/198.44 [2023]~E(x20231,x20232)+E(f364(x20231),f364(x20232))
% 198.24/198.44 [2024]~E(x20241,x20242)+E(f837(x20241,x20243,x20244),f837(x20242,x20243,x20244))
% 198.24/198.44 [2025]~E(x20251,x20252)+E(f837(x20253,x20251,x20254),f837(x20253,x20252,x20254))
% 198.24/198.44 [2026]~E(x20261,x20262)+E(f837(x20263,x20264,x20261),f837(x20263,x20264,x20262))
% 198.24/198.44 [2027]~E(x20271,x20272)+E(f751(x20271,x20273,x20274),f751(x20272,x20273,x20274))
% 198.24/198.44 [2028]~E(x20281,x20282)+E(f751(x20283,x20281,x20284),f751(x20283,x20282,x20284))
% 198.24/198.44 [2029]~E(x20291,x20292)+E(f751(x20293,x20294,x20291),f751(x20293,x20294,x20292))
% 198.24/198.44 [2030]~E(x20301,x20302)+E(f553(x20301,x20303,x20304,x20305,x20306),f553(x20302,x20303,x20304,x20305,x20306))
% 198.24/198.44 [2031]~E(x20311,x20312)+E(f553(x20313,x20311,x20314,x20315,x20316),f553(x20313,x20312,x20314,x20315,x20316))
% 198.24/198.44 [2032]~E(x20321,x20322)+E(f553(x20323,x20324,x20321,x20325,x20326),f553(x20323,x20324,x20322,x20325,x20326))
% 198.24/198.44 [2033]~E(x20331,x20332)+E(f553(x20333,x20334,x20335,x20331,x20336),f553(x20333,x20334,x20335,x20332,x20336))
% 198.24/198.44 [2034]~E(x20341,x20342)+E(f553(x20343,x20344,x20345,x20346,x20341),f553(x20343,x20344,x20345,x20346,x20342))
% 198.24/198.44 [2035]~E(x20351,x20352)+E(f628(x20351,x20353,x20354,x20355,x20356),f628(x20352,x20353,x20354,x20355,x20356))
% 198.24/198.44 [2036]~E(x20361,x20362)+E(f628(x20363,x20361,x20364,x20365,x20366),f628(x20363,x20362,x20364,x20365,x20366))
% 198.24/198.44 [2037]~E(x20371,x20372)+E(f628(x20373,x20374,x20371,x20375,x20376),f628(x20373,x20374,x20372,x20375,x20376))
% 198.24/198.44 [2038]~E(x20381,x20382)+E(f628(x20383,x20384,x20385,x20381,x20386),f628(x20383,x20384,x20385,x20382,x20386))
% 198.24/198.44 [2039]~E(x20391,x20392)+E(f628(x20393,x20394,x20395,x20396,x20391),f628(x20393,x20394,x20395,x20396,x20392))
% 198.24/198.44 [2040]~E(x20401,x20402)+E(f585(x20401,x20403,x20404),f585(x20402,x20403,x20404))
% 198.24/198.44 [2041]~E(x20411,x20412)+E(f585(x20413,x20411,x20414),f585(x20413,x20412,x20414))
% 198.24/198.44 [2042]~E(x20421,x20422)+E(f585(x20423,x20424,x20421),f585(x20423,x20424,x20422))
% 198.24/198.44 [2043]~E(x20431,x20432)+E(f640(x20431,x20433,x20434),f640(x20432,x20433,x20434))
% 198.24/198.44 [2044]~E(x20441,x20442)+E(f640(x20443,x20441,x20444),f640(x20443,x20442,x20444))
% 198.24/198.44 [2045]~E(x20451,x20452)+E(f640(x20453,x20454,x20451),f640(x20453,x20454,x20452))
% 198.24/198.44 [2046]~E(x20461,x20462)+E(f375(x20461,x20463),f375(x20462,x20463))
% 198.24/198.44 [2047]~E(x20471,x20472)+E(f375(x20473,x20471),f375(x20473,x20472))
% 198.24/198.44 [2048]~E(x20481,x20482)+E(f695(x20481,x20483,x20484),f695(x20482,x20483,x20484))
% 198.24/198.44 [2049]~E(x20491,x20492)+E(f695(x20493,x20491,x20494),f695(x20493,x20492,x20494))
% 198.24/198.44 [2050]~E(x20501,x20502)+E(f695(x20503,x20504,x20501),f695(x20503,x20504,x20502))
% 198.24/198.44 [2051]~E(x20511,x20512)+E(f247(x20511,x20513,x20514,x20515,x20516),f247(x20512,x20513,x20514,x20515,x20516))
% 198.24/198.44 [2052]~E(x20521,x20522)+E(f247(x20523,x20521,x20524,x20525,x20526),f247(x20523,x20522,x20524,x20525,x20526))
% 198.24/198.44 [2053]~E(x20531,x20532)+E(f247(x20533,x20534,x20531,x20535,x20536),f247(x20533,x20534,x20532,x20535,x20536))
% 198.24/198.44 [2054]~E(x20541,x20542)+E(f247(x20543,x20544,x20545,x20541,x20546),f247(x20543,x20544,x20545,x20542,x20546))
% 198.24/198.44 [2055]~E(x20551,x20552)+E(f247(x20553,x20554,x20555,x20556,x20551),f247(x20553,x20554,x20555,x20556,x20552))
% 198.24/198.44 [2056]~E(x20561,x20562)+E(f384(x20561,x20563,x20564),f384(x20562,x20563,x20564))
% 198.24/198.44 [2057]~E(x20571,x20572)+E(f384(x20573,x20571,x20574),f384(x20573,x20572,x20574))
% 198.24/198.44 [2058]~E(x20581,x20582)+E(f384(x20583,x20584,x20581),f384(x20583,x20584,x20582))
% 198.24/198.44 [2059]~E(x20591,x20592)+E(f525(x20591,x20593,x20594,x20595),f525(x20592,x20593,x20594,x20595))
% 198.24/198.44 [2060]~E(x20601,x20602)+E(f525(x20603,x20601,x20604,x20605),f525(x20603,x20602,x20604,x20605))
% 198.24/198.44 [2061]~E(x20611,x20612)+E(f525(x20613,x20614,x20611,x20615),f525(x20613,x20614,x20612,x20615))
% 198.24/198.44 [2062]~E(x20621,x20622)+E(f525(x20623,x20624,x20625,x20621),f525(x20623,x20624,x20625,x20622))
% 198.24/198.44 [2063]~E(x20631,x20632)+E(f763(x20631,x20633,x20634,x20635),f763(x20632,x20633,x20634,x20635))
% 198.24/198.44 [2064]~E(x20641,x20642)+E(f763(x20643,x20641,x20644,x20645),f763(x20643,x20642,x20644,x20645))
% 198.24/198.44 [2065]~E(x20651,x20652)+E(f763(x20653,x20654,x20651,x20655),f763(x20653,x20654,x20652,x20655))
% 198.24/198.44 [2066]~E(x20661,x20662)+E(f763(x20663,x20664,x20665,x20661),f763(x20663,x20664,x20665,x20662))
% 198.24/198.44 [2067]~E(x20671,x20672)+E(f448(x20671,x20673,x20674),f448(x20672,x20673,x20674))
% 198.24/198.44 [2068]~E(x20681,x20682)+E(f448(x20683,x20681,x20684),f448(x20683,x20682,x20684))
% 198.24/198.44 [2069]~E(x20691,x20692)+E(f448(x20693,x20694,x20691),f448(x20693,x20694,x20692))
% 198.24/198.44 [2070]~E(x20701,x20702)+E(f405(x20701,x20703),f405(x20702,x20703))
% 198.24/198.44 [2071]~E(x20711,x20712)+E(f405(x20713,x20711),f405(x20713,x20712))
% 198.24/198.44 [2072]~E(x20721,x20722)+E(f470(x20721,x20723,x20724,x20725,x20726),f470(x20722,x20723,x20724,x20725,x20726))
% 198.24/198.44 [2073]~E(x20731,x20732)+E(f470(x20733,x20731,x20734,x20735,x20736),f470(x20733,x20732,x20734,x20735,x20736))
% 198.24/198.44 [2074]~E(x20741,x20742)+E(f470(x20743,x20744,x20741,x20745,x20746),f470(x20743,x20744,x20742,x20745,x20746))
% 198.24/198.44 [2075]~E(x20751,x20752)+E(f470(x20753,x20754,x20755,x20751,x20756),f470(x20753,x20754,x20755,x20752,x20756))
% 198.24/198.44 [2076]~E(x20761,x20762)+E(f470(x20763,x20764,x20765,x20766,x20761),f470(x20763,x20764,x20765,x20766,x20762))
% 198.24/198.44 [2077]~E(x20771,x20772)+E(f378(x20771,x20773,x20774,x20775),f378(x20772,x20773,x20774,x20775))
% 198.24/198.44 [2078]~E(x20781,x20782)+E(f378(x20783,x20781,x20784,x20785),f378(x20783,x20782,x20784,x20785))
% 198.24/198.44 [2079]~E(x20791,x20792)+E(f378(x20793,x20794,x20791,x20795),f378(x20793,x20794,x20792,x20795))
% 198.24/198.44 [2080]~E(x20801,x20802)+E(f378(x20803,x20804,x20805,x20801),f378(x20803,x20804,x20805,x20802))
% 198.24/198.44 [2081]~E(x20811,x20812)+E(f778(x20811,x20813,x20814,x20815,x20816),f778(x20812,x20813,x20814,x20815,x20816))
% 198.24/198.44 [2082]~E(x20821,x20822)+E(f778(x20823,x20821,x20824,x20825,x20826),f778(x20823,x20822,x20824,x20825,x20826))
% 198.24/198.44 [2083]~E(x20831,x20832)+E(f778(x20833,x20834,x20831,x20835,x20836),f778(x20833,x20834,x20832,x20835,x20836))
% 198.24/198.44 [2084]~E(x20841,x20842)+E(f778(x20843,x20844,x20845,x20841,x20846),f778(x20843,x20844,x20845,x20842,x20846))
% 198.24/198.44 [2085]~E(x20851,x20852)+E(f778(x20853,x20854,x20855,x20856,x20851),f778(x20853,x20854,x20855,x20856,x20852))
% 198.24/198.44 [2086]~E(x20861,x20862)+E(f776(x20861,x20863,x20864,x20865,x20866),f776(x20862,x20863,x20864,x20865,x20866))
% 198.24/198.44 [2087]~E(x20871,x20872)+E(f776(x20873,x20871,x20874,x20875,x20876),f776(x20873,x20872,x20874,x20875,x20876))
% 198.24/198.44 [2088]~E(x20881,x20882)+E(f776(x20883,x20884,x20881,x20885,x20886),f776(x20883,x20884,x20882,x20885,x20886))
% 198.24/198.44 [2089]~E(x20891,x20892)+E(f776(x20893,x20894,x20895,x20891,x20896),f776(x20893,x20894,x20895,x20892,x20896))
% 198.24/198.44 [2090]~E(x20901,x20902)+E(f776(x20903,x20904,x20905,x20906,x20901),f776(x20903,x20904,x20905,x20906,x20902))
% 198.24/198.44 [2091]~E(x20911,x20912)+E(f462(x20911,x20913,x20914,x20915,x20916),f462(x20912,x20913,x20914,x20915,x20916))
% 198.24/198.44 [2092]~E(x20921,x20922)+E(f462(x20923,x20921,x20924,x20925,x20926),f462(x20923,x20922,x20924,x20925,x20926))
% 198.24/198.44 [2093]~E(x20931,x20932)+E(f462(x20933,x20934,x20931,x20935,x20936),f462(x20933,x20934,x20932,x20935,x20936))
% 198.24/198.44 [2094]~E(x20941,x20942)+E(f462(x20943,x20944,x20945,x20941,x20946),f462(x20943,x20944,x20945,x20942,x20946))
% 198.24/198.44 [2095]~E(x20951,x20952)+E(f462(x20953,x20954,x20955,x20956,x20951),f462(x20953,x20954,x20955,x20956,x20952))
% 198.24/198.44 [2096]~E(x20961,x20962)+E(f224(x20961,x20963,x20964,x20965,x20966,x20967,x20968),f224(x20962,x20963,x20964,x20965,x20966,x20967,x20968))
% 198.24/198.44 [2097]~E(x20971,x20972)+E(f224(x20973,x20971,x20974,x20975,x20976,x20977,x20978),f224(x20973,x20972,x20974,x20975,x20976,x20977,x20978))
% 198.24/198.44 [2098]~E(x20981,x20982)+E(f224(x20983,x20984,x20981,x20985,x20986,x20987,x20988),f224(x20983,x20984,x20982,x20985,x20986,x20987,x20988))
% 198.24/198.44 [2099]~E(x20991,x20992)+E(f224(x20993,x20994,x20995,x20991,x20996,x20997,x20998),f224(x20993,x20994,x20995,x20992,x20996,x20997,x20998))
% 198.24/198.44 [2100]~E(x21001,x21002)+E(f224(x21003,x21004,x21005,x21006,x21001,x21007,x21008),f224(x21003,x21004,x21005,x21006,x21002,x21007,x21008))
% 198.24/198.44 [2101]~E(x21011,x21012)+E(f224(x21013,x21014,x21015,x21016,x21017,x21011,x21018),f224(x21013,x21014,x21015,x21016,x21017,x21012,x21018))
% 198.24/198.44 [2102]~E(x21021,x21022)+E(f224(x21023,x21024,x21025,x21026,x21027,x21028,x21021),f224(x21023,x21024,x21025,x21026,x21027,x21028,x21022))
% 198.24/198.44 [2103]~E(x21031,x21032)+E(f458(x21031,x21033,x21034,x21035),f458(x21032,x21033,x21034,x21035))
% 198.24/198.44 [2104]~E(x21041,x21042)+E(f458(x21043,x21041,x21044,x21045),f458(x21043,x21042,x21044,x21045))
% 198.24/198.44 [2105]~E(x21051,x21052)+E(f458(x21053,x21054,x21051,x21055),f458(x21053,x21054,x21052,x21055))
% 198.24/198.44 [2106]~E(x21061,x21062)+E(f458(x21063,x21064,x21065,x21061),f458(x21063,x21064,x21065,x21062))
% 198.24/198.44 [2107]~E(x21071,x21072)+E(f724(x21071,x21073),f724(x21072,x21073))
% 198.24/198.44 [2108]~E(x21081,x21082)+E(f724(x21083,x21081),f724(x21083,x21082))
% 198.24/198.44 [2109]~E(x21091,x21092)+E(f419(x21091,x21093,x21094),f419(x21092,x21093,x21094))
% 198.24/198.44 [2110]~E(x21101,x21102)+E(f419(x21103,x21101,x21104),f419(x21103,x21102,x21104))
% 198.24/198.44 [2111]~E(x21111,x21112)+E(f419(x21113,x21114,x21111),f419(x21113,x21114,x21112))
% 198.24/198.44 [2112]~E(x21121,x21122)+E(f734(x21121,x21123),f734(x21122,x21123))
% 198.24/198.44 [2113]~E(x21131,x21132)+E(f734(x21133,x21131),f734(x21133,x21132))
% 198.24/198.44 [2114]~E(x21141,x21142)+E(f750(x21141,x21143,x21144,x21145),f750(x21142,x21143,x21144,x21145))
% 198.24/198.44 [2115]~E(x21151,x21152)+E(f750(x21153,x21151,x21154,x21155),f750(x21153,x21152,x21154,x21155))
% 198.24/198.44 [2116]~E(x21161,x21162)+E(f750(x21163,x21164,x21161,x21165),f750(x21163,x21164,x21162,x21165))
% 198.24/198.44 [2117]~E(x21171,x21172)+E(f750(x21173,x21174,x21175,x21171),f750(x21173,x21174,x21175,x21172))
% 198.24/198.44 [2118]~E(x21181,x21182)+E(f770(x21181,x21183,x21184),f770(x21182,x21183,x21184))
% 198.24/198.44 [2119]~E(x21191,x21192)+E(f770(x21193,x21191,x21194),f770(x21193,x21192,x21194))
% 198.24/198.44 [2120]~E(x21201,x21202)+E(f770(x21203,x21204,x21201),f770(x21203,x21204,x21202))
% 198.24/198.44 [2121]~E(x21211,x21212)+E(f455(x21211,x21213,x21214),f455(x21212,x21213,x21214))
% 198.24/198.44 [2122]~E(x21221,x21222)+E(f455(x21223,x21221,x21224),f455(x21223,x21222,x21224))
% 198.24/198.44 [2123]~E(x21231,x21232)+E(f455(x21233,x21234,x21231),f455(x21233,x21234,x21232))
% 198.24/198.44 [2124]~E(x21241,x21242)+E(f242(x21241,x21243,x21244),f242(x21242,x21243,x21244))
% 198.24/198.44 [2125]~E(x21251,x21252)+E(f242(x21253,x21251,x21254),f242(x21253,x21252,x21254))
% 198.24/198.44 [2126]~E(x21261,x21262)+E(f242(x21263,x21264,x21261),f242(x21263,x21264,x21262))
% 198.24/198.44 [2127]~E(x21271,x21272)+E(f599(x21271,x21273,x21274,x21275,x21276),f599(x21272,x21273,x21274,x21275,x21276))
% 198.24/198.44 [2128]~E(x21281,x21282)+E(f599(x21283,x21281,x21284,x21285,x21286),f599(x21283,x21282,x21284,x21285,x21286))
% 198.24/198.44 [2129]~E(x21291,x21292)+E(f599(x21293,x21294,x21291,x21295,x21296),f599(x21293,x21294,x21292,x21295,x21296))
% 198.24/198.44 [2130]~E(x21301,x21302)+E(f599(x21303,x21304,x21305,x21301,x21306),f599(x21303,x21304,x21305,x21302,x21306))
% 198.24/198.44 [2131]~E(x21311,x21312)+E(f599(x21313,x21314,x21315,x21316,x21311),f599(x21313,x21314,x21315,x21316,x21312))
% 198.24/198.44 [2132]~E(x21321,x21322)+E(f299(x21321,x21323,x21324),f299(x21322,x21323,x21324))
% 198.24/198.44 [2133]~E(x21331,x21332)+E(f299(x21333,x21331,x21334),f299(x21333,x21332,x21334))
% 198.24/198.44 [2134]~E(x21341,x21342)+E(f299(x21343,x21344,x21341),f299(x21343,x21344,x21342))
% 198.24/198.44 [2135]~E(x21351,x21352)+E(f804(x21351,x21353,x21354),f804(x21352,x21353,x21354))
% 198.24/198.44 [2136]~E(x21361,x21362)+E(f804(x21363,x21361,x21364),f804(x21363,x21362,x21364))
% 198.24/198.44 [2137]~E(x21371,x21372)+E(f804(x21373,x21374,x21371),f804(x21373,x21374,x21372))
% 198.24/198.44 [2138]~E(x21381,x21382)+E(f654(x21381,x21383,x21384),f654(x21382,x21383,x21384))
% 198.24/198.44 [2139]~E(x21391,x21392)+E(f654(x21393,x21391,x21394),f654(x21393,x21392,x21394))
% 198.24/198.44 [2140]~E(x21401,x21402)+E(f654(x21403,x21404,x21401),f654(x21403,x21404,x21402))
% 198.24/198.44 [2141]~E(x21411,x21412)+E(f379(x21411,x21413,x21414,x21415),f379(x21412,x21413,x21414,x21415))
% 198.24/198.44 [2142]~E(x21421,x21422)+E(f379(x21423,x21421,x21424,x21425),f379(x21423,x21422,x21424,x21425))
% 198.24/198.44 [2143]~E(x21431,x21432)+E(f379(x21433,x21434,x21431,x21435),f379(x21433,x21434,x21432,x21435))
% 198.24/198.44 [2144]~E(x21441,x21442)+E(f379(x21443,x21444,x21445,x21441),f379(x21443,x21444,x21445,x21442))
% 198.24/198.44 [2145]~E(x21451,x21452)+E(f451(x21451,x21453,x21454),f451(x21452,x21453,x21454))
% 198.24/198.44 [2146]~E(x21461,x21462)+E(f451(x21463,x21461,x21464),f451(x21463,x21462,x21464))
% 198.24/198.44 [2147]~E(x21471,x21472)+E(f451(x21473,x21474,x21471),f451(x21473,x21474,x21472))
% 198.24/198.44 [2148]~E(x21481,x21482)+E(f417(x21481),f417(x21482))
% 198.24/198.44 [2149]~E(x21491,x21492)+E(f543(x21491,x21493,x21494,x21495,x21496),f543(x21492,x21493,x21494,x21495,x21496))
% 198.24/198.44 [2150]~E(x21501,x21502)+E(f543(x21503,x21501,x21504,x21505,x21506),f543(x21503,x21502,x21504,x21505,x21506))
% 198.24/198.44 [2151]~E(x21511,x21512)+E(f543(x21513,x21514,x21511,x21515,x21516),f543(x21513,x21514,x21512,x21515,x21516))
% 198.24/198.44 [2152]~E(x21521,x21522)+E(f543(x21523,x21524,x21525,x21521,x21526),f543(x21523,x21524,x21525,x21522,x21526))
% 198.24/198.44 [2153]~E(x21531,x21532)+E(f543(x21533,x21534,x21535,x21536,x21531),f543(x21533,x21534,x21535,x21536,x21532))
% 198.24/198.44 [2154]~E(x21541,x21542)+E(f674(x21541,x21543,x21544,x21545,x21546),f674(x21542,x21543,x21544,x21545,x21546))
% 198.24/198.44 [2155]~E(x21551,x21552)+E(f674(x21553,x21551,x21554,x21555,x21556),f674(x21553,x21552,x21554,x21555,x21556))
% 198.24/198.44 [2156]~E(x21561,x21562)+E(f674(x21563,x21564,x21561,x21565,x21566),f674(x21563,x21564,x21562,x21565,x21566))
% 198.24/198.44 [2157]~E(x21571,x21572)+E(f674(x21573,x21574,x21575,x21571,x21576),f674(x21573,x21574,x21575,x21572,x21576))
% 198.24/198.44 [2158]~E(x21581,x21582)+E(f674(x21583,x21584,x21585,x21586,x21581),f674(x21583,x21584,x21585,x21586,x21582))
% 198.24/198.44 [2159]~E(x21591,x21592)+E(f350(x21591,x21593,x21594),f350(x21592,x21593,x21594))
% 198.24/198.44 [2160]~E(x21601,x21602)+E(f350(x21603,x21601,x21604),f350(x21603,x21602,x21604))
% 198.24/198.44 [2161]~E(x21611,x21612)+E(f350(x21613,x21614,x21611),f350(x21613,x21614,x21612))
% 198.24/198.44 [2162]~E(x21621,x21622)+E(f499(x21621),f499(x21622))
% 198.24/198.44 [2163]~E(x21631,x21632)+E(f513(x21631,x21633,x21634,x21635),f513(x21632,x21633,x21634,x21635))
% 198.24/198.44 [2164]~E(x21641,x21642)+E(f513(x21643,x21641,x21644,x21645),f513(x21643,x21642,x21644,x21645))
% 198.24/198.44 [2165]~E(x21651,x21652)+E(f513(x21653,x21654,x21651,x21655),f513(x21653,x21654,x21652,x21655))
% 198.24/198.44 [2166]~E(x21661,x21662)+E(f513(x21663,x21664,x21665,x21661),f513(x21663,x21664,x21665,x21662))
% 198.24/198.44 [2167]~E(x21671,x21672)+E(f411(x21671,x21673,x21674),f411(x21672,x21673,x21674))
% 198.24/198.44 [2168]~E(x21681,x21682)+E(f411(x21683,x21681,x21684),f411(x21683,x21682,x21684))
% 198.24/198.44 [2169]~E(x21691,x21692)+E(f411(x21693,x21694,x21691),f411(x21693,x21694,x21692))
% 198.24/198.44 [2170]~E(x21701,x21702)+E(f436(x21701,x21703,x21704),f436(x21702,x21703,x21704))
% 198.24/198.44 [2171]~E(x21711,x21712)+E(f436(x21713,x21711,x21714),f436(x21713,x21712,x21714))
% 198.24/198.44 [2172]~E(x21721,x21722)+E(f436(x21723,x21724,x21721),f436(x21723,x21724,x21722))
% 198.24/198.44 [2173]~E(x21731,x21732)+E(f759(x21731,x21733),f759(x21732,x21733))
% 198.24/198.44 [2174]~E(x21741,x21742)+E(f759(x21743,x21741),f759(x21743,x21742))
% 198.24/198.44 [2175]~E(x21751,x21752)+E(f772(x21751,x21753,x21754,x21755),f772(x21752,x21753,x21754,x21755))
% 198.24/198.44 [2176]~E(x21761,x21762)+E(f772(x21763,x21761,x21764,x21765),f772(x21763,x21762,x21764,x21765))
% 198.24/198.44 [2177]~E(x21771,x21772)+E(f772(x21773,x21774,x21771,x21775),f772(x21773,x21774,x21772,x21775))
% 198.24/198.44 [2178]~E(x21781,x21782)+E(f772(x21783,x21784,x21785,x21781),f772(x21783,x21784,x21785,x21782))
% 198.24/198.44 [2179]~E(x21791,x21792)+E(f581(x21791,x21793,x21794),f581(x21792,x21793,x21794))
% 198.24/198.44 [2180]~E(x21801,x21802)+E(f581(x21803,x21801,x21804),f581(x21803,x21802,x21804))
% 198.24/198.44 [2181]~E(x21811,x21812)+E(f581(x21813,x21814,x21811),f581(x21813,x21814,x21812))
% 198.24/198.44 [2182]~E(x21821,x21822)+E(f579(x21821,x21823,x21824),f579(x21822,x21823,x21824))
% 198.24/198.44 [2183]~E(x21831,x21832)+E(f579(x21833,x21831,x21834),f579(x21833,x21832,x21834))
% 198.24/198.44 [2184]~E(x21841,x21842)+E(f579(x21843,x21844,x21841),f579(x21843,x21844,x21842))
% 198.24/198.44 [2185]~E(x21851,x21852)+E(f808(x21851,x21853,x21854,x21855,x21856),f808(x21852,x21853,x21854,x21855,x21856))
% 198.24/198.44 [2186]~E(x21861,x21862)+E(f808(x21863,x21861,x21864,x21865,x21866),f808(x21863,x21862,x21864,x21865,x21866))
% 198.24/198.44 [2187]~E(x21871,x21872)+E(f808(x21873,x21874,x21871,x21875,x21876),f808(x21873,x21874,x21872,x21875,x21876))
% 198.24/198.44 [2188]~E(x21881,x21882)+E(f808(x21883,x21884,x21885,x21881,x21886),f808(x21883,x21884,x21885,x21882,x21886))
% 198.24/198.44 [2189]~E(x21891,x21892)+E(f808(x21893,x21894,x21895,x21896,x21891),f808(x21893,x21894,x21895,x21896,x21892))
% 198.24/198.44 [2190]~E(x21901,x21902)+E(f587(x21901,x21903),f587(x21902,x21903))
% 198.24/198.44 [2191]~E(x21911,x21912)+E(f587(x21913,x21911),f587(x21913,x21912))
% 198.24/198.44 [2192]~E(x21921,x21922)+E(f845(x21921,x21923,x21924,x21925,x21926),f845(x21922,x21923,x21924,x21925,x21926))
% 198.24/198.44 [2193]~E(x21931,x21932)+E(f845(x21933,x21931,x21934,x21935,x21936),f845(x21933,x21932,x21934,x21935,x21936))
% 198.24/198.44 [2194]~E(x21941,x21942)+E(f845(x21943,x21944,x21941,x21945,x21946),f845(x21943,x21944,x21942,x21945,x21946))
% 198.24/198.44 [2195]~E(x21951,x21952)+E(f845(x21953,x21954,x21955,x21951,x21956),f845(x21953,x21954,x21955,x21952,x21956))
% 198.24/198.44 [2196]~E(x21961,x21962)+E(f845(x21963,x21964,x21965,x21966,x21961),f845(x21963,x21964,x21965,x21966,x21962))
% 198.24/198.44 [2197]~E(x21971,x21972)+E(f784(x21971,x21973,x21974),f784(x21972,x21973,x21974))
% 198.24/198.44 [2198]~E(x21981,x21982)+E(f784(x21983,x21981,x21984),f784(x21983,x21982,x21984))
% 198.24/198.44 [2199]~E(x21991,x21992)+E(f784(x21993,x21994,x21991),f784(x21993,x21994,x21992))
% 198.24/198.44 [2200]~E(x22001,x22002)+E(f445(x22001,x22003,x22004,x22005),f445(x22002,x22003,x22004,x22005))
% 198.24/198.44 [2201]~E(x22011,x22012)+E(f445(x22013,x22011,x22014,x22015),f445(x22013,x22012,x22014,x22015))
% 198.24/198.44 [2202]~E(x22021,x22022)+E(f445(x22023,x22024,x22021,x22025),f445(x22023,x22024,x22022,x22025))
% 198.24/198.44 [2203]~E(x22031,x22032)+E(f445(x22033,x22034,x22035,x22031),f445(x22033,x22034,x22035,x22032))
% 198.24/198.44 [2204]~E(x22041,x22042)+E(f586(x22041,x22043,x22044,x22045,x22046,x22047,x22048,x22049),f586(x22042,x22043,x22044,x22045,x22046,x22047,x22048,x22049))
% 198.24/198.44 [2205]~E(x22051,x22052)+E(f586(x22053,x22051,x22054,x22055,x22056,x22057,x22058,x22059),f586(x22053,x22052,x22054,x22055,x22056,x22057,x22058,x22059))
% 198.24/198.44 [2206]~E(x22061,x22062)+E(f586(x22063,x22064,x22061,x22065,x22066,x22067,x22068,x22069),f586(x22063,x22064,x22062,x22065,x22066,x22067,x22068,x22069))
% 198.24/198.44 [2207]~E(x22071,x22072)+E(f586(x22073,x22074,x22075,x22071,x22076,x22077,x22078,x22079),f586(x22073,x22074,x22075,x22072,x22076,x22077,x22078,x22079))
% 198.24/198.44 [2208]~E(x22081,x22082)+E(f586(x22083,x22084,x22085,x22086,x22081,x22087,x22088,x22089),f586(x22083,x22084,x22085,x22086,x22082,x22087,x22088,x22089))
% 198.24/198.44 [2209]~E(x22091,x22092)+E(f586(x22093,x22094,x22095,x22096,x22097,x22091,x22098,x22099),f586(x22093,x22094,x22095,x22096,x22097,x22092,x22098,x22099))
% 198.24/198.44 [2210]~E(x22101,x22102)+E(f586(x22103,x22104,x22105,x22106,x22107,x22108,x22101,x22109),f586(x22103,x22104,x22105,x22106,x22107,x22108,x22102,x22109))
% 198.24/198.44 [2211]~E(x22111,x22112)+E(f586(x22113,x22114,x22115,x22116,x22117,x22118,x22119,x22111),f586(x22113,x22114,x22115,x22116,x22117,x22118,x22119,x22112))
% 198.24/198.44 [2212]~E(x22121,x22122)+E(f227(x22121,x22123),f227(x22122,x22123))
% 198.24/198.44 [2213]~E(x22131,x22132)+E(f227(x22133,x22131),f227(x22133,x22132))
% 198.24/198.44 [2214]~E(x22141,x22142)+E(f688(x22141,x22143,x22144),f688(x22142,x22143,x22144))
% 198.24/198.44 [2215]~E(x22151,x22152)+E(f688(x22153,x22151,x22154),f688(x22153,x22152,x22154))
% 198.24/198.44 [2216]~E(x22161,x22162)+E(f688(x22163,x22164,x22161),f688(x22163,x22164,x22162))
% 198.24/198.44 [2217]~E(x22171,x22172)+E(f346(x22171),f346(x22172))
% 198.24/198.44 [2218]~E(x22181,x22182)+E(f463(x22181,x22183,x22184,x22185,x22186),f463(x22182,x22183,x22184,x22185,x22186))
% 198.24/198.44 [2219]~E(x22191,x22192)+E(f463(x22193,x22191,x22194,x22195,x22196),f463(x22193,x22192,x22194,x22195,x22196))
% 198.24/198.44 [2220]~E(x22201,x22202)+E(f463(x22203,x22204,x22201,x22205,x22206),f463(x22203,x22204,x22202,x22205,x22206))
% 198.24/198.44 [2221]~E(x22211,x22212)+E(f463(x22213,x22214,x22215,x22211,x22216),f463(x22213,x22214,x22215,x22212,x22216))
% 198.24/198.44 [2222]~E(x22221,x22222)+E(f463(x22223,x22224,x22225,x22226,x22221),f463(x22223,x22224,x22225,x22226,x22222))
% 198.24/198.44 [2223]~E(x22231,x22232)+E(f689(x22231,x22233,x22234),f689(x22232,x22233,x22234))
% 198.24/198.44 [2224]~E(x22241,x22242)+E(f689(x22243,x22241,x22244),f689(x22243,x22242,x22244))
% 198.24/198.44 [2225]~E(x22251,x22252)+E(f689(x22253,x22254,x22251),f689(x22253,x22254,x22252))
% 198.24/198.44 [2226]~E(x22261,x22262)+E(f318(x22261,x22263),f318(x22262,x22263))
% 198.24/198.44 [2227]~E(x22271,x22272)+E(f318(x22273,x22271),f318(x22273,x22272))
% 198.24/198.44 [2228]~E(x22281,x22282)+E(f460(x22281,x22283,x22284,x22285),f460(x22282,x22283,x22284,x22285))
% 198.24/198.44 [2229]~E(x22291,x22292)+E(f460(x22293,x22291,x22294,x22295),f460(x22293,x22292,x22294,x22295))
% 198.24/198.44 [2230]~E(x22301,x22302)+E(f460(x22303,x22304,x22301,x22305),f460(x22303,x22304,x22302,x22305))
% 198.24/198.44 [2231]~E(x22311,x22312)+E(f460(x22313,x22314,x22315,x22311),f460(x22313,x22314,x22315,x22312))
% 198.24/198.44 [2232]~E(x22321,x22322)+E(f856(x22321,x22323,x22324),f856(x22322,x22323,x22324))
% 198.24/198.44 [2233]~E(x22331,x22332)+E(f856(x22333,x22331,x22334),f856(x22333,x22332,x22334))
% 198.24/198.44 [2234]~E(x22341,x22342)+E(f856(x22343,x22344,x22341),f856(x22343,x22344,x22342))
% 198.24/198.44 [2235]~E(x22351,x22352)+E(f797(x22351,x22353,x22354,x22355,x22356),f797(x22352,x22353,x22354,x22355,x22356))
% 198.24/198.44 [2236]~E(x22361,x22362)+E(f797(x22363,x22361,x22364,x22365,x22366),f797(x22363,x22362,x22364,x22365,x22366))
% 198.24/198.44 [2237]~E(x22371,x22372)+E(f797(x22373,x22374,x22371,x22375,x22376),f797(x22373,x22374,x22372,x22375,x22376))
% 198.24/198.44 [2238]~E(x22381,x22382)+E(f797(x22383,x22384,x22385,x22381,x22386),f797(x22383,x22384,x22385,x22382,x22386))
% 198.24/198.44 [2239]~E(x22391,x22392)+E(f797(x22393,x22394,x22395,x22396,x22391),f797(x22393,x22394,x22395,x22396,x22392))
% 198.24/198.44 [2240]~E(x22401,x22402)+E(f699(x22401,x22403,x22404,x22405),f699(x22402,x22403,x22404,x22405))
% 198.24/198.44 [2241]~E(x22411,x22412)+E(f699(x22413,x22411,x22414,x22415),f699(x22413,x22412,x22414,x22415))
% 198.24/198.44 [2242]~E(x22421,x22422)+E(f699(x22423,x22424,x22421,x22425),f699(x22423,x22424,x22422,x22425))
% 198.24/198.44 [2243]~E(x22431,x22432)+E(f699(x22433,x22434,x22435,x22431),f699(x22433,x22434,x22435,x22432))
% 198.24/198.44 [2244]~E(x22441,x22442)+E(f539(x22441,x22443,x22444,x22445,x22446,x22447),f539(x22442,x22443,x22444,x22445,x22446,x22447))
% 198.24/198.44 [2245]~E(x22451,x22452)+E(f539(x22453,x22451,x22454,x22455,x22456,x22457),f539(x22453,x22452,x22454,x22455,x22456,x22457))
% 198.24/198.44 [2246]~E(x22461,x22462)+E(f539(x22463,x22464,x22461,x22465,x22466,x22467),f539(x22463,x22464,x22462,x22465,x22466,x22467))
% 198.24/198.44 [2247]~E(x22471,x22472)+E(f539(x22473,x22474,x22475,x22471,x22476,x22477),f539(x22473,x22474,x22475,x22472,x22476,x22477))
% 198.24/198.44 [2248]~E(x22481,x22482)+E(f539(x22483,x22484,x22485,x22486,x22481,x22487),f539(x22483,x22484,x22485,x22486,x22482,x22487))
% 198.24/198.44 [2249]~E(x22491,x22492)+E(f539(x22493,x22494,x22495,x22496,x22497,x22491),f539(x22493,x22494,x22495,x22496,x22497,x22492))
% 198.24/198.44 [2250]~E(x22501,x22502)+E(f413(x22501),f413(x22502))
% 198.24/198.44 [2251]~E(x22511,x22512)+E(f287(x22511,x22513,x22514),f287(x22512,x22513,x22514))
% 198.24/198.44 [2252]~E(x22521,x22522)+E(f287(x22523,x22521,x22524),f287(x22523,x22522,x22524))
% 198.24/198.44 [2253]~E(x22531,x22532)+E(f287(x22533,x22534,x22531),f287(x22533,x22534,x22532))
% 198.24/198.44 [2254]~E(x22541,x22542)+E(f441(x22541,x22543),f441(x22542,x22543))
% 198.24/198.44 [2255]~E(x22551,x22552)+E(f441(x22553,x22551),f441(x22553,x22552))
% 198.24/198.44 [2256]~E(x22561,x22562)+E(f783(x22561,x22563,x22564),f783(x22562,x22563,x22564))
% 198.24/198.44 [2257]~E(x22571,x22572)+E(f783(x22573,x22571,x22574),f783(x22573,x22572,x22574))
% 198.24/198.44 [2258]~E(x22581,x22582)+E(f783(x22583,x22584,x22581),f783(x22583,x22584,x22582))
% 198.24/198.44 [2259]~E(x22591,x22592)+E(f522(x22591,x22593,x22594,x22595),f522(x22592,x22593,x22594,x22595))
% 198.24/198.44 [2260]~E(x22601,x22602)+E(f522(x22603,x22601,x22604,x22605),f522(x22603,x22602,x22604,x22605))
% 198.24/198.44 [2261]~E(x22611,x22612)+E(f522(x22613,x22614,x22611,x22615),f522(x22613,x22614,x22612,x22615))
% 198.24/198.44 [2262]~E(x22621,x22622)+E(f522(x22623,x22624,x22625,x22621),f522(x22623,x22624,x22625,x22622))
% 198.24/198.44 [2263]~E(x22631,x22632)+E(f452(x22631,x22633,x22634),f452(x22632,x22633,x22634))
% 198.24/198.44 [2264]~E(x22641,x22642)+E(f452(x22643,x22641,x22644),f452(x22643,x22642,x22644))
% 198.24/198.44 [2265]~E(x22651,x22652)+E(f452(x22653,x22654,x22651),f452(x22653,x22654,x22652))
% 198.24/198.44 [2266]~E(x22661,x22662)+E(f722(x22661,x22663),f722(x22662,x22663))
% 198.24/198.44 [2267]~E(x22671,x22672)+E(f722(x22673,x22671),f722(x22673,x22672))
% 198.24/198.44 [2268]~E(x22681,x22682)+E(f353(x22681),f353(x22682))
% 198.24/198.44 [2269]~E(x22691,x22692)+E(f669(x22691,x22693,x22694,x22695,x22696),f669(x22692,x22693,x22694,x22695,x22696))
% 198.24/198.44 [2270]~E(x22701,x22702)+E(f669(x22703,x22701,x22704,x22705,x22706),f669(x22703,x22702,x22704,x22705,x22706))
% 198.24/198.44 [2271]~E(x22711,x22712)+E(f669(x22713,x22714,x22711,x22715,x22716),f669(x22713,x22714,x22712,x22715,x22716))
% 198.24/198.44 [2272]~E(x22721,x22722)+E(f669(x22723,x22724,x22725,x22721,x22726),f669(x22723,x22724,x22725,x22722,x22726))
% 198.24/198.44 [2273]~E(x22731,x22732)+E(f669(x22733,x22734,x22735,x22736,x22731),f669(x22733,x22734,x22735,x22736,x22732))
% 198.24/198.44 [2274]~E(x22741,x22742)+E(f680(x22741,x22743),f680(x22742,x22743))
% 198.24/198.44 [2275]~E(x22751,x22752)+E(f680(x22753,x22751),f680(x22753,x22752))
% 198.24/198.44 [2276]~E(x22761,x22762)+E(f727(x22761,x22763,x22764),f727(x22762,x22763,x22764))
% 198.24/198.44 [2277]~E(x22771,x22772)+E(f727(x22773,x22771,x22774),f727(x22773,x22772,x22774))
% 198.24/198.44 [2278]~E(x22781,x22782)+E(f727(x22783,x22784,x22781),f727(x22783,x22784,x22782))
% 198.24/198.44 [2279]~E(x22791,x22792)+E(f236(x22791,x22793,x22794,x22795,x22796),f236(x22792,x22793,x22794,x22795,x22796))
% 198.24/198.44 [2280]~E(x22801,x22802)+E(f236(x22803,x22801,x22804,x22805,x22806),f236(x22803,x22802,x22804,x22805,x22806))
% 198.24/198.44 [2281]~E(x22811,x22812)+E(f236(x22813,x22814,x22811,x22815,x22816),f236(x22813,x22814,x22812,x22815,x22816))
% 198.24/198.44 [2282]~E(x22821,x22822)+E(f236(x22823,x22824,x22825,x22821,x22826),f236(x22823,x22824,x22825,x22822,x22826))
% 198.24/198.44 [2283]~E(x22831,x22832)+E(f236(x22833,x22834,x22835,x22836,x22831),f236(x22833,x22834,x22835,x22836,x22832))
% 198.24/198.44 [2284]~E(x22841,x22842)+E(f691(x22841,x22843),f691(x22842,x22843))
% 198.24/198.44 [2285]~E(x22851,x22852)+E(f691(x22853,x22851),f691(x22853,x22852))
% 198.24/198.44 [2286]~E(x22861,x22862)+E(f615(x22861,x22863,x22864,x22865,x22866),f615(x22862,x22863,x22864,x22865,x22866))
% 198.24/198.44 [2287]~E(x22871,x22872)+E(f615(x22873,x22871,x22874,x22875,x22876),f615(x22873,x22872,x22874,x22875,x22876))
% 198.24/198.44 [2288]~E(x22881,x22882)+E(f615(x22883,x22884,x22881,x22885,x22886),f615(x22883,x22884,x22882,x22885,x22886))
% 198.24/198.44 [2289]~E(x22891,x22892)+E(f615(x22893,x22894,x22895,x22891,x22896),f615(x22893,x22894,x22895,x22892,x22896))
% 198.24/198.44 [2290]~E(x22901,x22902)+E(f615(x22903,x22904,x22905,x22906,x22901),f615(x22903,x22904,x22905,x22906,x22902))
% 198.24/198.44 [2291]~E(x22911,x22912)+E(f644(x22911,x22913,x22914,x22915),f644(x22912,x22913,x22914,x22915))
% 198.24/198.44 [2292]~E(x22921,x22922)+E(f644(x22923,x22921,x22924,x22925),f644(x22923,x22922,x22924,x22925))
% 198.24/198.44 [2293]~E(x22931,x22932)+E(f644(x22933,x22934,x22931,x22935),f644(x22933,x22934,x22932,x22935))
% 198.24/198.44 [2294]~E(x22941,x22942)+E(f644(x22943,x22944,x22945,x22941),f644(x22943,x22944,x22945,x22942))
% 198.24/198.44 [2295]~E(x22951,x22952)+E(f619(x22951,x22953,x22954,x22955,x22956),f619(x22952,x22953,x22954,x22955,x22956))
% 198.24/198.44 [2296]~E(x22961,x22962)+E(f619(x22963,x22961,x22964,x22965,x22966),f619(x22963,x22962,x22964,x22965,x22966))
% 198.24/198.44 [2297]~E(x22971,x22972)+E(f619(x22973,x22974,x22971,x22975,x22976),f619(x22973,x22974,x22972,x22975,x22976))
% 198.24/198.44 [2298]~E(x22981,x22982)+E(f619(x22983,x22984,x22985,x22981,x22986),f619(x22983,x22984,x22985,x22982,x22986))
% 198.24/198.44 [2299]~E(x22991,x22992)+E(f619(x22993,x22994,x22995,x22996,x22991),f619(x22993,x22994,x22995,x22996,x22992))
% 198.24/198.44 [2300]~E(x23001,x23002)+E(f681(x23001,x23003),f681(x23002,x23003))
% 198.24/198.44 [2301]~E(x23011,x23012)+E(f681(x23013,x23011),f681(x23013,x23012))
% 198.24/198.44 [2302]~E(x23021,x23022)+E(f821(x23021,x23023),f821(x23022,x23023))
% 198.24/198.44 [2303]~E(x23031,x23032)+E(f821(x23033,x23031),f821(x23033,x23032))
% 198.24/198.44 [2304]~E(x23041,x23042)+E(f830(x23041,x23043),f830(x23042,x23043))
% 198.24/198.44 [2305]~E(x23051,x23052)+E(f830(x23053,x23051),f830(x23053,x23052))
% 198.24/198.44 [2306]~E(x23061,x23062)+E(f715(x23061,x23063,x23064,x23065,x23066),f715(x23062,x23063,x23064,x23065,x23066))
% 198.24/198.44 [2307]~E(x23071,x23072)+E(f715(x23073,x23071,x23074,x23075,x23076),f715(x23073,x23072,x23074,x23075,x23076))
% 198.24/198.44 [2308]~E(x23081,x23082)+E(f715(x23083,x23084,x23081,x23085,x23086),f715(x23083,x23084,x23082,x23085,x23086))
% 198.24/198.44 [2309]~E(x23091,x23092)+E(f715(x23093,x23094,x23095,x23091,x23096),f715(x23093,x23094,x23095,x23092,x23096))
% 198.24/198.44 [2310]~E(x23101,x23102)+E(f715(x23103,x23104,x23105,x23106,x23101),f715(x23103,x23104,x23105,x23106,x23102))
% 198.24/198.44 [2311]~E(x23111,x23112)+E(f387(x23111,x23113,x23114,x23115),f387(x23112,x23113,x23114,x23115))
% 198.24/198.44 [2312]~E(x23121,x23122)+E(f387(x23123,x23121,x23124,x23125),f387(x23123,x23122,x23124,x23125))
% 198.24/198.44 [2313]~E(x23131,x23132)+E(f387(x23133,x23134,x23131,x23135),f387(x23133,x23134,x23132,x23135))
% 198.24/198.44 [2314]~E(x23141,x23142)+E(f387(x23143,x23144,x23145,x23141),f387(x23143,x23144,x23145,x23142))
% 198.24/198.44 [2315]~E(x23151,x23152)+E(f754(x23151,x23153),f754(x23152,x23153))
% 198.24/198.44 [2316]~E(x23161,x23162)+E(f754(x23163,x23161),f754(x23163,x23162))
% 198.24/198.44 [2317]~E(x23171,x23172)+E(f629(x23171,x23173,x23174,x23175,x23176),f629(x23172,x23173,x23174,x23175,x23176))
% 198.24/198.44 [2318]~E(x23181,x23182)+E(f629(x23183,x23181,x23184,x23185,x23186),f629(x23183,x23182,x23184,x23185,x23186))
% 198.24/198.44 [2319]~E(x23191,x23192)+E(f629(x23193,x23194,x23191,x23195,x23196),f629(x23193,x23194,x23192,x23195,x23196))
% 198.24/198.44 [2320]~E(x23201,x23202)+E(f629(x23203,x23204,x23205,x23201,x23206),f629(x23203,x23204,x23205,x23202,x23206))
% 198.24/198.44 [2321]~E(x23211,x23212)+E(f629(x23213,x23214,x23215,x23216,x23211),f629(x23213,x23214,x23215,x23216,x23212))
% 198.24/198.44 [2322]~E(x23221,x23222)+E(f840(x23221,x23223,x23224,x23225),f840(x23222,x23223,x23224,x23225))
% 198.24/198.44 [2323]~E(x23231,x23232)+E(f840(x23233,x23231,x23234,x23235),f840(x23233,x23232,x23234,x23235))
% 198.24/198.44 [2324]~E(x23241,x23242)+E(f840(x23243,x23244,x23241,x23245),f840(x23243,x23244,x23242,x23245))
% 198.24/198.44 [2325]~E(x23251,x23252)+E(f840(x23253,x23254,x23255,x23251),f840(x23253,x23254,x23255,x23252))
% 198.24/198.44 [2326]~E(x23261,x23262)+E(f385(x23261,x23263,x23264,x23265),f385(x23262,x23263,x23264,x23265))
% 198.24/198.44 [2327]~E(x23271,x23272)+E(f385(x23273,x23271,x23274,x23275),f385(x23273,x23272,x23274,x23275))
% 198.24/198.44 [2328]~E(x23281,x23282)+E(f385(x23283,x23284,x23281,x23285),f385(x23283,x23284,x23282,x23285))
% 198.24/198.44 [2329]~E(x23291,x23292)+E(f385(x23293,x23294,x23295,x23291),f385(x23293,x23294,x23295,x23292))
% 198.24/198.44 [2330]~E(x23301,x23302)+E(f758(x23301,x23303,x23304,x23305,x23306),f758(x23302,x23303,x23304,x23305,x23306))
% 198.24/198.44 [2331]~E(x23311,x23312)+E(f758(x23313,x23311,x23314,x23315,x23316),f758(x23313,x23312,x23314,x23315,x23316))
% 198.24/198.44 [2332]~E(x23321,x23322)+E(f758(x23323,x23324,x23321,x23325,x23326),f758(x23323,x23324,x23322,x23325,x23326))
% 198.24/198.44 [2333]~E(x23331,x23332)+E(f758(x23333,x23334,x23335,x23331,x23336),f758(x23333,x23334,x23335,x23332,x23336))
% 198.24/198.44 [2334]~E(x23341,x23342)+E(f758(x23343,x23344,x23345,x23346,x23341),f758(x23343,x23344,x23345,x23346,x23342))
% 198.24/198.44 [2335]~E(x23351,x23352)+E(f649(x23351,x23353,x23354,x23355),f649(x23352,x23353,x23354,x23355))
% 198.24/198.44 [2336]~E(x23361,x23362)+E(f649(x23363,x23361,x23364,x23365),f649(x23363,x23362,x23364,x23365))
% 198.24/198.44 [2337]~E(x23371,x23372)+E(f649(x23373,x23374,x23371,x23375),f649(x23373,x23374,x23372,x23375))
% 198.24/198.44 [2338]~E(x23381,x23382)+E(f649(x23383,x23384,x23385,x23381),f649(x23383,x23384,x23385,x23382))
% 198.24/198.44 [2339]~E(x23391,x23392)+E(f442(x23391,x23393),f442(x23392,x23393))
% 198.24/198.44 [2340]~E(x23401,x23402)+E(f442(x23403,x23401),f442(x23403,x23402))
% 198.24/198.44 [2341]~E(x23411,x23412)+E(f301(x23411,x23413,x23414,x23415),f301(x23412,x23413,x23414,x23415))
% 198.24/198.44 [2342]~E(x23421,x23422)+E(f301(x23423,x23421,x23424,x23425),f301(x23423,x23422,x23424,x23425))
% 198.24/198.44 [2343]~E(x23431,x23432)+E(f301(x23433,x23434,x23431,x23435),f301(x23433,x23434,x23432,x23435))
% 198.24/198.44 [2344]~E(x23441,x23442)+E(f301(x23443,x23444,x23445,x23441),f301(x23443,x23444,x23445,x23442))
% 198.24/198.44 [2345]~E(x23451,x23452)+E(f671(x23451,x23453,x23454,x23455,x23456,x23457,x23458),f671(x23452,x23453,x23454,x23455,x23456,x23457,x23458))
% 198.24/198.44 [2346]~E(x23461,x23462)+E(f671(x23463,x23461,x23464,x23465,x23466,x23467,x23468),f671(x23463,x23462,x23464,x23465,x23466,x23467,x23468))
% 198.24/198.44 [2347]~E(x23471,x23472)+E(f671(x23473,x23474,x23471,x23475,x23476,x23477,x23478),f671(x23473,x23474,x23472,x23475,x23476,x23477,x23478))
% 198.24/198.44 [2348]~E(x23481,x23482)+E(f671(x23483,x23484,x23485,x23481,x23486,x23487,x23488),f671(x23483,x23484,x23485,x23482,x23486,x23487,x23488))
% 198.24/198.44 [2349]~E(x23491,x23492)+E(f671(x23493,x23494,x23495,x23496,x23491,x23497,x23498),f671(x23493,x23494,x23495,x23496,x23492,x23497,x23498))
% 198.24/198.44 [2350]~E(x23501,x23502)+E(f671(x23503,x23504,x23505,x23506,x23507,x23501,x23508),f671(x23503,x23504,x23505,x23506,x23507,x23502,x23508))
% 198.24/198.44 [2351]~E(x23511,x23512)+E(f671(x23513,x23514,x23515,x23516,x23517,x23518,x23511),f671(x23513,x23514,x23515,x23516,x23517,x23518,x23512))
% 198.24/198.44 [2352]~E(x23521,x23522)+E(f690(x23521,x23523,x23524),f690(x23522,x23523,x23524))
% 198.24/198.44 [2353]~E(x23531,x23532)+E(f690(x23533,x23531,x23534),f690(x23533,x23532,x23534))
% 198.24/198.44 [2354]~E(x23541,x23542)+E(f690(x23543,x23544,x23541),f690(x23543,x23544,x23542))
% 198.24/198.44 [2355]~E(x23551,x23552)+E(f858(x23551,x23553,x23554,x23555),f858(x23552,x23553,x23554,x23555))
% 198.24/198.44 [2356]~E(x23561,x23562)+E(f858(x23563,x23561,x23564,x23565),f858(x23563,x23562,x23564,x23565))
% 198.24/198.44 [2357]~E(x23571,x23572)+E(f858(x23573,x23574,x23571,x23575),f858(x23573,x23574,x23572,x23575))
% 198.24/198.44 [2358]~E(x23581,x23582)+E(f858(x23583,x23584,x23585,x23581),f858(x23583,x23584,x23585,x23582))
% 198.24/198.44 [2359]~E(x23591,x23592)+E(f740(x23591,x23593),f740(x23592,x23593))
% 198.24/198.44 [2360]~E(x23601,x23602)+E(f740(x23603,x23601),f740(x23603,x23602))
% 198.24/198.44 [2361]~E(x23611,x23612)+E(f391(x23611,x23613,x23614,x23615),f391(x23612,x23613,x23614,x23615))
% 198.24/198.44 [2362]~E(x23621,x23622)+E(f391(x23623,x23621,x23624,x23625),f391(x23623,x23622,x23624,x23625))
% 198.24/198.44 [2363]~E(x23631,x23632)+E(f391(x23633,x23634,x23631,x23635),f391(x23633,x23634,x23632,x23635))
% 198.24/198.44 [2364]~E(x23641,x23642)+E(f391(x23643,x23644,x23645,x23641),f391(x23643,x23644,x23645,x23642))
% 198.24/198.44 [2365]~E(x23651,x23652)+E(f655(x23651,x23653,x23654),f655(x23652,x23653,x23654))
% 198.24/198.44 [2366]~E(x23661,x23662)+E(f655(x23663,x23661,x23664),f655(x23663,x23662,x23664))
% 198.24/198.44 [2367]~E(x23671,x23672)+E(f655(x23673,x23674,x23671),f655(x23673,x23674,x23672))
% 198.24/198.44 [2368]~E(x23681,x23682)+E(f720(x23681,x23683),f720(x23682,x23683))
% 198.24/198.44 [2369]~E(x23691,x23692)+E(f720(x23693,x23691),f720(x23693,x23692))
% 198.24/198.44 [2370]~E(x23701,x23702)+E(f371(x23701,x23703,x23704),f371(x23702,x23703,x23704))
% 198.24/198.44 [2371]~E(x23711,x23712)+E(f371(x23713,x23711,x23714),f371(x23713,x23712,x23714))
% 198.24/198.44 [2372]~E(x23721,x23722)+E(f371(x23723,x23724,x23721),f371(x23723,x23724,x23722))
% 198.24/198.44 [2373]~E(x23731,x23732)+E(f218(x23731),f218(x23732))
% 198.24/198.44 [2374]~E(x23741,x23742)+E(f538(x23741,x23743,x23744,x23745,x23746,x23747),f538(x23742,x23743,x23744,x23745,x23746,x23747))
% 198.24/198.44 [2375]~E(x23751,x23752)+E(f538(x23753,x23751,x23754,x23755,x23756,x23757),f538(x23753,x23752,x23754,x23755,x23756,x23757))
% 198.24/198.44 [2376]~E(x23761,x23762)+E(f538(x23763,x23764,x23761,x23765,x23766,x23767),f538(x23763,x23764,x23762,x23765,x23766,x23767))
% 198.24/198.44 [2377]~E(x23771,x23772)+E(f538(x23773,x23774,x23775,x23771,x23776,x23777),f538(x23773,x23774,x23775,x23772,x23776,x23777))
% 198.24/198.44 [2378]~E(x23781,x23782)+E(f538(x23783,x23784,x23785,x23786,x23781,x23787),f538(x23783,x23784,x23785,x23786,x23782,x23787))
% 198.24/198.44 [2379]~E(x23791,x23792)+E(f538(x23793,x23794,x23795,x23796,x23797,x23791),f538(x23793,x23794,x23795,x23796,x23797,x23792))
% 198.24/198.44 [2380]~E(x23801,x23802)+E(f357(x23801,x23803,x23804),f357(x23802,x23803,x23804))
% 198.24/198.44 [2381]~E(x23811,x23812)+E(f357(x23813,x23811,x23814),f357(x23813,x23812,x23814))
% 198.24/198.44 [2382]~E(x23821,x23822)+E(f357(x23823,x23824,x23821),f357(x23823,x23824,x23822))
% 198.24/198.44 [2383]~E(x23831,x23832)+E(f865(x23831,x23833,x23834,x23835,x23836),f865(x23832,x23833,x23834,x23835,x23836))
% 198.24/198.44 [2384]~E(x23841,x23842)+E(f865(x23843,x23841,x23844,x23845,x23846),f865(x23843,x23842,x23844,x23845,x23846))
% 198.24/198.44 [2385]~E(x23851,x23852)+E(f865(x23853,x23854,x23851,x23855,x23856),f865(x23853,x23854,x23852,x23855,x23856))
% 198.24/198.44 [2386]~E(x23861,x23862)+E(f865(x23863,x23864,x23865,x23861,x23866),f865(x23863,x23864,x23865,x23862,x23866))
% 198.24/198.44 [2387]~E(x23871,x23872)+E(f865(x23873,x23874,x23875,x23876,x23871),f865(x23873,x23874,x23875,x23876,x23872))
% 198.24/198.44 [2388]~E(x23881,x23882)+E(f796(x23881,x23883,x23884),f796(x23882,x23883,x23884))
% 198.24/198.44 [2389]~E(x23891,x23892)+E(f796(x23893,x23891,x23894),f796(x23893,x23892,x23894))
% 198.24/198.44 [2390]~E(x23901,x23902)+E(f796(x23903,x23904,x23901),f796(x23903,x23904,x23902))
% 198.24/198.44 [2391]~E(x23911,x23912)+E(f566(x23911,x23913,x23914),f566(x23912,x23913,x23914))
% 198.24/198.44 [2392]~E(x23921,x23922)+E(f566(x23923,x23921,x23924),f566(x23923,x23922,x23924))
% 198.24/198.44 [2393]~E(x23931,x23932)+E(f566(x23933,x23934,x23931),f566(x23933,x23934,x23932))
% 198.24/198.44 [2394]~E(x23941,x23942)+E(f415(x23941),f415(x23942))
% 198.24/198.44 [2395]~E(x23951,x23952)+E(f289(x23951,x23953,x23954,x23955),f289(x23952,x23953,x23954,x23955))
% 198.24/198.44 [2396]~E(x23961,x23962)+E(f289(x23963,x23961,x23964,x23965),f289(x23963,x23962,x23964,x23965))
% 198.24/198.44 [2397]~E(x23971,x23972)+E(f289(x23973,x23974,x23971,x23975),f289(x23973,x23974,x23972,x23975))
% 198.24/198.44 [2398]~E(x23981,x23982)+E(f289(x23983,x23984,x23985,x23981),f289(x23983,x23984,x23985,x23982))
% 198.24/198.44 [2399]~E(x23991,x23992)+E(f556(x23991,x23993),f556(x23992,x23993))
% 198.24/198.44 [2400]~E(x24001,x24002)+E(f556(x24003,x24001),f556(x24003,x24002))
% 198.24/198.44 [2401]~E(x24011,x24012)+E(f712(x24011,x24013,x24014),f712(x24012,x24013,x24014))
% 198.24/198.44 [2402]~E(x24021,x24022)+E(f712(x24023,x24021,x24024),f712(x24023,x24022,x24024))
% 198.24/198.44 [2403]~E(x24031,x24032)+E(f712(x24033,x24034,x24031),f712(x24033,x24034,x24032))
% 198.24/198.44 [2404]~E(x24041,x24042)+E(f873(x24041,x24043,x24044,x24045,x24046),f873(x24042,x24043,x24044,x24045,x24046))
% 198.24/198.44 [2405]~E(x24051,x24052)+E(f873(x24053,x24051,x24054,x24055,x24056),f873(x24053,x24052,x24054,x24055,x24056))
% 198.24/198.44 [2406]~E(x24061,x24062)+E(f873(x24063,x24064,x24061,x24065,x24066),f873(x24063,x24064,x24062,x24065,x24066))
% 198.24/198.44 [2407]~E(x24071,x24072)+E(f873(x24073,x24074,x24075,x24071,x24076),f873(x24073,x24074,x24075,x24072,x24076))
% 198.24/198.44 [2408]~E(x24081,x24082)+E(f873(x24083,x24084,x24085,x24086,x24081),f873(x24083,x24084,x24085,x24086,x24082))
% 198.24/198.44 [2409]~E(x24091,x24092)+E(f206(x24091,x24093,x24094),f206(x24092,x24093,x24094))
% 198.24/198.44 [2410]~E(x24101,x24102)+E(f206(x24103,x24101,x24104),f206(x24103,x24102,x24104))
% 198.24/198.44 [2411]~E(x24111,x24112)+E(f206(x24113,x24114,x24111),f206(x24113,x24114,x24112))
% 198.24/198.44 [2412]~E(x24121,x24122)+E(f755(x24121,x24123,x24124,x24125),f755(x24122,x24123,x24124,x24125))
% 198.24/198.44 [2413]~E(x24131,x24132)+E(f755(x24133,x24131,x24134,x24135),f755(x24133,x24132,x24134,x24135))
% 198.24/198.44 [2414]~E(x24141,x24142)+E(f755(x24143,x24144,x24141,x24145),f755(x24143,x24144,x24142,x24145))
% 198.24/198.44 [2415]~E(x24151,x24152)+E(f755(x24153,x24154,x24155,x24151),f755(x24153,x24154,x24155,x24152))
% 198.24/198.44 [2416]~E(x24161,x24162)+E(f746(x24161,x24163,x24164),f746(x24162,x24163,x24164))
% 198.24/198.44 [2417]~E(x24171,x24172)+E(f746(x24173,x24171,x24174),f746(x24173,x24172,x24174))
% 198.24/198.44 [2418]~E(x24181,x24182)+E(f746(x24183,x24184,x24181),f746(x24183,x24184,x24182))
% 198.24/198.44 [2419]~E(x24191,x24192)+E(f557(x24191,x24193),f557(x24192,x24193))
% 198.24/198.44 [2420]~E(x24201,x24202)+E(f557(x24203,x24201),f557(x24203,x24202))
% 198.24/198.44 [2421]~E(x24211,x24212)+E(f300(x24211,x24213,x24214),f300(x24212,x24213,x24214))
% 198.24/198.44 [2422]~E(x24221,x24222)+E(f300(x24223,x24221,x24224),f300(x24223,x24222,x24224))
% 198.24/198.44 [2423]~E(x24231,x24232)+E(f300(x24233,x24234,x24231),f300(x24233,x24234,x24232))
% 198.24/198.44 [2424]~E(x24241,x24242)+E(f297(x24241,x24243),f297(x24242,x24243))
% 198.24/198.44 [2425]~E(x24251,x24252)+E(f297(x24253,x24251),f297(x24253,x24252))
% 198.24/198.44 [2426]~E(x24261,x24262)+E(f677(x24261,x24263,x24264,x24265,x24266),f677(x24262,x24263,x24264,x24265,x24266))
% 198.24/198.44 [2427]~E(x24271,x24272)+E(f677(x24273,x24271,x24274,x24275,x24276),f677(x24273,x24272,x24274,x24275,x24276))
% 198.24/198.44 [2428]~E(x24281,x24282)+E(f677(x24283,x24284,x24281,x24285,x24286),f677(x24283,x24284,x24282,x24285,x24286))
% 198.24/198.44 [2429]~E(x24291,x24292)+E(f677(x24293,x24294,x24295,x24291,x24296),f677(x24293,x24294,x24295,x24292,x24296))
% 198.24/198.44 [2430]~E(x24301,x24302)+E(f677(x24303,x24304,x24305,x24306,x24301),f677(x24303,x24304,x24305,x24306,x24302))
% 198.24/198.44 [2431]~E(x24311,x24312)+E(f730(x24311,x24313),f730(x24312,x24313))
% 198.24/198.44 [2432]~E(x24321,x24322)+E(f730(x24323,x24321),f730(x24323,x24322))
% 198.24/198.44 [2433]~E(x24331,x24332)+E(f407(x24331,x24333,x24334,x24335),f407(x24332,x24333,x24334,x24335))
% 198.24/198.44 [2434]~E(x24341,x24342)+E(f407(x24343,x24341,x24344,x24345),f407(x24343,x24342,x24344,x24345))
% 198.24/198.44 [2435]~E(x24351,x24352)+E(f407(x24353,x24354,x24351,x24355),f407(x24353,x24354,x24352,x24355))
% 198.24/198.44 [2436]~E(x24361,x24362)+E(f407(x24363,x24364,x24365,x24361),f407(x24363,x24364,x24365,x24362))
% 198.24/198.44 [2437]~E(x24371,x24372)+E(f467(x24371,x24373,x24374,x24375,x24376),f467(x24372,x24373,x24374,x24375,x24376))
% 198.24/198.44 [2438]~E(x24381,x24382)+E(f467(x24383,x24381,x24384,x24385,x24386),f467(x24383,x24382,x24384,x24385,x24386))
% 198.24/198.44 [2439]~E(x24391,x24392)+E(f467(x24393,x24394,x24391,x24395,x24396),f467(x24393,x24394,x24392,x24395,x24396))
% 198.24/198.44 [2440]~E(x24401,x24402)+E(f467(x24403,x24404,x24405,x24401,x24406),f467(x24403,x24404,x24405,x24402,x24406))
% 198.24/198.44 [2441]~E(x24411,x24412)+E(f467(x24413,x24414,x24415,x24416,x24411),f467(x24413,x24414,x24415,x24416,x24412))
% 198.24/198.44 [2442]~E(x24421,x24422)+E(f521(x24421,x24423,x24424,x24425,x24426,x24427),f521(x24422,x24423,x24424,x24425,x24426,x24427))
% 198.24/198.44 [2443]~E(x24431,x24432)+E(f521(x24433,x24431,x24434,x24435,x24436,x24437),f521(x24433,x24432,x24434,x24435,x24436,x24437))
% 198.24/198.44 [2444]~E(x24441,x24442)+E(f521(x24443,x24444,x24441,x24445,x24446,x24447),f521(x24443,x24444,x24442,x24445,x24446,x24447))
% 198.24/198.44 [2445]~E(x24451,x24452)+E(f521(x24453,x24454,x24455,x24451,x24456,x24457),f521(x24453,x24454,x24455,x24452,x24456,x24457))
% 198.24/198.44 [2446]~E(x24461,x24462)+E(f521(x24463,x24464,x24465,x24466,x24461,x24467),f521(x24463,x24464,x24465,x24466,x24462,x24467))
% 198.24/198.44 [2447]~E(x24471,x24472)+E(f521(x24473,x24474,x24475,x24476,x24477,x24471),f521(x24473,x24474,x24475,x24476,x24477,x24472))
% 198.24/198.44 [2448]~E(x24481,x24482)+E(f369(x24481,x24483),f369(x24482,x24483))
% 198.24/198.44 [2449]~E(x24491,x24492)+E(f369(x24493,x24491),f369(x24493,x24492))
% 198.24/198.44 [2450]~E(x24501,x24502)+E(f426(x24501,x24503),f426(x24502,x24503))
% 198.24/198.44 [2451]~E(x24511,x24512)+E(f426(x24513,x24511),f426(x24513,x24512))
% 198.24/198.44 [2452]~E(x24521,x24522)+E(f98(x24521,x24523,x24524,x24525),f98(x24522,x24523,x24524,x24525))
% 198.24/198.44 [2453]~E(x24531,x24532)+E(f98(x24533,x24531,x24534,x24535),f98(x24533,x24532,x24534,x24535))
% 198.24/198.44 [2454]~E(x24541,x24542)+E(f98(x24543,x24544,x24541,x24545),f98(x24543,x24544,x24542,x24545))
% 198.24/198.44 [2455]~E(x24551,x24552)+E(f98(x24553,x24554,x24555,x24551),f98(x24553,x24554,x24555,x24552))
% 198.24/198.44 [2456]~E(x24561,x24562)+E(f303(x24561,x24563,x24564),f303(x24562,x24563,x24564))
% 198.24/198.44 [2457]~E(x24571,x24572)+E(f303(x24573,x24571,x24574),f303(x24573,x24572,x24574))
% 198.24/198.44 [2458]~E(x24581,x24582)+E(f303(x24583,x24584,x24581),f303(x24583,x24584,x24582))
% 198.24/198.44 [2459]~E(x24591,x24592)+E(f802(x24591,x24593,x24594,x24595),f802(x24592,x24593,x24594,x24595))
% 198.24/198.44 [2460]~E(x24601,x24602)+E(f802(x24603,x24601,x24604,x24605),f802(x24603,x24602,x24604,x24605))
% 198.24/198.44 [2461]~E(x24611,x24612)+E(f802(x24613,x24614,x24611,x24615),f802(x24613,x24614,x24612,x24615))
% 198.24/198.44 [2462]~E(x24621,x24622)+E(f802(x24623,x24624,x24625,x24621),f802(x24623,x24624,x24625,x24622))
% 198.24/198.44 [2463]~E(x24631,x24632)+E(f559(x24631,x24633),f559(x24632,x24633))
% 198.24/198.44 [2464]~E(x24641,x24642)+E(f559(x24643,x24641),f559(x24643,x24642))
% 198.24/198.44 [2465]~E(x24651,x24652)+E(f465(x24651,x24653,x24654,x24655,x24656),f465(x24652,x24653,x24654,x24655,x24656))
% 198.24/198.44 [2466]~E(x24661,x24662)+E(f465(x24663,x24661,x24664,x24665,x24666),f465(x24663,x24662,x24664,x24665,x24666))
% 198.24/198.44 [2467]~E(x24671,x24672)+E(f465(x24673,x24674,x24671,x24675,x24676),f465(x24673,x24674,x24672,x24675,x24676))
% 198.24/198.44 [2468]~E(x24681,x24682)+E(f465(x24683,x24684,x24685,x24681,x24686),f465(x24683,x24684,x24685,x24682,x24686))
% 198.24/198.44 [2469]~E(x24691,x24692)+E(f465(x24693,x24694,x24695,x24696,x24691),f465(x24693,x24694,x24695,x24696,x24692))
% 198.24/198.44 [2470]~E(x24701,x24702)+E(f738(x24701,x24703,x24704),f738(x24702,x24703,x24704))
% 198.24/198.44 [2471]~E(x24711,x24712)+E(f738(x24713,x24711,x24714),f738(x24713,x24712,x24714))
% 198.24/198.44 [2472]~E(x24721,x24722)+E(f738(x24723,x24724,x24721),f738(x24723,x24724,x24722))
% 198.24/198.44 [2473]~E(x24731,x24732)+E(f457(x24731,x24733,x24734,x24735),f457(x24732,x24733,x24734,x24735))
% 198.24/198.44 [2474]~E(x24741,x24742)+E(f457(x24743,x24741,x24744,x24745),f457(x24743,x24742,x24744,x24745))
% 198.24/198.44 [2475]~E(x24751,x24752)+E(f457(x24753,x24754,x24751,x24755),f457(x24753,x24754,x24752,x24755))
% 198.24/198.44 [2476]~E(x24761,x24762)+E(f457(x24763,x24764,x24765,x24761),f457(x24763,x24764,x24765,x24762))
% 198.24/198.44 [2477]~E(x24771,x24772)+E(f832(x24771,x24773,x24774),f832(x24772,x24773,x24774))
% 198.24/198.44 [2478]~E(x24781,x24782)+E(f832(x24783,x24781,x24784),f832(x24783,x24782,x24784))
% 198.24/198.44 [2479]~E(x24791,x24792)+E(f832(x24793,x24794,x24791),f832(x24793,x24794,x24792))
% 198.24/198.44 [2480]~E(x24801,x24802)+E(f762(x24801,x24803,x24804),f762(x24802,x24803,x24804))
% 198.24/198.44 [2481]~E(x24811,x24812)+E(f762(x24813,x24811,x24814),f762(x24813,x24812,x24814))
% 198.24/198.44 [2482]~E(x24821,x24822)+E(f762(x24823,x24824,x24821),f762(x24823,x24824,x24822))
% 198.24/198.44 [2483]~E(x24831,x24832)+E(f583(x24831,x24833,x24834,x24835),f583(x24832,x24833,x24834,x24835))
% 198.24/198.44 [2484]~E(x24841,x24842)+E(f583(x24843,x24841,x24844,x24845),f583(x24843,x24842,x24844,x24845))
% 198.24/198.44 [2485]~E(x24851,x24852)+E(f583(x24853,x24854,x24851,x24855),f583(x24853,x24854,x24852,x24855))
% 198.24/198.44 [2486]~E(x24861,x24862)+E(f583(x24863,x24864,x24865,x24861),f583(x24863,x24864,x24865,x24862))
% 198.24/198.44 [2487]~E(x24871,x24872)+E(f349(x24871,x24873,x24874),f349(x24872,x24873,x24874))
% 198.24/198.44 [2488]~E(x24881,x24882)+E(f349(x24883,x24881,x24884),f349(x24883,x24882,x24884))
% 198.24/198.44 [2489]~E(x24891,x24892)+E(f349(x24893,x24894,x24891),f349(x24893,x24894,x24892))
% 198.24/198.44 [2490]~E(x24901,x24902)+E(f393(x24901,x24903,x24904),f393(x24902,x24903,x24904))
% 198.24/198.44 [2491]~E(x24911,x24912)+E(f393(x24913,x24911,x24914),f393(x24913,x24912,x24914))
% 198.24/198.44 [2492]~E(x24921,x24922)+E(f393(x24923,x24924,x24921),f393(x24923,x24924,x24922))
% 198.24/198.44 [2493]~E(x24931,x24932)+E(f237(x24931,x24933,x24934,x24935,x24936),f237(x24932,x24933,x24934,x24935,x24936))
% 198.24/198.44 [2494]~E(x24941,x24942)+E(f237(x24943,x24941,x24944,x24945,x24946),f237(x24943,x24942,x24944,x24945,x24946))
% 198.24/198.44 [2495]~E(x24951,x24952)+E(f237(x24953,x24954,x24951,x24955,x24956),f237(x24953,x24954,x24952,x24955,x24956))
% 198.24/198.44 [2496]~E(x24961,x24962)+E(f237(x24963,x24964,x24965,x24961,x24966),f237(x24963,x24964,x24965,x24962,x24966))
% 198.24/198.44 [2497]~E(x24971,x24972)+E(f237(x24973,x24974,x24975,x24976,x24971),f237(x24973,x24974,x24975,x24976,x24972))
% 198.24/198.44 [2498]~E(x24981,x24982)+E(f686(x24981,x24983,x24984),f686(x24982,x24983,x24984))
% 198.24/198.44 [2499]~E(x24991,x24992)+E(f686(x24993,x24991,x24994),f686(x24993,x24992,x24994))
% 198.24/198.44 [2500]~E(x25001,x25002)+E(f686(x25003,x25004,x25001),f686(x25003,x25004,x25002))
% 198.24/198.44 [2501]~E(x25011,x25012)+E(f535(x25011,x25013),f535(x25012,x25013))
% 198.24/198.44 [2502]~E(x25021,x25022)+E(f535(x25023,x25021),f535(x25023,x25022))
% 198.24/198.44 [2503]~E(x25031,x25032)+E(f422(x25031,x25033),f422(x25032,x25033))
% 198.24/198.44 [2504]~E(x25041,x25042)+E(f422(x25043,x25041),f422(x25043,x25042))
% 198.24/198.44 [2505]~E(x25051,x25052)+E(f238(x25051,x25053,x25054,x25055,x25056),f238(x25052,x25053,x25054,x25055,x25056))
% 198.24/198.44 [2506]~E(x25061,x25062)+E(f238(x25063,x25061,x25064,x25065,x25066),f238(x25063,x25062,x25064,x25065,x25066))
% 198.24/198.44 [2507]~E(x25071,x25072)+E(f238(x25073,x25074,x25071,x25075,x25076),f238(x25073,x25074,x25072,x25075,x25076))
% 198.24/198.44 [2508]~E(x25081,x25082)+E(f238(x25083,x25084,x25085,x25081,x25086),f238(x25083,x25084,x25085,x25082,x25086))
% 198.24/198.44 [2509]~E(x25091,x25092)+E(f238(x25093,x25094,x25095,x25096,x25091),f238(x25093,x25094,x25095,x25096,x25092))
% 198.24/198.44 [2510]~E(x25101,x25102)+E(f423(x25101,x25103,x25104),f423(x25102,x25103,x25104))
% 198.24/198.44 [2511]~E(x25111,x25112)+E(f423(x25113,x25111,x25114),f423(x25113,x25112,x25114))
% 198.24/198.44 [2512]~E(x25121,x25122)+E(f423(x25123,x25124,x25121),f423(x25123,x25124,x25122))
% 198.24/198.44 [2513]~E(x25131,x25132)+E(f663(x25131,x25133,x25134,x25135,x25136,x25137),f663(x25132,x25133,x25134,x25135,x25136,x25137))
% 198.24/198.44 [2514]~E(x25141,x25142)+E(f663(x25143,x25141,x25144,x25145,x25146,x25147),f663(x25143,x25142,x25144,x25145,x25146,x25147))
% 198.24/198.44 [2515]~E(x25151,x25152)+E(f663(x25153,x25154,x25151,x25155,x25156,x25157),f663(x25153,x25154,x25152,x25155,x25156,x25157))
% 198.24/198.44 [2516]~E(x25161,x25162)+E(f663(x25163,x25164,x25165,x25161,x25166,x25167),f663(x25163,x25164,x25165,x25162,x25166,x25167))
% 198.24/198.44 [2517]~E(x25171,x25172)+E(f663(x25173,x25174,x25175,x25176,x25171,x25177),f663(x25173,x25174,x25175,x25176,x25172,x25177))
% 198.24/198.44 [2518]~E(x25181,x25182)+E(f663(x25183,x25184,x25185,x25186,x25187,x25181),f663(x25183,x25184,x25185,x25186,x25187,x25182))
% 198.24/198.44 [2519]~E(x25191,x25192)+E(f785(x25191,x25193,x25194),f785(x25192,x25193,x25194))
% 198.24/198.44 [2520]~E(x25201,x25202)+E(f785(x25203,x25201,x25204),f785(x25203,x25202,x25204))
% 198.24/198.44 [2521]~E(x25211,x25212)+E(f785(x25213,x25214,x25211),f785(x25213,x25214,x25212))
% 198.24/198.44 [2522]~E(x25221,x25222)+E(f148(x25221,x25223),f148(x25222,x25223))
% 198.24/198.44 [2523]~E(x25231,x25232)+E(f148(x25233,x25231),f148(x25233,x25232))
% 198.24/198.44 [2524]~E(x25241,x25242)+E(f530(x25241,x25243,x25244,x25245),f530(x25242,x25243,x25244,x25245))
% 198.24/198.44 [2525]~E(x25251,x25252)+E(f530(x25253,x25251,x25254,x25255),f530(x25253,x25252,x25254,x25255))
% 198.24/198.44 [2526]~E(x25261,x25262)+E(f530(x25263,x25264,x25261,x25265),f530(x25263,x25264,x25262,x25265))
% 198.24/198.44 [2527]~E(x25271,x25272)+E(f530(x25273,x25274,x25275,x25271),f530(x25273,x25274,x25275,x25272))
% 198.24/198.44 [2528]~E(x25281,x25282)+E(f828(x25281),f828(x25282))
% 198.24/198.44 [2529]~E(x25291,x25292)+E(f363(x25291),f363(x25292))
% 198.24/198.44 [2530]~E(x25301,x25302)+E(f664(x25301,x25303,x25304,x25305,x25306),f664(x25302,x25303,x25304,x25305,x25306))
% 198.24/198.44 [2531]~E(x25311,x25312)+E(f664(x25313,x25311,x25314,x25315,x25316),f664(x25313,x25312,x25314,x25315,x25316))
% 198.24/198.44 [2532]~E(x25321,x25322)+E(f664(x25323,x25324,x25321,x25325,x25326),f664(x25323,x25324,x25322,x25325,x25326))
% 198.24/198.44 [2533]~E(x25331,x25332)+E(f664(x25333,x25334,x25335,x25331,x25336),f664(x25333,x25334,x25335,x25332,x25336))
% 198.24/198.44 [2534]~E(x25341,x25342)+E(f664(x25343,x25344,x25345,x25346,x25341),f664(x25343,x25344,x25345,x25346,x25342))
% 198.24/198.44 [2535]~E(x25351,x25352)+E(f503(x25351,x25353),f503(x25352,x25353))
% 198.24/198.44 [2536]~E(x25361,x25362)+E(f503(x25363,x25361),f503(x25363,x25362))
% 198.24/198.44 [2537]~E(x25371,x25372)+E(f279(x25371,x25373,x25374,x25375,x25376),f279(x25372,x25373,x25374,x25375,x25376))
% 198.24/198.44 [2538]~E(x25381,x25382)+E(f279(x25383,x25381,x25384,x25385,x25386),f279(x25383,x25382,x25384,x25385,x25386))
% 198.24/198.44 [2539]~E(x25391,x25392)+E(f279(x25393,x25394,x25391,x25395,x25396),f279(x25393,x25394,x25392,x25395,x25396))
% 198.24/198.44 [2540]~E(x25401,x25402)+E(f279(x25403,x25404,x25405,x25401,x25406),f279(x25403,x25404,x25405,x25402,x25406))
% 198.24/198.44 [2541]~E(x25411,x25412)+E(f279(x25413,x25414,x25415,x25416,x25411),f279(x25413,x25414,x25415,x25416,x25412))
% 198.24/198.44 [2542]~E(x25421,x25422)+E(f96(x25421,x25423,x25424),f96(x25422,x25423,x25424))
% 198.24/198.44 [2543]~E(x25431,x25432)+E(f96(x25433,x25431,x25434),f96(x25433,x25432,x25434))
% 198.24/198.44 [2544]~E(x25441,x25442)+E(f96(x25443,x25444,x25441),f96(x25443,x25444,x25442))
% 198.24/198.44 [2545]~E(x25451,x25452)+E(f216(x25451,x25453,x25454),f216(x25452,x25453,x25454))
% 198.24/198.44 [2546]~E(x25461,x25462)+E(f216(x25463,x25461,x25464),f216(x25463,x25462,x25464))
% 198.24/198.44 [2547]~E(x25471,x25472)+E(f216(x25473,x25474,x25471),f216(x25473,x25474,x25472))
% 198.24/198.44 [2548]~E(x25481,x25482)+E(f21(x25481,x25483),f21(x25482,x25483))
% 198.24/198.44 [2549]~E(x25491,x25492)+E(f21(x25493,x25491),f21(x25493,x25492))
% 198.24/198.44 [2550]~E(x25501,x25502)+E(f642(x25501,x25503,x25504),f642(x25502,x25503,x25504))
% 198.24/198.44 [2551]~E(x25511,x25512)+E(f642(x25513,x25511,x25514),f642(x25513,x25512,x25514))
% 198.24/198.44 [2552]~E(x25521,x25522)+E(f642(x25523,x25524,x25521),f642(x25523,x25524,x25522))
% 198.24/198.44 [2553]~E(x25531,x25532)+E(f400(x25531,x25533,x25534,x25535),f400(x25532,x25533,x25534,x25535))
% 198.24/198.44 [2554]~E(x25541,x25542)+E(f400(x25543,x25541,x25544,x25545),f400(x25543,x25542,x25544,x25545))
% 198.24/198.44 [2555]~E(x25551,x25552)+E(f400(x25553,x25554,x25551,x25555),f400(x25553,x25554,x25552,x25555))
% 198.24/198.44 [2556]~E(x25561,x25562)+E(f400(x25563,x25564,x25565,x25561),f400(x25563,x25564,x25565,x25562))
% 198.24/198.44 [2557]~E(x25571,x25572)+E(f532(x25571,x25573,x25574,x25575),f532(x25572,x25573,x25574,x25575))
% 198.24/198.44 [2558]~E(x25581,x25582)+E(f532(x25583,x25581,x25584,x25585),f532(x25583,x25582,x25584,x25585))
% 198.24/198.44 [2559]~E(x25591,x25592)+E(f532(x25593,x25594,x25591,x25595),f532(x25593,x25594,x25592,x25595))
% 198.24/198.44 [2560]~E(x25601,x25602)+E(f532(x25603,x25604,x25605,x25601),f532(x25603,x25604,x25605,x25602))
% 198.24/198.44 [2561]~E(x25611,x25612)+E(f765(x25611,x25613,x25614,x25615),f765(x25612,x25613,x25614,x25615))
% 198.24/198.44 [2562]~E(x25621,x25622)+E(f765(x25623,x25621,x25624,x25625),f765(x25623,x25622,x25624,x25625))
% 198.24/198.44 [2563]~E(x25631,x25632)+E(f765(x25633,x25634,x25631,x25635),f765(x25633,x25634,x25632,x25635))
% 198.24/198.44 [2564]~E(x25641,x25642)+E(f765(x25643,x25644,x25645,x25641),f765(x25643,x25644,x25645,x25642))
% 198.24/198.44 [2565]~E(x25651,x25652)+E(f515(x25651,x25653,x25654,x25655,x25656),f515(x25652,x25653,x25654,x25655,x25656))
% 198.24/198.44 [2566]~E(x25661,x25662)+E(f515(x25663,x25661,x25664,x25665,x25666),f515(x25663,x25662,x25664,x25665,x25666))
% 198.24/198.44 [2567]~E(x25671,x25672)+E(f515(x25673,x25674,x25671,x25675,x25676),f515(x25673,x25674,x25672,x25675,x25676))
% 198.24/198.44 [2568]~E(x25681,x25682)+E(f515(x25683,x25684,x25685,x25681,x25686),f515(x25683,x25684,x25685,x25682,x25686))
% 198.24/198.44 [2569]~E(x25691,x25692)+E(f515(x25693,x25694,x25695,x25696,x25691),f515(x25693,x25694,x25695,x25696,x25692))
% 198.24/198.44 [2570]~E(x25701,x25702)+E(f610(x25701,x25703),f610(x25702,x25703))
% 198.24/198.44 [2571]~E(x25711,x25712)+E(f610(x25713,x25711),f610(x25713,x25712))
% 198.24/198.44 [2572]~E(x25721,x25722)+E(f408(x25721,x25723,x25724,x25725),f408(x25722,x25723,x25724,x25725))
% 198.24/198.44 [2573]~E(x25731,x25732)+E(f408(x25733,x25731,x25734,x25735),f408(x25733,x25732,x25734,x25735))
% 198.24/198.44 [2574]~E(x25741,x25742)+E(f408(x25743,x25744,x25741,x25745),f408(x25743,x25744,x25742,x25745))
% 198.24/198.44 [2575]~E(x25751,x25752)+E(f408(x25753,x25754,x25755,x25751),f408(x25753,x25754,x25755,x25752))
% 198.24/198.44 [2576]~E(x25761,x25762)+E(f498(x25761),f498(x25762))
% 198.24/198.44 [2577]~E(x25771,x25772)+E(f280(x25771,x25773,x25774,x25775,x25776),f280(x25772,x25773,x25774,x25775,x25776))
% 198.24/198.44 [2578]~E(x25781,x25782)+E(f280(x25783,x25781,x25784,x25785,x25786),f280(x25783,x25782,x25784,x25785,x25786))
% 198.24/198.44 [2579]~E(x25791,x25792)+E(f280(x25793,x25794,x25791,x25795,x25796),f280(x25793,x25794,x25792,x25795,x25796))
% 198.24/198.44 [2580]~E(x25801,x25802)+E(f280(x25803,x25804,x25805,x25801,x25806),f280(x25803,x25804,x25805,x25802,x25806))
% 198.24/198.44 [2581]~E(x25811,x25812)+E(f280(x25813,x25814,x25815,x25816,x25811),f280(x25813,x25814,x25815,x25816,x25812))
% 198.24/198.44 [2582]~E(x25821,x25822)+E(f382(x25821,x25823),f382(x25822,x25823))
% 198.24/198.44 [2583]~E(x25831,x25832)+E(f382(x25833,x25831),f382(x25833,x25832))
% 198.24/198.44 [2584]~E(x25841,x25842)+E(f427(x25841,x25843),f427(x25842,x25843))
% 198.24/198.44 [2585]~E(x25851,x25852)+E(f427(x25853,x25851),f427(x25853,x25852))
% 198.24/198.44 [2586]~E(x25861,x25862)+E(f428(x25861,x25863,x25864,x25865),f428(x25862,x25863,x25864,x25865))
% 198.24/198.44 [2587]~E(x25871,x25872)+E(f428(x25873,x25871,x25874,x25875),f428(x25873,x25872,x25874,x25875))
% 198.24/198.44 [2588]~E(x25881,x25882)+E(f428(x25883,x25884,x25881,x25885),f428(x25883,x25884,x25882,x25885))
% 198.24/198.44 [2589]~E(x25891,x25892)+E(f428(x25893,x25894,x25895,x25891),f428(x25893,x25894,x25895,x25892))
% 198.24/198.44 [2590]~E(x25901,x25902)+E(f743(x25901,x25903),f743(x25902,x25903))
% 198.24/198.44 [2591]~E(x25911,x25912)+E(f743(x25913,x25911),f743(x25913,x25912))
% 198.24/198.44 [2592]~E(x25921,x25922)+E(f771(x25921,x25923,x25924),f771(x25922,x25923,x25924))
% 198.24/198.44 [2593]~E(x25931,x25932)+E(f771(x25933,x25931,x25934),f771(x25933,x25932,x25934))
% 198.24/198.44 [2594]~E(x25941,x25942)+E(f771(x25943,x25944,x25941),f771(x25943,x25944,x25942))
% 198.24/198.44 [2595]~E(x25951,x25952)+E(f213(x25951),f213(x25952))
% 198.24/198.44 [2596]~E(x25961,x25962)+E(f838(x25961,x25963,x25964,x25965,x25966),f838(x25962,x25963,x25964,x25965,x25966))
% 198.24/198.44 [2597]~E(x25971,x25972)+E(f838(x25973,x25971,x25974,x25975,x25976),f838(x25973,x25972,x25974,x25975,x25976))
% 198.24/198.44 [2598]~E(x25981,x25982)+E(f838(x25983,x25984,x25981,x25985,x25986),f838(x25983,x25984,x25982,x25985,x25986))
% 198.24/198.44 [2599]~E(x25991,x25992)+E(f838(x25993,x25994,x25995,x25991,x25996),f838(x25993,x25994,x25995,x25992,x25996))
% 198.24/198.44 [2600]~E(x26001,x26002)+E(f838(x26003,x26004,x26005,x26006,x26001),f838(x26003,x26004,x26005,x26006,x26002))
% 198.24/198.44 [2601]~E(x26011,x26012)+E(f710(x26011,x26013,x26014),f710(x26012,x26013,x26014))
% 198.24/198.44 [2602]~E(x26021,x26022)+E(f710(x26023,x26021,x26024),f710(x26023,x26022,x26024))
% 198.24/198.44 [2603]~E(x26031,x26032)+E(f710(x26033,x26034,x26031),f710(x26033,x26034,x26032))
% 198.24/198.44 [2604]~E(x26041,x26042)+E(f126(x26041),f126(x26042))
% 198.24/198.44 [2605]~E(x26051,x26052)+E(f632(x26051,x26053,x26054),f632(x26052,x26053,x26054))
% 198.24/198.44 [2606]~E(x26061,x26062)+E(f632(x26063,x26061,x26064),f632(x26063,x26062,x26064))
% 198.24/198.44 [2607]~E(x26071,x26072)+E(f632(x26073,x26074,x26071),f632(x26073,x26074,x26072))
% 198.24/198.44 [2608]~E(x26081,x26082)+E(f723(x26081,x26083),f723(x26082,x26083))
% 198.24/198.44 [2609]~E(x26091,x26092)+E(f723(x26093,x26091),f723(x26093,x26092))
% 198.24/198.44 [2610]~E(x26101,x26102)+E(f554(x26101),f554(x26102))
% 198.24/198.44 [2611]~E(x26111,x26112)+E(f471(x26111,x26113,x26114),f471(x26112,x26113,x26114))
% 198.24/198.44 [2612]~E(x26121,x26122)+E(f471(x26123,x26121,x26124),f471(x26123,x26122,x26124))
% 198.24/198.44 [2613]~E(x26131,x26132)+E(f471(x26133,x26134,x26131),f471(x26133,x26134,x26132))
% 198.24/198.44 [2614]~E(x26141,x26142)+E(f857(x26141,x26143,x26144),f857(x26142,x26143,x26144))
% 198.24/198.44 [2615]~E(x26151,x26152)+E(f857(x26153,x26151,x26154),f857(x26153,x26152,x26154))
% 198.24/198.44 [2616]~E(x26161,x26162)+E(f857(x26163,x26164,x26161),f857(x26163,x26164,x26162))
% 198.24/198.44 [2617]~E(x26171,x26172)+E(f298(x26171,x26173,x26174),f298(x26172,x26173,x26174))
% 198.24/198.44 [2618]~E(x26181,x26182)+E(f298(x26183,x26181,x26184),f298(x26183,x26182,x26184))
% 198.24/198.44 [2619]~E(x26191,x26192)+E(f298(x26193,x26194,x26191),f298(x26193,x26194,x26192))
% 198.24/198.44 [2620]~E(x26201,x26202)+E(f622(x26201,x26203),f622(x26202,x26203))
% 198.24/198.44 [2621]~E(x26211,x26212)+E(f622(x26213,x26211),f622(x26213,x26212))
% 198.24/198.44 [2622]~E(x26221,x26222)+E(f605(x26221,x26223,x26224),f605(x26222,x26223,x26224))
% 198.24/198.44 [2623]~E(x26231,x26232)+E(f605(x26233,x26231,x26234),f605(x26233,x26232,x26234))
% 198.24/198.44 [2624]~E(x26241,x26242)+E(f605(x26243,x26244,x26241),f605(x26243,x26244,x26242))
% 198.24/198.44 [2625]~E(x26251,x26252)+E(f217(x26251),f217(x26252))
% 198.24/198.44 [2626]~E(x26261,x26262)+E(f220(x26261,x26263,x26264,x26265),f220(x26262,x26263,x26264,x26265))
% 198.24/198.44 [2627]~E(x26271,x26272)+E(f220(x26273,x26271,x26274,x26275),f220(x26273,x26272,x26274,x26275))
% 198.24/198.44 [2628]~E(x26281,x26282)+E(f220(x26283,x26284,x26281,x26285),f220(x26283,x26284,x26282,x26285))
% 198.24/198.44 [2629]~E(x26291,x26292)+E(f220(x26293,x26294,x26295,x26291),f220(x26293,x26294,x26295,x26292))
% 198.24/198.44 [2630]~E(x26301,x26302)+E(f344(x26301),f344(x26302))
% 198.24/198.44 [2631]~E(x26311,x26312)+E(f443(x26311,x26313),f443(x26312,x26313))
% 198.24/198.44 [2632]~E(x26321,x26322)+E(f443(x26323,x26321),f443(x26323,x26322))
% 198.24/198.44 [2633]~E(x26331,x26332)+E(f454(x26331,x26333),f454(x26332,x26333))
% 198.24/198.44 [2634]~E(x26341,x26342)+E(f454(x26343,x26341),f454(x26343,x26342))
% 198.24/198.44 [2635]~E(x26351,x26352)+E(f745(x26351,x26353),f745(x26352,x26353))
% 198.24/198.44 [2636]~E(x26361,x26362)+E(f745(x26363,x26361),f745(x26363,x26362))
% 198.24/198.44 [2637]~E(x26371,x26372)+E(f645(x26371,x26373,x26374,x26375),f645(x26372,x26373,x26374,x26375))
% 198.24/198.44 [2638]~E(x26381,x26382)+E(f645(x26383,x26381,x26384,x26385),f645(x26383,x26382,x26384,x26385))
% 198.24/198.44 [2639]~E(x26391,x26392)+E(f645(x26393,x26394,x26391,x26395),f645(x26393,x26394,x26392,x26395))
% 198.24/198.44 [2640]~E(x26401,x26402)+E(f645(x26403,x26404,x26405,x26401),f645(x26403,x26404,x26405,x26402))
% 198.24/198.44 [2641]~E(x26411,x26412)+E(f481(x26411,x26413,x26414),f481(x26412,x26413,x26414))
% 198.24/198.44 [2642]~E(x26421,x26422)+E(f481(x26423,x26421,x26424),f481(x26423,x26422,x26424))
% 198.24/198.44 [2643]~E(x26431,x26432)+E(f481(x26433,x26434,x26431),f481(x26433,x26434,x26432))
% 198.24/198.44 [2644]~E(x26441,x26442)+E(f240(x26441,x26443,x26444),f240(x26442,x26443,x26444))
% 198.24/198.44 [2645]~E(x26451,x26452)+E(f240(x26453,x26451,x26454),f240(x26453,x26452,x26454))
% 198.24/198.44 [2646]~E(x26461,x26462)+E(f240(x26463,x26464,x26461),f240(x26463,x26464,x26462))
% 198.24/198.44 [2647]~E(x26471,x26472)+E(f817(x26471,x26473),f817(x26472,x26473))
% 198.24/198.44 [2648]~E(x26481,x26482)+E(f817(x26483,x26481),f817(x26483,x26482))
% 198.24/198.44 [2649]~E(x26491,x26492)+E(f524(x26491,x26493),f524(x26492,x26493))
% 198.24/198.44 [2650]~E(x26501,x26502)+E(f524(x26503,x26501),f524(x26503,x26502))
% 198.24/198.44 [2651]~P1(x26511)+P1(x26512)+~E(x26511,x26512)
% 198.24/198.44 [2652]~P2(x26521)+P2(x26522)+~E(x26521,x26522)
% 198.24/198.44 [2653]~P24(x26531)+P24(x26532)+~E(x26531,x26532)
% 198.24/198.44 [2654]~P25(x26541)+P25(x26542)+~E(x26541,x26542)
% 198.24/198.44 [2655]P145(x26552,x26553,x26554)+~E(x26551,x26552)+~P145(x26551,x26553,x26554)
% 198.24/198.44 [2656]P145(x26563,x26562,x26564)+~E(x26561,x26562)+~P145(x26563,x26561,x26564)
% 198.24/198.44 [2657]P145(x26573,x26574,x26572)+~E(x26571,x26572)+~P145(x26573,x26574,x26571)
% 198.24/198.44 [2658]~P62(x26581)+P62(x26582)+~E(x26581,x26582)
% 198.24/198.44 [2659]~P124(x26591)+P124(x26592)+~E(x26591,x26592)
% 198.24/198.44 [2660]~P122(x26601)+P122(x26602)+~E(x26601,x26602)
% 198.24/198.44 [2661]~P64(x26611)+P64(x26612)+~E(x26611,x26612)
% 198.24/198.44 [2662]~P63(x26621)+P63(x26622)+~E(x26621,x26622)
% 198.24/198.44 [2663]~P76(x26631)+P76(x26632)+~E(x26631,x26632)
% 198.24/198.44 [2664]~P105(x26641)+P105(x26642)+~E(x26641,x26642)
% 198.24/198.44 [2665]P39(x26652,x26653)+~E(x26651,x26652)+~P39(x26651,x26653)
% 198.24/198.44 [2666]P39(x26663,x26662)+~E(x26661,x26662)+~P39(x26663,x26661)
% 198.24/198.44 [2667]~P94(x26671)+P94(x26672)+~E(x26671,x26672)
% 198.24/198.44 [2668]~P106(x26681)+P106(x26682)+~E(x26681,x26682)
% 198.24/198.44 [2669]~P83(x26691)+P83(x26692)+~E(x26691,x26692)
% 198.24/198.44 [2670]~P82(x26701)+P82(x26702)+~E(x26701,x26702)
% 198.24/198.44 [2671]P30(x26712,x26713)+~E(x26711,x26712)+~P30(x26711,x26713)
% 198.24/198.44 [2672]P30(x26723,x26722)+~E(x26721,x26722)+~P30(x26723,x26721)
% 198.24/198.44 [2673]~P107(x26731)+P107(x26732)+~E(x26731,x26732)
% 198.24/198.44 [2674]~P110(x26741)+P110(x26742)+~E(x26741,x26742)
% 198.24/198.44 [2675]~P27(x26751)+P27(x26752)+~E(x26751,x26752)
% 198.24/198.44 [2676]P31(x26762,x26763,x26764)+~E(x26761,x26762)+~P31(x26761,x26763,x26764)
% 198.24/198.44 [2677]P31(x26773,x26772,x26774)+~E(x26771,x26772)+~P31(x26773,x26771,x26774)
% 198.24/198.44 [2678]P31(x26783,x26784,x26782)+~E(x26781,x26782)+~P31(x26783,x26784,x26781)
% 198.24/198.44 [2679]P20(x26792,x26793,x26794)+~E(x26791,x26792)+~P20(x26791,x26793,x26794)
% 198.24/198.44 [2680]P20(x26803,x26802,x26804)+~E(x26801,x26802)+~P20(x26803,x26801,x26804)
% 198.24/198.44 [2681]P20(x26813,x26814,x26812)+~E(x26811,x26812)+~P20(x26813,x26814,x26811)
% 198.24/198.44 [2682]P11(x26822,x26823,x26824)+~E(x26821,x26822)+~P11(x26821,x26823,x26824)
% 198.24/198.44 [2683]P11(x26833,x26832,x26834)+~E(x26831,x26832)+~P11(x26833,x26831,x26834)
% 198.24/198.44 [2684]P11(x26843,x26844,x26842)+~E(x26841,x26842)+~P11(x26843,x26844,x26841)
% 198.24/198.44 [2685]P144(x26852,x26853,x26854)+~E(x26851,x26852)+~P144(x26851,x26853,x26854)
% 198.24/198.44 [2686]P144(x26863,x26862,x26864)+~E(x26861,x26862)+~P144(x26863,x26861,x26864)
% 198.24/198.44 [2687]P144(x26873,x26874,x26872)+~E(x26871,x26872)+~P144(x26873,x26874,x26871)
% 198.24/198.44 [2688]~P65(x26881)+P65(x26882)+~E(x26881,x26882)
% 198.24/198.44 [2689]~P100(x26891)+P100(x26892)+~E(x26891,x26892)
% 198.24/198.44 [2690]~P93(x26901)+P93(x26902)+~E(x26901,x26902)
% 198.24/198.44 [2691]~P116(x26911)+P116(x26912)+~E(x26911,x26912)
% 198.24/198.44 [2692]~P66(x26921)+P66(x26922)+~E(x26921,x26922)
% 198.24/198.44 [2693]~P58(x26931)+P58(x26932)+~E(x26931,x26932)
% 198.24/198.44 [2694]~P108(x26941)+P108(x26942)+~E(x26941,x26942)
% 198.24/198.44 [2695]~P84(x26951)+P84(x26952)+~E(x26951,x26952)
% 198.24/198.44 [2696]~P78(x26961)+P78(x26962)+~E(x26961,x26962)
% 198.24/198.44 [2697]~P67(x26971)+P67(x26972)+~E(x26971,x26972)
% 198.24/198.44 [2698]~P28(x26981)+P28(x26982)+~E(x26981,x26982)
% 198.24/198.44 [2699]~P68(x26991)+P68(x26992)+~E(x26991,x26992)
% 198.24/198.44 [2700]~P75(x27001)+P75(x27002)+~E(x27001,x27002)
% 198.24/198.44 [2701]~P86(x27011)+P86(x27012)+~E(x27011,x27012)
% 198.24/198.44 [2702]~P135(x27021)+P135(x27022)+~E(x27021,x27022)
% 198.24/198.44 [2703]~P60(x27031)+P60(x27032)+~E(x27031,x27032)
% 198.24/198.44 [2704]P23(x27042,x27043,x27044)+~E(x27041,x27042)+~P23(x27041,x27043,x27044)
% 198.24/198.44 [2705]P23(x27053,x27052,x27054)+~E(x27051,x27052)+~P23(x27053,x27051,x27054)
% 198.24/198.44 [2706]P23(x27063,x27064,x27062)+~E(x27061,x27062)+~P23(x27063,x27064,x27061)
% 198.24/198.44 [2707]~P101(x27071)+P101(x27072)+~E(x27071,x27072)
% 198.24/198.44 [2708]P36(x27082,x27083,x27084,x27085,x27086)+~E(x27081,x27082)+~P36(x27081,x27083,x27084,x27085,x27086)
% 198.24/198.44 [2709]P36(x27093,x27092,x27094,x27095,x27096)+~E(x27091,x27092)+~P36(x27093,x27091,x27094,x27095,x27096)
% 198.24/198.44 [2710]P36(x27103,x27104,x27102,x27105,x27106)+~E(x27101,x27102)+~P36(x27103,x27104,x27101,x27105,x27106)
% 198.24/198.44 [2711]P36(x27113,x27114,x27115,x27112,x27116)+~E(x27111,x27112)+~P36(x27113,x27114,x27115,x27111,x27116)
% 198.24/198.44 [2712]P36(x27123,x27124,x27125,x27126,x27122)+~E(x27121,x27122)+~P36(x27123,x27124,x27125,x27126,x27121)
% 198.24/198.44 [2713]~P70(x27131)+P70(x27132)+~E(x27131,x27132)
% 198.24/198.44 [2714]~P40(x27141)+P40(x27142)+~E(x27141,x27142)
% 198.24/198.44 [2715]P54(x27152,x27153)+~E(x27151,x27152)+~P54(x27151,x27153)
% 198.24/198.44 [2716]P54(x27163,x27162)+~E(x27161,x27162)+~P54(x27163,x27161)
% 198.24/198.44 [2717]~P85(x27171)+P85(x27172)+~E(x27171,x27172)
% 198.24/198.44 [2718]~P98(x27181)+P98(x27182)+~E(x27181,x27182)
% 198.24/198.44 [2719]~P74(x27191)+P74(x27192)+~E(x27191,x27192)
% 198.24/198.44 [2720]P41(x27202,x27203,x27204)+~E(x27201,x27202)+~P41(x27201,x27203,x27204)
% 198.24/198.44 [2721]P41(x27213,x27212,x27214)+~E(x27211,x27212)+~P41(x27213,x27211,x27214)
% 198.24/198.44 [2722]P41(x27223,x27224,x27222)+~E(x27221,x27222)+~P41(x27223,x27224,x27221)
% 198.24/198.44 [2723]~P26(x27231)+P26(x27232)+~E(x27231,x27232)
% 198.24/198.44 [2724]~P88(x27241)+P88(x27242)+~E(x27241,x27242)
% 198.24/198.44 [2725]~P87(x27251)+P87(x27252)+~E(x27251,x27252)
% 198.24/198.44 [2726]P21(x27262,x27263,x27264,x27265)+~E(x27261,x27262)+~P21(x27261,x27263,x27264,x27265)
% 198.24/198.44 [2727]P21(x27273,x27272,x27274,x27275)+~E(x27271,x27272)+~P21(x27273,x27271,x27274,x27275)
% 198.24/198.44 [2728]P21(x27283,x27284,x27282,x27285)+~E(x27281,x27282)+~P21(x27283,x27284,x27281,x27285)
% 198.24/198.44 [2729]P21(x27293,x27294,x27295,x27292)+~E(x27291,x27292)+~P21(x27293,x27294,x27295,x27291)
% 198.24/198.44 [2730]P32(x27302,x27303)+~E(x27301,x27302)+~P32(x27301,x27303)
% 198.24/198.44 [2731]P32(x27313,x27312)+~E(x27311,x27312)+~P32(x27313,x27311)
% 198.24/198.44 [2732]P35(x27322,x27323,x27324)+~E(x27321,x27322)+~P35(x27321,x27323,x27324)
% 198.24/198.44 [2733]P35(x27333,x27332,x27334)+~E(x27331,x27332)+~P35(x27333,x27331,x27334)
% 198.24/198.44 [2734]P35(x27343,x27344,x27342)+~E(x27341,x27342)+~P35(x27343,x27344,x27341)
% 198.24/198.44 [2735]~P79(x27351)+P79(x27352)+~E(x27351,x27352)
% 198.24/198.44 [2736]~P57(x27361)+P57(x27362)+~E(x27361,x27362)
% 198.24/198.44 [2737]~P138(x27371)+P138(x27372)+~E(x27371,x27372)
% 198.24/198.44 [2738]~P69(x27381)+P69(x27382)+~E(x27381,x27382)
% 198.24/198.44 [2739]~P142(x27391)+P142(x27392)+~E(x27391,x27392)
% 198.24/198.44 [2740]P19(x27402,x27403,x27404,x27405,x27406,x27407)+~E(x27401,x27402)+~P19(x27401,x27403,x27404,x27405,x27406,x27407)
% 198.24/198.44 [2741]P19(x27413,x27412,x27414,x27415,x27416,x27417)+~E(x27411,x27412)+~P19(x27413,x27411,x27414,x27415,x27416,x27417)
% 198.24/198.44 [2742]P19(x27423,x27424,x27422,x27425,x27426,x27427)+~E(x27421,x27422)+~P19(x27423,x27424,x27421,x27425,x27426,x27427)
% 198.24/198.44 [2743]P19(x27433,x27434,x27435,x27432,x27436,x27437)+~E(x27431,x27432)+~P19(x27433,x27434,x27435,x27431,x27436,x27437)
% 198.24/198.44 [2744]P19(x27443,x27444,x27445,x27446,x27442,x27447)+~E(x27441,x27442)+~P19(x27443,x27444,x27445,x27446,x27441,x27447)
% 198.24/198.44 [2745]P19(x27453,x27454,x27455,x27456,x27457,x27452)+~E(x27451,x27452)+~P19(x27453,x27454,x27455,x27456,x27457,x27451)
% 198.24/198.44 [2746]~P71(x27461)+P71(x27462)+~E(x27461,x27462)
% 198.24/198.44 [2747]~P29(x27471)+P29(x27472)+~E(x27471,x27472)
% 198.24/198.44 [2748]~P139(x27481)+P139(x27482)+~E(x27481,x27482)
% 198.24/198.44 [2749]~P72(x27491)+P72(x27492)+~E(x27491,x27492)
% 198.24/198.44 [2750]~P136(x27501)+P136(x27502)+~E(x27501,x27502)
% 198.24/198.44 [2751]P52(x27512,x27513,x27514)+~E(x27511,x27512)+~P52(x27511,x27513,x27514)
% 198.24/198.44 [2752]P52(x27523,x27522,x27524)+~E(x27521,x27522)+~P52(x27523,x27521,x27524)
% 198.24/198.44 [2753]P52(x27533,x27534,x27532)+~E(x27531,x27532)+~P52(x27533,x27534,x27531)
% 198.24/198.44 [2754]P37(x27542,x27543,x27544)+~E(x27541,x27542)+~P37(x27541,x27543,x27544)
% 198.24/198.44 [2755]P37(x27553,x27552,x27554)+~E(x27551,x27552)+~P37(x27553,x27551,x27554)
% 198.24/198.44 [2756]P37(x27563,x27564,x27562)+~E(x27561,x27562)+~P37(x27563,x27564,x27561)
% 198.24/198.44 [2757]P7(x27572,x27573,x27574)+~E(x27571,x27572)+~P7(x27571,x27573,x27574)
% 198.24/198.44 [2758]P7(x27583,x27582,x27584)+~E(x27581,x27582)+~P7(x27583,x27581,x27584)
% 198.24/198.44 [2759]P7(x27593,x27594,x27592)+~E(x27591,x27592)+~P7(x27593,x27594,x27591)
% 198.24/198.44 [2760]P50(x27602,x27603)+~E(x27601,x27602)+~P50(x27601,x27603)
% 198.24/198.44 [2761]P50(x27613,x27612)+~E(x27611,x27612)+~P50(x27613,x27611)
% 198.24/198.44 [2762]P12(x27622,x27623,x27624)+~E(x27621,x27622)+~P12(x27621,x27623,x27624)
% 198.24/198.44 [2763]P12(x27633,x27632,x27634)+~E(x27631,x27632)+~P12(x27633,x27631,x27634)
% 198.24/198.44 [2764]P12(x27643,x27644,x27642)+~E(x27641,x27642)+~P12(x27643,x27644,x27641)
% 198.24/198.44 [2765]P14(x27652,x27653,x27654)+~E(x27651,x27652)+~P14(x27651,x27653,x27654)
% 198.24/198.44 [2766]P14(x27663,x27662,x27664)+~E(x27661,x27662)+~P14(x27663,x27661,x27664)
% 198.24/198.44 [2767]P14(x27673,x27674,x27672)+~E(x27671,x27672)+~P14(x27673,x27674,x27671)
% 198.24/198.44 [2768]P8(x27682,x27683,x27684)+~E(x27681,x27682)+~P8(x27681,x27683,x27684)
% 198.24/198.44 [2769]P8(x27693,x27692,x27694)+~E(x27691,x27692)+~P8(x27693,x27691,x27694)
% 198.24/198.44 [2770]P8(x27703,x27704,x27702)+~E(x27701,x27702)+~P8(x27703,x27704,x27701)
% 198.24/198.44 [2771]P55(x27712,x27713,x27714,x27715)+~E(x27711,x27712)+~P55(x27711,x27713,x27714,x27715)
% 198.24/198.44 [2772]P55(x27723,x27722,x27724,x27725)+~E(x27721,x27722)+~P55(x27723,x27721,x27724,x27725)
% 198.24/198.44 [2773]P55(x27733,x27734,x27732,x27735)+~E(x27731,x27732)+~P55(x27733,x27734,x27731,x27735)
% 198.24/198.44 [2774]P55(x27743,x27744,x27745,x27742)+~E(x27741,x27742)+~P55(x27743,x27744,x27745,x27741)
% 198.24/198.44 [2775]~P80(x27751)+P80(x27752)+~E(x27751,x27752)
% 198.24/198.44 [2776]P4(x27762,x27763,x27764,x27765,x27766)+~E(x27761,x27762)+~P4(x27761,x27763,x27764,x27765,x27766)
% 198.24/198.44 [2777]P4(x27773,x27772,x27774,x27775,x27776)+~E(x27771,x27772)+~P4(x27773,x27771,x27774,x27775,x27776)
% 198.24/198.44 [2778]P4(x27783,x27784,x27782,x27785,x27786)+~E(x27781,x27782)+~P4(x27783,x27784,x27781,x27785,x27786)
% 198.24/198.44 [2779]P4(x27793,x27794,x27795,x27792,x27796)+~E(x27791,x27792)+~P4(x27793,x27794,x27795,x27791,x27796)
% 198.24/198.44 [2780]P4(x27803,x27804,x27805,x27806,x27802)+~E(x27801,x27802)+~P4(x27803,x27804,x27805,x27806,x27801)
% 198.24/198.44 [2781]~P92(x27811)+P92(x27812)+~E(x27811,x27812)
% 198.24/198.44 [2782]~P109(x27821)+P109(x27822)+~E(x27821,x27822)
% 198.24/198.44 [2783]~P61(x27831)+P61(x27832)+~E(x27831,x27832)
% 198.24/198.44 [2784]~P140(x27841)+P140(x27842)+~E(x27841,x27842)
% 198.24/198.44 [2785]P33(x27852,x27853,x27854)+~E(x27851,x27852)+~P33(x27851,x27853,x27854)
% 198.24/198.44 [2786]P33(x27863,x27862,x27864)+~E(x27861,x27862)+~P33(x27863,x27861,x27864)
% 198.24/198.44 [2787]P33(x27873,x27874,x27872)+~E(x27871,x27872)+~P33(x27873,x27874,x27871)
% 198.24/198.44 [2788]P6(x27882,x27883,x27884)+~E(x27881,x27882)+~P6(x27881,x27883,x27884)
% 198.24/198.44 [2789]P6(x27893,x27892,x27894)+~E(x27891,x27892)+~P6(x27893,x27891,x27894)
% 198.24/198.44 [2790]P6(x27903,x27904,x27902)+~E(x27901,x27902)+~P6(x27903,x27904,x27901)
% 198.24/198.44 [2791]P53(x27912,x27913,x27914,x27915,x27916)+~E(x27911,x27912)+~P53(x27911,x27913,x27914,x27915,x27916)
% 198.24/198.44 [2792]P53(x27923,x27922,x27924,x27925,x27926)+~E(x27921,x27922)+~P53(x27923,x27921,x27924,x27925,x27926)
% 198.24/198.44 [2793]P53(x27933,x27934,x27932,x27935,x27936)+~E(x27931,x27932)+~P53(x27933,x27934,x27931,x27935,x27936)
% 198.24/198.44 [2794]P53(x27943,x27944,x27945,x27942,x27946)+~E(x27941,x27942)+~P53(x27943,x27944,x27945,x27941,x27946)
% 198.24/198.44 [2795]P53(x27953,x27954,x27955,x27956,x27952)+~E(x27951,x27952)+~P53(x27953,x27954,x27955,x27956,x27951)
% 198.24/198.44 [2796]~P131(x27961)+P131(x27962)+~E(x27961,x27962)
% 198.24/198.44 [2797]~P111(x27971)+P111(x27972)+~E(x27971,x27972)
% 198.24/198.44 [2798]~P119(x27981)+P119(x27982)+~E(x27981,x27982)
% 198.24/198.44 [2799]~P130(x27991)+P130(x27992)+~E(x27991,x27992)
% 198.24/198.44 [2800]~P95(x28001)+P95(x28002)+~E(x28001,x28002)
% 198.24/198.44 [2801]~P118(x28011)+P118(x28012)+~E(x28011,x28012)
% 198.24/198.44 [2802]~P133(x28021)+P133(x28022)+~E(x28021,x28022)
% 198.24/198.44 [2803]~P96(x28031)+P96(x28032)+~E(x28031,x28032)
% 198.24/198.44 [2804]~P121(x28041)+P121(x28042)+~E(x28041,x28042)
% 198.24/198.44 [2805]P51(x28052,x28053,x28054)+~E(x28051,x28052)+~P51(x28051,x28053,x28054)
% 198.24/198.44 [2806]P51(x28063,x28062,x28064)+~E(x28061,x28062)+~P51(x28063,x28061,x28064)
% 198.24/198.44 [2807]P51(x28073,x28074,x28072)+~E(x28071,x28072)+~P51(x28073,x28074,x28071)
% 198.24/198.44 [2808]P45(x28082,x28083)+~E(x28081,x28082)+~P45(x28081,x28083)
% 198.24/198.44 [2809]P45(x28093,x28092)+~E(x28091,x28092)+~P45(x28093,x28091)
% 198.24/198.44 [2810]P16(x28102,x28103,x28104,x28105)+~E(x28101,x28102)+~P16(x28101,x28103,x28104,x28105)
% 198.24/198.44 [2811]P16(x28113,x28112,x28114,x28115)+~E(x28111,x28112)+~P16(x28113,x28111,x28114,x28115)
% 198.24/198.44 [2812]P16(x28123,x28124,x28122,x28125)+~E(x28121,x28122)+~P16(x28123,x28124,x28121,x28125)
% 198.24/198.44 [2813]P16(x28133,x28134,x28135,x28132)+~E(x28131,x28132)+~P16(x28133,x28134,x28135,x28131)
% 198.24/198.44 [2814]P15(x28142,x28143,x28144,x28145)+~E(x28141,x28142)+~P15(x28141,x28143,x28144,x28145)
% 198.24/198.44 [2815]P15(x28153,x28152,x28154,x28155)+~E(x28151,x28152)+~P15(x28153,x28151,x28154,x28155)
% 198.24/198.44 [2816]P15(x28163,x28164,x28162,x28165)+~E(x28161,x28162)+~P15(x28163,x28164,x28161,x28165)
% 198.24/198.44 [2817]P15(x28173,x28174,x28175,x28172)+~E(x28171,x28172)+~P15(x28173,x28174,x28175,x28171)
% 198.24/198.44 [2818]~P117(x28181)+P117(x28182)+~E(x28181,x28182)
% 198.24/198.44 [2819]~P112(x28191)+P112(x28192)+~E(x28191,x28192)
% 198.24/198.44 [2820]~P137(x28201)+P137(x28202)+~E(x28201,x28202)
% 198.24/198.44 [2821]P43(x28212,x28213)+~E(x28211,x28212)+~P43(x28211,x28213)
% 198.24/198.44 [2822]P43(x28223,x28222)+~E(x28221,x28222)+~P43(x28223,x28221)
% 198.24/198.44 [2823]~P113(x28231)+P113(x28232)+~E(x28231,x28232)
% 198.24/198.44 [2824]~P59(x28241)+P59(x28242)+~E(x28241,x28242)
% 198.24/198.44 [2825]~P73(x28251)+P73(x28252)+~E(x28251,x28252)
% 198.24/198.44 [2826]~P125(x28261)+P125(x28262)+~E(x28261,x28262)
% 198.24/198.44 [2827]~P128(x28271)+P128(x28272)+~E(x28271,x28272)
% 198.24/198.44 [2828]P56(x28282,x28283)+~E(x28281,x28282)+~P56(x28281,x28283)
% 198.24/198.44 [2829]P56(x28293,x28292)+~E(x28291,x28292)+~P56(x28293,x28291)
% 198.24/198.44 [2830]~P99(x28301)+P99(x28302)+~E(x28301,x28302)
% 198.24/198.44 [2831]P22(x28312,x28313)+~E(x28311,x28312)+~P22(x28311,x28313)
% 198.24/198.44 [2832]P22(x28323,x28322)+~E(x28321,x28322)+~P22(x28323,x28321)
% 198.24/198.44 [2833]P34(x28332,x28333,x28334,x28335)+~E(x28331,x28332)+~P34(x28331,x28333,x28334,x28335)
% 198.24/198.44 [2834]P34(x28343,x28342,x28344,x28345)+~E(x28341,x28342)+~P34(x28343,x28341,x28344,x28345)
% 198.24/198.44 [2835]P34(x28353,x28354,x28352,x28355)+~E(x28351,x28352)+~P34(x28353,x28354,x28351,x28355)
% 198.24/198.44 [2836]P34(x28363,x28364,x28365,x28362)+~E(x28361,x28362)+~P34(x28363,x28364,x28365,x28361)
% 198.24/198.44 [2837]~P97(x28371)+P97(x28372)+~E(x28371,x28372)
% 198.24/198.44 [2838]~P141(x28381)+P141(x28382)+~E(x28381,x28382)
% 198.24/198.44 [2839]P17(x28392,x28393,x28394,x28395,x28396)+~E(x28391,x28392)+~P17(x28391,x28393,x28394,x28395,x28396)
% 198.24/198.44 [2840]P17(x28403,x28402,x28404,x28405,x28406)+~E(x28401,x28402)+~P17(x28403,x28401,x28404,x28405,x28406)
% 198.24/198.44 [2841]P17(x28413,x28414,x28412,x28415,x28416)+~E(x28411,x28412)+~P17(x28413,x28414,x28411,x28415,x28416)
% 198.24/198.44 [2842]P17(x28423,x28424,x28425,x28422,x28426)+~E(x28421,x28422)+~P17(x28423,x28424,x28425,x28421,x28426)
% 198.24/198.44 [2843]P17(x28433,x28434,x28435,x28436,x28432)+~E(x28431,x28432)+~P17(x28433,x28434,x28435,x28436,x28431)
% 198.24/198.44 [2844]P44(x28442,x28443,x28444,x28445,x28446,x28447)+~E(x28441,x28442)+~P44(x28441,x28443,x28444,x28445,x28446,x28447)
% 198.24/198.44 [2845]P44(x28453,x28452,x28454,x28455,x28456,x28457)+~E(x28451,x28452)+~P44(x28453,x28451,x28454,x28455,x28456,x28457)
% 198.24/198.44 [2846]P44(x28463,x28464,x28462,x28465,x28466,x28467)+~E(x28461,x28462)+~P44(x28463,x28464,x28461,x28465,x28466,x28467)
% 198.24/198.44 [2847]P44(x28473,x28474,x28475,x28472,x28476,x28477)+~E(x28471,x28472)+~P44(x28473,x28474,x28475,x28471,x28476,x28477)
% 198.24/198.44 [2848]P44(x28483,x28484,x28485,x28486,x28482,x28487)+~E(x28481,x28482)+~P44(x28483,x28484,x28485,x28486,x28481,x28487)
% 198.24/198.44 [2849]P44(x28493,x28494,x28495,x28496,x28497,x28492)+~E(x28491,x28492)+~P44(x28493,x28494,x28495,x28496,x28497,x28491)
% 198.24/198.44 [2850]~P114(x28501)+P114(x28502)+~E(x28501,x28502)
% 198.24/198.44 [2851]~P91(x28511)+P91(x28512)+~E(x28511,x28512)
% 198.24/198.44 [2852]P13(x28522,x28523,x28524)+~E(x28521,x28522)+~P13(x28521,x28523,x28524)
% 198.24/198.44 [2853]P13(x28533,x28532,x28534)+~E(x28531,x28532)+~P13(x28533,x28531,x28534)
% 198.24/198.44 [2854]P13(x28543,x28544,x28542)+~E(x28541,x28542)+~P13(x28543,x28544,x28541)
% 198.24/198.44 [2855]P10(x28552,x28553,x28554,x28555,x28556,x28557)+~E(x28551,x28552)+~P10(x28551,x28553,x28554,x28555,x28556,x28557)
% 198.24/198.44 [2856]P10(x28563,x28562,x28564,x28565,x28566,x28567)+~E(x28561,x28562)+~P10(x28563,x28561,x28564,x28565,x28566,x28567)
% 198.24/198.44 [2857]P10(x28573,x28574,x28572,x28575,x28576,x28577)+~E(x28571,x28572)+~P10(x28573,x28574,x28571,x28575,x28576,x28577)
% 198.24/198.44 [2858]P10(x28583,x28584,x28585,x28582,x28586,x28587)+~E(x28581,x28582)+~P10(x28583,x28584,x28585,x28581,x28586,x28587)
% 198.24/198.44 [2859]P10(x28593,x28594,x28595,x28596,x28592,x28597)+~E(x28591,x28592)+~P10(x28593,x28594,x28595,x28596,x28591,x28597)
% 198.24/198.44 [2860]P10(x28603,x28604,x28605,x28606,x28607,x28602)+~E(x28601,x28602)+~P10(x28603,x28604,x28605,x28606,x28607,x28601)
% 198.24/198.44 [2861]~P81(x28611)+P81(x28612)+~E(x28611,x28612)
% 198.24/198.44 [2862]~P77(x28621)+P77(x28622)+~E(x28621,x28622)
% 198.24/198.44 [2863]P18(x28632,x28633,x28634,x28635,x28636,x28637)+~E(x28631,x28632)+~P18(x28631,x28633,x28634,x28635,x28636,x28637)
% 198.24/198.44 [2864]P18(x28643,x28642,x28644,x28645,x28646,x28647)+~E(x28641,x28642)+~P18(x28643,x28641,x28644,x28645,x28646,x28647)
% 198.24/198.44 [2865]P18(x28653,x28654,x28652,x28655,x28656,x28657)+~E(x28651,x28652)+~P18(x28653,x28654,x28651,x28655,x28656,x28657)
% 198.24/198.44 [2866]P18(x28663,x28664,x28665,x28662,x28666,x28667)+~E(x28661,x28662)+~P18(x28663,x28664,x28665,x28661,x28666,x28667)
% 198.24/198.44 [2867]P18(x28673,x28674,x28675,x28676,x28672,x28677)+~E(x28671,x28672)+~P18(x28673,x28674,x28675,x28676,x28671,x28677)
% 198.24/198.44 [2868]P18(x28683,x28684,x28685,x28686,x28687,x28682)+~E(x28681,x28682)+~P18(x28683,x28684,x28685,x28686,x28687,x28681)
% 198.24/198.44 [2869]P9(x28692,x28693,x28694,x28695)+~E(x28691,x28692)+~P9(x28691,x28693,x28694,x28695)
% 198.24/198.44 [2870]P9(x28703,x28702,x28704,x28705)+~E(x28701,x28702)+~P9(x28703,x28701,x28704,x28705)
% 198.24/198.44 [2871]P9(x28713,x28714,x28712,x28715)+~E(x28711,x28712)+~P9(x28713,x28714,x28711,x28715)
% 198.24/198.44 [2872]P9(x28723,x28724,x28725,x28722)+~E(x28721,x28722)+~P9(x28723,x28724,x28725,x28721)
% 198.24/198.44 [2873]~P123(x28731)+P123(x28732)+~E(x28731,x28732)
% 198.24/198.44 [2874]~P46(x28741)+P46(x28742)+~E(x28741,x28742)
% 198.24/198.44 [2875]~P129(x28751)+P129(x28752)+~E(x28751,x28752)
% 198.24/198.44 [2876]~P132(x28761)+P132(x28762)+~E(x28761,x28762)
% 198.24/198.44 [2877]~P103(x28771)+P103(x28772)+~E(x28771,x28772)
% 198.24/198.44 [2878]~P143(x28781)+P143(x28782)+~E(x28781,x28782)
% 198.24/198.44 [2879]~P127(x28791)+P127(x28792)+~E(x28791,x28792)
% 198.24/198.44 [2880]P42(x28802,x28803,x28804,x28805)+~E(x28801,x28802)+~P42(x28801,x28803,x28804,x28805)
% 198.24/198.44 [2881]P42(x28813,x28812,x28814,x28815)+~E(x28811,x28812)+~P42(x28813,x28811,x28814,x28815)
% 198.24/198.44 [2882]P42(x28823,x28824,x28822,x28825)+~E(x28821,x28822)+~P42(x28823,x28824,x28821,x28825)
% 198.24/198.44 [2883]P42(x28833,x28834,x28835,x28832)+~E(x28831,x28832)+~P42(x28833,x28834,x28835,x28831)
% 198.24/198.44 [2884]~P89(x28841)+P89(x28842)+~E(x28841,x28842)
% 198.24/198.44 [2885]P5(x28852,x28853)+~E(x28851,x28852)+~P5(x28851,x28853)
% 198.24/198.44 [2886]P5(x28863,x28862)+~E(x28861,x28862)+~P5(x28863,x28861)
% 198.24/198.44 [2887]~P126(x28871)+P126(x28872)+~E(x28871,x28872)
% 198.24/198.44 [2888]~P104(x28881)+P104(x28882)+~E(x28881,x28882)
% 198.24/198.44 [2889]P49(x28892,x28893,x28894)+~E(x28891,x28892)+~P49(x28891,x28893,x28894)
% 198.24/198.44 [2890]P49(x28903,x28902,x28904)+~E(x28901,x28902)+~P49(x28903,x28901,x28904)
% 198.24/198.44 [2891]P49(x28913,x28914,x28912)+~E(x28911,x28912)+~P49(x28913,x28914,x28911)
% 198.24/198.44 [2892]~P90(x28921)+P90(x28922)+~E(x28921,x28922)
% 198.24/198.44 [2893]~P102(x28931)+P102(x28932)+~E(x28931,x28932)
% 198.24/198.44 [2894]~P134(x28941)+P134(x28942)+~E(x28941,x28942)
% 198.24/198.44 [2895]P47(x28952,x28953)+~E(x28951,x28952)+~P47(x28951,x28953)
% 198.24/198.44 [2896]P47(x28963,x28962)+~E(x28961,x28962)+~P47(x28963,x28961)
% 198.24/198.44 [2897]~P120(x28971)+P120(x28972)+~E(x28971,x28972)
% 198.24/198.44 [2898]~P38(x28981)+P38(x28982)+~E(x28981,x28982)
% 198.24/198.44 [2899]~P115(x28991)+P115(x28992)+~E(x28991,x28992)
% 198.24/198.44 [2900]P48(x29002,x29003,x29004)+~E(x29001,x29002)+~P48(x29001,x29003,x29004)
% 198.24/198.44 [2901]P48(x29013,x29012,x29014)+~E(x29011,x29012)+~P48(x29013,x29011,x29014)
% 198.24/198.44 [2902]P48(x29023,x29024,x29022)+~E(x29021,x29022)+~P48(x29023,x29024,x29021)
% 198.24/198.44 [2903]P3(x29032,x29033,x29034)+~E(x29031,x29032)+~P3(x29031,x29033,x29034)
% 198.24/198.44 [2904]P3(x29043,x29042,x29044)+~E(x29041,x29042)+~P3(x29043,x29041,x29044)
% 198.24/198.44 [2905]P3(x29053,x29054,x29052)+~E(x29051,x29052)+~P3(x29053,x29054,x29051)
% 198.24/198.44
% 198.24/198.44 %-------------------------------------------
% 198.24/198.47 cnf(10231,plain,
% 198.24/198.47 (~E(f337(a115,x102311),x102311)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10234,plain,
% 198.24/198.47 (E(f337(f268(x102341,x102341),f269(x102341,x102342)),x102342)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(10240,plain,
% 198.24/198.47 (~E(f337(f171(x102401),f337(a115,f337(f171(x102401),x102402))),x102402)),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,3107,3283,3158,4592,4636,4662,4711,4713,4744,4761])).
% 198.24/198.47 cnf(10241,plain,
% 198.24/198.47 (~E(f337(a115,x102411),x102411)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10254,plain,
% 198.24/198.47 (~E(f337(a115,x102541),x102541)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10259,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x102591),f116(x102591)),x102592))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10262,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x102621),f116(x102621)),x102622))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10265,plain,
% 198.24/198.47 (~E(f337(a115,x102651),x102651)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10268,plain,
% 198.24/198.47 (~E(f337(a115,x102681),x102681)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10271,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x102711),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(10274,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x102741),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(10287,plain,
% 198.24/198.47 (~P24(f337(f197(f893(x102871,a878)),x102872))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,3107,3283,3150,3215,3158,3309,4589,10271,4586,4542,4594,10259,4592,3300,4576,4615,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089])).
% 198.24/198.47 cnf(10291,plain,
% 198.24/198.47 (~P24(f337(f337(f251(a884),f337(a115,x102911)),x102911))),
% 198.24/198.47 inference(rename_variables,[],[4595])).
% 198.24/198.47 cnf(10294,plain,
% 198.24/198.47 (~E(f337(f337(f153(x102941),x102942),x102943),x102943)),
% 198.24/198.47 inference(rename_variables,[],[4547])).
% 198.24/198.47 cnf(10300,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x103001),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(10303,plain,
% 198.24/198.47 (E(f337(f268(x103031,x103031),f269(x103031,x103032)),x103032)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(10306,plain,
% 198.24/198.47 (E(f337(f268(x103061,x103061),f269(x103061,x103062)),x103062)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(10313,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x103131),x103132)),x103132))),
% 198.24/198.47 inference(rename_variables,[],[4613])).
% 198.24/198.47 cnf(10316,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x103161),x103162)),x103162))),
% 198.24/198.47 inference(rename_variables,[],[4613])).
% 198.24/198.47 cnf(10323,plain,
% 198.24/198.47 (~E(x103231,f337(a115,x103231))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,3107,3283,10234,10303,3150,3215,3181,3158,4547,3394,3309,4589,10271,10274,4586,4542,4594,10259,4595,4170,4592,3300,4576,4615,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231])).
% 198.24/198.47 cnf(10327,plain,
% 198.24/198.47 (~P24(f337(f147(x103271,x103272),f337(f337(f272(f885(x103271),f885(x103271)),x103273),f116(x103271))))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,3107,3283,10234,10303,3150,3215,3181,3158,4547,4620,3394,3309,4589,10271,10274,3926,4586,4542,4594,10259,4595,4170,4592,3300,4576,4615,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240])).
% 198.24/198.47 cnf(10337,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x103371),x103371))),
% 198.24/198.47 inference(rename_variables,[],[4585])).
% 198.24/198.47 cnf(10340,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),f45(a884,x103401,x103402)),x103401))),
% 198.24/198.47 inference(rename_variables,[],[3791])).
% 198.24/198.47 cnf(10363,plain,
% 198.24/198.47 (E(f337(f38(a884),f337(f258(a884),x103631)),x103631)),
% 198.24/198.47 inference(rename_variables,[],[3212])).
% 198.24/198.47 cnf(10371,plain,
% 198.24/198.47 (~E(f337(a115,x103711),x103711)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10374,plain,
% 198.24/198.47 (~E(f337(a115,x103741),x103741)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10377,plain,
% 198.24/198.47 (~E(f337(a115,x103771),x103771)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10379,plain,
% 198.24/198.47 (P24(f337(a202,a100))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,3107,3283,10234,10303,3150,3215,3181,3158,3252,4547,3212,4620,3234,3394,3309,4589,10271,10274,3926,3328,4586,4542,4594,10259,4585,10337,3420,3856,3791,4595,10291,4170,4592,4575,3300,4576,4580,4615,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377])).
% 198.24/198.47 cnf(10382,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x103821),f337(a115,x103821)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(10384,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x103841),f337(a115,x103841)))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,3107,3283,10234,10303,3150,3215,3181,3158,3252,4547,3212,4620,3234,3394,3309,4589,10271,10274,3926,3328,4586,4542,4594,10259,4585,10337,3420,3856,3791,4595,10291,4170,4592,4575,3300,4576,4580,4615,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388])).
% 198.24/198.47 cnf(10391,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x103911),x103911))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10398,plain,
% 198.24/198.47 (E(f337(f268(x103981,x103981),f269(x103981,x103982)),x103982)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(10401,plain,
% 198.24/198.47 (E(f337(f268(x104011,x104011),f269(x104011,x104012)),x104012)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(10420,plain,
% 198.24/198.47 (P24(f337(f337(f251(a1),x104201),x104201))),
% 198.24/198.47 inference(rename_variables,[],[3326])).
% 198.24/198.47 cnf(10428,plain,
% 198.24/198.47 (P24(f337(f337(f251(a1),f2(a1)),f351(f337(f175(x104281),f116(x104281)))))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3252,4547,3212,4126,4620,3234,3394,10382,3309,4589,10271,10274,3773,3926,3355,3328,4586,4542,4594,10259,10262,4076,3325,3326,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,4576,4580,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479])).
% 198.24/198.47 cnf(10429,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x104291),f116(x104291)),x104292))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10433,plain,
% 198.24/198.47 (~E(f337(f337(f16(f887(x104331),x104332),f210(x104331)),x104333),f337(f209(x104331),x104334))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3252,4608,4547,3212,4126,4620,3234,3394,10382,3309,4589,10271,10274,3773,3926,3355,3328,4586,4542,4594,10259,10262,4076,3325,3326,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,4576,4580,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510])).
% 198.24/198.47 cnf(10434,plain,
% 198.24/198.47 (~E(f337(f337(f337(f73(x104341,f887(x104342)),x104343),x104344),f337(f209(x104342),x104345)),f337(f16(f887(x104342),x104341),f210(x104342)))),
% 198.24/198.47 inference(rename_variables,[],[4608])).
% 198.24/198.47 cnf(10438,plain,
% 198.24/198.47 (E(f337(f337(f81(a884),x104381),f723(x104381,x104381)),x104381)),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3252,4608,4547,3212,4126,4620,3234,3394,10382,3309,4589,10271,10274,3773,3926,3355,3328,4586,4542,4594,10259,10262,4076,3325,10391,3326,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,4576,4580,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521])).
% 198.24/198.47 cnf(10461,plain,
% 198.24/198.47 (~E(f337(f337(f153(x104611),x104612),x104613),x104613)),
% 198.24/198.47 inference(rename_variables,[],[4547])).
% 198.24/198.47 cnf(10464,plain,
% 198.24/198.47 (~E(f337(a28,x104641),f33(x104642,x104643))),
% 198.24/198.47 inference(rename_variables,[],[4537])).
% 198.24/198.47 cnf(10475,plain,
% 198.24/198.47 (P24(f337(f337(f251(a1),x104751),x104751))),
% 198.24/198.47 inference(rename_variables,[],[3326])).
% 198.24/198.47 cnf(10480,plain,
% 198.24/198.47 (~E(f337(a115,x104801),x104801)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10487,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x104871),x104871))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10491,plain,
% 198.24/198.47 (~E(f337(f171(x104911),f337(f337(f153(x104911),x104912),x104913)),f116(x104911))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,4537,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3252,4608,4547,10294,3212,4126,4620,3234,3696,3394,10382,3309,4589,10271,10274,10300,3773,3926,3353,3355,3328,4586,4542,4594,10259,10262,4076,3325,10391,3326,10420,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,3304,4576,4580,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715])).
% 198.24/198.47 cnf(10500,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x105001),f337(a115,x105001)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(10521,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x105211),f116(x105211)),x105212))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10531,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x105311),f337(a115,f337(a115,x105311))))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,4537,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,4126,4620,3234,3696,3394,10382,10500,3309,4589,10271,10274,10300,3773,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,4076,3325,10391,10487,3326,10420,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,3304,4577,4576,4580,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814])).
% 198.24/198.47 cnf(10540,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x105401),f116(x105401)),x105402))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10546,plain,
% 198.24/198.47 (E(f69(x105461,x105462,f337(f175(x105463),f116(x105463))),x105462)),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,4537,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,4126,4620,3234,3696,3394,10382,10500,3309,4589,10271,10274,10300,4603,3773,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,4076,3325,10391,10487,3326,10420,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,3304,4577,4576,4580,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864])).
% 198.24/198.47 cnf(10547,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x105471),f116(x105471)),x105472))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10558,plain,
% 198.24/198.47 (~E(f337(a28,x105581),f33(x105582,x105583))),
% 198.24/198.47 inference(rename_variables,[],[4537])).
% 198.24/198.47 cnf(10564,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),f2(a884)),f337(a107,f79(a1))))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,4537,10464,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,4126,4620,3234,3696,3394,10382,10500,3309,4589,10271,10274,10300,4603,3773,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,4076,3325,10391,10487,3326,10420,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,3304,4577,4576,4580,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945])).
% 198.24/198.47 cnf(10567,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x105671),f116(x105671)),x105672))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10572,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x105721),f337(a115,x105721)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(10575,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x105751),f116(x105751)),x105752))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10578,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x105781),f116(x105781)),x105782))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10581,plain,
% 198.24/198.47 (~P24(f337(f63(x105811,x105812,f197(f893(x105811,a878))),x105813))),
% 198.24/198.47 inference(rename_variables,[],[4611])).
% 198.24/198.47 cnf(10586,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x105861),f116(x105861)),x105862))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10596,plain,
% 198.24/198.47 (~E(f337(f171(x105961),f337(a115,f337(f337(f136(x105961),f337(f171(x105961),x105962)),f337(f337(f153(x105961),x105963),f116(x105961))))),f337(f337(f153(x105961),x105963),x105962))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,4126,4620,3234,3696,3394,10382,10500,10572,3309,4589,10271,10274,10300,4603,3773,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,4076,3325,10391,10487,3326,10420,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,3304,4577,4576,4580,4611,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060])).
% 198.24/198.47 cnf(10597,plain,
% 198.24/198.47 (~E(f337(a115,x105971),x105971)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10615,plain,
% 198.24/198.47 (P24(f337(f337(f252(a102),f337(a3,x106151)),f337(a3,f337(a115,x106151))))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,4126,4620,3234,3696,3394,10382,10500,10572,3786,3309,4589,10271,10274,10300,4603,3773,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,4076,3325,10391,10487,3326,10420,3327,4585,10337,3420,3856,3791,10340,4595,10291,4170,4592,4575,3300,3304,4577,4576,4580,4611,4615,3815,4613,10313,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143])).
% 198.24/198.47 cnf(10622,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x106221),x106221))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10625,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x106251),f337(f337(f82(a884),x106251),x106251)))),
% 198.24/198.47 inference(rename_variables,[],[3596])).
% 198.24/198.47 cnf(10628,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x106281),f337(f337(f82(a884),x106281),x106281)))),
% 198.24/198.47 inference(rename_variables,[],[3596])).
% 198.24/198.47 cnf(10631,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x106311),f337(a115,f337(f337(f81(a884),x106312),x106311))))),
% 198.24/198.47 inference(rename_variables,[],[3784])).
% 198.24/198.47 cnf(10636,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x106361),f337(a115,x106361)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(10639,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x106391),f337(a115,x106391)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(10642,plain,
% 198.24/198.47 (P24(f337(f337(f339(x106421),x106422),f260(f893(x106421,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3484])).
% 198.24/198.47 cnf(10661,plain,
% 198.24/198.47 (~P24(f337(f337(f251(a884),f337(a115,x106611)),x106611))),
% 198.24/198.47 inference(rename_variables,[],[4595])).
% 198.24/198.47 cnf(10664,plain,
% 198.24/198.47 (~P24(f337(f337(f251(a884),f337(a115,x106641)),x106641))),
% 198.24/198.47 inference(rename_variables,[],[4595])).
% 198.24/198.47 cnf(10667,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x106671),x106672)),x106672))),
% 198.24/198.47 inference(rename_variables,[],[4613])).
% 198.24/198.47 cnf(10670,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x106701),x106702)),x106702))),
% 198.24/198.47 inference(rename_variables,[],[4613])).
% 198.24/198.47 cnf(10673,plain,
% 198.24/198.47 (P24(f337(f260(f893(x106731,a878)),x106732))),
% 198.24/198.47 inference(rename_variables,[],[3387])).
% 198.24/198.47 cnf(10676,plain,
% 198.24/198.47 (E(f337(f38(a884),f337(f258(a884),x106761)),x106761)),
% 198.24/198.47 inference(rename_variables,[],[3212])).
% 198.24/198.47 cnf(10679,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x106791),f337(a115,x106791)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(10686,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x106861),x106861))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10691,plain,
% 198.24/198.47 (P24(f337(f337(f251(a1),x106911),x106911))),
% 198.24/198.47 inference(rename_variables,[],[3326])).
% 198.24/198.47 cnf(10700,plain,
% 198.24/198.47 (E(f337(f268(x107001,x107001),f269(x107001,x107002)),x107002)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(10703,plain,
% 198.24/198.47 (P24(f337(f260(f893(x107031,a878)),x107032))),
% 198.24/198.47 inference(rename_variables,[],[3387])).
% 198.24/198.47 cnf(10706,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),f2(a884)),x107061))),
% 198.24/198.47 inference(rename_variables,[],[3347])).
% 198.24/198.47 cnf(10709,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x107091,a878)),f197(f893(x107091,a878))),x107092))),
% 198.24/198.47 inference(rename_variables,[],[3782])).
% 198.24/198.47 cnf(10712,plain,
% 198.24/198.47 (P24(f337(f260(f893(x107121,a878)),x107122))),
% 198.24/198.47 inference(rename_variables,[],[3387])).
% 198.24/198.47 cnf(10714,plain,
% 198.24/198.47 (~P24(f337(f337(f251(a884),f337(f337(f82(a884),f337(a115,x107141)),f337(a115,x107141))),x107141))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,10363,4126,4620,3234,3696,3635,3394,10382,10500,10572,10636,10639,3786,3309,4589,10271,10274,10300,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,4076,3325,10391,10487,10622,3326,10420,10475,3327,4585,10337,3484,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,3347,4170,4592,4575,3300,3304,4577,4597,4576,4580,4611,3782,3596,10625,10628,4615,3815,4613,10313,10316,10667,3784,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379])).
% 198.24/198.47 cnf(10715,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x107151),f337(f337(f82(a884),x107151),x107151)))),
% 198.24/198.47 inference(rename_variables,[],[3596])).
% 198.24/198.47 cnf(10719,plain,
% 198.24/198.47 (E(f337(f171(x107191),f176(x107192,f337(f337(f136(x107191),f337(f171(x107191),x107193)),f337(f337(f153(x107191),x107194),f116(x107191))),f116(x107192))),f337(f337(f153(x107191),x107194),x107193))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,10363,4126,4620,3234,3696,3635,3394,10382,10500,10572,10636,10639,3786,3309,4589,10271,10274,10300,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,4076,3325,10391,10487,10622,3326,10420,10475,3327,4585,10337,3484,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,3347,4170,4592,4575,3300,3304,4577,4597,4576,4580,4611,3782,3596,10625,10628,4615,3815,4613,10313,10316,10667,3784,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418])).
% 198.24/198.47 cnf(10732,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a102),f337(a3,x107321)),f337(a3,f2(a884))))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,10363,4126,4620,3234,3696,3635,3394,10382,10500,10572,10636,10639,10679,3786,3309,4589,10271,10274,10300,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,4076,3325,10391,10487,10622,3326,10420,10475,3327,4585,10337,3484,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,4170,4592,4575,3300,3304,4577,4597,4576,4580,4611,3782,3596,10625,10628,4615,3815,4613,10313,10316,10667,3784,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427])).
% 198.24/198.47 cnf(10755,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x107551),x107551))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10766,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x107661),f116(x107661)),x107662))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(10773,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x107731),f337(a115,x107731)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(10775,plain,
% 198.24/198.47 (P24(f337(f337(f252(a1),f337(f337(f22(a1),x107751),f79(a1))),x107751))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3696,3635,3394,10382,10500,10572,10636,10639,10679,3786,3309,4589,10271,10274,10300,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4076,3325,10391,10487,10622,10686,10755,3326,10420,10475,10691,3327,4585,10337,3484,4599,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,4170,4592,4575,4578,3300,3304,4577,4597,4576,4580,4611,3782,3596,10625,10628,4615,3815,4613,10313,10316,10667,3784,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685])).
% 198.24/198.47 cnf(10776,plain,
% 198.24/198.47 (P24(f337(f337(f251(a1),x107761),x107761))),
% 198.24/198.47 inference(rename_variables,[],[3326])).
% 198.24/198.47 cnf(10781,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x107811),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(10794,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x107941),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(10797,plain,
% 198.24/198.47 (~P24(f337(f337(f252(f893(x107971,a878)),x107972),f197(f893(x107971,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4609])).
% 198.24/198.47 cnf(10800,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x108001),x108001))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10803,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x108031),x108031))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10817,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x108171),f337(f337(f22(a884),x108171),x108172)))),
% 198.24/198.47 inference(scs_inference,[],[4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3696,3635,3394,10382,10500,10572,10636,10639,10679,3786,3309,4589,10271,10274,10300,10781,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,3326,10420,10475,10691,3327,4585,10337,3484,4599,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,4170,4592,4575,4578,3300,3304,4577,4597,4576,4580,4611,3782,3596,10625,10628,4615,3815,4613,10313,10316,10667,3784,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847])).
% 198.24/198.47 cnf(10818,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x108181),x108181))),
% 198.24/198.47 inference(rename_variables,[],[4585])).
% 198.24/198.47 cnf(10827,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x108271),x108272),f197(f893(x108271,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(10836,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x108361),x108361))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10839,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x108391),x108392),f197(f893(x108391,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(10842,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x108421,a878)),f337(f316(x108422,x108421,x108423),f337(f317(x108422,x108421,x108423),x108424))),x108424))),
% 198.24/198.47 inference(rename_variables,[],[4232])).
% 198.24/198.47 cnf(10851,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x108511,a878)),f337(f175(x108511),f337(f138(x108511,x108512),x108513))),f337(f175(x108511),x108513)))),
% 198.24/198.47 inference(rename_variables,[],[3989])).
% 198.24/198.47 cnf(10854,plain,
% 198.24/198.47 (E(f337(f316(x108541,x108541,f5(x108541)),x108542),x108542)),
% 198.24/198.47 inference(rename_variables,[],[3383])).
% 198.24/198.47 cnf(10861,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),f2(a884)),x108611))),
% 198.24/198.47 inference(rename_variables,[],[3347])).
% 198.24/198.47 cnf(10864,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x108641),x108641))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10867,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x108671),x108671))),
% 198.24/198.47 inference(rename_variables,[],[4585])).
% 198.24/198.47 cnf(10870,plain,
% 198.24/198.47 (~P24(f337(f63(x108701,x108702,f197(f893(x108701,a878))),x108703))),
% 198.24/198.47 inference(rename_variables,[],[4611])).
% 198.24/198.47 cnf(10874,plain,
% 198.24/198.47 (E(f337(f337(f136(a884),f141(a884,f337(f307(a884,x108741),x108741))),f337(f337(f153(a884),x108741),f116(a884))),f141(a884,f337(f307(a884,x108741),f337(a115,x108741))))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,3326,10420,10475,10691,3327,4585,10337,10818,3484,4599,10827,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,4170,4592,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3782,3596,10625,10628,4615,4232,3815,4613,10313,10316,10667,3784,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246])).
% 198.24/198.47 cnf(10877,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x108771),x108771))),
% 198.24/198.47 inference(rename_variables,[],[4585])).
% 198.24/198.47 cnf(10888,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x108881),f337(f337(f82(a884),x108881),x108881)))),
% 198.24/198.47 inference(rename_variables,[],[3596])).
% 198.24/198.47 cnf(10894,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x108941),f337(a115,f337(f337(f81(a884),x108942),x108941))))),
% 198.24/198.47 inference(rename_variables,[],[3784])).
% 198.24/198.47 cnf(10900,plain,
% 198.24/198.47 (~E(x109001,f337(f337(f153(x109002),x109003),x109001))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,3326,10420,10475,10691,3327,4585,10337,10818,10867,3484,4599,10827,10839,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,4170,4592,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423])).
% 198.24/198.47 cnf(10901,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x109011),x109011))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10903,plain,
% 198.24/198.47 (P24(f337(f337(f252(a1),x109031),f337(f337(f81(a1),x109031),f79(a1))))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,4599,10827,10839,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,4170,4592,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473])).
% 198.24/198.47 cnf(10904,plain,
% 198.24/198.47 (P24(f337(f337(f251(a1),x109041),x109041))),
% 198.24/198.47 inference(rename_variables,[],[3326])).
% 198.24/198.47 cnf(10906,plain,
% 198.24/198.47 (~E(f337(f74(x109061,x109062,x109063,a115),x109064),x109064)),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,4599,10827,10839,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,4170,4592,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483])).
% 198.24/198.47 cnf(10907,plain,
% 198.24/198.47 (~E(f337(a115,x109071),x109071)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(10912,plain,
% 198.24/198.47 (P24(f337(f337(f339(x109121),x109122),f260(f893(x109121,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3484])).
% 198.24/198.47 cnf(10917,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x109171),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(10932,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),f2(a884)),x109321))),
% 198.24/198.47 inference(rename_variables,[],[3347])).
% 198.24/198.47 cnf(10939,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x109391),x109391))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10948,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x109481),x109482),f197(f893(x109481,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(10952,plain,
% 198.24/198.47 (E(f337(f337(f104(f893(x109521,a878)),f337(f337(f104(f893(x109521,a878)),x109522),f337(f80(f893(x109521,a878)),x109523))),x109523),f197(f893(x109521,a878)))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,10851,3697,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,4599,10827,10839,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836])).
% 198.24/198.47 cnf(10955,plain,
% 198.24/198.47 (P24(f337(f337(f339(f885(x109551)),x109552),f163(x109551,f260(f893(x109551,a878)))))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,10851,3697,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,4599,10827,10839,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845])).
% 198.24/198.47 cnf(10956,plain,
% 198.24/198.47 (P24(f337(f337(f339(x109561),x109562),f260(f893(x109561,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3484])).
% 198.24/198.47 cnf(10959,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x109591),f885(x109591))),f337(f337(f272(f885(x109591),f885(x109591)),x109592),f116(x109591))),f147(x109591,x109593)))),
% 198.24/198.47 inference(rename_variables,[],[4620])).
% 198.24/198.47 cnf(10965,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(x109651,x109651)),x109652),f269(x109651,f197(f893(x109651,a878)))))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,4537,10464,3107,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,10851,3697,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,4599,10827,10839,10948,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974])).
% 198.24/198.47 cnf(10966,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x109661),x109662),f197(f893(x109661,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(10969,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x109691),x109692),f197(f893(x109691,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(10972,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x109721,a878)),x109722),f337(f337(f315(x109721),x109723),x109722)))),
% 198.24/198.47 inference(rename_variables,[],[3780])).
% 198.24/198.47 cnf(10975,plain,
% 198.24/198.47 (P24(f337(f337(f251(a884),x109751),x109751))),
% 198.24/198.47 inference(rename_variables,[],[3325])).
% 198.24/198.47 cnf(10978,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x109781,a878)),x109782),f337(f337(f315(x109781),x109783),x109782)))),
% 198.24/198.47 inference(rename_variables,[],[3780])).
% 198.24/198.47 cnf(10980,plain,
% 198.24/198.47 (P36(x109801,x109802,x109803,f117(x109801,f116(x109801)),f116(x109802))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,4537,10464,3107,3160,3283,10234,10303,10306,10398,10401,3259,3150,3215,3181,3158,3806,3383,3252,4608,4547,10294,3212,10363,4126,3978,4620,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,4087,3989,10851,3697,4076,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,4599,10827,10839,10948,10966,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3780,10972,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113])).
% 198.24/198.47 cnf(10993,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x109931,a878)),x109932),f337(f337(f315(x109931),x109933),x109932)))),
% 198.24/198.47 inference(rename_variables,[],[3780])).
% 198.24/198.47 cnf(10998,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x109981),f116(x109981)),x109982))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(11011,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),x110111),f337(a115,x110111)))),
% 198.24/198.47 inference(rename_variables,[],[3394])).
% 198.24/198.47 cnf(11021,plain,
% 198.24/198.47 (~E(f337(f316(x110211,f893(x110211,a878),x110212),x110213),f337(f314(x110211),x110213))),
% 198.24/198.47 inference(rename_variables,[],[4596])).
% 198.24/198.47 cnf(11024,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x110241),x110242),f197(f893(x110241,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11027,plain,
% 198.24/198.47 (P24(f337(f337(f339(f892(x110271,x110271)),f337(f337(f272(x110271,x110271),x110272),x110272)),f313(x110271,x110273)))),
% 198.24/198.47 inference(rename_variables,[],[3978])).
% 198.24/198.47 cnf(11030,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x110301,a878)),f337(f175(x110301),f173(x110301,x110302,x110303))),f337(f175(x110301),x110303)))),
% 198.24/198.47 inference(rename_variables,[],[4040])).
% 198.24/198.47 cnf(11033,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x110331,a878)),x110332),f260(f893(x110331,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3715])).
% 198.24/198.47 cnf(11035,plain,
% 198.24/198.47 (P24(f337(f62(x110351),f337(f337(f74(x110352,x110353,x110354,f316(a884,x110351,x110355)),f257(a884)),f337(f337(f7(a884,a884,a878),f252(a884)),x110356))))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,4537,10464,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,4608,3976,4547,10294,4596,3212,10363,4126,3978,4620,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569])).
% 198.24/198.47 cnf(11049,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x110491,a878)),f197(f893(x110491,a878))),x110492))),
% 198.24/198.47 inference(rename_variables,[],[3782])).
% 198.24/198.47 cnf(11057,plain,
% 198.24/198.47 (~P24(f337(f337(f68(f885(x110571),f885(x110571),f147(x110571,x110572)),x110573),f116(x110571)))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,4537,10464,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,4608,3976,4547,10294,4596,3212,10363,4126,3978,11027,4620,10959,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607])).
% 198.24/198.47 cnf(11060,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x110601),f885(x110601))),f337(f337(f272(f885(x110601),f885(x110601)),x110602),f116(x110601))),f149(x110601,x110603)))),
% 198.24/198.47 inference(rename_variables,[],[4621])).
% 198.24/198.47 cnf(11071,plain,
% 198.24/198.47 (~E(f337(a115,x110711),x110711)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11074,plain,
% 198.24/198.47 (~E(f337(a115,x110741),x110741)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11083,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x110831,a878)),f337(f337(f43(f892(x110832,x110832),f893(x110831,a878)),f313(x110832,x110833)),x110834)),f337(x110834,f337(f337(f272(x110832,x110832),x110835),x110835))))),
% 198.24/198.47 inference(scs_inference,[],[4627,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,4608,3976,4547,10294,4596,3212,10363,4126,3978,11027,4620,10959,4621,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683])).
% 198.24/198.47 cnf(11086,plain,
% 198.24/198.47 (P21(x110861,x110861,f5(x110861),x110862)),
% 198.24/198.47 inference(rename_variables,[],[3570])).
% 198.24/198.47 cnf(11091,plain,
% 198.24/198.47 (~E(f337(f316(x110911,f893(x110911,a878),x110912),x110913),f337(f314(x110911),x110913))),
% 198.24/198.47 inference(rename_variables,[],[4596])).
% 198.24/198.47 cnf(11096,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x110961,a878)),x110962),f260(f893(x110961,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3715])).
% 198.24/198.47 cnf(11110,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x111101),x111102),f197(f893(x111101,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11113,plain,
% 198.24/198.47 (~P24(f337(f337(f251(a884),f337(a115,x111131)),x111131))),
% 198.24/198.47 inference(rename_variables,[],[4595])).
% 198.24/198.47 cnf(11118,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x111181),x111182),f197(f893(x111181,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11130,plain,
% 198.24/198.47 (~P24(f337(f337(f339(a884),f337(a115,f337(f144(a884,a884,f81(a884),f2(a884)),x111301))),f337(f175(a884),x111301)))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,4620,10959,4621,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868])).
% 198.24/198.47 cnf(11131,plain,
% 198.24/198.47 (~P24(f337(f337(f251(a884),f337(a115,x111311)),x111311))),
% 198.24/198.47 inference(rename_variables,[],[4595])).
% 198.24/198.47 cnf(11134,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x111341),x111342),f197(f893(x111341,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11144,plain,
% 198.24/198.47 (E(f337(x111441,f664(f337(x111441,x111442),f337(f209(x111443),x111442),x111441,x111444,x111443)),f337(x111441,x111442))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,4620,10959,4621,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944])).
% 198.24/198.47 cnf(11153,plain,
% 198.24/198.47 (P24(f337(f337(f339(f892(x111531,x111531)),f337(f337(f272(x111531,x111531),x111532),x111532)),f313(x111531,x111533)))),
% 198.24/198.47 inference(rename_variables,[],[3978])).
% 198.24/198.47 cnf(11155,plain,
% 198.24/198.47 (P24(f337(f337(f339(f892(f885(x111551),f885(x111551))),f337(f337(f272(f885(x111551),f885(x111551)),f116(x111551)),f116(x111551))),f337(f292(f885(x111551),f885(x111551)),f160(x111551,x111552))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,4620,10959,4621,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034])).
% 198.24/198.47 cnf(11158,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x111581),f885(x111581))),f337(f337(f272(f885(x111581),f885(x111581)),x111582),f116(x111581))),f147(x111581,x111583)))),
% 198.24/198.47 inference(rename_variables,[],[4620])).
% 198.24/198.47 cnf(11161,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x111611),f885(x111611))),f337(f337(f272(f885(x111611),f885(x111611)),x111612),f116(x111611))),f149(x111611,x111613)))),
% 198.24/198.47 inference(rename_variables,[],[4621])).
% 198.24/198.47 cnf(11164,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x111641),f885(x111641))),f337(f337(f272(f885(x111641),f885(x111641)),x111642),f116(x111641))),f159(x111641,x111643)))),
% 198.24/198.47 inference(rename_variables,[],[4622])).
% 198.24/198.47 cnf(11166,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x111661),f885(x111661))),f337(f337(f272(f885(x111661),f885(x111661)),f116(x111661)),x111662)),f337(f292(f885(x111661),f885(x111661)),f147(x111661,x111663))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,4620,10959,11158,4621,11060,4622,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,4609,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081])).
% 198.24/198.47 cnf(11169,plain,
% 198.24/198.47 (~P24(f337(f337(f252(f893(x111691,a878)),x111692),f197(f893(x111691,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4609])).
% 198.24/198.47 cnf(11172,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x111721),x111722),f197(f893(x111721,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11176,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x111761,a878)),x111762),f337(f337(f113(f893(x111761,a878)),x111763),f260(f893(x111761,a878)))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,4620,10959,11158,4621,11060,4622,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133])).
% 198.24/198.47 cnf(11177,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x111771,a878)),x111772),f260(f893(x111771,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3715])).
% 198.24/198.47 cnf(11181,plain,
% 198.24/198.47 (~P54(f885(x111811),f160(x111811,x111812))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,4620,10959,11158,4621,11060,4622,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,3943,3780,10972,10978,3782,10709,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203])).
% 198.24/198.47 cnf(11186,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x111861),x111862),f197(f893(x111861,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11189,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(x111891,x111891)),f337(f337(f272(x111891,x111891),x111892),x111893)),f155(x111891,f116(f893(x111891,a884)))))),
% 198.24/198.47 inference(rename_variables,[],[4618])).
% 198.24/198.47 cnf(11194,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x111941),x111942),f197(f893(x111941,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11196,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x111961,a878)),f337(f291(x111962,x111961,f197(f893(f892(x111962,x111961),a878))),x111963)),x111964))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,4620,10959,11158,4621,11060,4622,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301])).
% 198.24/198.47 cnf(11197,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x111971,a878)),f197(f893(x111971,a878))),x111972))),
% 198.24/198.47 inference(rename_variables,[],[3782])).
% 198.24/198.47 cnf(11200,plain,
% 198.24/198.47 (P24(f337(f337(f339(f892(x112001,x112001)),f337(f337(f272(x112001,x112001),x112002),x112002)),f313(x112001,x112003)))),
% 198.24/198.47 inference(rename_variables,[],[3978])).
% 198.24/198.47 cnf(11202,plain,
% 198.24/198.47 (~P36(x112021,x112022,x112023,f337(f337(f156(x112024,x112021),x112025),f337(a115,f116(x112024))),f116(x112022))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307])).
% 198.24/198.47 cnf(11204,plain,
% 198.24/198.47 (~E(f337(f337(f104(f893(f892(f885(x112041),f885(x112041)),a878)),f337(f292(f885(x112041),f885(x112041)),f160(x112041,x112042))),f313(f885(x112041),f160(x112041,x112042))),f197(f893(f892(f885(x112041),f885(x112041)),a878)))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327])).
% 198.24/198.47 cnf(11206,plain,
% 198.24/198.47 (P36(x112061,x112062,x112063,f337(f337(f156(x112064,x112061),x112065),f117(x112064,f116(x112064))),f116(x112062))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328])).
% 198.24/198.47 cnf(11210,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x112101),f885(x112101))),f337(f337(f272(f885(x112101),f885(x112101)),x112102),f116(x112101))),f337(f292(f885(x112101),f885(x112101)),f159(x112101,x112103))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,11164,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417])).
% 198.24/198.47 cnf(11211,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x112111),f885(x112111))),f337(f337(f272(f885(x112111),f885(x112111)),x112112),f116(x112111))),f159(x112111,x112113)))),
% 198.24/198.47 inference(rename_variables,[],[4622])).
% 198.24/198.47 cnf(11213,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f885(x112131)),f116(x112131)),f337(f270(f885(x112131),f885(x112131)),f147(x112131,x112132))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,11164,4623,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454])).
% 198.24/198.47 cnf(11214,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x112141),f885(x112141))),f337(f337(f272(f885(x112141),f885(x112141)),f116(x112141)),x112142)),f147(x112141,x112143)))),
% 198.24/198.47 inference(rename_variables,[],[4623])).
% 198.24/198.47 cnf(11219,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f893(x112191,a878),f893(x112191,a878))),f337(f337(f272(f893(x112191,a878),f893(x112191,a878)),x112192),f197(f893(x112191,a878)))),f312(x112191)))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,11164,4623,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,3596,10625,10628,10715,10888,4615,4232,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456])).
% 198.24/198.47 cnf(11222,plain,
% 198.24/198.47 (P24(f337(f337(f339(x112221),x112222),f260(f893(x112221,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3484])).
% 198.24/198.47 cnf(11227,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x112271,a878)),f197(f893(x112271,a878))),x112272))),
% 198.24/198.47 inference(rename_variables,[],[3782])).
% 198.24/198.47 cnf(11230,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x112301),x112302),f197(f893(x112301,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11233,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x112331,a878)),x112332),f260(f893(x112331,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3715])).
% 198.24/198.47 cnf(11235,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(f892(x112351,x112351),a878)),f337(f337(f294(x112351,x112351,x112351),f269(x112351,x112352)),f313(x112351,f269(x112351,x112352)))),f337(f337(f274(x112351,x112351),x112352),f337(f16(f893(x112351,a878),x112351),x112352))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,11164,4623,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,11197,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537])).
% 198.24/198.47 cnf(11237,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x112371,a878)),f337(f291(x112372,x112371,x112373),f197(f893(x112372,a878)))),x112374))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,11164,4623,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560])).
% 198.24/198.47 cnf(11238,plain,
% 198.24/198.47 (P24(f337(f337(f251(f893(x112381,a878)),f197(f893(x112381,a878))),x112382))),
% 198.24/198.47 inference(rename_variables,[],[3782])).
% 198.24/198.47 cnf(11240,plain,
% 198.24/198.47 (~P24(f337(f67(a884,x112401,x112402,x112403,f260(f893(a884,a878))),x112404))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,4622,11164,4623,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,3387,10673,10703,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582])).
% 198.24/198.47 cnf(11251,plain,
% 198.24/198.47 (P24(f337(f260(f893(x112511,a878)),x112512))),
% 198.24/198.47 inference(rename_variables,[],[3387])).
% 198.24/198.47 cnf(11259,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x112591),f885(x112591))),f337(f337(f272(f885(x112591),f885(x112591)),x112592),f116(x112591))),f147(x112591,x112593)))),
% 198.24/198.47 inference(rename_variables,[],[4620])).
% 198.24/198.47 cnf(11262,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x112621),f885(x112621))),f337(f337(f272(f885(x112621),f885(x112621)),x112622),f116(x112621))),f149(x112621,x112623)))),
% 198.24/198.47 inference(rename_variables,[],[4621])).
% 198.24/198.47 cnf(11265,plain,
% 198.24/198.47 (~E(f337(f337(f153(x112651),x112652),x112653),x112653)),
% 198.24/198.47 inference(rename_variables,[],[4547])).
% 198.24/198.47 cnf(11268,plain,
% 198.24/198.47 (~E(f337(a115,x112681),x112681)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11271,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x112711),x112712),f197(f893(x112711,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11273,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x112731),x112732),f337(f291(x112733,x112731,x112734),f337(f291(x112735,x112733,x112736),f197(f893(x112735,a878))))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,4621,11060,11161,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699])).
% 198.24/198.47 cnf(11276,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x112761),x112762),f197(f893(x112761,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11279,plain,
% 198.24/198.47 (P24(f337(f337(f339(f892(f885(x112791),f885(x112791))),f337(f337(f272(f885(x112791),f885(x112791)),x112792),x112792)),f160(x112791,f313(x112791,x112793))))),
% 198.24/198.47 inference(rename_variables,[],[4120])).
% 198.24/198.47 cnf(11284,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x112841),f885(x112841))),f337(f337(f272(f885(x112841),f885(x112841)),x112842),f116(x112841))),f147(x112841,x112843)))),
% 198.24/198.47 inference(rename_variables,[],[4620])).
% 198.24/198.47 cnf(11286,plain,
% 198.24/198.47 (P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),f616(a327,f337(a115,x112861),x112861,a884)),f337(a115,x112861))),f313(a884,a327)))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,11259,4621,11060,11161,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752])).
% 198.24/198.47 cnf(11288,plain,
% 198.24/198.47 (E(f337(f337(f153(x112881),f678(f313(x112881,x112882),f337(f337(f153(x112881),x112883),x112884),x112884,x112883,x112881)),f679(f313(x112881,x112882),f337(f337(f153(x112881),x112883),x112884),x112884,x112883,x112881)),f337(f337(f153(x112881),x112883),x112884))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,11259,4621,11060,11161,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,11279,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753])).
% 198.24/198.47 cnf(11293,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x112931),x112932),f189(x112933,x112931,f191(x112933,x112931,x112934,f197(f893(x112933,a878))))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,11259,4621,11060,11161,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,11279,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776])).
% 198.24/198.47 cnf(11294,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x112941),x112942),f197(f893(x112941,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11297,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x112971),x112972),f197(f893(x112971,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11300,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x113001),x113002),f197(f893(x113001,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11303,plain,
% 198.24/198.47 (P24(f337(f337(f339(x113031),x113032),f260(f893(x113031,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3484])).
% 198.24/198.47 cnf(11306,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x113061),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(11310,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x113101),f885(x113101))),f337(f337(f272(f885(x113101),f885(x113101)),x113102),x113103)),f159(x113101,f155(x113101,f116(f893(x113101,a884))))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,11259,4621,11060,11161,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,11279,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,11189,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902])).
% 198.24/198.47 cnf(11311,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(x113111,x113111)),f337(f337(f272(x113111,x113111),x113112),x113113)),f155(x113111,f116(f893(x113111,a884)))))),
% 198.24/198.47 inference(rename_variables,[],[4618])).
% 198.24/198.47 cnf(11314,plain,
% 198.24/198.47 (~E(f337(f316(x113141,f893(x113141,a878),x113142),x113143),f337(f314(x113141),x113143))),
% 198.24/198.47 inference(rename_variables,[],[4596])).
% 198.24/198.47 cnf(11317,plain,
% 198.24/198.47 (~E(f337(f316(x113171,f893(x113171,a878),x113172),x113173),f337(f314(x113171),x113173))),
% 198.24/198.47 inference(rename_variables,[],[4596])).
% 198.24/198.47 cnf(11319,plain,
% 198.24/198.47 (E(f337(f337(f272(a884,a884),f661(f313(a884,a327),a327,a884,f337(f337(f272(a884,a884),x113191),f337(a115,x113191)),a884,a884)),f662(f313(a884,a327),a327,a884,f337(f337(f272(a884,a884),x113191),f337(a115,x113191)),a884,a884)),f337(f337(f272(a884,a884),x113191),f337(a115,x113191)))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,11259,4621,11060,11161,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,11279,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,11189,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946])).
% 198.24/198.47 cnf(11322,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x113221),f885(x113221))),f337(f337(f272(f885(x113221),f885(x113221)),x113222),f116(x113221))),f147(x113221,x113223)))),
% 198.24/198.47 inference(rename_variables,[],[4620])).
% 198.24/198.47 cnf(11328,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(f885(x113281),f885(x113281))),f337(f337(f272(f885(x113281),f885(x113281)),x113282),f116(x113281))),f147(x113281,x113283)))),
% 198.24/198.47 inference(rename_variables,[],[4620])).
% 198.24/198.47 cnf(11331,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x113311),x113312),f197(f893(x113311,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11333,plain,
% 198.24/198.47 (~E(f337(f246(f887(x113331),x113332,f210(x113331),f337(f16(f887(x113331),x113333),f210(x113331))),f337(x113334,x113335)),f337(f209(x113331),x113336))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,3431,3212,10363,4126,3978,11027,11153,4620,10959,11158,11259,11284,11322,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,11279,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,11189,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023])).
% 198.24/198.47 cnf(11337,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(x113371,x113372)),x113373),f337(f337(f294(x113371,x113374,x113372),f197(f893(f892(x113371,x113374),a878))),x113375)))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,3431,3212,10363,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,11279,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,11189,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147])).
% 198.24/198.47 cnf(11338,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x113381),x113382),f197(f893(x113381,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11341,plain,
% 198.24/198.47 (~P24(f337(f337(f339(x113411),x113412),f197(f893(x113411,a878))))),
% 198.24/198.47 inference(rename_variables,[],[4599])).
% 198.24/198.47 cnf(11344,plain,
% 198.24/198.47 (P24(f337(f337(f339(x113441),f337(x113442,x113443)),f337(f316(x113444,x113441,x113442),f260(f893(x113444,a878)))))),
% 198.24/198.47 inference(rename_variables,[],[3943])).
% 198.24/198.47 cnf(11346,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(x113461,x113462)),x113463),f337(f316(f892(x113464,x113464),f892(x113461,x113462),f277(x113464,x113461,x113464,x113462,x113465,x113466)),f155(x113464,f116(f893(x113464,a884))))))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,4537,10464,10558,3107,3160,3283,10234,10303,10306,10398,10401,3259,3794,3150,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,3431,3212,10363,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,4589,10271,10274,10300,10781,10794,10917,4603,3773,3540,3926,3353,3355,3328,4586,4542,4120,11279,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4611,10581,4618,11189,11311,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4232,4131,3815,4613,10313,10316,10667,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217])).
% 198.24/198.47 cnf(11347,plain,
% 198.24/198.47 (~P24(f337(f337(f339(f892(x113471,x113471)),f337(f337(f272(x113471,x113471),x113472),x113473)),f155(x113471,f116(f893(x113471,a884)))))),
% 198.24/198.47 inference(rename_variables,[],[4618])).
% 198.24/198.47 cnf(11355,plain,
% 198.24/198.47 (E(f117(x113551,f116(x113551)),f116(x113551))),
% 198.24/198.47 inference(rename_variables,[],[3160])).
% 198.24/198.47 cnf(11358,plain,
% 198.24/198.47 (~E(f337(a115,x113581),x113581)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11365,plain,
% 198.24/198.47 (~E(f337(a115,x113651),x113651)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11370,plain,
% 198.24/198.47 (E(f337(f268(x113701,x113701),f269(x113701,x113702)),x113702)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(11373,plain,
% 198.24/198.47 (E(f337(f268(x113731,x113731),f269(x113731,x113732)),x113732)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(11379,plain,
% 198.24/198.47 (~E(f337(a115,x113791),x113791)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11386,plain,
% 198.24/198.47 (~E(f337(f337(f81(a1),x113861),x113861),a100)),
% 198.24/198.47 inference(rename_variables,[],[4545])).
% 198.24/198.47 cnf(11395,plain,
% 198.24/198.47 (E(f337(f337(f22(a884),f2(a884)),x113951),f2(a884))),
% 198.24/198.47 inference(rename_variables,[],[3235])).
% 198.24/198.47 cnf(11398,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),x113981),f2(a884)))),
% 198.24/198.47 inference(rename_variables,[],[4589])).
% 198.24/198.47 cnf(11405,plain,
% 198.24/198.47 (E(f337(f337(f81(a1),f337(f337(f82(a1),x114051),f337(f337(f39(a1),x114052),x114051))),f45(a1,x114052,x114051)),x114052)),
% 198.24/198.47 inference(rename_variables,[],[3889])).
% 198.24/198.47 cnf(11431,plain,
% 198.24/198.47 (~E(f337(a115,x114311),x114311)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11434,plain,
% 198.24/198.47 (~E(f337(a115,x114341),x114341)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11460,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x114601),f116(x114601)),x114602))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(11466,plain,
% 198.24/198.47 (P24(f337(f337(f252(a884),f2(a884)),f337(a115,x114661)))),
% 198.24/198.47 inference(rename_variables,[],[3406])).
% 198.24/198.47 cnf(11467,plain,
% 198.24/198.47 (~E(f337(a115,x114671),x114671)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11470,plain,
% 198.24/198.47 (P24(f337(f337(f339(x114701),x114702),f260(f893(x114701,a878))))),
% 198.24/198.47 inference(rename_variables,[],[3484])).
% 198.24/198.47 cnf(11482,plain,
% 198.24/198.47 (~E(f337(a115,x114821),x114821)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11485,plain,
% 198.24/198.47 (P24(f337(f337(f251(a1),x114851),x114851))),
% 198.24/198.47 inference(rename_variables,[],[3326])).
% 198.24/198.47 cnf(11492,plain,
% 198.24/198.47 (P24(f337(f67(x114921,x114922,x114923,x114924,f197(f893(x114921,a878))),x114924))),
% 198.24/198.47 inference(rename_variables,[],[4272])).
% 198.24/198.47 cnf(11493,plain,
% 198.24/198.47 (E(f337(f268(x114931,x114931),f269(x114931,x114932)),x114932)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(11498,plain,
% 198.24/198.47 (~P24(f337(f337(f197(f893(x114981,f893(x114982,a878))),x114983),x114984))),
% 198.24/198.47 inference(rename_variables,[],[4616])).
% 198.24/198.47 cnf(11509,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x115091),x115092)),x115092))),
% 198.24/198.47 inference(rename_variables,[],[4613])).
% 198.24/198.47 cnf(11512,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a1),f337(f103(a1),x115121)),f2(a1)))),
% 198.24/198.47 inference(rename_variables,[],[4603])).
% 198.24/198.47 cnf(11522,plain,
% 198.24/198.47 (~E(x115221,f337(f337(f153(x115222),x115223),f337(f337(f136(x115222),f117(x115222,f116(x115222))),x115221)))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,4537,10464,10558,3239,2916,2920,2924,2925,2932,2943,2954,2960,2972,2984,2992,2993,2994,3010,3031,3067,3068,3072,3087,3094,3107,4518,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,3259,3794,3150,3889,11405,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,3406,4589,10271,10274,10300,10781,10794,10917,11306,11398,4603,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,10904,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,11303,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,11131,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4272,4611,10581,10870,4618,11189,11311,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4605,4616,4232,4131,3815,4613,10313,10316,10667,10670,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416])).
% 198.24/198.47 cnf(11524,plain,
% 198.24/198.47 (~E(f337(f337(f153(x115241),x115242),f337(f337(f136(x115241),f117(x115241,f116(x115241))),x115243)),x115243)),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,4537,10464,10558,3239,2916,2920,2924,2925,2932,2943,2954,2960,2972,2984,2992,2993,2994,3010,3031,3067,3068,3072,3087,3094,3107,4518,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,3259,3794,3150,3889,11405,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,3406,4589,10271,10274,10300,10781,10794,10917,11306,11398,4603,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,10904,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,11303,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,11131,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4272,4611,10581,10870,4618,11189,11311,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4605,4616,4232,4131,3815,4613,10313,10316,10667,10670,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417])).
% 198.24/198.47 cnf(11528,plain,
% 198.24/198.47 (~E(f337(f337(f104(a884),f337(a115,x115281)),x115281),f337(a115,x115281))),
% 198.24/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,4537,10464,10558,3239,2916,2920,2924,2925,2932,2936,2943,2952,2954,2960,2972,2984,2992,2993,2994,3010,3031,3067,3068,3072,3087,3094,3107,4518,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,3259,3794,3150,3889,11405,3215,3181,3158,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,3406,4589,10271,10274,10300,10781,10794,10917,11306,11398,4603,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,10904,3327,4585,10337,10818,10867,3484,10642,10912,10956,11222,11303,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,3387,10673,10703,10712,3420,3856,3791,10340,4595,10291,10661,10664,11113,11131,3347,10706,10861,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,4272,4611,10581,10870,4618,11189,11311,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4605,4616,4232,4131,3815,4613,10313,10316,10667,10670,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423])).
% 198.24/198.47 cnf(11535,plain,
% 198.24/198.47 (E(f337(f268(x115351,x115351),f269(x115351,x115352)),x115352)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(11540,plain,
% 198.24/198.47 (E(f337(f268(x115401,x115401),f269(x115401,x115402)),x115402)),
% 198.24/198.47 inference(rename_variables,[],[3283])).
% 198.24/198.47 cnf(11543,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a1),f337(f103(a1),x115431)),f2(a1)))),
% 198.24/198.47 inference(rename_variables,[],[4603])).
% 198.24/198.47 cnf(11548,plain,
% 198.24/198.47 (~E(f337(a115,x115481),x115481)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11557,plain,
% 198.24/198.47 (~P24(f337(f337(f175(x115571),f116(x115571)),x115572))),
% 198.24/198.47 inference(rename_variables,[],[4594])).
% 198.24/198.47 cnf(11578,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a1),f337(f103(a1),x115781)),f2(a1)))),
% 198.24/198.47 inference(rename_variables,[],[4603])).
% 198.24/198.47 cnf(11593,plain,
% 198.24/198.47 (~P24(f337(f337(f251(a884),f337(a115,x115931)),x115931))),
% 198.24/198.47 inference(rename_variables,[],[4595])).
% 198.24/198.47 cnf(11594,plain,
% 198.24/198.47 (~E(f337(a115,x115941),x115941)),
% 198.24/198.47 inference(rename_variables,[],[4522])).
% 198.24/198.47 cnf(11604,plain,
% 198.24/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x116041),x116042)),x116041))),
% 198.24/198.47 inference(rename_variables,[],[4614])).
% 198.24/198.47 cnf(11607,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a1),f337(f103(a1),x116071)),f2(a1)))),
% 198.33/198.47 inference(rename_variables,[],[4603])).
% 198.33/198.47 cnf(11610,plain,
% 198.33/198.47 (~E(f337(a115,x116101),x116101)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(11623,plain,
% 198.33/198.47 (P24(f337(f337(f339(x116231),x116232),f337(f337(f315(x116231),x116232),x116233)))),
% 198.33/198.47 inference(rename_variables,[],[3646])).
% 198.33/198.47 cnf(11624,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a1),f2(a1)),f337(f80(a1),f337(f103(a1),f337(a115,x116241)))))),
% 198.33/198.47 inference(rename_variables,[],[4615])).
% 198.33/198.47 cnf(11627,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),f337(f337(f22(a884),x116271),x116272)),f337(a115,x116271)))),
% 198.33/198.47 inference(rename_variables,[],[3786])).
% 198.33/198.47 cnf(11630,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f45(a884,x116301,x116302)),x116301))),
% 198.33/198.47 inference(rename_variables,[],[3791])).
% 198.33/198.47 cnf(11636,plain,
% 198.33/198.47 (E(f337(f268(x116361,x116361),f269(x116361,x116362)),x116362)),
% 198.33/198.47 inference(rename_variables,[],[3283])).
% 198.33/198.47 cnf(11641,plain,
% 198.33/198.47 (E(f337(f337(f136(x116411),f172(x116411,x116412,x116413)),f172(x116411,x116414,x116413)),f337(f337(f136(x116411),f172(x116411,x116414,x116413)),f172(x116411,x116412,x116413)))),
% 198.33/198.47 inference(rename_variables,[],[3904])).
% 198.33/198.47 cnf(11646,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x116461)),x116461))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11655,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x116551),x116551))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11658,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f45(a884,x116581,x116582)),x116581))),
% 198.33/198.47 inference(rename_variables,[],[3791])).
% 198.33/198.47 cnf(11659,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f2(a884)),x116591))),
% 198.33/198.47 inference(rename_variables,[],[3347])).
% 198.33/198.47 cnf(11661,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a1),f79(a1)),f2(a1)))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,4537,10464,10558,3239,2915,2916,2920,2921,2924,2925,2932,2936,2937,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3010,3031,3067,3068,3070,3072,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,3309,3406,4589,10271,10274,10300,10781,10794,10917,11306,11398,4603,11512,11543,11578,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,3326,10420,10475,10691,10776,10904,3327,4585,10337,10818,10867,10877,3484,10642,10912,10956,11222,11303,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,3387,10673,10703,10712,3426,3420,3856,3791,10340,11630,4595,10291,10661,10664,11113,11131,11593,3347,10706,10861,10932,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,3943,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,4605,4616,4232,4131,3815,4613,10313,10316,10667,10670,4614,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863])).
% 198.33/198.47 cnf(11676,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x116761),x116761))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11679,plain,
% 198.33/198.47 (P24(f337(f337(f339(x116791),f337(x116792,x116793)),f337(f316(x116794,x116791,x116792),f260(f893(x116794,a878)))))),
% 198.33/198.47 inference(rename_variables,[],[3943])).
% 198.33/198.47 cnf(11680,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x116801)),x116801))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11683,plain,
% 198.33/198.47 (P24(f337(f337(f339(x116831),f337(x116832,x116833)),f337(f316(x116834,x116831,x116832),f260(f893(x116834,a878)))))),
% 198.33/198.47 inference(rename_variables,[],[3943])).
% 198.33/198.47 cnf(11684,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x116841),x116842)),x116842))),
% 198.33/198.47 inference(rename_variables,[],[4613])).
% 198.33/198.47 cnf(11689,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x116891),x116892)),x116891))),
% 198.33/198.47 inference(rename_variables,[],[4614])).
% 198.33/198.47 cnf(11692,plain,
% 198.33/198.47 (~P24(f337(f337(f175(x116921),f116(x116921)),x116922))),
% 198.33/198.47 inference(rename_variables,[],[4594])).
% 198.33/198.47 cnf(11695,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x116951),x116951))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11701,plain,
% 198.33/198.47 (~P37(x117011,x117012,f116(x117011))),
% 198.33/198.47 inference(rename_variables,[],[4558])).
% 198.33/198.47 cnf(11704,plain,
% 198.33/198.47 (P24(f337(f337(f339(x117041),x117042),f260(f893(x117041,a878))))),
% 198.33/198.47 inference(rename_variables,[],[3484])).
% 198.33/198.47 cnf(11705,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x117051)),x117051))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11708,plain,
% 198.33/198.47 (~P24(f337(f337(f175(x117081),f116(x117081)),x117082))),
% 198.33/198.47 inference(rename_variables,[],[4594])).
% 198.33/198.47 cnf(11720,plain,
% 198.33/198.47 (E(f337(f38(x117201),f337(f337(f315(x117201),x117202),f197(f893(x117201,a878)))),f337(a115,f337(f38(x117201),f197(f893(x117201,a878)))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,4537,10464,10558,3239,2915,2916,2920,2921,2924,2925,2932,2936,2937,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3010,3031,3067,3068,3070,3072,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,11627,3309,3406,4589,10271,10274,10300,10781,10794,10917,11306,11398,4603,11512,11543,11578,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,3326,10420,10475,10691,10776,10904,3327,3402,4585,10337,10818,10867,10877,11655,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,3387,10673,10703,10712,3426,3420,3856,3791,10340,11630,4595,10291,10661,10664,11113,11131,11593,11646,11680,3347,10706,10861,10932,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,3943,11344,11679,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034])).
% 198.33/198.47 cnf(11721,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x117211),x117212),f197(f893(x117211,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(11724,plain,
% 198.33/198.47 (E(f337(f337(f16(x117241,x117242),x117243),x117244),x117243)),
% 198.33/198.47 inference(rename_variables,[],[3316])).
% 198.33/198.47 cnf(11727,plain,
% 198.33/198.47 (E(f337(f337(f16(x117271,x117272),x117273),x117274),x117273)),
% 198.33/198.47 inference(rename_variables,[],[3316])).
% 198.33/198.47 cnf(11739,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),f2(a884)),f337(a115,x117391)))),
% 198.33/198.47 inference(rename_variables,[],[3406])).
% 198.33/198.47 cnf(11742,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x117421),x117421))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11745,plain,
% 198.33/198.47 (P24(f337(f337(f339(x117451),f337(x117452,x117453)),f337(f316(x117454,x117451,x117452),f260(f893(x117454,a878)))))),
% 198.33/198.47 inference(rename_variables,[],[3943])).
% 198.33/198.47 cnf(11748,plain,
% 198.33/198.47 (P24(f337(f62(x117481),f337(f175(x117481),x117482)))),
% 198.33/198.47 inference(rename_variables,[],[3366])).
% 198.33/198.47 cnf(11751,plain,
% 198.33/198.47 (P24(f337(f62(x117511),f337(f175(x117511),x117512)))),
% 198.33/198.47 inference(rename_variables,[],[3366])).
% 198.33/198.47 cnf(11754,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),f337(f80(a1),f337(f103(a1),x117541))),f337(f103(a1),x117542)))),
% 198.33/198.47 inference(rename_variables,[],[3816])).
% 198.33/198.47 cnf(11757,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x117571),x117572),f197(f893(x117571,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(11771,plain,
% 198.33/198.47 (~P24(f337(f337(f339(a884),f2(a884)),f337(f309(a884),x117711)))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,4537,10464,10558,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3010,3031,3067,3068,3070,3072,3076,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,4603,11512,11543,11578,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,3326,10420,10475,10691,10776,10904,3327,3402,4585,10337,10818,10867,10877,11655,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,3426,3420,3856,3791,10340,11630,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,3347,10706,10861,10932,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198])).
% 198.33/198.47 cnf(11775,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),f45(a884,x117751,f197(a884))),x117751))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,4537,10464,10558,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3010,3031,3067,3068,3070,3072,3076,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,4603,11512,11543,11578,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,3326,10420,10475,10691,10776,10904,11485,3327,3402,4585,10337,10818,10867,10877,11655,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,3426,3420,3856,3791,10340,11630,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,3347,10706,10861,10932,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238])).
% 198.33/198.47 cnf(11776,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x117761),x117761))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11779,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x117791),x117791))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11788,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x117881),x117881))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11791,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x117911),f2(a884)))),
% 198.33/198.47 inference(rename_variables,[],[4589])).
% 198.33/198.47 cnf(11796,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x117961),f2(a884)))),
% 198.33/198.47 inference(rename_variables,[],[4589])).
% 198.33/198.47 cnf(11803,plain,
% 198.33/198.47 (P24(f337(f260(f893(x118031,a878)),x118032))),
% 198.33/198.47 inference(rename_variables,[],[3387])).
% 198.33/198.47 cnf(11808,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f2(a884)),x118081))),
% 198.33/198.47 inference(rename_variables,[],[3347])).
% 198.33/198.47 cnf(11809,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x118091)),x118091))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11812,plain,
% 198.33/198.47 (~P24(f337(f337(f175(x118121),f116(x118121)),x118122))),
% 198.33/198.47 inference(rename_variables,[],[4594])).
% 198.33/198.47 cnf(11815,plain,
% 198.33/198.47 (~P24(f337(f337(f175(x118151),f116(x118151)),x118152))),
% 198.33/198.47 inference(rename_variables,[],[4594])).
% 198.33/198.47 cnf(11827,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a1),f337(f103(a1),f337(a115,x118271))),f337(f80(a1),f2(a1))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,4537,10464,10558,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,3326,10420,10475,10691,10776,10904,11485,11776,11779,3327,3402,4585,10337,10818,10867,10877,11655,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,3347,10706,10861,10932,11659,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491])).
% 198.33/198.47 cnf(11831,plain,
% 198.33/198.47 (P24(f337(f337(f252(a1),f337(f80(a1),f79(a1))),f2(a1)))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,4537,10464,10558,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,3326,10420,10475,10691,10776,10904,11485,11776,11779,3327,3402,4585,10337,10818,10867,10877,11655,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,3347,10706,10861,10932,11659,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507])).
% 198.33/198.47 cnf(11834,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x118341)),x118341))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11837,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x118371)),x118371))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11840,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x118401)),x118401))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11843,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x118431)),x118431))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(11845,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),f337(f337(f113(a884),x118451),x118452)),x118452))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,4537,10464,10558,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,3326,10420,10475,10691,10776,10904,11485,11776,11779,3327,3402,4585,10337,10818,10867,10877,11655,11676,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,3347,10706,10861,10932,11659,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516])).
% 198.33/198.47 cnf(11846,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x118461),x118461))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11849,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x118491),x118491))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11852,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x118521),x118521))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11855,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x118551),x118551))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11872,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x118721),x118721))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11878,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x118781),x118781))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11889,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x118891),x118891))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11892,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(f892(f885(x118921),f885(x118921)),a878)),f160(x118921,x118922)),f313(f885(x118921),f159(x118921,x118922))))),
% 198.33/198.47 inference(rename_variables,[],[4045])).
% 198.33/198.47 cnf(11899,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),x118991),f337(a115,x118991)))),
% 198.33/198.47 inference(rename_variables,[],[3394])).
% 198.33/198.47 cnf(11902,plain,
% 198.33/198.47 (P24(f337(f337(f339(f893(x119021,a878)),x119022),f337(f314(x119021),x119022)))),
% 198.33/198.47 inference(rename_variables,[],[3697])).
% 198.33/198.47 cnf(11903,plain,
% 198.33/198.47 (~E(f337(a115,x119031),x119031)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(11908,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x119081),x119081))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11912,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),f337(a107,f2(a1))),f337(a107,f79(a1))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,4537,10464,10558,3539,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,3327,3402,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,3347,10706,10861,10932,11659,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707])).
% 198.33/198.47 cnf(11913,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x119131),x119131))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11924,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x119241,a878)),x119242),f337(f337(f315(x119241),x119243),x119242)))),
% 198.33/198.47 inference(rename_variables,[],[3780])).
% 198.33/198.47 cnf(11927,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x119271),x119271))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11928,plain,
% 198.33/198.47 (~E(f337(a115,x119281),x119281)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(11939,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x119391),x119391))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11940,plain,
% 198.33/198.47 (~E(f337(a115,x119401),x119401)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(11943,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x119431),x119431))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11946,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x119461),x119461))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11948,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f337(f337(f104(a884),x119481),x119482)),x119482))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,4537,10464,10558,3539,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3794,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,3327,3402,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,3347,10706,10861,10932,11659,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841])).
% 198.33/198.47 cnf(11949,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x119491),x119491))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11952,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x119521),x119521))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(11955,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x119551),x119551))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11958,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x119581),x119581))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11961,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x119611),x119611))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11962,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),x119621),f337(a115,x119621)))),
% 198.33/198.47 inference(rename_variables,[],[3394])).
% 198.33/198.47 cnf(11969,plain,
% 198.33/198.47 (~E(f337(a115,x119691),x119691)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(11974,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x119741),x119741))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(11975,plain,
% 198.33/198.47 (~E(f337(a115,x119751),x119751)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(11978,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x119781),x119781))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(11980,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a107,f79(a1))),f337(a107,f2(a1))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,4537,10464,10558,3539,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,3327,3402,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,3347,10706,10861,10932,11659,3816,4170,4386,4592,3864,4575,4578,3300,3304,4577,4597,4576,4580,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917])).
% 198.33/198.47 cnf(11995,plain,
% 198.33/198.47 (P24(f337(f337(f251(a1),x119951),x119951))),
% 198.33/198.47 inference(rename_variables,[],[3326])).
% 198.33/198.47 cnf(12000,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f2(a884)),x120001))),
% 198.33/198.47 inference(rename_variables,[],[3347])).
% 198.33/198.47 cnf(12017,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x120171),f2(a884)))),
% 198.33/198.47 inference(rename_variables,[],[4589])).
% 198.33/198.47 cnf(12020,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x120201),f2(a884)))),
% 198.33/198.47 inference(rename_variables,[],[4589])).
% 198.33/198.47 cnf(12023,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x120231),x120232),f197(f893(x120231,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12026,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x120261),x120262),f197(f893(x120261,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12029,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x120291),x120291))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12031,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x120311),f337(f337(f104(a884),x120311),x120312)))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,4537,10464,10558,3539,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,3697,4076,3715,11033,11096,11177,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,3347,10706,10861,10932,11659,11808,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,3782,10709,11049,11197,11227,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086])).
% 198.33/198.47 cnf(12032,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x120321),x120321))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12035,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x120351),x120351))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12038,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x120381),x120381))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12041,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),x120411),f337(a115,x120411)))),
% 198.33/198.47 inference(rename_variables,[],[3394])).
% 198.33/198.47 cnf(12048,plain,
% 198.33/198.47 (P24(f337(f337(f339(f893(x120481,a878)),x120482),f337(f314(x120481),x120482)))),
% 198.33/198.47 inference(rename_variables,[],[3697])).
% 198.33/198.47 cnf(12053,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x120531,a878)),x120532),f337(f337(f315(x120531),x120533),x120532)))),
% 198.33/198.47 inference(rename_variables,[],[3780])).
% 198.33/198.47 cnf(12060,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x120601),x120602),f197(f893(x120601,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12069,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x120691,a878)),x120692),f260(f893(x120691,a878))))),
% 198.33/198.47 inference(rename_variables,[],[3715])).
% 198.33/198.47 cnf(12070,plain,
% 198.33/198.47 (~E(f337(a115,x120701),x120701)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(12072,plain,
% 198.33/198.47 (~P20(a879,f197(f893(f882(a879),a878)),f337(f337(f315(f882(a879)),f337(a94,a889)),f197(f893(f882(a879),a878))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,4537,10464,10558,3539,3239,2915,2916,2920,2921,2924,2925,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,3786,11627,3309,3406,11466,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,3697,11902,4076,3715,11033,11096,11177,11233,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,3347,10706,10861,10932,11659,11808,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236])).
% 198.33/198.47 cnf(12073,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x120731,a878)),f197(f893(x120731,a878))),x120732))),
% 198.33/198.47 inference(rename_variables,[],[3782])).
% 198.33/198.47 cnf(12076,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x120761,a878)),f337(f175(x120761),f337(f138(x120761,x120762),x120763))),f337(f175(x120761),x120763)))),
% 198.33/198.47 inference(rename_variables,[],[3989])).
% 198.33/198.47 cnf(12082,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),x120821),f337(a115,x120821)))),
% 198.33/198.47 inference(rename_variables,[],[3394])).
% 198.33/198.47 cnf(12090,plain,
% 198.33/198.47 (~P24(f337(f337(f339(f892(x120901,x120901)),x120902),f155(x120901,f116(f893(x120901,a884)))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,4537,10464,10558,3539,3239,2915,2916,2920,2921,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,3697,11902,4076,3715,11033,11096,11177,11233,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,3347,10706,10861,10932,11659,11808,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304])).
% 198.33/198.47 cnf(12091,plain,
% 198.33/198.47 (E(f337(f268(x120911,x120911),f269(x120911,x120912)),x120912)),
% 198.33/198.47 inference(rename_variables,[],[3283])).
% 198.33/198.47 cnf(12102,plain,
% 198.33/198.47 (~P24(f337(f337(f251(a884),f337(a115,x121021)),x121021))),
% 198.33/198.47 inference(rename_variables,[],[4595])).
% 198.33/198.47 cnf(12103,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x121031),f2(a884)))),
% 198.33/198.47 inference(rename_variables,[],[4589])).
% 198.33/198.47 cnf(12106,plain,
% 198.33/198.47 (P24(f337(f62(x121061),f197(f893(x121061,a878))))),
% 198.33/198.47 inference(rename_variables,[],[3402])).
% 198.33/198.47 cnf(12107,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x121071),x121072),f197(f893(x121071,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12114,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x121141,a878)),f337(f175(x121141),f173(x121141,x121142,x121143))),f337(f175(x121141),x121143)))),
% 198.33/198.47 inference(rename_variables,[],[4040])).
% 198.33/198.47 cnf(12117,plain,
% 198.33/198.47 (P21(x121171,x121171,f5(x121171),x121172)),
% 198.33/198.47 inference(rename_variables,[],[3570])).
% 198.33/198.47 cnf(12122,plain,
% 198.33/198.47 (P24(f337(f337(f339(f893(x121221,a878)),x121222),f337(f314(x121221),x121222)))),
% 198.33/198.47 inference(rename_variables,[],[3697])).
% 198.33/198.47 cnf(12129,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x121291),x121291))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(12132,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x121321),x121322),f197(f893(x121321,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12135,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x121351,a878)),x121352),f337(f337(f315(x121351),x121353),x121352)))),
% 198.33/198.47 inference(rename_variables,[],[3780])).
% 198.33/198.47 cnf(12136,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x121361,a878)),x121362),f260(f893(x121361,a878))))),
% 198.33/198.47 inference(rename_variables,[],[3715])).
% 198.33/198.47 cnf(12143,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x121431),x121431))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(12146,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x121461),x121461))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(12149,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x121491),x121491))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(12152,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x121521),x121521))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(12154,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),x121541),f337(a115,f337(f337(f250(a884),x121542),x121541))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,11086,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,4537,10464,10558,3539,3239,2915,2916,2920,2921,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,11751,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,11030,3697,11902,12048,4076,3715,11033,11096,11177,11233,12069,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,3347,10706,10861,10932,11659,11808,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,12053,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645])).
% 198.33/198.47 cnf(12155,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),x121551),f337(a115,x121551)))),
% 198.33/198.47 inference(rename_variables,[],[3394])).
% 198.33/198.47 cnf(12158,plain,
% 198.33/198.47 (P24(f337(f337(f252(a884),x121581),f337(a115,x121581)))),
% 198.33/198.47 inference(rename_variables,[],[3394])).
% 198.33/198.47 cnf(12161,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x121611,a878)),x121612),x121612))),
% 198.33/198.47 inference(rename_variables,[],[3631])).
% 198.33/198.47 cnf(12168,plain,
% 198.33/198.47 (P24(f337(f337(f339(f893(x121681,a878)),x121682),f337(f314(x121681),x121682)))),
% 198.33/198.47 inference(rename_variables,[],[3697])).
% 198.33/198.47 cnf(12174,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a1),f337(f337(f81(a1),a84),a84)),f2(a1)))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,11086,4557,4558,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,4537,10464,10558,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3806,3383,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,11751,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,11030,3697,11902,12048,12122,4076,3715,11033,11096,11177,11233,12069,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,3347,10706,10861,10932,11659,11808,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,12053,3631,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734])).
% 198.33/198.47 cnf(12177,plain,
% 198.33/198.47 (~E(f337(a115,x121771),x121771)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(12178,plain,
% 198.33/198.47 (E(f337(f316(x121781,x121781,f5(x121781)),x121782),x121782)),
% 198.33/198.47 inference(rename_variables,[],[3383])).
% 198.33/198.47 cnf(12181,plain,
% 198.33/198.47 (P34(x121811,x121812,f116(x121811),f116(x121811))),
% 198.33/198.47 inference(rename_variables,[],[3579])).
% 198.33/198.47 cnf(12184,plain,
% 198.33/198.47 (~E(f337(a115,x121841),x121841)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(12187,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x121871,a878)),f337(f175(x121871),f173(x121871,x121872,x121873))),f337(f175(x121871),x121873)))),
% 198.33/198.47 inference(rename_variables,[],[4040])).
% 198.33/198.47 cnf(12188,plain,
% 198.33/198.47 (P24(f337(f62(x121881),f337(f175(x121881),x121882)))),
% 198.33/198.47 inference(rename_variables,[],[3366])).
% 198.33/198.47 cnf(12198,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),f337(f275(x121981,x121982),f337(f337(f272(x121981,x121982),a24),x121983))),x121983))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,11086,3579,4557,4558,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,4537,10464,10558,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3383,10854,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,11751,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,3989,10851,4040,11030,12114,3697,11902,12048,12122,4076,3715,11033,11096,11177,11233,12069,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,3484,10642,10912,10956,11222,11303,11470,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,3347,10706,10861,10932,11659,11808,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,12053,3631,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4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% 198.33/198.47 cnf(12199,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x121991),x121991))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12202,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x122021),x122021))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12207,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f2(a884)),x122071))),
% 198.33/198.47 inference(rename_variables,[],[3347])).
% 198.33/198.47 cnf(12214,plain,
% 198.33/198.47 (P30(a884,f337(f171(a884),f337(f337(f156(f885(x122141),a884),f198(f885(x122141))),f183(x122141,x122142))))),
% 198.33/198.47 inference(rename_variables,[],[3899])).
% 198.33/198.47 cnf(12217,plain,
% 198.33/198.47 (P21(x122171,x122171,f5(x122171),x122172)),
% 198.33/198.47 inference(rename_variables,[],[3570])).
% 198.33/198.47 cnf(12220,plain,
% 198.33/198.47 (P24(f337(f337(f339(f885(x122201)),f116(x122201)),f163(x122201,x122202)))),
% 198.33/198.47 inference(rename_variables,[],[3530])).
% 198.33/198.47 cnf(12223,plain,
% 198.33/198.47 (~P24(f337(f337(f197(f893(x122231,f893(x122232,a878))),x122233),x122234))),
% 198.33/198.47 inference(rename_variables,[],[4616])).
% 198.33/198.47 cnf(12228,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x122281),x122281))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(12229,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),f2(a884)),x122291))),
% 198.33/198.47 inference(rename_variables,[],[3347])).
% 198.33/198.47 cnf(12232,plain,
% 198.33/198.47 (~P24(f337(f337(f197(f893(x122321,f893(x122322,a878))),x122323),x122324))),
% 198.33/198.47 inference(rename_variables,[],[4616])).
% 198.33/198.47 cnf(12235,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(f892(f885(x122351),f885(x122351)),a878)),f160(x122351,x122352)),f313(f885(x122351),f159(x122351,x122352))))),
% 198.33/198.47 inference(rename_variables,[],[4045])).
% 198.33/198.47 cnf(12241,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x122411,a878)),f337(f175(x122411),f173(x122411,x122412,x122413))),f337(f175(x122411),x122413)))),
% 198.33/198.47 inference(rename_variables,[],[4040])).
% 198.33/198.47 cnf(12242,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x122421,a878)),f337(f175(x122421),f337(f138(x122421,x122422),x122423))),f337(f175(x122421),x122423)))),
% 198.33/198.47 inference(rename_variables,[],[3989])).
% 198.33/198.47 cnf(12244,plain,
% 198.33/198.47 (~P24(f337(f337(f251(f893(x122441,a878)),f260(f893(x122441,a878))),f197(f893(x122441,a878))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,11086,12117,3579,4557,4558,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,4537,10464,10558,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,3696,4413,4414,4545,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,11751,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,11892,12235,3989,10851,12076,4040,11030,12114,12187,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,12053,3631,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,4232,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,998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% 198.33/198.47 cnf(12245,plain,
% 198.33/198.47 (~P24(f337(f337(f252(f893(x122451,a878)),x122452),f197(f893(x122451,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4609])).
% 198.33/198.47 cnf(12248,plain,
% 198.33/198.47 (P21(x122481,f887(x122481),f209(x122481),x122482)),
% 198.33/198.47 inference(rename_variables,[],[3580])).
% 198.33/198.47 cnf(12253,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x122531,a878)),f337(f316(x122532,x122531,x122533),f337(f317(x122532,x122531,x122533),x122534))),x122534))),
% 198.33/198.47 inference(rename_variables,[],[4232])).
% 198.33/198.47 cnf(12256,plain,
% 198.33/198.47 (P24(f337(f62(f887(x122561)),f337(f316(x122562,f887(x122561),f337(f181(x122562,x122561),x122563)),f260(f893(x122562,a878)))))),
% 198.33/198.47 inference(rename_variables,[],[4053])).
% 198.33/198.47 cnf(12260,plain,
% 198.33/198.47 (P24(f337(f337(f339(f892(f885(a884),f885(a884))),f337(f337(f272(f885(a884),f885(a884)),f116(a884)),f117(a884,f116(a884)))),f269(f885(a884),f163(a884,x122601))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,11086,12117,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,4537,10464,10558,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,3696,4413,4414,4545,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,11751,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,11892,12235,3989,10851,12076,4040,11030,12114,12187,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,12053,3631,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178])).
% 198.33/198.47 cnf(12261,plain,
% 198.33/198.47 (P24(f337(f337(f339(f885(x122611)),f116(x122611)),f163(x122611,x122612)))),
% 198.33/198.47 inference(rename_variables,[],[3530])).
% 198.33/198.47 cnf(12264,plain,
% 198.33/198.47 (~P24(f337(f337(f339(f892(f885(x122641),f885(x122641))),f337(f337(f272(f885(x122641),f885(x122641)),x122642),f116(x122641))),f147(x122641,x122643)))),
% 198.33/198.47 inference(rename_variables,[],[4620])).
% 198.33/198.47 cnf(12267,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x122671),f2(a884)))),
% 198.33/198.47 inference(rename_variables,[],[4589])).
% 198.33/198.47 cnf(12269,plain,
% 198.33/198.47 (~P24(f337(f62(x122691),f260(f893(x122691,a878))))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,11086,12117,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,4537,10464,10558,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,3696,4413,4414,4545,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,11751,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,11892,12235,3989,10851,12076,4040,11030,12114,12187,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,12053,3631,12161,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222])).
% 198.33/198.47 cnf(12270,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x122701,a878)),x122702),x122702))),
% 198.33/198.47 inference(rename_variables,[],[3631])).
% 198.33/198.47 cnf(12273,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x122731),x122732),f197(f893(x122731,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12276,plain,
% 198.33/198.47 (~P24(f337(f337(f197(f893(x122761,f893(x122762,a878))),x122763),x122764))),
% 198.33/198.47 inference(rename_variables,[],[4616])).
% 198.33/198.47 cnf(12279,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x122791,a878)),x122792),x122792))),
% 198.33/198.47 inference(rename_variables,[],[3631])).
% 198.33/198.47 cnf(12284,plain,
% 198.33/198.47 (E(f337(f268(x122841,x122841),f269(x122841,x122842)),x122842)),
% 198.33/198.47 inference(rename_variables,[],[3283])).
% 198.33/198.47 cnf(12287,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x122871,a878)),f337(f175(x122871),f173(x122871,x122872,x122873))),f337(f175(x122871),x122873)))),
% 198.33/198.47 inference(rename_variables,[],[4040])).
% 198.33/198.47 cnf(12288,plain,
% 198.33/198.47 (P24(f337(f62(x122881),f337(f175(x122881),x122882)))),
% 198.33/198.47 inference(rename_variables,[],[3366])).
% 198.33/198.47 cnf(12291,plain,
% 198.33/198.47 (P24(f337(f337(f251(a884),x122911),x122911))),
% 198.33/198.47 inference(rename_variables,[],[3325])).
% 198.33/198.47 cnf(12294,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x122941),x122941))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12297,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x122971),x122971))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12301,plain,
% 198.33/198.47 (~P24(f337(f337(f252(f893(a884,a878)),f308(a884,x123011,x123012)),f308(a884,f337(a115,x123013),x123013)))),
% 198.33/198.47 inference(scs_inference,[],[4627,3570,11086,12117,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,4537,10464,10558,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,3259,3268,3794,4113,3150,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,3252,3430,4608,3976,4547,10294,10461,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,3978,11027,11153,11200,4620,10959,11158,11259,11284,11322,11328,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,3696,4413,4414,4545,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3522,4604,4120,11279,3656,3366,11748,11751,12188,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,4087,4045,11892,12235,3989,10851,12076,4040,11030,12114,12187,12241,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,3780,10972,10978,10993,11924,12053,3631,12161,12270,3782,10709,11049,11197,11227,11238,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,12232,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,969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% 198.33/198.47 cnf(12308,plain,
% 198.33/198.47 (P21(x123081,x123081,f5(x123081),x123082)),
% 198.33/198.47 inference(rename_variables,[],[3570])).
% 198.33/198.47 cnf(12313,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x123131),x123132),f197(f893(x123131,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12316,plain,
% 198.33/198.47 (P24(f337(f337(f339(f892(x123161,x123161)),f337(f337(f272(x123161,x123161),x123162),x123162)),f313(x123161,x123163)))),
% 198.33/198.47 inference(rename_variables,[],[3978])).
% 198.33/198.47 cnf(12319,plain,
% 198.33/198.47 (~P24(f337(f337(f339(x123191),x123192),f197(f893(x123191,a878))))),
% 198.33/198.47 inference(rename_variables,[],[4599])).
% 198.33/198.47 cnf(12322,plain,
% 198.33/198.47 (P24(f337(f337(f339(f892(x123221,x123221)),f337(f337(f272(x123221,x123221),x123222),x123222)),f313(x123221,x123223)))),
% 198.33/198.47 inference(rename_variables,[],[3978])).
% 198.33/198.47 cnf(12332,plain,
% 198.33/198.47 (~E(f337(f337(f153(x123321),x123322),x123323),x123323)),
% 198.33/198.47 inference(rename_variables,[],[4547])).
% 198.33/198.47 cnf(12335,plain,
% 198.33/198.47 (P24(f337(f337(f339(x123351),x123352),f260(f893(x123351,a878))))),
% 198.33/198.47 inference(rename_variables,[],[3484])).
% 198.33/198.47 cnf(12336,plain,
% 198.33/198.47 (~E(f337(a115,x123361),x123361)),
% 198.33/198.47 inference(rename_variables,[],[4522])).
% 198.33/198.47 cnf(12339,plain,
% 198.33/198.47 (P24(f337(f337(f339(f885(x123391)),f116(x123391)),f163(x123391,x123392)))),
% 198.33/198.47 inference(rename_variables,[],[3530])).
% 198.33/198.47 cnf(12340,plain,
% 198.33/198.47 (~E(f337(f337(f153(x123401),x123402),x123403),f116(x123401))),
% 198.33/198.47 inference(rename_variables,[],[4554])).
% 198.33/198.47 cnf(12343,plain,
% 198.33/198.47 (P24(f337(f337(f339(x123431),f337(x123432,x123433)),f337(f316(x123434,x123431,x123432),f260(f893(x123434,a878)))))),
% 198.33/198.47 inference(rename_variables,[],[3943])).
% 198.33/198.47 cnf(12344,plain,
% 198.33/198.47 (P21(x123441,x123441,f5(x123441),x123442)),
% 198.33/198.47 inference(rename_variables,[],[3570])).
% 198.33/198.47 cnf(12347,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x123471,a878)),f197(f893(x123471,a878))),x123472))),
% 198.33/198.47 inference(rename_variables,[],[3782])).
% 198.33/198.47 cnf(12348,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x123481,a878)),x123482),x123482))),
% 198.33/198.47 inference(rename_variables,[],[3631])).
% 198.33/198.47 cnf(12351,plain,
% 198.33/198.47 (P24(f337(f337(f339(x123511),f337(x123512,x123513)),f337(f316(x123514,x123511,x123512),f260(f893(x123514,a878)))))),
% 198.33/198.47 inference(rename_variables,[],[3943])).
% 198.33/198.47 cnf(12352,plain,
% 198.33/198.47 (P21(x123521,x123521,f5(x123521),x123522)),
% 198.33/198.47 inference(rename_variables,[],[3570])).
% 198.33/198.47 cnf(12355,plain,
% 198.33/198.47 (P24(f337(f337(f339(f892(f885(x123551),f885(x123551))),f337(f337(f272(f885(x123551),f885(x123551)),f116(x123551)),f116(x123551))),f160(x123551,x123552)))),
% 198.33/198.47 inference(rename_variables,[],[4126])).
% 198.33/198.47 cnf(12359,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x123591),f2(a884)))),
% 198.33/198.47 inference(rename_variables,[],[4589])).
% 198.33/198.47 cnf(12365,plain,
% 198.33/198.47 (E(f337(f337(f136(x123651),x123652),f116(x123651)),x123652)),
% 198.33/198.47 inference(rename_variables,[],[3253])).
% 198.33/198.47 cnf(12366,plain,
% 198.33/198.47 (~E(f337(f337(f153(x123661),x123662),x123663),x123663)),
% 198.33/198.47 inference(rename_variables,[],[4547])).
% 198.33/198.47 cnf(12369,plain,
% 198.33/198.47 (E(f337(f337(f136(x123691),x123692),f116(x123691)),x123692)),
% 198.33/198.47 inference(rename_variables,[],[3253])).
% 198.33/198.47 cnf(12370,plain,
% 198.33/198.47 (~E(f337(f337(f153(x123701),x123702),x123703),x123703)),
% 198.33/198.47 inference(rename_variables,[],[4547])).
% 198.33/198.47 cnf(12373,plain,
% 198.33/198.47 (E(f337(f337(f136(x123731),x123732),f116(x123731)),x123732)),
% 198.33/198.47 inference(rename_variables,[],[3253])).
% 198.33/198.47 cnf(12382,plain,
% 198.33/198.47 (P24(f337(f337(f251(f893(x123821,a878)),x123822),f260(f893(x123821,a878))))),
% 198.33/198.47 inference(rename_variables,[],[3715])).
% 198.33/198.47 cnf(12386,plain,
% 198.33/198.47 (~P24(f337(f337(f252(a884),x123861),x123861))),
% 198.33/198.47 inference(rename_variables,[],[4585])).
% 198.33/198.47 cnf(12387,plain,
% 198.33/198.48 (~E(f337(a115,x123871),x123871)),
% 198.33/198.48 inference(rename_variables,[],[4522])).
% 198.33/198.48 cnf(12390,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x123901,a878)),f197(f893(x123901,a878))),x123902))),
% 198.33/198.48 inference(rename_variables,[],[3782])).
% 198.33/198.48 cnf(12393,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x123931),x123931))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12396,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x123961,a878)),x123962),x123962))),
% 198.33/198.48 inference(rename_variables,[],[3631])).
% 198.33/198.48 cnf(12401,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x124011,a878)),x124012),f337(f337(f315(x124011),x124013),x124012)))),
% 198.33/198.48 inference(rename_variables,[],[3780])).
% 198.33/198.48 cnf(12404,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x124041,a878)),x124042),x124042))),
% 198.33/198.48 inference(rename_variables,[],[3631])).
% 198.33/198.48 cnf(12405,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x124051),x124052),f197(f893(x124051,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12408,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x124081),x124082),f197(f893(x124081,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12416,plain,
% 198.33/198.48 (~P24(f337(f337(f251(f893(f892(x124161,x124161),a878)),f337(f316(f892(x124161,x124161),f892(x124161,x124161),f5(f892(x124161,x124161))),f260(f893(f892(x124161,x124161),a878)))),f337(f316(f892(x124161,x124161),f892(x124161,x124161),f5(f892(x124161,x124161))),f197(f893(f892(x124161,x124161),a878)))))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,4537,10464,10558,3382,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,3253,12365,12369,3259,3268,3794,4113,3150,4534,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,12355,3978,11027,11153,11200,12316,12322,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3724,3522,4604,4120,11279,3656,3366,11748,11751,12188,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,3387,10673,10703,10712,11251,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,11745,12343,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,12232,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,89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% 198.33/198.48 cnf(12417,plain,
% 198.33/198.48 (P21(x124171,x124171,f5(x124171),x124172)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12420,plain,
% 198.33/198.48 (E(f337(f198(f885(x124201)),f172(x124201,x124202,x124203)),x124202)),
% 198.33/198.48 inference(rename_variables,[],[3393])).
% 198.33/198.48 cnf(12423,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x124231),x124231))),
% 198.33/198.48 inference(rename_variables,[],[4585])).
% 198.33/198.48 cnf(12424,plain,
% 198.33/198.48 (P24(f337(f260(f893(x124241,a878)),x124242))),
% 198.33/198.48 inference(rename_variables,[],[3387])).
% 198.33/198.48 cnf(12427,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x124271),x124272),f197(f893(x124271,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12430,plain,
% 198.33/198.48 (P24(f337(f337(f339(x124301),f337(x124302,x124303)),f337(f316(x124304,x124301,x124302),f260(f893(x124304,a878)))))),
% 198.33/198.48 inference(rename_variables,[],[3943])).
% 198.33/198.48 cnf(12431,plain,
% 198.33/198.48 (P24(f337(f337(f339(f892(x124311,x124311)),f337(f337(f272(x124311,x124311),x124312),x124312)),f313(x124311,x124313)))),
% 198.33/198.48 inference(rename_variables,[],[3978])).
% 198.33/198.48 cnf(12434,plain,
% 198.33/198.48 (P24(f337(f337(f339(f892(x124341,x124341)),f337(f337(f272(x124341,x124341),x124342),x124342)),f313(x124341,x124343)))),
% 198.33/198.48 inference(rename_variables,[],[3978])).
% 198.33/198.48 cnf(12437,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x124371),x124371))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12438,plain,
% 198.33/198.48 (P24(f337(f260(f893(x124381,a878)),x124382))),
% 198.33/198.48 inference(rename_variables,[],[3387])).
% 198.33/198.48 cnf(12441,plain,
% 198.33/198.48 (P24(f337(f62(x124411),f337(f175(x124411),x124412)))),
% 198.33/198.48 inference(rename_variables,[],[3366])).
% 198.33/198.48 cnf(12443,plain,
% 198.33/198.48 (E(f337(f337(f136(x124431),f696(x124432,x124433,f116(x124431),f337(f337(f153(x124431),x124433),x124432),x124431)),f116(x124431)),x124432)),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,4537,10464,10558,3382,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,3253,12365,12369,12373,3259,3268,3794,4113,3393,3150,4534,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,12355,3978,11027,11153,11200,12316,12322,12431,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3724,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,11745,12343,12351,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,12232,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414])).
% 198.33/198.48 cnf(12448,plain,
% 198.33/198.48 (P24(f337(f337(f339(f892(x124481,x124481)),f337(f337(f272(x124481,x124481),x124482),x124482)),f337(f337(f294(x124481,x124481,x124481),f313(x124481,x124483)),f313(x124481,f313(x124481,x124483)))))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,4537,10464,10558,3382,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,3253,12365,12369,12373,3259,3268,3794,4113,3393,3150,4534,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,12355,3978,11027,11153,11200,12316,12322,12431,12434,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3724,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,11745,12343,12351,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,12232,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,88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% 198.33/198.48 cnf(12451,plain,
% 198.33/198.48 (~P24(f337(f337(f197(f893(x124511,f893(x124512,a878))),x124513),x124514))),
% 198.33/198.48 inference(rename_variables,[],[4616])).
% 198.33/198.48 cnf(12454,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x124541,a878)),x124542),f260(f893(x124541,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3715])).
% 198.33/198.48 cnf(12457,plain,
% 198.33/198.48 (P24(f337(f337(f339(f892(x124571,x124571)),f337(f337(f272(x124571,x124571),x124572),x124572)),f313(x124571,x124573)))),
% 198.33/198.48 inference(rename_variables,[],[3978])).
% 198.33/198.48 cnf(12460,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),f337(f337(f81(a884),x124601),x124602)),x124602))),
% 198.33/198.48 inference(rename_variables,[],[4613])).
% 198.33/198.48 cnf(12461,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x124611),f337(a115,x124611)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(12464,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x124641,a878)),f337(f175(x124641),f337(f138(x124641,x124642),x124643))),f337(f175(x124641),x124643)))),
% 198.33/198.48 inference(rename_variables,[],[3989])).
% 198.33/198.48 cnf(12467,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x124671,a878)),x124672),f260(f893(x124671,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3715])).
% 198.33/198.48 cnf(12470,plain,
% 198.33/198.48 (E(f337(f268(x124701,x124701),f269(x124701,x124702)),x124702)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12480,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x124801),f337(f198(f885(x124802)),f116(x124802))))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,4537,10464,10558,3382,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3670,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,3253,12365,12369,12373,3259,3268,3794,4113,3393,3150,4534,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,12355,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3724,4266,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,11745,12343,12351,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,12232,12276,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,11684,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532])).
% 198.33/198.48 cnf(12481,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x124811),x124812),f197(f893(x124811,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12482,plain,
% 198.33/198.48 (P24(f337(f337(f339(f892(f885(x124821),f885(x124821))),f337(f337(f272(f885(x124821),f885(x124821)),f116(x124821)),f116(x124821))),f160(x124821,x124822)))),
% 198.33/198.48 inference(rename_variables,[],[4126])).
% 198.33/198.48 cnf(12484,plain,
% 198.33/198.48 (P24(f337(f337(f339(f892(a884,a884)),f337(f337(f272(a884,a884),f337(a115,x124841)),f337(a115,f337(a115,x124841)))),f337(f337(f294(a884,a884,a884),f313(a884,a327)),f313(a884,f313(a884,a327)))))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,3579,3580,3294,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,4537,10464,10558,3382,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3670,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,3253,12365,12369,12373,3259,3268,3794,4113,3393,3150,4534,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,12355,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3724,4266,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,4611,10581,10870,4618,11189,11311,4053,3943,11344,11679,11683,11745,12343,12351,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,12232,12276,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,11684,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558])).
% 198.33/198.48 cnf(12487,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x124871),x124872),f197(f893(x124871,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12490,plain,
% 198.33/198.48 (P33(x124901,x124902,f116(x124901))),
% 198.33/198.48 inference(rename_variables,[],[3258])).
% 198.33/198.48 cnf(12493,plain,
% 198.33/198.48 (E(f337(f198(f885(x124931)),f172(x124931,x124932,x124933)),x124932)),
% 198.33/198.48 inference(rename_variables,[],[3393])).
% 198.33/198.48 cnf(12496,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x124961),x124962),f197(f893(x124961,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12500,plain,
% 198.33/198.48 (~P24(f337(f337(f339(f892(f885(x125001),f885(x125001))),f337(f337(f272(f885(x125001),f885(x125001)),x125002),x125002)),f149(x125001,f155(x125001,f116(f893(x125001,a884))))))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,3579,3580,3294,3258,4557,4558,3190,4556,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,4537,10464,10558,3382,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3067,3068,3070,3072,3076,3077,3087,3094,3107,4518,3670,3904,11641,3160,11355,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,3150,4534,3533,3889,11405,3215,3181,3176,3158,3159,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3431,3212,10363,10676,3213,3489,3129,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,3786,11627,3309,3406,11466,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,4603,11512,11543,11578,11607,3773,3540,3926,3353,3355,3328,4586,4542,3724,4266,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,3484,10642,10912,10956,11222,11303,11470,11704,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,4170,4386,4592,3827,3864,4575,4578,3300,3304,4577,4597,4576,4580,3835,3646,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,3943,11344,11679,11683,11745,12343,12351,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,4615,11624,4605,4616,11498,12223,12232,12276,4232,10842,4131,3815,3759,4613,10313,10316,10667,10670,11509,11684,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929])).
% 198.33/198.48 cnf(12502,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x125021),x125021))),
% 198.33/198.48 inference(rename_variables,[],[4585])).
% 198.33/198.48 cnf(12505,plain,
% 198.33/198.48 (P24(f337(f337(f339(x125051),x125052),f260(f893(x125051,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3484])).
% 198.33/198.48 cnf(12513,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x125131,a878)),x125132),x125132))),
% 198.33/198.48 inference(rename_variables,[],[3631])).
% 198.33/198.48 cnf(12516,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x125161),x125162),f197(f893(x125161,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12519,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),f2(a1)),f337(f337(f262(a1),f337(f76(a1),x125191)),x125192)))),
% 198.33/198.48 inference(rename_variables,[],[3815])).
% 198.33/198.48 cnf(12522,plain,
% 198.33/198.48 (~E(f337(a115,x125221),x125221)),
% 198.33/198.48 inference(rename_variables,[],[4522])).
% 198.33/198.48 cnf(12524,plain,
% 198.33/198.48 (E(f337(f268(x125241,x125241),f269(x125241,x125242)),x125242)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12526,plain,
% 198.33/198.48 (E(f337(f268(x125261,x125261),f269(x125261,x125262)),x125262)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12531,plain,
% 198.33/198.48 (P39(x125311,f155(x125311,x125312))),
% 198.33/198.48 inference(rename_variables,[],[3190])).
% 198.33/198.48 cnf(12537,plain,
% 198.33/198.48 (P31(x125371,f2(a884),f337(f337(f337(f93(x125371),x125372),f337(a28,x125373)),x125374))),
% 198.33/198.48 inference(rename_variables,[],[3708])).
% 198.33/198.48 cnf(12543,plain,
% 198.33/198.48 (P20(x125431,x125432,f197(f893(f882(x125431),a878)))),
% 198.33/198.48 inference(rename_variables,[],[3381])).
% 198.33/198.48 cnf(12549,plain,
% 198.33/198.48 (P11(x125491,f893(x125491,a878),f315(x125491))),
% 198.33/198.48 inference(rename_variables,[],[3297])).
% 198.33/198.48 cnf(12556,plain,
% 198.33/198.48 (E(f337(f268(x125561,x125561),f269(x125561,x125562)),x125562)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12558,plain,
% 198.33/198.48 (E(f337(f268(x125581,x125581),f269(x125581,x125582)),x125582)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12560,plain,
% 198.33/198.48 (E(f337(f268(x125601,x125601),f269(x125601,x125602)),x125602)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12562,plain,
% 198.33/198.48 (E(f337(f268(x125621,x125621),f269(x125621,x125622)),x125622)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12564,plain,
% 198.33/198.48 (E(f337(f268(x125641,x125641),f269(x125641,x125642)),x125642)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12572,plain,
% 198.33/198.48 (E(f337(f268(x125721,x125721),f269(x125721,x125722)),x125722)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12574,plain,
% 198.33/198.48 (P41(x125741,x125742,f269(x125741,x125742))),
% 198.33/198.48 inference(rename_variables,[],[3293])).
% 198.33/198.48 cnf(12576,plain,
% 198.33/198.48 (P41(x125761,x125762,f269(x125761,x125762))),
% 198.33/198.48 inference(rename_variables,[],[3293])).
% 198.33/198.48 cnf(12580,plain,
% 198.33/198.48 (P21(x125801,x125801,f5(x125801),x125802)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12582,plain,
% 198.33/198.48 (P21(x125821,x125821,f5(x125821),x125822)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12589,plain,
% 198.33/198.48 (E(f337(f268(x125891,x125891),f269(x125891,x125892)),x125892)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12591,plain,
% 198.33/198.48 (P52(x125911,f197(f893(x125911,a878)),x125912)),
% 198.33/198.48 inference(rename_variables,[],[3345])).
% 198.33/198.48 cnf(12604,plain,
% 198.33/198.48 (E(f197(f893(f892(x126041,x126041),a878)),f269(x126041,f197(f893(x126041,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3397])).
% 198.33/198.48 cnf(12608,plain,
% 198.33/198.48 (P51(x126081,x126081,f269(x126081,x126082))),
% 198.33/198.48 inference(rename_variables,[],[3294])).
% 198.33/198.48 cnf(12619,plain,
% 198.33/198.48 (P34(x126191,x126192,f116(x126191),f116(x126191))),
% 198.33/198.48 inference(rename_variables,[],[3579])).
% 198.33/198.48 cnf(12621,plain,
% 198.33/198.48 (P34(x126211,x126212,f116(x126211),f116(x126211))),
% 198.33/198.48 inference(rename_variables,[],[3579])).
% 198.33/198.48 cnf(12625,plain,
% 198.33/198.48 (P44(x126251,x126252,x126253,x126254,f197(f893(x126251,a878)),x126254)),
% 198.33/198.48 inference(rename_variables,[],[4296])).
% 198.33/198.48 cnf(12628,plain,
% 198.33/198.48 (P44(x126281,x126282,x126283,x126284,f197(f893(x126281,a878)),x126284)),
% 198.33/198.48 inference(rename_variables,[],[4296])).
% 198.33/198.48 cnf(12632,plain,
% 198.33/198.48 (E(f337(f268(x126321,x126321),f269(x126321,x126322)),x126322)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12639,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),f2(a884)),f337(a115,x126391)))),
% 198.33/198.48 inference(rename_variables,[],[3406])).
% 198.33/198.48 cnf(12640,plain,
% 198.33/198.48 (~E(f337(a115,x126401),x126401)),
% 198.33/198.48 inference(rename_variables,[],[4522])).
% 198.33/198.48 cnf(12646,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x126461),f337(a115,x126461)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(12651,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x126511),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12660,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a1),f337(f103(a1),x126601)),f337(f80(a1),f337(f103(a1),x126602))))),
% 198.33/198.48 inference(rename_variables,[],[4610])).
% 198.33/198.48 cnf(12670,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x126701),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12673,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x126731),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12676,plain,
% 198.33/198.48 (P24(f337(f62(a884),f310(a884,x126761,x126762)))),
% 198.33/198.48 inference(rename_variables,[],[3542])).
% 198.33/198.48 cnf(12679,plain,
% 198.33/198.48 (P24(f337(f62(a884),f310(a884,x126791,x126792)))),
% 198.33/198.48 inference(rename_variables,[],[3542])).
% 198.33/198.48 cnf(12682,plain,
% 198.33/198.48 (P24(f337(f62(a884),f310(a884,x126821,x126822)))),
% 198.33/198.48 inference(rename_variables,[],[3542])).
% 198.33/198.48 cnf(12685,plain,
% 198.33/198.48 (P24(f337(f62(a884),f310(a884,x126851,x126852)))),
% 198.33/198.48 inference(rename_variables,[],[3542])).
% 198.33/198.48 cnf(12692,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),f337(f80(a1),f337(f103(a1),x126921))),f337(f103(a1),x126922)))),
% 198.33/198.48 inference(rename_variables,[],[3816])).
% 198.33/198.48 cnf(12694,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),f2(a1)),f337(f106(a1),f2(a1))))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,4537,10464,10558,3382,3345,12591,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3063,3067,3068,3070,3072,3076,3077,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3733,3431,3657,3397,12604,3212,10363,10676,3213,3489,3205,3129,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,3786,11627,3309,3406,11466,11739,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,4603,11512,11543,11578,11607,3773,3540,3542,12676,12679,12682,3926,3353,3355,3328,4586,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,3484,10642,10912,10956,11222,11303,11470,11704,12335,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,11754,4170,4386,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,3835,3646,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,3943,11344,11679,11683,11745,12343,12351,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,12404,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,4131,3815,3759,3760,4613,10313,10316,10667,10670,11509,11684,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060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% 198.33/198.48 cnf(12697,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x126971),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12698,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x126981),x126981))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12705,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x127051),f337(a115,x127051)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(12707,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),f2(a1)),a84))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,4537,10464,10558,3382,3345,12591,3539,3239,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3063,3067,3068,3070,3072,3076,3077,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3733,3431,3657,3397,12604,3212,10363,10676,3213,3489,3205,3129,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3673,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,3786,11627,3309,3406,11466,11739,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,4603,11512,11543,11578,11607,3773,3540,3542,12676,12679,12682,3926,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,3484,10642,10912,10956,11222,11303,11470,11704,12335,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,11754,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,3835,3646,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,3943,11344,11679,11683,11745,12343,12351,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,12404,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,4131,3815,3759,3760,4613,10313,10316,10667,10670,11509,11684,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170])).
% 198.33/198.48 cnf(12710,plain,
% 198.33/198.48 (P24(f337(f337(f339(x127101),f337(x127102,x127103)),f337(f316(x127104,x127101,x127102),f260(f893(x127104,a878)))))),
% 198.33/198.48 inference(rename_variables,[],[3943])).
% 198.33/198.48 cnf(12711,plain,
% 198.33/198.48 (~E(f337(a115,x127111),f2(a884))),
% 198.33/198.48 inference(rename_variables,[],[4532])).
% 198.33/198.48 cnf(12713,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a1),f2(a1)),f337(f106(a1),f2(a1))))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,4537,10464,10558,3382,3345,12591,3539,3239,4532,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3063,3067,3068,3070,3072,3076,3077,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3733,3431,3657,3397,12604,3212,10363,10676,3213,3489,3205,3129,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3673,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,3786,11627,3309,3406,11466,11739,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,4603,11512,11543,11578,11607,3773,3540,3542,12676,12679,12682,3926,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,3484,10642,10912,10956,11222,11303,11470,11704,12335,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,3387,10673,10703,10712,11251,11803,12424,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,11754,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,3835,3646,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,12404,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,4131,3815,3759,3760,4613,10313,10316,10667,10670,11509,11684,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929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% 198.33/198.48 cnf(12716,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),x127161),x127161))),
% 198.33/198.48 inference(rename_variables,[],[3326])).
% 198.33/198.48 cnf(12719,plain,
% 198.33/198.48 (P24(f337(f62(a884),f310(a884,x127191,x127192)))),
% 198.33/198.48 inference(rename_variables,[],[3542])).
% 198.33/198.48 cnf(12722,plain,
% 198.33/198.48 (P24(f337(f62(a884),f310(a884,x127221,x127222)))),
% 198.33/198.48 inference(rename_variables,[],[3542])).
% 198.33/198.48 cnf(12725,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x127251),x127251))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12726,plain,
% 198.33/198.48 (~E(f337(a115,x127261),f2(a884))),
% 198.33/198.48 inference(rename_variables,[],[4532])).
% 198.33/198.48 cnf(12743,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),f45(a884,x127431,x127432)),x127431))),
% 198.33/198.48 inference(rename_variables,[],[3791])).
% 198.33/198.48 cnf(12748,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x127481),f337(a115,x127481)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(12751,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x127511),f337(a115,x127511)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(12752,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x127521),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12763,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a1),f337(f103(a1),x127631)),f2(a1)))),
% 198.33/198.48 inference(rename_variables,[],[4603])).
% 198.33/198.48 cnf(12764,plain,
% 198.33/198.48 (P24(f337(f260(f893(x127641,a878)),x127642))),
% 198.33/198.48 inference(rename_variables,[],[3387])).
% 198.33/198.48 cnf(12767,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a1),f337(f103(a1),x127671)),f2(a1)))),
% 198.33/198.48 inference(rename_variables,[],[4603])).
% 198.33/198.48 cnf(12768,plain,
% 198.33/198.48 (P24(f337(f260(f893(x127681,a878)),x127682))),
% 198.33/198.48 inference(rename_variables,[],[3387])).
% 198.33/198.48 cnf(12771,plain,
% 198.33/198.48 (P24(f337(f260(f893(x127711,a878)),x127712))),
% 198.33/198.48 inference(rename_variables,[],[3387])).
% 198.33/198.48 cnf(12782,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x127821),x127822),f197(f893(x127821,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12783,plain,
% 198.33/198.48 (P24(f337(f62(x127831),f197(f893(x127831,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3402])).
% 198.33/198.48 cnf(12785,plain,
% 198.33/198.48 (~P24(f337(f337(f251(a1),f337(f106(a1),a84)),f337(f106(a1),a100)))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2960,2972,2978,2984,2992,2993,2994,3001,3010,3031,3063,3067,3068,3070,3072,3076,3077,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3733,3431,3657,3397,12604,3212,10363,10676,3213,3489,3205,3129,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3673,3852,3899,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,3786,11627,3309,3406,11466,11739,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,4603,11512,11543,11578,11607,12763,3773,3540,3542,12676,12679,12682,12685,12719,3926,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,3327,3402,12106,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,3484,10642,10912,10956,11222,11303,11470,11704,12335,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,3420,3856,3791,10340,11630,11658,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,3816,11754,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,3835,3646,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,12404,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771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% 198.33/198.48 cnf(12792,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),f2(a884)),x127921))),
% 198.33/198.48 inference(rename_variables,[],[3347])).
% 198.33/198.48 cnf(12795,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x127951),f337(a115,x127951)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(12796,plain,
% 198.33/198.48 (~E(f337(a115,x127961),x127961)),
% 198.33/198.48 inference(rename_variables,[],[4522])).
% 198.33/198.48 cnf(12799,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x127991),x127992),f197(f893(x127991,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12802,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x128021),x128022),f197(f893(x128021,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12805,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128051),x128051))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12813,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x128131),f337(a115,x128131)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(12816,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128161),x128161))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12821,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128211),x128211))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12824,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128241),x128241))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12827,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128271),x128271))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12830,plain,
% 198.33/198.48 (E(f337(f337(f22(f893(x128301,a878)),f197(f893(x128301,a878))),x128302),f197(f893(x128301,a878)))),
% 198.33/198.48 inference(rename_variables,[],[3601])).
% 198.33/198.48 cnf(12831,plain,
% 198.33/198.48 (P24(f337(f62(x128311),f197(f893(x128311,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3402])).
% 198.33/198.48 cnf(12834,plain,
% 198.33/198.48 (E(f337(f337(f22(f893(x128341,a878)),f197(f893(x128341,a878))),x128342),f197(f893(x128341,a878)))),
% 198.33/198.48 inference(rename_variables,[],[3601])).
% 198.33/198.48 cnf(12835,plain,
% 198.33/198.48 (P24(f337(f62(x128351),f197(f893(x128351,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3402])).
% 198.33/198.48 cnf(12838,plain,
% 198.33/198.48 (E(f337(f337(f22(f893(x128381,a878)),f197(f893(x128381,a878))),x128382),f197(f893(x128381,a878)))),
% 198.33/198.48 inference(rename_variables,[],[3601])).
% 198.33/198.48 cnf(12839,plain,
% 198.33/198.48 (P24(f337(f62(x128391),f197(f893(x128391,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3402])).
% 198.33/198.48 cnf(12842,plain,
% 198.33/198.48 (E(f337(f337(f22(f893(x128421,a878)),f197(f893(x128421,a878))),x128422),f197(f893(x128421,a878)))),
% 198.33/198.48 inference(rename_variables,[],[3601])).
% 198.33/198.48 cnf(12843,plain,
% 198.33/198.48 (P24(f337(f62(x128431),f197(f893(x128431,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3402])).
% 198.33/198.48 cnf(12847,plain,
% 198.33/198.48 (E(f337(f268(x128471,x128471),f269(x128471,x128472)),x128472)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(12852,plain,
% 198.33/198.48 (E(f337(f337(f22(f893(x128521,a878)),f197(f893(x128521,a878))),x128522),f197(f893(x128521,a878)))),
% 198.33/198.48 inference(rename_variables,[],[3601])).
% 198.33/198.48 cnf(12853,plain,
% 198.33/198.48 (P24(f337(f62(x128531),f197(f893(x128531,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3402])).
% 198.33/198.48 cnf(12857,plain,
% 198.33/198.48 (P24(f337(f62(x128571),f197(f893(x128571,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3402])).
% 198.33/198.48 cnf(12860,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128601),x128601))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12864,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),x128641),x128641))),
% 198.33/198.48 inference(rename_variables,[],[3326])).
% 198.33/198.48 cnf(12873,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128731),x128731))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12884,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x128841),x128841))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12887,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),x128871),x128871))),
% 198.33/198.48 inference(rename_variables,[],[3326])).
% 198.33/198.48 cnf(12894,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x128941),x128942),f197(f893(x128941,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(12896,plain,
% 198.33/198.48 (~P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(a115,x128961)),x128962)),x128962))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2960,2963,2972,2978,2984,2992,2993,2994,3001,3010,3031,3034,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,4596,11021,11091,11314,11317,3733,3431,3657,3397,12604,3212,10363,10676,3213,3489,3205,3129,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,3786,11627,3309,3406,11466,11739,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,3926,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,4609,10797,11169,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,3347,10706,10861,10932,11659,11808,12000,12207,12229,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,3835,3646,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,12404,4124,3782,10709,11049,11197,11227,11238,12073,12347,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,62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% 198.33/198.48 cnf(12905,plain,
% 198.33/198.48 (P24(f337(f337(f339(x129051),x129052),f260(f893(x129051,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3484])).
% 198.33/198.48 cnf(12909,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x129091,a878)),x129092),f260(f893(x129091,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3715])).
% 198.33/198.48 cnf(12912,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x129121,a878)),x129122),x129122))),
% 198.33/198.48 inference(rename_variables,[],[3631])).
% 198.33/198.48 cnf(12918,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x129181),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12919,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),x129191),x129191))),
% 198.33/198.48 inference(rename_variables,[],[3326])).
% 198.33/198.48 cnf(12923,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x129231),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12924,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),x129241),x129241))),
% 198.33/198.48 inference(rename_variables,[],[3326])).
% 198.33/198.48 cnf(12929,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x129291),x129291))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12936,plain,
% 198.33/198.48 (E(f337(f337(f16(x129361,x129362),x129363),x129364),x129363)),
% 198.33/198.48 inference(rename_variables,[],[3316])).
% 198.33/198.48 cnf(12939,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x129391,a878)),f337(f175(x129391),f173(x129391,x129392,x129393))),f337(f175(x129391),x129393)))),
% 198.33/198.48 inference(rename_variables,[],[4040])).
% 198.33/198.48 cnf(12943,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x129431),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12944,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),x129441),x129441))),
% 198.33/198.48 inference(rename_variables,[],[3326])).
% 198.33/198.48 cnf(12948,plain,
% 198.33/198.48 (~P24(f337(f337(f252(a884),x129481),f2(a884)))),
% 198.33/198.48 inference(rename_variables,[],[4589])).
% 198.33/198.48 cnf(12949,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),x129491),x129491))),
% 198.33/198.48 inference(rename_variables,[],[3326])).
% 198.33/198.48 cnf(12954,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x129541),x129541))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12957,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),x129571),x129571))),
% 198.33/198.48 inference(rename_variables,[],[3325])).
% 198.33/198.48 cnf(12960,plain,
% 198.33/198.48 (~P24(f337(f337(f251(a884),f337(a115,x129601)),x129601))),
% 198.33/198.48 inference(rename_variables,[],[4595])).
% 198.33/198.48 cnf(12966,plain,
% 198.33/198.48 (P24(f337(f337(f339(x129661),f337(x129662,x129663)),f337(f316(x129664,x129661,x129662),f260(f893(x129664,a878)))))),
% 198.33/198.48 inference(rename_variables,[],[3943])).
% 198.33/198.48 cnf(12967,plain,
% 198.33/198.48 (P21(x129671,x129671,f5(x129671),x129672)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12972,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x129721,a878)),x129722),f260(f893(x129721,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3715])).
% 198.33/198.48 cnf(12973,plain,
% 198.33/198.48 (P21(x129731,x129731,f5(x129731),x129732)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12977,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x129771,a878)),x129772),f260(f893(x129771,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3715])).
% 198.33/198.48 cnf(12978,plain,
% 198.33/198.48 (P21(x129781,x129781,f5(x129781),x129782)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12982,plain,
% 198.33/198.48 (P21(x129821,x129821,f5(x129821),x129822)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12985,plain,
% 198.33/198.48 (~P24(f337(f337(f252(f893(x129851,a878)),x129852),f197(f893(x129851,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4609])).
% 198.33/198.48 cnf(12988,plain,
% 198.33/198.48 (P21(x129881,x129881,f5(x129881),x129882)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(12991,plain,
% 198.33/198.48 (P21(x129911,x129911,f5(x129911),x129912)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(13002,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x130021,a878)),f197(f893(x130021,a878))),x130022))),
% 198.33/198.48 inference(rename_variables,[],[3782])).
% 198.33/198.48 cnf(13004,plain,
% 198.33/198.48 (~E(f116(f885(x130041)),f337(f337(f136(f885(x130041)),x130042),f337(f337(f153(f885(x130041)),f116(x130041)),x130043)))),
% 198.33/198.48 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2960,2963,2972,2978,2984,2992,2993,2994,3001,3010,3031,3034,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,4554,12340,3316,11724,11727,4596,11021,11091,11314,11317,3733,3431,3657,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,3786,11627,3309,3406,11466,11739,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,3926,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,4040,11030,12114,12187,12241,12287,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,3780,10972,10978,10993,11924,12053,12135,3631,12161,12270,12279,12348,12396,12404,12513,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,587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% 198.33/198.48 cnf(13006,plain,
% 198.33/198.48 (E(f337(f268(x130061,x130061),f269(x130061,x130062)),x130062)),
% 198.33/198.48 inference(rename_variables,[],[3283])).
% 198.33/198.48 cnf(13010,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x130101),x130102),f197(f893(x130101,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(13013,plain,
% 198.33/198.48 (P24(f337(f337(f251(f893(x130131,a878)),x130132),f337(f337(f315(x130131),x130133),x130132)))),
% 198.33/198.48 inference(rename_variables,[],[3780])).
% 198.33/198.48 cnf(13014,plain,
% 198.33/198.48 (P24(f337(f337(f339(x130141),f337(x130142,x130143)),f337(f316(x130144,x130141,x130142),f260(f893(x130144,a878)))))),
% 198.33/198.48 inference(rename_variables,[],[3943])).
% 198.33/198.48 cnf(13015,plain,
% 198.33/198.48 (P21(x130151,x130151,f5(x130151),x130152)),
% 198.33/198.48 inference(rename_variables,[],[3570])).
% 198.33/198.48 cnf(13018,plain,
% 198.33/198.48 (P24(f337(f337(f339(x130181),x130182),f260(f893(x130181,a878))))),
% 198.33/198.48 inference(rename_variables,[],[3484])).
% 198.33/198.48 cnf(13025,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x130251),x130252),f197(f893(x130251,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(13028,plain,
% 198.33/198.48 (~P24(f337(f337(f339(x130281),x130282),f197(f893(x130281,a878))))),
% 198.33/198.48 inference(rename_variables,[],[4599])).
% 198.33/198.48 cnf(13032,plain,
% 198.33/198.48 (E(f337(f337(f16(x130321,x130322),x130323),x130324),x130323)),
% 198.33/198.48 inference(rename_variables,[],[3316])).
% 198.33/198.48 cnf(13035,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x130351),f337(a115,x130351)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(13036,plain,
% 198.33/198.48 (~E(f337(a115,x130361),x130361)),
% 198.33/198.48 inference(rename_variables,[],[4522])).
% 198.33/198.48 cnf(13039,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x130391),f337(a115,f337(f337(f81(a884),x130392),x130391))))),
% 198.33/198.48 inference(rename_variables,[],[3784])).
% 198.33/198.48 cnf(13040,plain,
% 198.33/198.48 (P24(f337(f337(f252(a884),x130401),f337(a115,x130401)))),
% 198.33/198.48 inference(rename_variables,[],[3394])).
% 198.33/198.48 cnf(13044,plain,
% 198.33/198.48 (~E(f337(a115,x130441),x130441)),
% 198.33/198.48 inference(rename_variables,[],[4522])).
% 198.33/198.48 cnf(13049,plain,
% 198.33/198.48 (P24(f337(f337(f251(a1),f2(a1)),f337(f103(a1),x130491)))),
% 198.33/198.48 inference(rename_variables,[],[3426])).
% 198.33/198.48 cnf(13052,plain,
% 198.33/198.48 (P24(f337(f337(f251(a884),f2(a884)),x130521))),
% 198.33/198.48 inference(rename_variables,[],[3347])).
% 198.33/198.48 cnf(13056,plain,
% 198.33/198.48 (~E(f337(a115,x130561),f2(a884))),
% 198.33/198.48 inference(rename_variables,[],[4532])).
% 198.33/198.49 cnf(13059,plain,
% 198.33/198.49 (P24(f337(f337(f251(a1),x130591),x130591))),
% 198.33/198.49 inference(rename_variables,[],[3326])).
% 198.33/198.49 cnf(13060,plain,
% 198.33/198.49 (P24(f337(f62(a1),f308(a1,x130601,x130602)))),
% 198.33/198.49 inference(rename_variables,[],[3543])).
% 198.33/198.49 cnf(13069,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x130691),x130692),f197(f893(x130691,a878))))),
% 198.33/198.49 inference(rename_variables,[],[4599])).
% 198.33/198.49 cnf(13072,plain,
% 198.33/198.49 (P24(f337(f62(a884),f310(a884,x130721,x130722)))),
% 198.33/198.49 inference(rename_variables,[],[3542])).
% 198.33/198.49 cnf(13073,plain,
% 198.33/198.49 (E(f337(f337(f250(a884),f337(a115,x130731)),f337(a115,x130732)),f337(a115,f337(f337(f250(a884),x130731),x130732)))),
% 198.33/198.49 inference(rename_variables,[],[3502])).
% 198.33/198.49 cnf(13076,plain,
% 198.33/198.49 (P24(f337(f62(a884),f310(a884,x130761,x130762)))),
% 198.33/198.49 inference(rename_variables,[],[3542])).
% 198.33/198.49 cnf(13077,plain,
% 198.33/198.49 (E(f337(f337(f249(a884),f337(a115,x130771)),f337(a115,x130772)),f337(a115,f337(f337(f249(a884),x130771),x130772)))),
% 198.33/198.49 inference(rename_variables,[],[3501])).
% 198.33/198.49 cnf(13080,plain,
% 198.33/198.49 (P24(f337(f62(a884),f310(a884,x130801,x130802)))),
% 198.33/198.49 inference(rename_variables,[],[3542])).
% 198.33/198.49 cnf(13084,plain,
% 198.33/198.49 (P24(f337(f62(a884),f310(a884,x130841,x130842)))),
% 198.33/198.49 inference(rename_variables,[],[3542])).
% 198.33/198.49 cnf(13089,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x130891),x130892),f197(f893(x130891,a878))))),
% 198.33/198.49 inference(rename_variables,[],[4599])).
% 198.33/198.49 cnf(13090,plain,
% 198.33/198.49 (E(f337(f337(f16(x130901,x130902),x130903),x130904),x130903)),
% 198.33/198.49 inference(rename_variables,[],[3316])).
% 198.33/198.49 cnf(13093,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x130931,a878)),f337(f175(x130931),f337(f138(x130931,x130932),x130933))),f337(f175(x130931),x130933)))),
% 198.33/198.49 inference(rename_variables,[],[3989])).
% 198.33/198.49 cnf(13094,plain,
% 198.33/198.49 (E(f337(f337(f16(x130941,x130942),x130943),x130944),x130943)),
% 198.33/198.49 inference(rename_variables,[],[3316])).
% 198.33/198.49 cnf(13097,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x130971,a878)),f337(f175(x130971),f337(f337(f178(x130971),x130972),x130973))),f337(f175(x130971),x130973)))),
% 198.33/198.49 inference(rename_variables,[],[4034])).
% 198.33/198.49 cnf(13098,plain,
% 198.33/198.49 (E(f337(f337(f16(x130981,x130982),x130983),x130984),x130983)),
% 198.33/198.49 inference(rename_variables,[],[3316])).
% 198.33/198.49 cnf(13102,plain,
% 198.33/198.49 (E(f337(f337(f16(x131021,x131022),x131023),x131024),x131023)),
% 198.33/198.49 inference(rename_variables,[],[3316])).
% 198.33/198.49 cnf(13115,plain,
% 198.33/198.49 (P24(f337(f337(f251(a1),f2(a1)),f337(f103(a1),x131151)))),
% 198.33/198.49 inference(rename_variables,[],[3426])).
% 198.33/198.49 cnf(13118,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x131181),x131182),f197(f893(x131181,a878))))),
% 198.33/198.49 inference(rename_variables,[],[4599])).
% 198.33/198.49 cnf(13121,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x131211),x131212),f197(f893(x131211,a878))))),
% 198.33/198.49 inference(rename_variables,[],[4599])).
% 198.33/198.49 cnf(13122,plain,
% 198.33/198.49 (E(f337(f268(x131221,x131221),f269(x131221,x131222)),x131222)),
% 198.33/198.49 inference(rename_variables,[],[3283])).
% 198.33/198.49 cnf(13123,plain,
% 198.33/198.49 (P21(x131231,x131231,f5(x131231),x131232)),
% 198.33/198.49 inference(rename_variables,[],[3570])).
% 198.33/198.49 cnf(13127,plain,
% 198.33/198.49 (E(f337(f268(x131271,x131271),f269(x131271,x131272)),x131272)),
% 198.33/198.49 inference(rename_variables,[],[3283])).
% 198.33/198.49 cnf(13128,plain,
% 198.33/198.49 (P21(x131281,x131281,f5(x131281),x131282)),
% 198.33/198.49 inference(rename_variables,[],[3570])).
% 198.33/198.49 cnf(13132,plain,
% 198.33/198.49 (P24(f337(f337(f252(f893(a1,a878)),f308(a1,f79(a1),f2(a1))),f308(a1,f2(a1),f79(a1))))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2960,2963,2972,2978,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,3786,11627,3309,3406,11466,11739,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,3543,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,54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,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453])).
% 198.33/198.49 cnf(13141,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),f2(a884)),x131411))),
% 198.33/198.49 inference(rename_variables,[],[3347])).
% 198.33/198.49 cnf(13142,plain,
% 198.33/198.49 (P24(f337(f337(f252(a884),f2(a884)),f337(a115,x131421)))),
% 198.33/198.49 inference(rename_variables,[],[3406])).
% 198.33/198.49 cnf(13143,plain,
% 198.33/198.49 (E(f337(f268(x131431,x131431),f269(x131431,x131432)),x131432)),
% 198.33/198.49 inference(rename_variables,[],[3283])).
% 198.33/198.49 cnf(13212,plain,
% 198.33/198.49 (~P24(f337(f337(f252(a1),f2(a1)),f2(a1)))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,13056,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2955,2960,2963,2972,2978,2982,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,13127,13143,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,3512,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,13040,3786,11627,3309,3406,11466,11739,12639,13142,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,12948,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,3543,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,4041,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,13059,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,13115,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,13052,13141,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,13039,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170,6175,6324,6329,6364,6365,6385,6388,6390,6397,6398,6399,6400,6401,6402,6403,6404,6484,6553,6554,6563,6642,6675,6676,6716,6717,6855,6870,6943,6944,6951,6971,6994,7002,7004,7051,7075,7076,7094,7095,7131,7175,7176,7274,7338,7339,7340,7341,7355,7388,7441,7442,7451,7459,7460,7472,7504,7505,7506,7507,7652,7653,7655,7657,7663,7664,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453,8454,8892,8910,9836,10187,4703,4705,4706,4762,4766,4770,4908,4924,4925,4953,4954,4985,5040,5103,5239,5276,5278,5287,5288,5314,5389,5410,5544,5612,5613,5614,5731])).
% 198.33/198.49 cnf(13214,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),f2(a1)),f337(f76(a1),f79(a1))))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,13056,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2955,2960,2963,2972,2978,2982,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,13127,13143,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,3512,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,13040,3786,11627,3309,3406,11466,11739,12639,13142,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,12948,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,3543,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,4041,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,13059,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,13115,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,13052,13141,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,13039,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170,6175,6324,6329,6364,6365,6385,6388,6390,6397,6398,6399,6400,6401,6402,6403,6404,6484,6553,6554,6563,6642,6675,6676,6716,6717,6855,6870,6943,6944,6951,6971,6994,7002,7004,7051,7075,7076,7094,7095,7131,7175,7176,7274,7338,7339,7340,7341,7355,7388,7441,7442,7451,7459,7460,7472,7504,7505,7506,7507,7652,7653,7655,7657,7663,7664,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453,8454,8892,8910,9836,10187,4703,4705,4706,4762,4766,4770,4908,4924,4925,4953,4954,4985,5040,5103,5239,5276,5278,5287,5288,5314,5389,5410,5544,5612,5613,5614,5731,5732])).
% 198.33/198.49 cnf(13232,plain,
% 198.33/198.49 (~E(f337(f191(x132321,f893(x132322,a878),x132323,f197(f893(x132321,a878))),x132324),f337(f209(f893(x132322,a878)),f337(f337(f42(f45(a1,x132325,x132325),f893(x132322,a878)),x132326),a115)))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,13056,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2955,2960,2963,2972,2978,2982,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,13127,13143,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,3512,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,13040,3786,11627,3309,3406,11466,11739,12639,13142,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,12948,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,3543,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,4041,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,13059,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,13115,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,13052,13141,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,13039,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170,6175,6324,6329,6364,6365,6385,6388,6390,6397,6398,6399,6400,6401,6402,6403,6404,6484,6553,6554,6563,6642,6675,6676,6716,6717,6855,6870,6943,6944,6951,6971,6994,7002,7004,7051,7075,7076,7094,7095,7131,7175,7176,7274,7338,7339,7340,7341,7355,7388,7441,7442,7451,7459,7460,7472,7504,7505,7506,7507,7652,7653,7655,7657,7663,7664,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453,8454,8892,8910,9836,10187,4703,4705,4706,4762,4766,4770,4908,4924,4925,4953,4954,4985,5040,5103,5239,5276,5278,5287,5288,5314,5389,5410,5544,5612,5613,5614,5731,5732,5758,5762,5822,5824,5833,5839,5912,5991,6116])).
% 198.33/198.49 cnf(13236,plain,
% 198.33/198.49 (~P24(f337(f62(x132361),f40(f893(x132361,a878),f260(f893(f893(x132361,a878),a878)))))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,13056,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2955,2960,2963,2972,2978,2982,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,13127,13143,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,3512,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,13040,3786,11627,3309,3406,11466,11739,12639,13142,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,12948,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,3543,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,4041,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,13059,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,13115,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,13052,13141,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,13039,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170,6175,6324,6329,6364,6365,6385,6388,6390,6397,6398,6399,6400,6401,6402,6403,6404,6484,6553,6554,6563,6642,6675,6676,6716,6717,6855,6870,6943,6944,6951,6971,6994,7002,7004,7051,7075,7076,7094,7095,7131,7175,7176,7274,7338,7339,7340,7341,7355,7388,7441,7442,7451,7459,7460,7472,7504,7505,7506,7507,7652,7653,7655,7657,7663,7664,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453,8454,8892,8910,9836,10187,4703,4705,4706,4762,4766,4770,4908,4924,4925,4953,4954,4985,5040,5103,5239,5276,5278,5287,5288,5314,5389,5410,5544,5612,5613,5614,5731,5732,5758,5762,5822,5824,5833,5839,5912,5991,6116,6142,6311])).
% 198.33/198.49 cnf(13275,plain,
% 198.33/198.49 (~E(f337(a115,x132751),x132751)),
% 198.33/198.49 inference(rename_variables,[],[4522])).
% 198.33/198.49 cnf(13285,plain,
% 198.33/198.49 (~P24(f337(f337(f251(a884),f337(a115,f337(f144(a884,a884,f81(a884),f2(a884)),f172(a884,f337(a115,f2(a884)),f337(a115,f2(a884)))))),f337(a115,f2(a884))))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,13044,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,13056,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2955,2960,2963,2972,2978,2982,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,13127,13143,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3700,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,3512,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,13040,3786,11627,3309,3406,11466,11739,12639,13142,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,12948,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,13084,3543,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,4041,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,13059,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,13115,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,13052,13141,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,13039,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170,6175,6324,6329,6364,6365,6385,6388,6390,6397,6398,6399,6400,6401,6402,6403,6404,6484,6553,6554,6563,6642,6675,6676,6716,6717,6855,6870,6943,6944,6951,6971,6994,7002,7004,7051,7075,7076,7094,7095,7131,7175,7176,7274,7338,7339,7340,7341,7355,7388,7441,7442,7451,7459,7460,7472,7504,7505,7506,7507,7652,7653,7655,7657,7663,7664,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453,8454,8892,8910,9836,10187,4703,4705,4706,4762,4766,4770,4908,4924,4925,4953,4954,4985,5040,5103,5239,5276,5278,5287,5288,5314,5389,5410,5544,5612,5613,5614,5731,5732,5758,5762,5822,5824,5833,5839,5912,5991,6116,6142,6311,6430,6588,6789,6790,7046,7217,7443,7512,7850,7852,7944,8098,8850,8996,9098,9324,9596,4889,4938,4987,5128,5724,5964])).
% 198.33/198.49 cnf(13297,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),f337(f337(f81(a884),f2(a884)),x132971)),x132971))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,13044,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,13056,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2955,2960,2963,2972,2978,2982,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,13127,13143,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3217,3700,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,3512,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,13040,3786,11627,3309,3406,11466,11739,12639,13142,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,12948,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,13084,3543,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,4041,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,13059,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,13115,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,13052,13141,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,13039,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170,6175,6324,6329,6364,6365,6385,6388,6390,6397,6398,6399,6400,6401,6402,6403,6404,6484,6553,6554,6563,6642,6675,6676,6716,6717,6855,6870,6943,6944,6951,6971,6994,7002,7004,7051,7075,7076,7094,7095,7131,7175,7176,7274,7338,7339,7340,7341,7355,7388,7441,7442,7451,7459,7460,7472,7504,7505,7506,7507,7652,7653,7655,7657,7663,7664,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453,8454,8892,8910,9836,10187,4703,4705,4706,4762,4766,4770,4908,4924,4925,4953,4954,4985,5040,5103,5239,5276,5278,5287,5288,5314,5389,5410,5544,5612,5613,5614,5731,5732,5758,5762,5822,5824,5833,5839,5912,5991,6116,6142,6311,6430,6588,6789,6790,7046,7217,7443,7512,7850,7852,7944,8098,8850,8996,9098,9324,9596,4889,4938,4987,5128,5724,5964,6038,6057,6068,6089,6103,6363])).
% 198.33/198.49 cnf(13315,plain,
% 198.33/198.49 (P21(x133151,x133151,f5(x133151),x133152)),
% 198.33/198.49 inference(rename_variables,[],[3570])).
% 198.33/198.49 cnf(13317,plain,
% 198.33/198.49 (P24(f337(f337(f252(f893(a1,a878)),f337(f316(a1,a1,f5(a1)),f308(a1,f79(a1),f2(a1)))),f337(f316(a1,a1,f5(a1)),f308(a1,f2(a1),f79(a1)))))),
% 198.33/198.49 inference(scs_inference,[],[4627,3570,11086,12117,12217,12308,12344,12352,12417,12580,12582,12967,12973,12978,12982,12988,12991,13015,13123,13128,13315,3579,12181,12619,12621,3580,12248,3293,12574,12576,3294,12608,3258,12490,4557,4558,11701,4296,12625,12628,3297,12549,3128,3190,12531,4556,3633,4522,10231,10241,10254,10265,10268,10371,10374,10377,10480,10597,10907,11071,11074,11268,11358,11365,11379,11431,11434,11467,11482,11548,11594,11610,11903,11928,11940,11969,11975,12070,12177,12184,12336,12387,12522,12640,12796,13036,13044,13275,4537,10464,10558,3382,3345,12591,3539,3239,4532,12711,12726,13056,2906,2907,2915,2916,2920,2921,2923,2924,2925,2927,2928,2931,2932,2936,2937,2942,2943,2944,2945,2952,2953,2954,2955,2960,2963,2972,2978,2982,2984,2989,2992,2993,2994,3001,3010,3018,3031,3034,3035,3038,3039,3040,3049,3063,3067,3068,3070,3071,3072,3076,3077,3078,3087,3094,4517,3107,3189,4518,3670,3904,11641,3160,11355,3307,3280,3283,10234,10303,10306,10398,10401,10700,11370,11373,11493,11535,11540,11636,12091,12284,12470,12524,12526,12556,12558,12560,12562,12564,12572,12589,12632,12847,13006,13122,13127,13143,3917,3253,12365,12369,12373,3259,3268,3794,4113,3393,12420,12493,3149,3150,4534,3533,3889,11405,3381,12543,3215,3217,3700,3181,3708,12537,3176,4011,3198,3713,4501,3158,3159,3138,3164,3806,3197,3383,10854,12178,3251,3252,3278,3430,4608,10434,3976,4547,10294,10461,11265,12332,12366,12370,4554,12340,3316,11724,11727,12936,13032,13090,13094,13098,13102,4596,11021,11091,11314,11317,3733,3313,3431,3657,3423,3397,12604,3212,10363,10676,3213,4583,3489,3205,3129,3321,3235,11395,4126,12355,12482,3978,11027,11153,11200,12316,12322,12431,12434,12457,4620,10959,11158,11259,11284,11322,11328,12264,4621,11060,11161,11262,4622,11164,11211,4623,11214,4624,3234,3530,12220,12261,12339,3696,4413,4414,3512,4545,11386,3635,3673,3852,3601,12830,12834,12838,12842,12852,3899,12214,3515,3775,3394,10382,10500,10572,10636,10639,10679,10773,11011,11899,11962,12041,12082,12155,12158,12461,12646,12705,12748,12751,12795,12813,13035,13040,3786,11627,3309,3406,11466,11739,12639,13142,3595,4589,10271,10274,10300,10781,10794,10917,11306,11398,11791,11796,12017,12020,12103,12267,12359,12651,12670,12673,12697,12752,12918,12923,12943,12948,4603,11512,11543,11578,11607,12763,12767,3773,3540,3542,12676,12679,12682,12685,12719,12722,13072,13076,13080,13084,3543,13060,3926,3501,13077,3502,13073,3353,3355,3328,4586,3211,4542,3724,4266,4046,3522,4604,4120,11279,3656,3366,11748,11751,12188,12288,12441,4594,10259,10262,10429,10521,10540,10547,10567,10575,10578,10586,10766,10998,11460,11557,11692,11708,11812,11815,4087,4045,11892,12235,3989,10851,12076,12242,12464,13093,4034,13097,4040,11030,12114,12187,12241,12287,12939,4041,3697,11902,12048,12122,12168,4076,3715,11033,11096,11177,11233,12069,12136,12382,12454,12467,12909,12972,12977,4609,10797,11169,12245,12985,3325,10391,10487,10622,10686,10755,10800,10803,10836,10864,10901,10939,10975,11695,11742,11872,11927,11943,11946,11949,11952,12129,12143,12146,12149,12152,12228,12291,12393,12437,12698,12725,12805,12816,12821,12824,12827,12860,12873,12884,12929,12954,12957,3326,10420,10475,10691,10776,10904,11485,11776,11779,11788,11878,11889,11908,11913,11955,11978,11995,12716,12864,12887,12919,12924,12944,12949,13059,3327,3402,12106,12783,12831,12835,12839,12843,12853,12857,4585,10337,10818,10867,10877,11655,11676,11846,11849,11852,11855,11939,11958,11961,11974,12029,12032,12035,12038,12199,12202,12294,12297,12386,12423,12502,3484,10642,10912,10956,11222,11303,11470,11704,12335,12505,12905,13018,4599,10827,10839,10948,10966,10969,11024,11110,11118,11134,11172,11186,11194,11230,11271,11276,11294,11297,11300,11331,11338,11341,11721,11757,12023,12026,12060,12107,12132,12273,12313,12319,12405,12408,12427,12481,12487,12496,12516,12782,12799,12802,12894,13010,13025,13028,13069,13089,13118,13121,3387,10673,10703,10712,11251,11803,12424,12438,12764,12768,12771,3426,13049,13115,3420,3856,3791,10340,11630,11658,12743,4595,10291,10661,10664,11113,11131,11593,11646,11680,11705,11809,11834,11837,11840,11843,12102,12960,3347,10706,10861,10932,11659,11808,12000,12207,12229,12792,13052,13141,3816,11754,12692,4170,4386,3546,4592,3827,3864,4575,4578,4579,3300,3304,4577,4597,4576,4580,4349,3835,3646,11623,4272,11492,4611,10581,10870,4618,11189,11311,11347,4053,12256,3943,11344,11679,11683,11745,12343,12351,12430,12710,12966,13014,3780,10972,10978,10993,11924,12053,12135,12401,13013,3631,12161,12270,12279,12348,12396,12404,12513,12912,4124,3782,10709,11049,11197,11227,11238,12073,12347,12390,13002,3596,10625,10628,10715,10888,3598,4615,11624,4605,4610,12660,4616,11498,12223,12232,12276,12451,4232,10842,12253,4131,3815,12519,3759,3760,4613,10313,10316,10667,10670,11509,11684,12460,4614,11604,11689,3784,10631,10894,13039,4060,4636,4662,4711,4713,4744,4761,4768,4769,4805,4810,4840,4846,4930,4955,4956,4971,4993,5018,5019,5041,5042,5055,5059,5082,5089,5107,5110,5111,5112,5117,5118,5140,5165,5166,5176,5181,5187,5231,5232,5240,5250,5254,5256,5267,5269,5275,5279,5280,5295,5302,5305,5306,5307,5311,5347,5360,5368,5370,5371,5375,5376,5377,5385,5388,5392,5393,5394,5401,5405,5406,5407,5415,5419,5420,5421,5426,5439,5448,5460,5462,5470,5471,5475,5479,5504,5510,5520,5521,5536,5548,5570,5576,5594,5595,5598,5617,5625,5626,5631,5632,5642,5644,5656,5660,5669,5670,5672,5687,5692,5702,5703,5715,5722,5736,5740,5743,5749,5750,5751,5754,5759,5797,5798,5801,5803,5806,5807,5808,5810,5812,5814,5819,5826,5841,5855,5860,5861,5864,5875,5876,5881,5885,5887,5892,5933,5945,5954,5958,5969,5973,5974,5975,5983,5996,6002,6020,6023,6032,6060,6074,6099,6119,6120,6123,6137,6139,6141,6143,6156,6157,6160,6162,6165,6166,6178,6186,6187,6188,6190,6192,6235,6236,6241,6244,6250,6254,6290,6292,6294,6296,6305,6307,6309,6315,6317,6322,6325,6333,6340,6341,6342,6347,6369,6370,6371,6373,6379,6384,6418,6419,6422,6423,6424,6426,6427,6428,6429,6436,6469,6470,6479,6501,6502,6522,6525,6536,6537,6543,6575,6577,6591,6629,6631,6632,6685,6709,6751,6771,6780,6781,6782,6783,6802,6803,6809,6822,6825,6827,6829,6830,6831,6833,6847,6858,6860,6861,6874,6878,6929,6940,6942,6946,6963,6964,6998,7005,7010,7041,7060,7074,7129,7157,7212,7234,7243,7246,7301,7311,7370,7372,7387,7397,7398,7399,7415,7421,7423,7473,7483,7486,7502,7553,7555,7558,7602,7603,7621,7689,7708,7731,7754,7769,7783,7794,7803,7804,7831,7834,7836,7845,7881,7892,7917,7974,8008,8042,8081,8097,8113,8114,8187,8240,8259,8283,8303,8328,8424,8426,8432,8446,8450,8465,8487,8495,8497,8508,8514,8518,8538,8552,8553,8569,8570,8575,8576,8577,8578,8579,8597,8598,8599,8607,8621,8623,8635,8639,8641,8642,8643,8651,8656,8682,8683,8715,8728,8732,8750,8772,8773,8774,8775,8787,8788,8810,8820,8830,8831,8832,8833,8835,8856,8857,8868,8912,8918,8925,8937,8942,8944,8946,8947,8951,8961,9034,9065,9066,9067,9081,9099,9104,9132,9133,9179,9203,9248,9249,9250,9259,9287,9301,9304,9307,9327,9328,9356,9417,9454,9455,9456,9482,9483,9501,9520,9526,9537,9560,9582,9590,9591,9592,9593,9608,9610,9615,9646,9647,9653,9654,9698,9699,9708,9731,9740,9750,9752,9753,9762,9776,9779,9807,9841,9843,9847,9902,9943,9944,9946,9956,9957,9977,9982,10023,10074,10147,10148,10203,10217,2,8,9,4649,4650,4668,4699,4700,4702,4730,4736,4737,4748,4797,4799,4831,4845,4874,4972,4973,4986,5006,5062,5063,5066,5067,5069,5071,5072,5081,5085,5086,5096,5108,5109,5115,5135,5136,5153,5158,5159,5160,5161,5164,5172,5175,5182,5246,5252,5253,5258,5261,5292,5303,5309,5325,5345,5346,5353,5354,5355,5364,5374,5381,5383,5384,5390,5397,5398,5411,5412,5413,5414,5416,5417,5422,5423,5424,5425,5456,5457,5458,5466,5467,5468,5469,5512,5517,5519,5555,5557,5558,5560,5561,5563,5564,5566,5575,5580,5582,5583,5584,5585,5586,5587,5596,5606,5609,5620,5636,5637,5640,5650,5652,5653,5654,5679,5689,5705,5706,5716,5717,5719,5721,5726,5761,5766,5768,5828,5862,5863,5868,5874,5877,5878,5879,5880,5897,5900,5901,5909,5930,5961,5978,5981,5982,5984,5993,6010,6014,6017,6018,6019,6034,6044,6045,6076,6077,6081,6101,6104,6108,6127,6132,6133,6158,6161,6169,6177,6185,6189,6196,6197,6198,6199,6238,6255,6308,6343,6345,6366,6367,6372,6376,6377,6380,6386,6395,6410,6431,6432,6437,6447,6462,6482,6489,6491,6506,6507,6510,6511,6513,6515,6516,6517,6519,6521,6524,6529,6530,6532,6533,6539,6541,6585,6590,6605,6607,6608,6609,6643,6648,6650,6655,6656,6664,6668,6680,6704,6705,6707,6708,6719,6725,6742,6745,6764,6797,6798,6799,6804,6818,6837,6839,6841,6843,6848,6854,6856,6871,6876,6879,6915,6916,6917,6931,6932,6934,6935,6954,6956,6970,6996,7018,7029,7031,7033,7035,7036,7037,7071,7072,7077,7078,7085,7086,7088,7090,7110,7119,7120,7132,7142,7181,7191,7195,7202,7213,7219,7221,7228,7236,7237,7250,7267,7285,7287,7304,7356,7357,7358,7360,7362,7366,7371,7436,7469,7484,7501,7533,7536,7562,7586,7604,7607,7608,7618,7638,7640,7642,7644,7645,7646,7671,7697,7698,7730,7732,7733,7734,7739,7761,7770,7780,7785,7791,7793,7799,7811,7812,7814,7837,7843,7864,7930,7931,7977,7985,7986,8011,8012,8029,8030,8088,8089,8116,8144,8155,8157,8166,8178,8209,8215,8222,8235,8254,8260,8282,8326,8354,8366,8384,8387,8417,8440,8498,8499,8502,8503,8601,8602,8603,8604,8630,8659,8686,8731,8749,8804,8849,8852,8865,8872,8909,8957,8958,8973,8974,9106,9110,9130,9143,9166,9168,9171,9175,9177,9178,9189,9190,9210,9216,9228,9272,9291,9340,9341,9348,9410,9414,9451,9460,9463,9466,9467,9481,9497,9506,9519,9527,9528,9530,9532,9558,9681,9726,9727,9769,9814,9929,9986,10051,10124,10139,10144,3,2653,2654,2655,2656,2657,2665,2666,2672,2676,2677,2678,2679,2680,2681,2682,2684,2685,2686,2687,2691,2696,2697,2698,2700,2704,2706,2708,2709,2711,2712,2714,2720,2721,2722,2726,2727,2728,2729,2731,2747,2751,2752,2754,2755,2756,2785,2786,2787,2788,2790,2793,2794,2805,2806,2807,2821,2822,2828,2833,2835,2836,2844,2847,2848,2849,2850,2869,2871,2886,2895,5284,5344,5442,5528,5529,5530,5607,5704,5735,5769,5785,5787,5793,5856,5857,5858,5859,5866,5899,6029,6066,6075,6098,6135,6170,6175,6324,6329,6364,6365,6385,6388,6390,6397,6398,6399,6400,6401,6402,6403,6404,6484,6553,6554,6563,6642,6675,6676,6716,6717,6855,6870,6943,6944,6951,6971,6994,7002,7004,7051,7075,7076,7094,7095,7131,7175,7176,7274,7338,7339,7340,7341,7355,7388,7441,7442,7451,7459,7460,7472,7504,7505,7506,7507,7652,7653,7655,7657,7663,7664,7872,7878,7879,7889,7928,8006,8047,8100,8121,8122,8194,8296,8364,8365,8367,8402,8461,8462,8527,8545,8546,8547,8548,8690,8927,8928,8999,9014,9068,9069,9186,9220,9243,9273,9312,9504,9763,9955,10011,10013,6093,6467,6468,6556,6578,6579,6993,7211,8349,8616,8649,8843,9025,9026,9095,9096,9269,9358,9359,9360,9361,9561,9835,10133,10188,10189,6538,8453,8454,8892,8910,9836,10187,4703,4705,4706,4762,4766,4770,4908,4924,4925,4953,4954,4985,5040,5103,5239,5276,5278,5287,5288,5314,5389,5410,5544,5612,5613,5614,5731,5732,5758,5762,5822,5824,5833,5839,5912,5991,6116,6142,6311,6430,6588,6789,6790,7046,7217,7443,7512,7850,7852,7944,8098,8850,8996,9098,9324,9596,4889,4938,4987,5128,5724,5964,6038,6057,6068,6089,6103,6363,7192,7402,7470,7902,7941,8458,8929])).
% 198.33/198.49 cnf(13362,plain,
% 198.33/198.49 (~P24(f337(f337(f339(a884),f337(a115,f337(f144(a884,a884,f81(a884),f2(a884)),x133621))),f337(f175(a884),x133621)))),
% 198.33/198.49 inference(rename_variables,[],[11130])).
% 198.33/198.49 cnf(13365,plain,
% 198.33/198.49 (~E(x133651,f337(a115,x133651))),
% 198.33/198.49 inference(rename_variables,[],[10323])).
% 198.33/198.49 cnf(13368,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x133681),x133682),f189(x133683,x133681,f191(x133683,x133681,x133684,f197(f893(x133683,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13378,plain,
% 198.33/198.49 (E(f337(x133781,f664(f337(x133781,x133782),f337(f209(x133783),x133782),x133781,x133784,x133783)),f337(x133781,x133782))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13383,plain,
% 198.33/198.49 (E(f337(x133831,f664(f337(x133831,x133832),f337(f209(x133833),x133832),x133831,x133834,x133833)),f337(x133831,x133832))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13388,plain,
% 198.33/198.49 (E(f337(x133881,f664(f337(x133881,x133882),f337(f209(x133883),x133882),x133881,x133884,x133883)),f337(x133881,x133882))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13391,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),x133911),f337(f337(f81(a1),x133911),f79(a1))))),
% 198.33/198.49 inference(rename_variables,[],[10903])).
% 198.33/198.49 cnf(13394,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),x133941),f337(f337(f81(a1),x133941),f79(a1))))),
% 198.33/198.49 inference(rename_variables,[],[10903])).
% 198.33/198.49 cnf(13399,plain,
% 198.33/198.49 (~P24(f337(f337(f252(a884),x133991),f337(f198(f885(x133992)),f116(x133992))))),
% 198.33/198.49 inference(rename_variables,[],[12480])).
% 198.33/198.49 cnf(13415,plain,
% 198.33/198.49 (E(f337(x134151,f664(f337(x134151,x134152),f337(f209(x134153),x134152),x134151,x134154,x134153)),f337(x134151,x134152))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13434,plain,
% 198.33/198.49 (E(f337(x134341,f664(f337(x134341,x134342),f337(f209(x134343),x134342),x134341,x134344,x134343)),f337(x134341,x134342))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13437,plain,
% 198.33/198.49 (E(f337(x134371,f664(f337(x134371,x134372),f337(f209(x134373),x134372),x134371,x134374,x134373)),f337(x134371,x134372))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13440,plain,
% 198.33/198.49 (E(f337(x134401,f664(f337(x134401,x134402),f337(f209(x134403),x134402),x134401,x134404,x134403)),f337(x134401,x134402))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13443,plain,
% 198.33/198.49 (E(f337(x134431,f664(f337(x134431,x134432),f337(f209(x134433),x134432),x134431,x134434,x134433)),f337(x134431,x134432))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13446,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x134461),x134462),f189(x134463,x134461,f191(x134463,x134461,x134464,f197(f893(x134463,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13449,plain,
% 198.33/198.49 (E(f337(x134491,f664(f337(x134491,x134492),f337(f209(x134493),x134492),x134491,x134494,x134493)),f337(x134491,x134492))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13455,plain,
% 198.33/198.49 (E(f337(x134551,f664(f337(x134551,x134552),f337(f209(x134553),x134552),x134551,x134554,x134553)),f337(x134551,x134552))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13458,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x134581),x134582),f189(x134583,x134581,f191(x134583,x134581,x134584,f197(f893(x134583,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13461,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x134611),x134612),f189(x134613,x134611,f191(x134613,x134611,x134614,f197(f893(x134613,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13464,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x134641),x134642),f189(x134643,x134641,f191(x134643,x134641,x134644,f197(f893(x134643,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13467,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x134671),x134672),f189(x134673,x134671,f191(x134673,x134671,x134674,f197(f893(x134673,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13470,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x134701),x134702),f189(x134703,x134701,f191(x134703,x134701,x134704,f197(f893(x134703,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13473,plain,
% 198.33/198.49 (E(f337(x134731,f664(f337(x134731,x134732),f337(f209(x134733),x134732),x134731,x134734,x134733)),f337(x134731,x134732))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13478,plain,
% 198.33/198.49 (~P24(f337(f337(f68(f885(x134781),f885(x134781),f147(x134781,x134782)),x134783),f116(x134781)))),
% 198.33/198.49 inference(rename_variables,[],[11057])).
% 198.33/198.49 cnf(13481,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x134811),x134812),f189(x134813,x134811,f191(x134813,x134811,x134814,f197(f893(x134813,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13484,plain,
% 198.33/198.49 (P24(f337(f337(f251(a1),f45(a884,x134841,f197(a884))),x134841))),
% 198.33/198.49 inference(rename_variables,[],[11775])).
% 198.33/198.49 cnf(13492,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x134921),f885(x134921))),f337(f337(f272(f885(x134921),f885(x134921)),x134922),f116(x134921))),f337(f292(f885(x134921),f885(x134921)),f159(x134921,x134923))))),
% 198.33/198.49 inference(rename_variables,[],[11210])).
% 198.33/198.49 cnf(13495,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),f337(f337(f22(a1),x134951),f79(a1))),x134951))),
% 198.33/198.49 inference(rename_variables,[],[10775])).
% 198.33/198.49 cnf(13498,plain,
% 198.33/198.49 (P24(f337(f337(f251(a1),f45(a884,x134981,f197(a884))),x134981))),
% 198.33/198.49 inference(rename_variables,[],[11775])).
% 198.33/198.49 cnf(13505,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),x135051),f337(f337(f81(a884),x135052),x135051)))),
% 198.33/198.49 inference(rename_variables,[],[3597])).
% 198.33/198.49 cnf(13515,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x135151,a878)),f337(f291(x135152,x135151,f197(f893(f892(x135152,x135151),a878))),x135153)),x135154))),
% 198.33/198.49 inference(rename_variables,[],[11196])).
% 198.33/198.49 cnf(13524,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x135241,x135242,x135243,f260(f893(a884,a878))),x135244))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13527,plain,
% 198.33/198.49 (P24(f337(f337(f251(a1),f45(a884,x135271,f197(a884))),x135271))),
% 198.33/198.49 inference(rename_variables,[],[11775])).
% 198.33/198.49 cnf(13538,plain,
% 198.33/198.49 (E(f337(f337(f81(a884),x135381),f723(x135381,x135381)),x135381)),
% 198.33/198.49 inference(rename_variables,[],[10438])).
% 198.33/198.49 cnf(13541,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x135411),x135412),f189(x135413,x135411,f191(x135413,x135411,x135414,f197(f893(x135413,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13556,plain,
% 198.33/198.49 (~P24(f337(f337(f252(a884),f337(f337(f113(a884),x135561),x135562)),x135562))),
% 198.33/198.49 inference(rename_variables,[],[11845])).
% 198.33/198.49 cnf(13561,plain,
% 198.33/198.49 (~E(x135611,f337(f337(f153(x135612),x135613),x135611))),
% 198.33/198.49 inference(rename_variables,[],[10900])).
% 198.33/198.49 cnf(13564,plain,
% 198.33/198.49 (~E(f337(f74(x135641,x135642,x135643,a115),x135644),x135644)),
% 198.33/198.49 inference(rename_variables,[],[10906])).
% 198.33/198.49 cnf(13571,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x135711),x135712),f189(x135713,x135711,f191(x135713,x135711,x135714,f197(f893(x135713,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13574,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x135741,x135742,x135743,f260(f893(a884,a878))),x135744))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13579,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x135791,a878)),f337(f337(f22(f893(x135791,a878)),x135792),x135793)),x135792))),
% 198.33/198.49 inference(rename_variables,[],[4059])).
% 198.33/198.49 cnf(13590,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x135901),f885(x135901))),f337(f337(f272(f885(x135901),f885(x135901)),x135902),x135903)),f159(x135901,f155(x135901,f116(f893(x135901,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11310])).
% 198.33/198.49 cnf(13609,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x136091,a878)),f337(f337(f22(f893(x136091,a878)),x136092),x136093)),x136092))),
% 198.33/198.49 inference(rename_variables,[],[4059])).
% 198.33/198.49 cnf(13612,plain,
% 198.33/198.49 (E(f337(x136121,f664(f337(x136121,x136122),f337(f209(x136123),x136122),x136121,x136124,x136123)),f337(x136121,x136122))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13617,plain,
% 198.33/198.49 (E(f337(x136171,f664(f337(x136171,x136172),f337(f209(x136173),x136172),x136171,x136174,x136173)),f337(x136171,x136172))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13620,plain,
% 198.33/198.49 (P24(f337(f337(f92(a1),x136201),x136201))),
% 198.33/198.49 inference(rename_variables,[],[3327])).
% 198.33/198.49 cnf(13625,plain,
% 198.33/198.49 (P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x136251),f197(f893(f892(a884,a884),a878)))),a72))),
% 198.33/198.49 inference(rename_variables,[],[4328])).
% 198.33/198.49 cnf(13642,plain,
% 198.33/198.49 (~E(f337(f246(f887(x136421),x136422,f210(x136421),f337(f16(f887(x136421),x136423),f210(x136421))),f337(x136424,x136425)),f337(f209(x136421),x136426))),
% 198.33/198.49 inference(rename_variables,[],[11333])).
% 198.33/198.49 cnf(13645,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),x136451),f337(f337(f81(a884),x136452),x136451)))),
% 198.33/198.49 inference(rename_variables,[],[3597])).
% 198.33/198.49 cnf(13648,plain,
% 198.33/198.49 (E(f337(x136481,f664(f337(x136481,x136482),f337(f209(x136483),x136482),x136481,x136484,x136483)),f337(x136481,x136482))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13655,plain,
% 198.33/198.49 (E(f337(x136551,f664(f337(x136551,x136552),f337(f209(x136553),x136552),x136551,x136554,x136553)),f337(x136551,x136552))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13678,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x136781,x136782,x136783,f260(f893(a884,a878))),x136784))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13683,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f893(x136831,a878),f893(x136831,a878))),f337(f337(f272(f893(x136831,a878),f893(x136831,a878)),x136832),f197(f893(x136831,a878)))),f312(x136831)))),
% 198.33/198.49 inference(rename_variables,[],[11219])).
% 198.33/198.49 cnf(13686,plain,
% 198.33/198.49 (~P24(f337(f337(f252(a884),f337(f275(x136861,x136862),f337(f337(f272(x136861,x136862),a24),x136863))),x136863))),
% 198.33/198.49 inference(rename_variables,[],[12198])).
% 198.33/198.49 cnf(13689,plain,
% 198.33/198.49 (~P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(a115,x136891)),x136892)),x136892))),
% 198.33/198.49 inference(rename_variables,[],[12896])).
% 198.33/198.49 cnf(13697,plain,
% 198.33/198.49 (~P36(x136971,x136972,x136973,f337(f337(f156(x136974,x136971),x136975),f337(a115,f116(x136974))),f116(x136972))),
% 198.33/198.49 inference(rename_variables,[],[11202])).
% 198.33/198.49 cnf(13706,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x137061,a878)),f337(f175(x137061),f337(f337(f140(x137061),x137062),x137063))),f337(f175(x137061),x137063)))),
% 198.33/198.49 inference(rename_variables,[],[4035])).
% 198.33/198.49 cnf(13715,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x137151),x137152),f189(x137153,x137151,f191(x137153,x137151,x137154,f197(f893(x137153,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13718,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x137181,x137182,x137183,f260(f893(a884,a878))),x137184))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13723,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x137231),f885(x137231))),f337(f337(f272(f885(x137231),f885(x137231)),f116(x137231)),x137232)),f337(f292(f885(x137231),f885(x137231)),f147(x137231,x137233))))),
% 198.33/198.49 inference(rename_variables,[],[11166])).
% 198.33/198.49 cnf(13737,plain,
% 198.33/198.49 (~P24(f337(f337(f68(f885(x137371),f885(x137371),f147(x137371,x137372)),x137373),f116(x137371)))),
% 198.33/198.49 inference(rename_variables,[],[11057])).
% 198.33/198.49 cnf(13746,plain,
% 198.33/198.49 (~E(f337(f246(f887(x137461),x137462,f210(x137461),f337(f16(f887(x137461),x137463),f210(x137461))),f337(x137464,x137465)),f337(f209(x137461),x137466))),
% 198.33/198.49 inference(rename_variables,[],[11333])).
% 198.33/198.49 cnf(13749,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),x137491),f337(f337(f81(a884),x137492),x137491)))),
% 198.33/198.49 inference(rename_variables,[],[3597])).
% 198.33/198.49 cnf(13752,plain,
% 198.33/198.49 (E(f337(x137521,f664(f337(x137521,x137522),f337(f209(x137523),x137522),x137521,x137524,x137523)),f337(x137521,x137522))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13758,plain,
% 198.33/198.49 (~E(f337(f337(f315(x137581),x137582),x137583),f197(f893(x137581,a878)))),
% 198.33/198.49 inference(rename_variables,[],[4572])).
% 198.33/198.49 cnf(13761,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x137611,x137611)),x137612),f269(x137611,f197(f893(x137611,a878)))))),
% 198.33/198.49 inference(rename_variables,[],[10965])).
% 198.33/198.49 cnf(13764,plain,
% 198.33/198.49 (~E(f337(f74(x137641,x137642,x137643,a115),x137644),x137644)),
% 198.33/198.49 inference(rename_variables,[],[10906])).
% 198.33/198.49 cnf(13771,plain,
% 198.33/198.49 (~E(f337(f337(f153(x137711),x137712),f337(f337(f136(x137711),f117(x137711,f116(x137711))),x137713)),x137713)),
% 198.33/198.49 inference(rename_variables,[],[11524])).
% 198.33/198.49 cnf(13774,plain,
% 198.33/198.49 (P24(f337(f337(f251(a1),f45(a884,x137741,f197(a884))),x137741))),
% 198.33/198.49 inference(rename_variables,[],[11775])).
% 198.33/198.49 cnf(13781,plain,
% 198.33/198.49 (~P24(f337(f337(f68(f885(x137811),f885(x137811),f147(x137811,x137812)),x137813),f116(x137811)))),
% 198.33/198.49 inference(rename_variables,[],[11057])).
% 198.33/198.49 cnf(13784,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x137841,x137842)),x137843),f337(f316(f892(x137844,x137844),f892(x137841,x137842),f277(x137844,x137841,x137844,x137842,x137845,x137846)),f155(x137844,f116(f893(x137844,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(13793,plain,
% 198.33/198.49 (~P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(a115,x137931)),x137932)),x137932))),
% 198.33/198.49 inference(rename_variables,[],[12896])).
% 198.33/198.49 cnf(13798,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),f337(f337(f22(a1),x137981),f79(a1))),x137981))),
% 198.33/198.49 inference(rename_variables,[],[10775])).
% 198.33/198.49 cnf(13805,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x138051,x138052,x138053,f260(f893(a884,a878))),x138054))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13808,plain,
% 198.33/198.49 (~E(f337(f337(f315(x138081),x138082),x138083),f197(f893(x138081,a878)))),
% 198.33/198.49 inference(rename_variables,[],[4572])).
% 198.33/198.49 cnf(13821,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x138211),x138212),f189(x138213,x138211,f191(x138213,x138211,x138214,f197(f893(x138213,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13824,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x138241,a878)),x138242),f337(f337(f113(f893(x138241,a878)),x138243),x138242)))),
% 198.33/198.49 inference(rename_variables,[],[3931])).
% 198.33/198.49 cnf(13827,plain,
% 198.33/198.49 (P24(f337(f337(f339(f892(x138271,x138271)),f337(f337(f272(x138271,x138271),x138272),x138272)),f337(f337(f294(x138271,x138271,x138271),f313(x138271,x138273)),f313(x138271,f313(x138271,x138273)))))),
% 198.33/198.49 inference(rename_variables,[],[12448])).
% 198.33/198.49 cnf(13833,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x138331,x138332,x138333,f260(f893(a884,a878))),x138334))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13836,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),f337(f337(f22(a1),x138361),f79(a1))),x138361))),
% 198.33/198.49 inference(rename_variables,[],[10775])).
% 198.33/198.49 cnf(13845,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x138451),f885(x138451))),f337(f337(f272(f885(x138451),f885(x138451)),x138452),f116(x138451))),f337(f292(f885(x138451),f885(x138451)),f159(x138451,x138453))))),
% 198.33/198.49 inference(rename_variables,[],[11210])).
% 198.33/198.49 cnf(13854,plain,
% 198.33/198.49 (E(f337(x138541,f664(f337(x138541,x138542),f337(f209(x138543),x138542),x138541,x138544,x138543)),f337(x138541,x138542))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13863,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x138631),f885(x138631))),f337(f337(f272(f885(x138631),f885(x138631)),f116(x138631)),x138632)),f337(f292(f885(x138631),f885(x138631)),f147(x138631,x138633))))),
% 198.33/198.49 inference(rename_variables,[],[11166])).
% 198.33/198.49 cnf(13868,plain,
% 198.33/198.49 (E(f337(x138681,f664(f337(x138681,x138682),f337(f209(x138683),x138682),x138681,x138684,x138683)),f337(x138681,x138682))),
% 198.33/198.49 inference(rename_variables,[],[11144])).
% 198.33/198.49 cnf(13871,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x138711),x138712),f189(x138713,x138711,f191(x138713,x138711,x138714,f197(f893(x138713,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13881,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x138811),x138812),f189(x138813,x138811,f191(x138813,x138811,x138814,f197(f893(x138813,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13887,plain,
% 198.33/198.49 (P24(f337(f337(f251(a1),f45(a884,x138871,f197(a884))),x138871))),
% 198.33/198.49 inference(rename_variables,[],[11775])).
% 198.33/198.49 cnf(13901,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x139011,x139012,x139013,f260(f893(a884,a878))),x139014))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13914,plain,
% 198.33/198.49 (~P36(x139141,x139142,x139143,f337(f337(f156(x139144,x139141),x139145),f337(a115,f116(x139144))),f116(x139142))),
% 198.33/198.49 inference(rename_variables,[],[11202])).
% 198.33/198.49 cnf(13928,plain,
% 198.33/198.49 (E(f337(f80(f893(x139281,a878)),f337(f80(f893(x139281,a878)),x139282)),x139282)),
% 198.33/198.49 inference(rename_variables,[],[3456])).
% 198.33/198.49 cnf(13935,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x139351),x139352),f189(x139353,x139351,f191(x139353,x139351,x139354,f197(f893(x139353,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13944,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x139441,x139442,x139443,f260(f893(a884,a878))),x139444))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(13953,plain,
% 198.33/198.49 (E(f337(f80(f893(x139531,a878)),f337(f80(f893(x139531,a878)),x139532)),x139532)),
% 198.33/198.49 inference(rename_variables,[],[3456])).
% 198.33/198.49 cnf(13965,plain,
% 198.33/198.49 (~E(f260(f893(x139651,a878)),f197(f893(x139651,a878)))),
% 198.33/198.49 inference(rename_variables,[],[4548])).
% 198.33/198.49 cnf(13968,plain,
% 198.33/198.49 (~P24(f337(f337(f252(a884),x139681),f337(f337(f104(a884),x139681),x139682)))),
% 198.33/198.49 inference(rename_variables,[],[12031])).
% 198.33/198.49 cnf(13977,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),f337(f337(f22(a1),x139771),f79(a1))),x139771))),
% 198.33/198.49 inference(rename_variables,[],[10775])).
% 198.33/198.49 cnf(13996,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x139961),x139962),f189(x139963,x139961,f191(x139963,x139961,x139964,f197(f893(x139963,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(13999,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x139991,a878)),x139992),f337(f337(f113(f893(x139991,a878)),x139993),x139992)))),
% 198.33/198.49 inference(rename_variables,[],[3931])).
% 198.33/198.49 cnf(14002,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),x140021),f337(f337(f81(a884),x140022),x140021)))),
% 198.33/198.49 inference(rename_variables,[],[3597])).
% 198.33/198.49 cnf(14007,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),f337(f337(f81(a884),f2(a884)),x140071)),x140071))),
% 198.33/198.49 inference(rename_variables,[],[13297])).
% 198.33/198.49 cnf(14012,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x140121),x140122),f189(x140123,x140121,f191(x140123,x140121,x140124,f197(f893(x140123,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(14023,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),x140231),f337(f337(f81(a884),x140232),x140231)))),
% 198.33/198.49 inference(rename_variables,[],[3597])).
% 198.33/198.49 cnf(14028,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x140281),x140282),f189(x140283,x140281,f191(x140283,x140281,x140284,f197(f893(x140283,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(14033,plain,
% 198.33/198.49 (~P24(f337(f337(f251(a884),f337(f337(f81(a884),f337(a115,x140331)),x140332)),x140332))),
% 198.33/198.49 inference(rename_variables,[],[12896])).
% 198.33/198.49 cnf(14036,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),f337(f337(f22(a1),x140361),f79(a1))),x140361))),
% 198.33/198.49 inference(rename_variables,[],[10775])).
% 198.33/198.49 cnf(14041,plain,
% 198.33/198.49 (P24(f337(f337(f92(a1),x140411),x140411))),
% 198.33/198.49 inference(rename_variables,[],[3327])).
% 198.33/198.49 cnf(14048,plain,
% 198.33/198.49 (E(f337(f80(f893(x140481,a878)),f337(f80(f893(x140481,a878)),x140482)),x140482)),
% 198.33/198.49 inference(rename_variables,[],[3456])).
% 198.33/198.49 cnf(14053,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x140531),f885(x140531))),f337(f337(f272(f885(x140531),f885(x140531)),x140532),x140533)),f159(x140531,f155(x140531,f116(f893(x140531,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11310])).
% 198.33/198.49 cnf(14068,plain,
% 198.33/198.49 (~E(f337(f337(f315(x140681),x140682),x140683),f197(f893(x140681,a878)))),
% 198.33/198.49 inference(rename_variables,[],[4572])).
% 198.33/198.49 cnf(14073,plain,
% 198.33/198.49 (P36(x140731,x140732,x140733,f337(f337(f156(x140734,x140731),x140735),f117(x140734,f116(x140734))),f116(x140732))),
% 198.33/198.49 inference(rename_variables,[],[11206])).
% 198.33/198.49 cnf(14100,plain,
% 198.33/198.49 (~P24(f337(f67(a884,x141001,x141002,x141003,f260(f893(a884,a878))),x141004))),
% 198.33/198.49 inference(rename_variables,[],[11240])).
% 198.33/198.49 cnf(14107,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x141071),f885(x141071))),f337(f337(f272(f885(x141071),f885(x141071)),x141072),x141073)),f159(x141071,f155(x141071,f116(f893(x141071,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11310])).
% 198.33/198.49 cnf(14116,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x141161,a878)),x141162),f337(f337(f113(f893(x141161,a878)),x141163),x141162)))),
% 198.33/198.49 inference(rename_variables,[],[3931])).
% 198.33/198.49 cnf(14121,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x141211),x141212),f189(x141213,x141211,f191(x141213,x141211,x141214,f197(f893(x141213,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(14129,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x141291,x141292)),x141293),f337(f316(f892(x141294,x141294),f892(x141291,x141292),f277(x141294,x141291,x141294,x141292,x141295,x141296)),f155(x141294,f116(f893(x141294,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14132,plain,
% 198.33/198.49 (~P24(f337(f337(f252(a884),x141321),f337(f198(f885(x141322)),f116(x141322))))),
% 198.33/198.49 inference(rename_variables,[],[12480])).
% 198.33/198.49 cnf(14135,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),x141351),f337(f337(f81(a884),x141352),x141351)))),
% 198.33/198.49 inference(rename_variables,[],[3597])).
% 198.33/198.49 cnf(14138,plain,
% 198.33/198.49 (P24(f337(f337(f339(f892(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878))),f337(f337(f272(f893(f892(a884,a884),a878),f893(f892(a884,a884),a878)),x141381),f197(f893(f892(a884,a884),a878)))),a72))),
% 198.33/198.49 inference(rename_variables,[],[4328])).
% 198.33/198.49 cnf(14141,plain,
% 198.33/198.49 (P24(f337(f337(f92(a1),x141411),x141411))),
% 198.33/198.49 inference(rename_variables,[],[3327])).
% 198.33/198.49 cnf(14152,plain,
% 198.33/198.49 (~P24(f337(f197(f893(x141521,a878)),x141522))),
% 198.33/198.49 inference(rename_variables,[],[10287])).
% 198.33/198.49 cnf(14167,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x141671,x141671)),x141672),f269(x141671,f197(f893(x141671,a878)))))),
% 198.33/198.49 inference(rename_variables,[],[10965])).
% 198.33/198.49 cnf(14181,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x141811,x141812)),x141813),f337(f316(f892(x141814,x141814),f892(x141811,x141812),f277(x141814,x141811,x141814,x141812,x141815,x141816)),f155(x141814,f116(f893(x141814,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14188,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x141881),f885(x141881))),f337(f337(f272(f885(x141881),f885(x141881)),x141882),x141883)),f159(x141881,f155(x141881,f116(f893(x141881,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11310])).
% 198.33/198.49 cnf(14196,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x141961,x141962)),x141963),f337(f316(f892(x141964,x141964),f892(x141961,x141962),f277(x141964,x141961,x141964,x141962,x141965,x141966)),f155(x141964,f116(f893(x141964,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14204,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(f885(x142041),f885(x142041))),f337(f337(f272(f885(x142041),f885(x142041)),x142042),x142043)),f159(x142041,f155(x142041,f116(f893(x142041,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11310])).
% 198.33/198.49 cnf(14207,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x142071,x142071)),x142072),f269(x142071,f197(f893(x142071,a878)))))),
% 198.33/198.49 inference(rename_variables,[],[10965])).
% 198.33/198.49 cnf(14214,plain,
% 198.33/198.49 (~P24(f337(f337(f252(a884),x142141),f337(f198(f885(x142142)),f116(x142142))))),
% 198.33/198.49 inference(rename_variables,[],[12480])).
% 198.33/198.49 cnf(14221,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x142211,a878)),x142212),f337(f337(f113(f893(x142211,a878)),x142213),x142212)))),
% 198.33/198.49 inference(rename_variables,[],[3931])).
% 198.33/198.49 cnf(14238,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x142381),x142382),f189(x142383,x142381,f191(x142383,x142381,x142384,f197(f893(x142383,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(14243,plain,
% 198.33/198.49 (E(f337(f80(f893(x142431,a878)),f337(f80(f893(x142431,a878)),x142432)),x142432)),
% 198.33/198.49 inference(rename_variables,[],[3456])).
% 198.33/198.49 cnf(14249,plain,
% 198.33/198.49 (P24(f337(f337(f252(a1),f337(f337(f22(a1),x142491),f79(a1))),x142491))),
% 198.33/198.49 inference(rename_variables,[],[10775])).
% 198.33/198.49 cnf(14265,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x142651),x142652),f189(x142653,x142651,f191(x142653,x142651,x142654,f197(f893(x142653,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(14270,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x142701,x142702)),x142703),f337(f316(f892(x142704,x142704),f892(x142701,x142702),f277(x142704,x142701,x142704,x142702,x142705,x142706)),f155(x142704,f116(f893(x142704,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14286,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x142861,a878)),x142862),f337(f337(f113(f893(x142861,a878)),x142863),x142862)))),
% 198.33/198.49 inference(rename_variables,[],[3931])).
% 198.33/198.49 cnf(14292,plain,
% 198.33/198.49 (P24(f337(f337(f251(a884),x142921),f337(f337(f81(a884),x142922),x142921)))),
% 198.33/198.49 inference(rename_variables,[],[3597])).
% 198.33/198.49 cnf(14305,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x143051),x143052),f189(x143053,x143051,f191(x143053,x143051,x143054,f197(f893(x143053,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(14308,plain,
% 198.33/198.49 (~P24(f337(f337(f339(x143081),x143082),f189(x143083,x143081,f191(x143083,x143081,x143084,f197(f893(x143083,a878))))))),
% 198.33/198.49 inference(rename_variables,[],[11293])).
% 198.33/198.49 cnf(14311,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x143111,x143111)),x143112),f269(x143111,f197(f893(x143111,a878)))))),
% 198.33/198.49 inference(rename_variables,[],[10965])).
% 198.33/198.49 cnf(14335,plain,
% 198.33/198.49 (~E(f337(f246(f887(x143351),x143352,f210(x143351),f337(f16(f887(x143351),x143353),f210(x143351))),f337(x143354,x143355)),f337(f209(x143351),x143356))),
% 198.33/198.49 inference(rename_variables,[],[11333])).
% 198.33/198.49 cnf(14343,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x143431,x143432)),x143433),f337(f316(f892(x143434,x143434),f892(x143431,x143432),f277(x143434,x143431,x143434,x143432,x143435,x143436)),f155(x143434,f116(f893(x143434,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14349,plain,
% 198.33/198.49 (P24(f337(f337(f252(a884),x143491),f337(a115,f337(f337(f81(a884),x143491),x143492))))),
% 198.33/198.49 inference(rename_variables,[],[3785])).
% 198.33/198.49 cnf(14359,plain,
% 198.33/198.49 (~P24(f337(f337(f68(f885(x143591),f885(x143591),f147(x143591,x143592)),x143593),f116(x143591)))),
% 198.33/198.49 inference(rename_variables,[],[11057])).
% 198.33/198.49 cnf(14362,plain,
% 198.33/198.49 (P24(f337(f337(f252(a884),x143621),f337(a115,f337(f337(f81(a884),x143621),x143622))))),
% 198.33/198.49 inference(rename_variables,[],[3785])).
% 198.33/198.49 cnf(14370,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x143701,x143702)),x143703),f337(f316(f892(x143704,x143704),f892(x143701,x143702),f277(x143704,x143701,x143704,x143702,x143705,x143706)),f155(x143704,f116(f893(x143704,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14394,plain,
% 198.33/198.49 (P24(f337(f337(f251(f893(x143941,a878)),f337(f337(f22(f893(x143941,a878)),x143942),x143943)),x143942))),
% 198.33/198.49 inference(rename_variables,[],[4059])).
% 198.33/198.49 cnf(14408,plain,
% 198.33/198.49 (E(f337(f80(f893(x144081,a878)),f337(f80(f893(x144081,a878)),x144082)),x144082)),
% 198.33/198.49 inference(rename_variables,[],[3456])).
% 198.33/198.49 cnf(14429,plain,
% 198.33/198.49 (E(f337(f80(f893(x144291,a878)),f337(f80(f893(x144291,a878)),x144292)),x144292)),
% 198.33/198.49 inference(rename_variables,[],[3456])).
% 198.33/198.49 cnf(14432,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x144321,x144322)),x144323),f337(f316(f892(x144324,x144324),f892(x144321,x144322),f277(x144324,x144321,x144324,x144322,x144325,x144326)),f155(x144324,f116(f893(x144324,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14444,plain,
% 198.33/198.49 (~P24(f337(f337(f339(f892(x144441,x144442)),x144443),f337(f316(f892(x144444,x144444),f892(x144441,x144442),f277(x144444,x144441,x144444,x144442,x144445,x144446)),f155(x144444,f116(f893(x144444,a884))))))),
% 198.33/198.49 inference(rename_variables,[],[11346])).
% 198.33/198.49 cnf(14493,plain,
% 198.33/198.49 ($false),
% 198.33/198.49 inference(scs_inference,[],[3890,3843,4328,13625,14138,3456,13928,13953,14048,14243,14408,14429,3597,13505,13645,13749,14002,14023,14135,14292,3571,3227,3277,4035,13706,3946,3785,14349,14362,3327,13620,14041,14141,4548,13965,4572,13758,13808,14068,4582,3882,3883,3950,4059,13579,13609,14394,3420,3328,3963,3931,13824,13999,14116,14221,14286,4360,4386,4586,11144,13378,13383,13388,13415,13434,13437,13440,13443,13449,13455,13473,13612,13617,13648,13655,13752,13854,13868,10980,11206,14073,10491,11181,12443,11057,13478,13737,13781,14359,11333,13642,13746,14335,10433,11155,11288,11166,13723,13863,11210,13492,13845,10719,11213,10327,10546,10900,13561,12448,13827,10428,13004,11522,11524,13771,13214,11293,13368,13446,13458,13461,13464,13467,13470,13481,13541,13571,13715,13821,13871,13881,13935,13996,14012,14028,14121,14238,14265,14305,14308,10564,12500,11310,13590,14053,14107,14188,14204,11346,13784,14129,14181,14196,14270,14343,14370,14432,14444,11273,11337,11980,11219,13683,11286,13132,12484,10965,13761,14167,14207,14311,12090,10955,11083,11196,13515,11035,11235,11237,11176,12416,10952,11202,13697,13914,13317,10438,13538,10906,13564,13764,12785,11912,12244,13236,11240,13524,13574,13678,13718,13805,13833,13901,13944,14100,10596,10287,14152,12269,12480,13399,14132,14214,12713,10240,13297,14007,11771,12198,13686,11845,13556,11948,12896,13689,13793,14033,11204,10714,10817,12031,13968,10775,13495,13798,13836,13977,14036,14249,11827,13232,11775,13484,13498,13527,13774,13887,13285,10732,11319,12260,12301,12694,10903,13391,13394,11130,13362,11528,10384,12154,10531,10323,13365,13212,10615,11661,11720,12174,11831,10874,12707,12072,10379,2912,3384,3267,3322,3830,3541,4581,3699,4265,4624,4045,3347,4579,3646,3780,4616,4672,4822,5491,5497,5590,5591,5757,5816,5825,6053,6095,6126,6146,6302,6526,6555,6596,6885,6914,6941,7361,7781,7968,8020,8022,8023,8399,8739,9016,4658,4811,4707,4709,4812,5099,5285,5286,5465,7124,7125,7633,8834,8851,5179,6469,6803,6946,6192,6418,6427,9066,5644,5660,6254,6470,6942,5103,9608,5082,6370,5295,7415,7689,4956,5314,5642,6123,6631,8651,4924,9248,6419,6829,7917,5401,5860,6964,6296,5276,4762,4993,5749,6522,5614,5975,6241,8042,9847,8576,9944,9065,5736,5360,5470,6632,6998,8570,9740,6141,8426,8508,5626,5287,6322,8081,8495,5307,5576,5933,6709,8732,5165,9943,6162,4766,5460,5983,4705,9752,5803,6020,5305,5471,9356,6525,8446,4930,5881,5954,6120,9750,5176,6292,6373,7212,8098,8577,5520,5521,7010,5240,5958,4662,8008,5855,6502,7881,5479,5421,9132,9417,7005,5018,8187,9304,5475,8514,7398,4713,5407,9653,10147,4761,7804,5594,4971,6685,6929,9301,6751,8832,5826,6157,8450,8868,9592,5377,6781,5762,7234,5887,5814,5833,5810,5991,8240,9249,8857,8961,7845,5806,5875,7558,5302,7370,9977,9582,5819,6307,4703,6831,6860,8937,9454,8641,4706,9776,10074,5166,6236,8833,5822,6333,9456,5288,6317,6341,7041,8424,7834,6137,5232,6139,7892,9762,5715,5410,6878,6783,8715,4636,6325,6833,9104,9501,6430,5812,5996,7621,5368,5861,6347,6436,6543,5625,9133,5376,8830,6858,7243,7769,5808,5672,6060,6186,9327,6294,4769,9081,9698,9526,6165,8487,6536,6827,7974,9956,9307,5267,6379,8788,5758,7423,8820,6479,5743,5394,5544,9324,5118,8750,9455,7502,5405,5797,5969,8643,6429,9654,5280,9328,8835,5462,7217,5751,6235,6422,7836,6244,8639,6423,6290,4955,5041,5426,10148,5598,5656,5388,8097,6032,8518,8569,9203,8850,5112,6822,8497,5702,9610,7157,4985,5973,5269,5595,5754,6160,6187,9287,8465,9646,7803,7421,7603,9520,6023,6119,9779,10023,5279,9982,5740,8635,9647,9957,5439,7486,7555,8683,8787,8303,6426,8951,6142,4768,5536,6250,6940,6789,8728,4805,4846,5670,6190,7512,8552,5370,5864,9708,9590,9067,5231,5750,6309,9034,6384,6782,8682,9098,7397,6575,8598,8623,5824,6577,6802,8810,9699,5311,5389,5256,5669,5798,5839,4840,5841,6116,8946,8,9,4810,8597,8831,5040,6166,5042,8912,8259,9843,5385,5912,7399,9807,5111,8432,6825,6847,5945,5019,6340,6830,7372,9259,5974,5703,6861,5306,8575,4711,5632,6591,6780,6143,5278,5347,4908,5420,8114,8607,6099,8856,5504,7708,6790,5117,5375,5876,7060,7074,8774,7483,5612,8918,7301,9250,5613,7553,8642,5371,10217,8578,8553,9591,4744]),
% 198.33/198.49 ['proof']).
% 198.33/198.50 % SZS output end Proof
% 198.33/198.50 % Total time :183.260000s
%------------------------------------------------------------------------------